Answer:
13. -75
14. 65536
15. 2
16. 28
17. 6.5
18. 153
Step-by-step explanation:
13. 2x(-2)+3^2 x 2x(-2^2)+3^0
-4 - 9 x 2 x 2^2 + 1
-4 - 9 x 2^3 +1
-4 - 9 x 8 + 1
-4 - 72 +1
-75
14. 4 x 4^2 x (-2 x 4^2)^2
2^2 x 2^4 x (2 x 4^2)^2
2^2 x 2^4 x (2 x 2^4)^2
2^2 x 2^4 x (2^5)^2
2^2 x 2^4 x 2^10
2^16 = 65536
15. 18 x (-3^3) / 9 x (-3) - 2^4
18 x 3^3 / 9x 3 - 2^4
2 x 3^3 / 3 - 2^4
2 x 3^2 - 2^4
2 x 9 - 16
18 - 16
2
16. -2^-2 / -2^1 x -2^3/ -2^2 + 12 x (-3^5) / 4 x (-3^3)
2^-2 / 2^1 x 2^3/ 2^2 + 12 x 3^5 / 4 x 3^3
2^-2 / 2^1 x 2 + 12 x 3^5 / 4 x 3^3
1 / 2 x 2 + 12 x 3^5 / 4 x 3^3
1 / 2 x 2 + 3 x 3^5 / 3^3
1 / 2 x 2 + 3 x 3^2
1 + 3 x 3^2
1 + 3^3
1 + 27
28
17. -2^4 + -2^2 / -2^3 +(-2^4) x (-2^-2)
-2^4 -2^2 / -2^3 +(-2^4) x (-2^-2)
-2^4 -2^2 / -2^3 + 2^4 x 2^-2
-2^4 -2^2 / -2^3 +2^2
-2^2 x (2^2 + 1) / -2^3 +2^2
-2^2 x (2^2 + 1) / -2^3 + 4
4 + 1 / 2 + 4
5 / 2 + 4
13 / 2 = 6.5
18. (12 x 2^-1 / 4 x 2^-3)^2 - (-3^2)
(12 x 2^-1 / 4 x 2^-3)^2 + 3^2
(3 x 2^-1 / 2^-3)^2 + 3^2
(3 x 2^2)^2 + 3^2
(3 x 4)^2 + 9
12^2 + 9
144 + 9
153
how do you use TAN in equations and what is it?
Answer:
TAN is a mathematical function in trigonometry that stands for tangent. It is used to calculate the tangent of an angle in a right triangle, which is defined as the ratio of the length of the opposite side to the length of the adjacent side.
In equations, you can use TAN to find the value of the tangent of an angle. For example, if you have an angle of 30 degrees in a right triangle and you want to find the value of the tangent of that angle, you can use the TAN function in your calculator or programming language.
The syntax of the TAN function is usually "tan(x)", where x is the angle in radians. If your calculator or programming language uses degrees instead of radians, you may need to convert the angle to radians first using the conversion formula: radians = degrees * (pi/180).
For example, to find the value of the tangent of 30 degrees, you can use the TAN function as follows:
In degrees mode: TAN(30) = 0.57735027
In radians mode: TAN(30*pi/180) = 0.57735027
TAN can be used in various trigonometric equations and identities to solve for unknown sides or angles of a right triangle.
Step-by-step explanation:
asap answer dont get it wrong
Answer:
B
Step-by-step explanation:
The parabola minimum is 3
The top quadratic minimum is 2 so
g(x) minimum is greater
Multiply the radicals
Answer:
3r^6
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Find the area of the surface generated by revolving the curve y = -2√6 ≤x≤0, about the x-axis.
The area of the surface is (Type an exact answer, using it as needed.)
The area of the surface generated by revolving the curve y = -2√6, where -√6 ≤ x ≤ 0, about the x-axis is -24π.
To find the area of the surface generated by revolving the curve y = -2√6, where -√6 ≤ x ≤ 0, about the x-axis, we can use the formula for the surface area of a revolution.
The formula for the surface area of a surface generated by revolving a curve y = f(x) about the x-axis over an interval [a, b] is given by the integral:
A = 2π ∫[a,b] y √(1 + (f'(x))²) dx
In this case, the curve is y = -2√6 and the interval is -√6 ≤ x ≤ 0. Let's first calculate f'(x), which is the derivative of -2√6:
f'(x) = 0
Now, we can substitute the values into the surface area formula:
A = 2π ∫[-√6,0] -2√6 √(1 + 0²) dx
Simplifying further:
A = 2π ∫[-√6,0] -2√6 dx
Integrating:
A = -4π √6 [x]_[-√6,0]
Evaluating the limits:
A = -4π √6 (0 - (-√6))
A = -4π √6 (√6)
Finally, simplifying:
A = -4π(6)
A = -24π
Therefore, the area of the surface generated by revolving the curve y = -2√6, where -√6 ≤ x ≤ 0, about the x-axis is -24π.
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If the x-value is multiplied by 3, what happens to y? The y-value is multiplied by _______
Answer:
Follow me please
Mark brainliest
Question
Find the perimeter of the figure to the nearest hundredth. pls help
Answer:
50.26 in
Step-by-step explanation:
First you need the circumference of half of a circle.
Circumference = diameter x pi. The radius is 9, so the diameter is 18. 18 * 3.14 = 56.52. But you need half of that, so 56.52 / 2 = 28.26
Then add the other 3 sides
28.26 + 5 + 12 + 5 = 50.26
Calculating the Number of Periods [LO4] You expect to receive $39,000 at graduation in two years. You plan on investing it at 10 percent until you have $174,000. How long will you wait from now? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Period years
You would need to wait approximately 51.33 years from now to grow your initial investment of $39,000 to $174,000 at an interest rate of 10% per year.
To calculate the number of periods (years) required to grow an initial investment to a desired future value, we can use the formula for compound interest:
FV = PV * \((1 + r)^n\)
Where:
FV is the future value
PV is the present value (initial investment)
r is the interest rate per period
n is the number of periods
In this case:
PV = $39,000
FV = $174,000
r = 10% per year
Let's calculate the number of periods (years):
FV = PV * \((1 + r)^n\)
174,000 = 39,000 * \((1 + 0.10)^n\)
Divide both sides by 39,000:
4.4615 = \((1.10)^n\)
Take the logarithm of both sides to solve for n:
log(4.4615) = n * log(1.10)
n ≈ log(4.4615) / log(1.10)
n ≈ 2.1270 / 0.0414
n ≈ 51.33 (rounded to two decimal places)
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Housing prices in a small town are normally distributed with a mean of $156,000
and a standard deviation of $8,000 . Use the empirical rule to complete the following statement. Approximately 99.7 % of housing prices are between a low price of$_______ and a high price of$_______
So the answer here is approximately 95% of housing prices are between a low price of $143000 and a high price of $171000.
What is meant by empirical rule?The empirical rule, also known as the three-sigma rule or 68-95-99.7 rule, is a statistical principle that asserts that, with a normal distribution, virtually all observed data will lie within three standard deviations (denoted by ) of the mean or average (denoted by ).
The empirical rule specifically states that 68% of observations will fall inside the first standard deviation, 95% will fall within the first two standard deviations, and 99.7% will fall within the first three standard deviations.
The Empirical Rule indicates that 99.7% of data that are seen to have a normal distribution fall within 3 standard deviations of the mean.
According to this criteria, 68% of the data falls within one standard deviation, 95% within two standard deviations, and 99.7% within three standard deviations of the mean.
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Subtract the polynomials
(3x² + 2x − 5) – (4x² – 3x − 4)
A:-7x²+5x-9
B:7x²-x-9
C:x²-x-9
D:-x²+5x-1
please helpppp asap
Answer:
-x² + 5x - 1
Step-by-step explanation:
separate the x², the x, and the constants (numbers without any x).
3x² - 4x² = -x²
2x - -3x = 2x + 3x = 5x
-5 - -4 = -5 + 4 = -1.
we have -x² + 5x - 1
what is 8.1, 8.16, 8.106, 7.1242 from least to greatest?
Answer:
7.1242, 8.1, 8.106, 8.16
Step-by-step explanation:
Jahnay is following this recipe to make cakes.
Jahnay uses 600 g of sugar.
How many cakes is Jahnay making?
Recipe: Makes 1 Cake
120 g butter
150 g sugar
200 g flour
2 eggs
Answer: Jahnay makes 4 cakes bc 120g butter u times by 4 and gets u 360g and u get 4 cakes
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
What assumption is made so that the pooled variance estimate can be substituted for the population variances within the standard error of the differences formula? the population variances are homogeneous the population variances are heterogeneous the sample sizes are equal the sample sizes are large
The correct answer is option A. The assumption that is made so that the pooled variance estimate can be substituted for the population variances within the standard error of the differences formula is that the population variances are homogeneous.
This implies that the variances of the two populations under comparison should be comparable.
For many statistical tests, including the t-test and ANOVA, homogeneity of variance is a crucial presumption. The pooled variance estimate is not a reliable substitute for population variances if the variances of the two populations are not equal.
Consequently, in order to apply the pooled variance estimate in the standard error of the differences formula, the homogeneity of variance assumption is required.
Complete Question:
What assumption is made so that the pooled variance estimate can be substituted for the population variances within the standard error of the differences formula?
A. The population variances are homogeneous
B. The population variances are heterogeneous
C. The sample sizes are equal
D. The sample sizes are large
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what are the first three terms of the sequence 40-2n
Answer:
1 term-38. ,2nd term-36. ,3rd tern is34
can yall help me pls i will give yall the brainliest
Answer: click point (-4,4)
Step-by-step explanation:
here is the answer for the x and y axis
when in brackets x always comes first and y second
in this case x is -4 and y is 4
x axis goes like this----
y axis goes like this |
ANSWER ASAP!!!
PLS HELP.
ANSWER BOTH QUESTIONS FOR ALL POINTS.
Answer:
128°
Step-by-step explanation:
x + 154° + 78° = 360° {being complete turn}
x + 232° = 360°
x = 360° - 232°
x = 128°
someone report this so it will get taken down
You have $2.40 to spend on grapes and bananas. The equation would be 1.2x+0.8y=2.4, where x is the number of pounds of grapes, and y is the number of poun
of bananas
Interpret the x and y intercepts.
Answer:
1.2x + 0.8y = 2.4
x = 5/3
y = 0.5
(please give brain if this helps or is correct)
Step-by-step explanation:
to solve an equation with 2 missing variable we must simplify then solve the equation
step 1: simplify the equation
ex: 1.2x + 0.8y = 2.4 (0.8y = -1.2x + 2.4)
step 2: divide all numbers by 0.8
ex: 0.8y/0.8 = -1.2x/0.8 + 2.4/0.8 (y = -1.5x + 3)
step 3: subtract 3 from both sides of the equation
ex: y - 3 = -1.5x + 3 - 3 (-3y = -1.5x)
step 4: divide both sides of the equation by -3
ex: -3y/-3 = -1.5x/-3 (y = 0.5)
step 5: plug in 0.5 into y then solve the original equation to find x
ex: 1.2x + 0.8(0.5) = 2.4
step 6: multiply 0.8 by 0.5
ex: 1.2x + 0.8(0.5) = 2.4 (1.2x + 0.4 = 2.4)
step 7: subtract 0.4 from each side of the equation
ex: 1.2x + 0.4 - 0.4 = 2.4 - 0.4 (1.2x = 2.0) or (1.2x = 2)
step 8: divide 1.2 from each side of the equation
ex: 1.2x/1.2 = 2/1.2 (x = 5/3)
step 9: input 5/3 into x and keep 0.5 as y then solve to check your answer
ex: 1.2(5/3) + 0.8(0.5) = 2.4
2 + 0.4 = 2.4
2.4 = 2.4 (if both sides of the equation have the same answer like 2.4 = 2.4 then you answer is true)
Is Point M the midpoint of AB? Select Yes or No for each statement.
Answer:
A). Yes
B). Yes
C). No
D). Yes
Step-by-step explanation:
Coordinates of the midpoint of a segment joining two points \((x_1, y_1)\) and \((x_2,y_2)\) are given by \((\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\).
A). If the points are A(1, 2) and B(3, 4)
Coordinates of the midpoint M → \((\frac{1+3}{2},\frac{2+4}{2})\)
M → (2, 3)
Yes.
B). Extreme points of segment AB are A(0, 8) and B(10, -1)
Coordinates of the midpoint will be,
M → \((\frac{0+10}{2}, \frac{8-1}{2})\)
M → (5, 3.5)
Yes
C). Extreme points of segment AB are A(-7, -5) and B(6, 4)
Coordinates of the midpoint will be,
M → \((\frac{-7+6}{2}, \frac{-5+4}{2})\)
M → (-0.5, -0.5)
NO
D). Extreme points of segment AB are A(4, -2) and B(6, -8)
Coordinates of the midpoint will be,
M → \((\frac{4+6}{2}, \frac{-2-8}{2})\)
M → (5, -5)
Yes
Your friend deposits $6500 in an investment account that earns 8. 4% annual interest. Find the balance after 12 years when the interest is compounded monthly
The balance after 12 years with an interest rate of 8.4% compounded monthly on $6500 is $7,046
The Amount after compound interest is calculated by
\(A=P(1+\frac{r}{n})^t\)
where A is the Amount
P is the Principal
r is the Interest rate (in decimals)
n is the frequency at which the interest is compounded per year
t is the Time duration
According to the question,
Principal = $6500
interest rate = 8.4% compound monthly
Since interest is compounded monthly, n = 12
Time duration = 12 years
Therefore, A = \(6500(1+\frac{0.084}{12})^{12}\)
= 6500 (1.007\()^{12\)
= 6500 * 1.084
= $7,046
Hence, the balance is $7,046.
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6(4y+8)-2 rewrite in the simplest form
Answer: 24y+46
Step-by-step explanation:
6(4y+8)-2
=24y+48-2
=24y+46
= 2(12y+23)
Answer: 24y+46
Step-by-step explanation:
multiply 6 by 4y = 24y
multiply 6 by 8 = 48
you have left 24y + 48 - 2
subtract 2 from 48 and get 46
s the function y = 3(3.5)* a linear, quadratic, or exponential function? Explain
how you know
Answer:
Exponential
Step-by-step explanation:
Any function which has a term aˣ where a is a constant is considered an exponential functionhere
A linear function will have a form such as y = mx + b where m and b are constants.
A quadratic function will have the form y = ax² + bx + c where a, b and c are constants
An exponential function will have the form \(y = ka^{mx}\). It may have a constant as the multiplying factor. But \(a\) has to be a constant greater than 0. k and m are also constants
Examples are
y = \(e^x\) which is the natural exponential function. Value of e is 2.71828....
y = 2ˣ
y = \(5 (3^{2x})\)
The function you provided is of the form \(y = k(a^x)\) with k = 3 and a = 3.5
PLEASE HELP PLEASE I'LL GIVE BRAINLIEST PLEASE
The positive coefficient of x² in the quadratic equation and the the vertex form of the equation obtained by completing the square indicates that the minimum point is; (-15/16, -353/384)
What is a quadratic equation?A quadratic equation is an equation that can be written in the form f(x) = a·x² + b·x + c, where; a ≠ 0, and a, b, and c have constant values.
The quadratic equation can be presented as follows;
y = (2/3)·x² + (5/4)·x - (1/3)
The coefficient of x² is positive, therefore, the parabola has a minimum point.
The quadratic equation can be evaluated using the completing the square method by expressing the equation in the vertex form as follows;
The vertex form is; y = a·(x - h)² + k
Factoring the coefficient of x², we get;
y = (2/3)·(x² + (15/8)·x) - (1/3)
Adding and subtracting (15/16)² inside the bracket to complete the square, we get;
y = (2/3)·(x² + (15/8)·x + (15/16)² - (15/16)²) - (1/3)
y = (2/3)·((x + (15/16))² - (15/16)²) - (1/3)
y = (2/3)·((x + (15/16))² - (2/3)×(15/16)² - (1/3)
y = (2/3)·((x + (15/16))² - 353/384
The coordinates of the minimum point (the vertex) of the parabola is therefore; (-15/16, -353/384)Learn more on the vertex of a parabola here: https://brainly.com/question/31413646
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Please help. Again, I will get in trouble if i dont pass.
Answer:
ok first they give us the equation that is needed to solve the problem
the only thing we need to find is the radius which would be the 4 but that's the whole thing the radius would be 4 and now we plug in our numbers
Step-by-step explanation:
\(\pi\) x \(2^{2}\) x 7≈88
now we apply that same concept to the bottom
\(\pi\) x \(4^{2}\) x 1 ≈ 50
and now we add our 2 totals which is 138
A simple random sample of 31 observations was taken from a large population. the sample mean equals 5. five is a _____.
a. population mean
b. standard error
c. population parameter
d. point estimate
Based on the fact that in the simple random variable, 5 is the sample mean, then it is a d. point estimate.
What is a point estimate?A point estimate refers to a specific value in a random group of variables that tell us more about the variables.
The mean is therefore a point estimate as it tells us the average value amounts the random sample of 31 observations.
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What expression should be used to access the first element of an array of integers called numbers? What expression should be used to access the last element of numbers, assuming it contains 10 elements? What expression can be used to access its last element, regardless of its length?
To access the first element of an array of integers called "numbers," you can use the expression:
numbers[0]`
This expression uses the array name "numbers" and the index "0" to access the first element.
To access the last element of "numbers," assuming it contains 10 elements, use the expression:
`numbers[9]`
Here, we use the index "9" since arrays are zero-indexed, meaning the last element in a 10-element array has an index of 9.
To access the first element of the array called numbers, we would use the expression "numbers[0]."
To access the last element of the array, assuming it contains 10 elements, we would use the expression "numbers [9]" since arrays are zero-indexed in most programming languages.
To access the last element of the array regardless of its length, we can use the expression "numbers [numbers.length-1]," which subtracts 1 from the length of the array to access the last element.
To access the last element, regardless of its length, use the expression:
'numbers [numbers. length - 1]'
This expression uses the "length" property of the array to find the total number of elements and subtracts 1 to get the correct index for the last element.
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Which of the following is not & characteristic of the t test? Choose the correct answer below: The Student t distribution has mean of t = 0 and a standard deviation of 5 = 1. The Student t distribution has the same general bell shape as the standard normal distribution_ The " Student t distribution is different for different sample sizes. The test is robust against - departure from normality:
The option that is not characteristic of the t-test is "The Student t distribution has mean of t = 0 and a standard deviation of 5 = 1". The correct answer is option A.
The t-test is a statistical test that uses the Student t-distribution. The Student t-distribution has a mean of 0, but its standard deviation is not equal to 1. The standard deviation of the t-distribution varies depending on the degrees of freedom, which is determined by the sample size. Therefore, the statement in option A is not true. The correct answer is option A.
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uke has blue and red balls. Every day, he wins 2 blue balls and loses 3 red ones. After 5 days, he has the same amount of blue as red. After 9 days, he has twice as many blues as reds. How many red balls did he have at the beginning? Question not Showing?
A. The number of red balls he had was 8 at the beginning.
Duke's starting red ball total can be found by setting up a system of equations. First, let x represent the number of red balls and y represent the number of blue balls.
After 5 days, the equation is x-15=y+10. This equation states that after 5 days, the number of red balls (x) minus 15 will equal the number of blue balls (y) plus 10. After 9 days, the equation is x-27=2y+20.
This equation states that after 9 days, the number of red balls (x) minus 27 will equal twice the number of blue balls (y) plus 20. To solve for x, both equations can be set equal to each other and solved. This results in x=8. Therefore, Duke had 8 red balls at the beginning.
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You look over the songs in a jukebox and determine that you like 14
of the 53 songs.
(a) What is the probability that you like the next four songs that are played? (Assume song cannot be repeated.)
(b) What is the probability that you do not like the any of the next four songs that are played? (Assume song cannot be repeated.)
The probability that all four songs are liked will be 0.03418 and the probability of not liking the next four songs will be 0.99658.
What is probability?The probability of an event occurring is defined by probability.
Probability is also called chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.
As per the given,
Total songs = 53
Like songs = 14
Probability of selecting and liking the first song = 14/53
Now since repetition is not allowed and one like the song has been chosen out of 14 thus, the remaining songs = 13, and total songs = 43 - 1 = 52
Probability of selecting liking the second song = 13/52
Probability of selecting liking the third song = 12/51
Probability of selecting liking the fourth song = 11/50
a)
The probability of liking all songs will be 14/53 x 13/52 x 12/51 x 11/50 = 0.03418.
b)
The probability of not liking the next four songs =1 - The probability of liking all songs
The probability of not liking the next four songs = 1 - 0.03418 = 0.96582.
Hence "The probability that all four songs are liked will be 0.03418 and the probability of not liking the next four songs will be 0.99658".
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Blair & Rosen, Inc. (B&R), is a brokerage firm that specializes in investment portfolios designed to meet the specific risk tolerances of its clients. A client who contacted B&R this past week has a maximum of $85,000 to invest. B&R's investment advisor decides to recommend a portfolio consisting of two investment funds: an Internet fund and a Blue Chip fund. The Internet fund has a projected annual return of 9%, whereas the Blue Chip fund has a projected annual return of 8%. The investment advisor requires that at most $55,000 of the client's funds should be invested in the Internet fund. B&R services include a risk rating for each investment alternative. The Internet fund, which is the more risky of the two investment alternatives, has a risk rating of 6 per thousand dollars invested. The Blue Chip fund has a risk rating of 4 per thousand dollars invested. For example, if $10,000 is invested in each of the two investment funds, B&R's risk rating for the portfolio would be
6(10) + 4(10) = 100.
Finally, B&R developed a questionnaire to measure each client's risk tolerance. Based on the responses, each client is classified as a conservative, moderate, or aggressive investor. Suppose that the questionnaire results classified the current client as a moderate investor. B&R recommends that a client who is a moderate investor limit his or her portfolio to a maximum risk rating of 410.
(a)
Formulate a linear programming model to find the best investment strategy for this client. (Assume N is the amount invested in the internet fund project and B is the amount invested in the Blue Chip fund. Express the amounts invested in thousands of dollars.)
Max _______________ s.t.
Available investment funds
Maximum investment in the internet fund
Maximum risk for a moderate investor
N, B ≥ 0
(b)
Build a spreadsheet model and solve the problem using Excel Solver. What is the recommended investment portfolio (in dollars) for this client?
internet fund$
blue chip fund$
What is the annual return (in dollars) for the portfolio?
$
(b)
Suppose that a second client with $85,000 to invest has been classified as an aggressive investor. B&R recommends that the maximum portfolio risk rating for an aggressive investor is 450. What is the recommended investment portfolio (in dollars) for this aggressive investor?
internet fund$
blue chip fund$
(d)
Suppose that a third client with $85,000 to invest has been classified as a conservative investor. B&R recommends that the maximum portfolio risk rating for a conservative investor is 320. Develop the recommended investment portfolio (in dollars) for the conservative investor.
internet fund$
blue chip fund$
A. N, B ≥ 0 (non-negativity constraint)
B. The recommended investment portfolio (in dollars) for this client can be found by reading the values in cells A1 and B1.
C. You can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.
D. You can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.
(a)
The linear programming model to find the best investment strategy for this client can be formulated as follows:
Maximize: 0.09N + 0.08B
Subject to:
N + B ≤ 85 (maximum investment of $85,000)
N ≤ 55 (maximum investment of $55,000 in the internet fund)
6N + 4B ≤ 410 (maximum risk rating of 410 for a moderate investor)
N, B ≥ 0 (non-negativity constraint)
(b)
To solve the problem using Excel Solver, you can set up the following spreadsheet model:
Cell A1: N (amount invested in the internet fund)
Cell B1: B (amount invested in the Blue Chip fund)
Cell C1: =0.09A1 + 0.08B1 (annual return for the portfolio)
Constraints:
Cell A2: ≤ 85
Cell B2: ≤ 85
Cell C2: ≤ 55
Cell D2: ≤ 410
The objective is to maximize the value in cell C1 by changing the values in cells A1 and B1, subject to the constraints.
Using Excel Solver, set the objective to maximize the value in cell C1 by changing the values in cells A1 and B1, subject to the constraints in cells A2, B2, C2, and D2.
The recommended investment portfolio (in dollars) for this client can be found by reading the values in cells A1 and B1.
(b)
For the aggressive investor with a maximum portfolio risk rating of 450, the linear programming model remains the same, except for the constraint on the maximum risk rating.
The new constraint would be: 6N + 4B ≤ 450
Using the same spreadsheet model as before, with the updated constraint, you can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.
(d)
For the conservative investor with a maximum portfolio risk rating of 320, the linear programming model remains the same, except for the constraint on the maximum risk rating.
The new constraint would be: 6N + 4B ≤ 320
Using the same spreadsheet model as before, with the updated constraint, you can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.
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A mom pushes her baby in the stroller at the rate of 1/2 a mile in 1/4 an hour. how far do they walk in one walk
Answer:
I am pretty sure you meant 1 hour so the answer is
2
Step-by-step explanation:
Since we want one hour we can multiply 1/4 by 4 to get 1 since we multiplied 1.4 by 4 we need to multiply 1/2 by 4, so we get 2
mina's explanation: i counted up from 15.75 to 176.3 to find the difference. i underlined each number i added on each line.
160.55 is the difference. i underlined each number i added on each line.
What is an linear equation in math?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.
The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
The two numbers are 15.75 and 176.3
First we will compare the numbers.
1. A=176.3
2. B=15.75
one's place of A is greater than once place of B.
tens place of A is greater than tens place of B.
Hundred place of A is greater than hundred place of B.
So, A>B
So we will subtract 15.75 from 176.3.
176.30 -15.75=
176.30 ----A
- 1 5.75 ----B
Hundreths place of A - Hundreths place of B = 0-5=10-5=5
Tenth place of A - Tenth place of B =12-7=5
ones place of A - ones place of B=5-5=0
Tens place of A - Tens place of B =7-1=6
So the solution is 160.55
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