This equation represents the value of the stock, V(t), in dollars, t years after 1940, taking into account the 7% annual Growth rate V(t) = $1.25 * (1 + 0.07)^t.
The value of the stock, V(t), in dollars, t years after 1940, we can use an exponential growth equation since the stock's value grows by 7% each year after 1940.
formulate the equation step by step:
1. We know that the initial value of the stock in 1940 is $1.25. This initial value serves as the starting point for our equation.
2.We are given that the value of the stock grows by 7% each year. This means that for every year that passes, the stock's value increases by 7% of its previous value.
3. In mathematical terms, if V(0) represents the initial value in 1940 ($1.25), then the value of the stock after t years can be represented as:
V(t) = V(0) * (1 + r)^t,
where r is the growth rate expressed as a decimal (in this case, 7% = 0.07).
4. Plugging in the given values, our equation becomes:
V(t) = $1.25 * (1 + 0.07)^t.
This equation represents the value of the stock, V(t), in dollars, t years after 1940, taking into account the 7% annual growth rate.
For example, if we wanted to find the value of the stock 10 years after 1940, we would substitute t = 10 into the equation:
V(10) = $1.25 * (1 + 0.07)^10.
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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
A/60
B/45
C/105
The measurement of angle A is
The measurement of angle B is
The measurement of angle Cis
The second pair of points representing the solution set of the system of equations is (-6, 29).
To find the second pair of points representing the solution set of the system of equations, we need to substitute the x-coordinate of the second point into one of the equations and solve for y.
Given the system of equations:
y = x^2 - 2x - 19
y + 4x = 5
Substituting the x-coordinate of the second point (-6) into equation 2:
y + 4(-6) = 5
y - 24 = 5
y = 5 + 24
y = 29
Therefore, the second pair of points representing the solution set of the system of equations is (-6, 29).
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Question
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
y = x2 − 2x − 19
y + 4x = 5
The pair of points representing the solution set of this system of equations is (-6, 29) and
_________.
1. What is 47% of 268?
Answer:
125.96
Step-by-step explanation:
47 x 268 divided by 100
= 125.96
If M = {distinct letters in the word mathematics} and N = {distinct letters in the word nevertheless}, what is |M × N|?
|M × N| =
The value of the expression represented by |M × N| is 64
How to determine the value of |M × N|?from the question, we have the following parameters that can be used in our computation:
M = {distinct letters in the word mathematics} N = {distinct letters in the word nevertheless}Using the above as a guide, we have the following:
M = 8 i.e. {m, a, t, h, e, i, c, s}.
N = 8 i.e. {n, e, v, r, t, h, l, s}.
So, we have
|M × N| = 8 * 8
Evaluate
|M × N| = 64
Hence, the value of |M × N| is 64
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5. You buy a boat for $35,000 that * 10 points
depreciates in value at about 17%
per year. How much will it be worth
in 3 years?
Your answer
Answer:
9000
Step-by-step explanation:
Please help with the problem in the picture ^ I’ll give brainliest if you give me a small explanation! :)
Answer:
it is c if you add 2x8 wich makes 16
What is the unit rate per bottle if a pack of 25 bottles of juice sells for $5
Answer:
Each bottle cost $0.20. That is the unit rate
Step-by-step explanation:
\(\frac{5.00}{25}\)
Eddie's recipe for bagels makes 18 bagels per batch. Eddie makes 2/3 batch of bagels. How many bagels does Eddie make
Answer:
6
Step-by-step explanation:
18/3=6
Two cylinders, a and b, each started with different amounts of water. The graph shows how the height of the water changed as the volume of water increased in each cylinder. Match the graphs of a and b to Cylinders P and Q. Explain your reasoning. height in centimeters b volume in milliliters P
To match the graphs of cylinders a and b to cylinders P and Q, we need to analyze the relationship between the height of the water and the volume of water in each cylinder.
Cylinder P would correspond to graph b, while Cylinder Q would correspond to graph a.
The reasoning behind this is as follows:
Cylinder P, corresponding to graph b, shows a steeper increase in height with increasing volume. This indicates that the water level rises quickly as more volume is added, suggesting that the cylinder has a smaller cross-sectional area. Since height is directly proportional to volume for a cylinder, a smaller cross-sectional area would result in a higher rise in height for the same volume of water.
Cylinder Q, corresponding to graph a, shows a slower increase in height with increasing volume. This implies that the water level rises more gradually as more volume is added, indicating a larger cross-sectional area. A larger cross-sectional area would result in a smaller increase in height for the same volume of water.
In summary, the steeper graph b matches Cylinder P with a smaller cross-sectional area, while the gentler graph a matches Cylinder Q with a larger cross-sectional area.
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What do all Quadrilaterals have in common?
Answer:
The number of edges
Step-by-step explanation:
quad means 4 so all quadrilaterls have 4 sides.
A truck can be rented from Company A for $100 a day plus $0.30 per mile. Company B charges $50 a day plus $0.80 per mile to rent the same truck. Find the number of miles in a day at which the
rental costs for Company A and Company B are the same.
Atmiles, the rental costs are the same from either company.
Answer:
100 miles
Step-by-step explanation:
Let m be the number of miles.
\(100 + .30m = 50 + .80m\)
\(100 = 50 + .50m\)
\(.50m = 50\)
\(m = 100\)
Answer:
100
Step-by-step explanation:
You can put into a graph such as desmos and see where the lines intersect. the x value of the intersection is the answer you want.
Please please look at the picture and answer the question thank you so much
Answer:
t = I/(Pr)
Step-by-step explanation:
We divide P*r on both sides to isolate t and we get t=I/(P*r)
Peter is going to visit 5 cities this summer. He will choose from 7 different cities, and the order in which he visits the cities does not matter. How many different city combinations are possible for the summer traveling?
There are 21 different city combinations possible for Peter's summer traveling.
To determine the number of different city combinations possible for Peter's summer traveling, we need to calculate the number of combinations of choosing 5 cities out of the 7 available cities.
Since the order in which he visits the cities does not matter, we are dealing with combinations rather than permutations.
The formula to calculate the number of combinations is given by the binomial coefficient, also known as "n choose k," denoted as C(n, k) or (nCk).
In this case, we have 7 cities to choose from, and Peter will visit 5 cities. Thus, we can calculate the number of city combinations as follows:
C(7, 5) = 7! / (5! * (7-5)!)
= 7! / (5! * 2!)
= (7 * 6 * 5!) / (5! * 2)
= (7 * 6) / 2
= 42 / 2
= 21
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I rent a gym for $150 for 30 students. Another time I rent the gym for $350 for 70 students. What is my rate per student?
Answer:
The rate is 5 dollars per student.
Step-by-step explanation:
The rate per student can be found with \(\frac{dollars}{student}\):
\(\frac{150dollars}{30student}=5\frac{dollars}{student}\\\\\frac{350dollars}{70student}=5\frac{dollars}{student}\)
The rate is 5 dollars per student.
HELP URGENT!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
B
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the rate of change of function g from x=-3 to x=-1 is the same as it is from x=-1 to x=1. Is function g linear, quadratic or exponential?
Answer:
We conclude that we conclude that the rate of change of a linear function g from x=-3 to x=-1 is the same as it is from x=-1 to x=1.
Thus, the function is linear.
Step-by-step explanation:
We know that the rate of change remains constant for a linear function.
In other words, the rate of change does not change for the entire domain of a linear function.Comparing with the slope-intercept form
The slope-intercept form of a linear function is
\(y = mx+b\)
where m is the slope or rate of change
For example, considering the linear function
\(y = 6x + 4\)
Then the average rate of change is 6 over any interval selected.
Therefore, we conclude that we conclude that the rate of change of a linear function g from x=-3 to x=-1 is the same as it is from x=-1 to x=1.
Thus, the function is linear.
Find the equation of the line that passes through (1,3) and is perpendicular to
y
=
2
x
−
1
.
Leave your answer in the form
y
=
m
x
+
c
Answer:
y = -1/2x + 7/2
Step-by-step explanation:
perpendicular means making the negative inverse of the slope
perpendicular of y = 2x -1 is
y = -1/2x + b
fill in (1,3)
3 = -1/2(1) + b
3 = -1/2 + b
3 = 6/2
6/2 = -1/2 + b
7/2 = b
y = -1/2x + 7/2
If a ^20 = (a^n)^m, which of the following could be values for m and n?obA) m = -5, n = -4B) m = 10, n = 10C) m = 22, n = -2D) m = 15, n = 5d
a ^20 = (a^n)^m
When we have a number raised to a power two time, we can multiply the powers;
(a^n)^m = a ^ (n x m)
So, since both sides have the same base:
a^20 = a^ (nxm)
20 = n x m
So, the product of n and m must be 20
A) -5 x -4 = 20
B) 10 x 10 =100
c) 22 x -2 =-44
d)15 x 5 = 75
The correct answer is A.
Given h(x)=5x-5, find h(2)
Answer:
5
Step-by-step explanation:
h(2)=5(2)-5
5 x 2 = 10
10 - 5 = 5
The value of the function h(x) = 5x - 5 at x = 2 will be 5.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
The function is given below.
h(x) = 5x - 5
Then the value of the function at x = 2 will be
h(2) = 5 (2) - 5
h(2) = 10 - 5
h(2) = 5
The value of the function h(x) = 5x - 5 at x = 2 will be 5.
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Daryl has been on a diet for 45 days and is of the way to the end of the diet program. How long is the program?
A
120 days
B
135 days
C
160 days
D
200 days
Answer:
135
Step-by-step explanation:
135/45 = 3
this was the only whole number i got
Which of the following systems of inequalities has point D as a solution?
Answer:
f(x) \(\leq\) 3x + 4
g(x) ≥ -1/2x - 5
Step-by-step explanation:
Point D is below f(x) and above g(x)
Helping in the name of Jesus.
From a standard deck of cards, your first draw is a black card. You replace the card, and the second draw is a diamond. Which THREE statements are correct for the outcome of the event? A) The probability of drawing the black card is 1/2 B) The probability of drawing the diamond is 1/4 C)The probability of the compound event is 1/6 D) The probability of the compound event is 1/8 E) The probability of the compound event is 3/4
PLEASS HHELPPPP
What is the change in temperature from 15°F to -8°F?
7°F
23°F
-23°F
-7°F
You are asked to lift something that is 15 kg. How many pounds is it? lbs
Answer:
33.0693394
Step-by-step explanation:
1 klio is 2.20462262,just mulipily by 15.
Help I need HELP FAST I give brainliest.
IGNORE THIS TEXT: Which graph shows this solution set? y is greater than negative 2 and y is less than or equal to 2Answer options with 5 optionsA.The graph shows a number line.Short description, The graph shows a number line.,Long description,A number line has negative 2 and positive 2. At negative 2 and positive 2, there are filled in circles. Between negative 2 and positive 2, the number line is shaded. B.The graph shows a number line.Short description, The graph shows a number line.,Long description,A number line has negative 2 and positive 2. At negative 2 and positive 2, there are open circles. Between negative 2 and positive 2, the number line is shaded. C.The graph shows a number line.Short description, The graph shows a number line.,Long description,A number line has negative 2 and positive 2. At negative 2, there is an open circle. At positive 2, there is a filled-in circle. Between negative 2 and positive 2, the number line is shaded. D.The graph shows a number line.Short description, The graph shows a number line.,Long description,A number line has negative 2 and positive 2. At negative 2, there is an open circle. At positive 2, there is a filled-in circle. The number line is shaded to the left of negative 2 and to the right of positive 2. E.The graph shows a number line.Short description, The graph shows a number line.,Long description,A number line has negative 2 and positive 2. At negative 2, there is filled in circle. At positive 2, there is an open circle. The number line is shaded to the left of negative 2 and to the right of positive 2.
Answer:
The answer choice would be C
What value of x makes x - 10 = -5 a true statement? a. -5 c. 5 b. 15 d. -15
Answer:
5
Step-by-step explanation:
hope it helps you and give me a brainliest
Answer:
5
Step-by-step explanation:
x - 10 = - 5
x = - 5 + 10
x = 5
Solve the following system of equations a2+b2 ; 3a2 -2ab-b2
The system has an infinite number of solutions, but the only solution is (a, b) = (0, 0).
The given system of equations can be solved using the substitution method. We can begin by solving the first equation,\(a^2 + b^2\), for either a or b. Let's solve for a:
\(a^2 + b^2 = 0\)
\(a^2 + b^2 = 0\)
\(a^2 = -b^2\)
\(a = \pm\sqrt(-b^2)\)
We can substitute this expression for a into the second equation, \(3a^2 - 2ab - b^2 = 0\), and simplify:
\(3(\pm\sqrt(-b^2))^2 - 2(\pm\sqrt(-b^2))b - b^2 = 0\)
\(3b^2 - 2b^2 - b^2 = 0\)
0 = 0
Since 0 = 0, this means that the system of equations has an infinite number of solutions. In other words, any values of a and b that satisfy the equation \(a^2 + b^2 = 0\) will also satisfy the equation \(3a^2 - 2ab - b^2 = 0\)
However, the equation \(a^2 + b^2 = 0\) only has a single solution, which is a = b = 0. Therefore, the solution to the system of equations is (a, b) = (0, 0).
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4. The market value of Jennifer and Neil's home is $319,000. The assessed value is $280,000.
The annual property tax rate is $19.70 per $1,000 of assessed value.
a. What is the property tax on their home?
b. How much do they pay monthly toward property taxes? Round to the nearest cent.
The house owned by Jennifer and Neil is worth $319,000 on the market. the $280,000 assessed value. $19.70 is paid in property taxes annually for every $1,000 of assessed value.
a. Their home's property tax is $5,516.
b. Their monthly property tax payment is $459.67.
a. The assessed value of the home is $280,000. To find the property tax on their home, we need to first calculate the assessed value in thousands of dollars by dividing by 1,000:
Assessed value in thousands of dollars = $280,000 / 1,000
Assessed value in thousands of dollars = $280
The tax rate is $19.70 per $1,000 of assessed value. To find the tax on their home, we can multiply the assessed value in thousands of dollars by the tax rate per $1,000:
Tax on home = $280 x $19.70
Tax on home = $5,516
Therefore, the property tax on their home is $5,516.
b. To find the monthly property tax payment, we can divide the annual property tax by 12:
Monthly property tax payment = $5,516 / 12
Monthly property tax payment = $459.67 (rounded to the nearest cent)
Therefore, Jennifer and Neil pay approximately $459.67 per month toward property taxes.
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HELP PLEASE!
The following inequalities form a system.
y is greater than or equal to two-thirds times x plus 2
y is less than negative one-third times x plus 1
Which ordered pair is included in the solution to this system?
(−6, −3)
(−6, −2)
(−6, 3)
(−6, 4)
The ordered pair which s included in the solution to this system of inequality y ≥ 2/3x + 2, y < - 1/3x + 1 is (-6, -2) and (-6, 3).
The correct answer option is option B and C
How to solve the system of inequality?y ≥ 2/3x + 2
y < - 1/3x + 1
Check all that applies:
(x, y) = (−6, −3)
(x, y) = (−6, −2)
(x, y) = (−6, 3)
(x, y) = (−6, 4)
It can be seen that x = -6Use this to find the value of yy ≥ 2/3x + 2
substitute x = -6 into the inequality
y ≥ 2/3(-6) + 2
y ≥ -12/3 + 2
y ≥ - 4 + 2
y ≥ - 2
(x, y) = (-6, -2)
y < - 1/3x + 1
substitute x = -6 into the inequality
y < -1/3(-6) + 1
y < 6/3 + 1
y < 2 + 1
y < 3
(x, y) = (-6, 3)
So therefore, the solution to the system of inequality is (-6, -2) and (-6, 3).
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10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve?
6 tables are required. Each prime number attender should serve 3 customers each.
The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
All the numbers other than prime numbers are composite numbers.
The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.
Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables
Therefore, 6 tables are required.
Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.
Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.
Thus, each prime number attender should serve 3 customers each.
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Estimate the sum of 379+409=
Answer:
Round both numbers to 1 significant figure.
400+400=800
800 is the answer.