The future value of $200,000 if you can earn 5% on an annual basis for 5 years is $255,256.
To calculate the future value of a lump sum investment, the formula is:
FV = PV x (1 + r)ⁿ
where:
FV = future value
PV = present value (or lump sum invested)
r = annual interest rate
n = number of years
For this problem, the values are:
PV = $200,000
r = 5% = 0.05
n = 5
Using the formula:
FV = $200,000 x (1 + 0.05)⁵
FV = $200,000 x 1.2762815625
FV = $255,256.14
Therefore, the future value of $200,000 if you can earn 5% on an annual basis for 5 years is $255,256.14 (rounded to the nearest cent). Therefore, the correct option is $255256.
Learn more about future value here: https://brainly.com/question/30390035
#SPJ11
LOOKING FOR BRAINIEST?
Photo down below! Will give brainiest to first (and correct) answer!
x = ____
m
m
m
Answer:
x = 8
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180
13x - 8 + 7x + 4 + 3x = 180 , simplify left side
23x - 4 = 180 ( add 4 to both sides )
23x = 184 ( divide both sides by 23 )
x = 8
help me get this right.
Answer:
A. 5/2
Step-by-step explanation:
Can't be c or d since those are negative and b would have a much steeper slope rise over run is how you find side the two points connect by going up 5 and over 2
x-intercept of the line 3x+20y=–12.
Answer:x=-4
Step-by-step explanation
1. Set y as 0. Doing so will help you solve for x
3x +20(0)=-12 aka 3x=-12
2. Divide each sides by 3
3x(divided by three) = -12 (divided by three)
x=-4
(your answer would be negative because a negative divided by a postitive is negative.)
Find all values of the variable
x
for which the rational expression is undefined.
3x+20
/
x^2 + 14x + 48
The values of x for which the rational expression is undefined are -6 and -8.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a rational function:
\(\rm f(x) = \dfrac{3x+20}{x^2+14x+48}\)
As we know in the rational function denominator cannot be zero:
The values of x for which the rational expression is undefined.
x² + 14x + 48 = 0
\(\rm x_{1,\:2}=\dfrac{-14\pm \sqrt{14^2-4\cdot \:1\cdot \:48}}{2\cdot \:1}\)
\(\rm x_1=\dfrac{-14+2}{2\cdot \:1},\:x_2=\dfrac{-14-2}{2\cdot \:1}\)
x = -6, -8
Thus, the values of x for which the rational expression is undefined are -6 and -8.
Learn more about the function here:
brainly.com/question/5245372
#SPJ1
medidas de unidades de longitud
A hemisphere has a diameter of 10 inches. what is the surface area of the hemisphere
Step-by-step explanation:
surface area of hemisphere=2πr²
2×22/7×5×5157.14in²stay safe healthy and happy ..cory ships two paperback books. one weighs 3/8 pound and the other weighs 3/4 pound. which weight is greater than 1/2 pound?
The book that weighs 3/4 pounds is greater than 1/2 pounds.
To compare the weights of the two books with 1/2 pound, we need to convert 1/2 pound into a fraction with a common denominator as the given weights. The common denominator of 8 and 4 is 8. So, we can convert 1/2 pound to 4/8 pound.
Now we can compare the weights of the two books with 4/8 pounds. The weight of the first book is 3/8 pounds, which is less than 4/8 pounds. The weight of the second book is 3/4 pounds, which is greater than 4/8 pounds.
Therefore, the book that weighs 3/4 pounds is greater than 1/2 pound.
Learn more about weight
https://brainly.com/question/2335828
#SPJ4
A dial combination lock has dials numbered 0 to 5. The lock is set to an even number. How many different numbers could it be?
I need some help on this one, anyone know?
The number of combinations will be 6 for even numbers.
What is the combination?The arrangement of the different things or numbers in a number of ways is called the combination.
Given that:-
A dial combination lock has dials numbered 0 to 5. The lock is set to an even number. How many different numbers could it be?The total sample numbers are from 0 to 5 which are 0,1,2,3,4,5.
The even numbers are 0,2,4.
The combinations will be given by:-
C = 3!
C = 3 x 2 x1
C = 6
Therefore the number of combinations will be 6 for even numbers.
To know more about Combinations follow
https://brainly.com/question/295961
#SPJ1
Which statement is true for the numbers 2.5 and -2.5?
A.
On the horizontal number line, 2.5 and -2.5 are equal and are located on the same point.
B.
On the horizontal number line, -2.5 is located to the left of zero and 2.5 is located to the right of zero.
C.
On the horizontal number line, 2.5 and -2.5 are both located to the right of zero.
D.
On the horizontal number line, 2.5 is located to the left of zero and -2.5 is located to the right of zero.
Answer:
B. On the horizontal number line, -2.5 is located to the left of zero and 2.5 is located to the right of zero
B.
Hope this helps <33!
if johnny has 23 candy and casey have only 3 candy how many times of 3 candy do we need to add more to 23 and try it
We would need to add 8 more sets of 3 candies to 23 candies in order to have the same amount as Casey.
To find this, we can divide the total amount of candy Johnny has (23) by the amount of candy Casey has (3) and round up to the nearest whole number:
(23) / (3) = 7.666...
Since we can't have a fraction of a set of candies, we must round up to the nearest whole number, which is 8.
So, to have the same amount of candy as Casey, we would need to add 8 more sets of 3 candies to Johnny's 23 candies.
For more questions like Candies click the link below:
https://brainly.com/question/14900892
#SPJ4
Write the first four multiples of each number.
1. 3
2. 4
3. 8
4. 15
Answer:
3, 6, 9, 12
4, 8, 12, 16
8, 16, 24, 32
15, 30, 45, 60
Step-by-step explanation:
multiply each number by itself
If a is a nonnegative real number and n is a positive integer, then a^1/n=n_/¯a
A. True
B. False
Statement "a is a nonnegative real number and n is a positive integer" is true.
What is an Integer?Integers include all whole numbers and negative numbers. This means if we include negative numbers along with whole numbers, we form a set of integers.
Given that, a is a nonnegative real number and n is a positive integer.
\(a^{\frac{1}{n} }=\sqrt[n]{a}\)
Notice that in both cases when we elevated to the n-th power, we got the same thing, then these are equivalent, then:
\((a^{\frac{1}{n} })^n=a\)
Therefore, the given statement is true.
To learn more about an integers visit:
https://brainly.com/question/15276410.
#SPJ1
How do solve 2,125x365
Use a calculator to solve this problem!
Answer:
Step-by-step explanation:
775625 is the correct answer
You have access to pediatricians' records from a small practice in the Bronx for the last 10 years. They collect anonymous data on their patient every six months. Some of the data they collect are body measurements, immunizations records, instances of illness/injuries, and demographic characteristics. There are 150 boys and 140 girls in the practice. What kind of study is this?
There are 150 boys and 140 girls in the practice. Demographic characteristics could include age, race, ethnicity, gender, socioeconomic status, education, among others.
The study type is longitudinal, and some of the data collected include body measurements, immunizations records, instances of illness/injuries, and demographic characteristics (gender).
The kind of study it is when pediatricians' records from a small practice in the Bronx for the last 10 years are collected is a longitudinal study.
A longitudinal study involves collecting data from the same group of participants over an extended period, and this is what the pediatricians have done here.
They have collected anonymous data on their patients every six months for the last ten years.
In the process of collecting data, some of the data collected are body measurements, immunizations records, instances of illness/injuries, and demographic characteristics.
There are 150 boys and 140 girls in the practice. Demographic characteristics could include age, race, ethnicity, gender, socioeconomic status, education, among others. In this case, the demographic characteristic is gender.
Lastly, instances of illness/injuries could include data on the frequency of diseases or injuries treated among the children over the years.
to know more about pediatricians, visit
https://brainly.com/question/21666671
#SPJ11
*will give brainliest* Check all that apply
Answer:
a, c, e
Step-by-step explanation:
Answer:
C and E
Step-by-step explanation:
The graph's range is only between and including 0 and 1.
C and E are the only options between this range
When distribution is shown as a symmetrical bell-shaped curve, what can be concluded about the data?
a. The mean, median, and mode are equal.
b. The mean is less than the median and mode.
c. The data shows moderate uniformity.
d. The mean is greater than the median and mode.
When a distribution is shown as a symmetrical bell-shaped curve then the mean, median, and mode are equal i.e., option (a) is correct.
A symmetrical bell-shaped curve, also known as a normal distribution or Gaussian distribution, is characterized by its symmetry around the mean.
In this type of distribution, the mean, median, and mode all coincide at the center of the curve.
This means that the central tendency measures, such as the mean (average), median (middle value), and mode (most frequent value), are all equal.
Option (a) states that the mean, median, and mode are equal, which aligns with the properties of a symmetrical bell-shaped curve. This equality occurs because the data is evenly distributed on both sides of the mean, resulting in a balanced distribution.
Options (b) and (d) suggest that the mean is either less than or greater than the median and mode, which does not hold true for a symmetrical distribution.
In a symmetrical distribution, the mean is located at the center of the data, and the median and mode share the same value as the mean.
Option (c) mentions moderate uniformity, but a symmetrical bell-shaped curve does not specifically indicate uniformity. Uniformity refers to a distribution where all data points have equal probability, resulting in a flat line.
In contrast, a symmetrical bell-shaped curve indicates a normal distribution with the majority of data concentrated around the mean, gradually decreasing towards the tails.
Therefore, based on the given options, option (a) is the correct conclusion when the distribution is shown as a symmetrical bell-shaped curve.
Learn more about Gaussian distribution here:
https://brainly.com/question/29734279
#SPJ11
Consider the following small open economy: с = 200+ 0.69Y I = 80 - 1,000r G = 20 NX = 850.09Ye e = 90 M = 115 YL = 0.5Y - 200r Y = 300 C is consumption spending, I is investment spending, r is the interest rate, G is govern- ment spending, NX is net exports, e is the nominal exchange rate, M is money supply, YL is demand for money, and Y is long-run output. In this economy, the interest rate does not deviate from the foreign interest rate. The price level is fixed and set to one. Note that, in this problem, a decrease in e is synonymous with a depreciation of the nominal exchange rate. 1. Assuming that the economy is in equilibrium, find the value of the interest rate. (6 points) 2. Going from the equilibrium found in Question (1), assuming fixed nominal exchange rates, what is the effect on domestic output if the foreign interest rate increases by 0.05? (6 points) (a) What is the size of the nominal money supply in the new short run equilibrium? (6 points) 3. Going from the equilibrium found in Question (1), assuming flexible exchange rates, what is the effect on domestic output if the foreign interest rate increases by 0.05? (6 points) (a) What is the value of the real exchange rate in the new equilibrium? (6 points)
The interest rate is 10.89%
1. Given,С = 200+ 0.69YI = 80 - 1,000rG = 20NX = 850.09ee = 90M = 115YL = 0.5Y - 200rY = 300Using the equation for National Saving, we get,National Saving = Investment + Government Saving + Net exports(S – I) + (T – G) + (X – M) = 0T = 0, hence (S – I) + (X – M) = 0(1 – t)Y – C – (I + G) + NX = 0Where t = 0, we get,0.5Y – 200r – 200 – 69/100Y + 80 – 850.09e = 0.5Y – 200r – 970.09e – 120 = 0.5Y – 200r – 970.09e – 120 = 0Therefore, Y = 325.0454 - 0.5r + 4.851eThis is the equation for the IS curve.On the other hand, the equation for the LM curve is given by,Ms / P = YL(i)115 / 1 = 0.5Y - 200rTherefore, Y = 400 + 400rThis is the equation for the LM curve.The interest rate is given by the point of intersection of the two curves. Equating Y from both equations, we get,325.0454 - 0.5r + 4.851e = 400 + 400rSolving the above equation for r, we get r = 0.1089 or 10.89%..
The size of the nominal money supply in the new short-run equilibrium is 121.07.
2. From the equilibrium found in Question (1), if the foreign interest rate increases by 0.05, the domestic output will change in two ways, depending on the flexibility of the nominal exchange rate.Flexible Exchange Rates:In this case, the nominal exchange rate will depreciate (e decreases). This will increase net exports and shift the IS curve to the right. The new equilibrium will be at a higher level of output.Real exchange rate will fall.Increase in output will be higher compared to the fixed exchange rate case.Fixed Exchange Rates:In this case, the nominal exchange rate will remain constant. Therefore, there will be no effect on net exports.IS curve will not shift.Real exchange rate will remain unchanged.Increase in output will be less compared to the flexible exchange rate case.The nominal money supply in the new short-run equilibrium will change in the case of Fixed Exchange Rates. In the fixed exchange rate case, the domestic interest rate will increase, leading to an inflow of capital. This will increase the money supply and the LM curve will shift downwards until it intersects the IS curve at the new equilibrium point.
Real exchange rate will remain unchanged.
3. From the equilibrium found in Question (1), if the foreign interest rate increases by 0.05, the domestic output will change in two ways, depending on the flexibility of the nominal exchange rate. Flexible Exchange Rates :In this case, the nominal exchange rate will depreciate (e decreases). This will increase net exports and shift the IS curve to the right. The new equilibrium will be at a higher level of output .Real exchange rate will fall. Value of the real exchange rate in the new equilibrium is 0.891.Fixed Exchange Rates: In this case, the nominal exchange rate will remain constant. Therefore, there will be no effect on net exports.IS curve will not shift.
Know more about interest rate here:
https://brainly.com/question/28236069
#SPJ11
Is this the answer to this question i need help
Answer:
No, A is
Step-by-step explanation:
You can tell by plugging in the numbers. 0 - 3(0) < 1 as 0 < 1.
============================================================
Explanation:
Let's check if choice C is the answer or not
We will plug in x = -2 and y = 1 into the inequality to get
y - 3x < 1
1 - 3(-2) < 1
1 + 6 < 1
7 < 1
That's a false statement since 7 is not smaller than 1. This means the first inequality is false when (x,y) = (-2,1). So we can rule out choice C. Choices B and D are similar stories.
---------------
It turns out that choice A is the answer because
y - 3x < 1
0 - 3(0) < 1
0 - 0 < 1
0 < 1
Which is a true statement. So (x,y) = (0,0) is one solution to this inequality.
I'll let you check the other answer choices. You should find them to be false
a data analyst is working with a dataset in r that has more than 50,000 observations. why might they choose to use a tibble instead of the standard data frame? select all that apply.
The correct answer is Option A i.e; Tibbles automatically only preview as many columns as fit on screen.
Given that,
Working with a dataset in R that has more than 50,000 observations is a data analyst.
To find : Why might they choose to use a tibble instead of the standard data frame
Printing in R is made simpler using tibbles. They are automatically configured to only display the first 10 rows and as many columns as fit on the screen, preventing them from unintentionally overburdening the data analyst's interface.
Therefore, the right response is Option A, which states that Tibbles only previews the number of columns that fit on the screen.
To learn more about dataset click here:
brainly.com/question/24058780
#SPJ4
(See pic!)The area of a rectangle is 3 3/4
Answer:
Width = \(\frac{3}{4}\) units
Perimeter = 11 \(\frac{1}{2}\) units
Step-by-step explanation:
Area can be found with;
A = L * W
We will plug in the known values and solve.
A = L * W
3 \(\frac{3}{4}\) = 5 * W
(3 \(\frac{3}{4}\) ) / 5 = (5 * W) / 5
(3 \(\frac{3}{4}\) ) / 5 = W
\(\frac{3}{4}\) units = W
Perimeter can be found with;
P = 2L + 2W
We will plug in the known values and solve.
P = 2L + 2W
P = 2(5) + 2(\(\frac{3}{4}\))
P = 10 + 1 \(\frac{1}{2}\)
P = 11 \(\frac{1}{2}\) units
What is the value of l 3 l?
Answer:
3
Step-by-step explanation:
the p-value is less than the significance level. (a) we have a type i error (b) we have a type ii error (c) we may have a type i error (d) we may have a type ii error
If the p-value less than the significance level then we have a type i error.
We know that if your P-value is less than the chosen significance level then you reject the null hypothesis i,e. accept that your sample gives reasonable evidence to support the alternative hypothesis.
Im statistics, a type i error means rejecting the null hypothesis when it's actually true, while type ii error means failing to reject the null hypothesis when it's actually false.
The chance that you commit type i errors is known as the type i error rate or significance level (p-value). This number is conventionally and arbitrarily set to o.o5 or 5%. Type ii errors are like "false negatives", an incorrect rejection that a variation in a test has made no statistically significant difference.
The probability of making a type i error is represented by alpha level, which is the p-value below which you reject the null hypothesis.
To know more about type i error here
https://brainly.com/question/15106854
#SPJ4
Solve for x in the triangle. Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
label sides adjacent h and o
sin(30) times 12 = 6 = 10
The variance of a group of scores is 9. What is the standard deviation? a) 3 b) 4.5 c) 81
The standard deviation is the square root of the variance. Therefore, in this case, the standard deviation is the square root of 9, which is equal to 3. So the answer is a) 3.
The standard deviation is a statistical measure of how far a set of data values deviates from the mean (average) of the data set. It assesses how dispersed the data is in relation to the mean. In other words, it informs us how far the individual data points depart from the data set's average. A large standard deviation implies that the data is widely dispersed from the mean, whereas a small standard deviation suggests that the data is tightly grouped around the mean. Standard deviation is symbolised by the symbol σ for the population and s for a sample. It is widely used to analyze and understand data in a variety of domains, including finance, economics, physics, biology, and social sciences.
For such more question on standard deviation:
https://brainly.com/question/18648874
#SPJ4
Which of the following equations has the same solution as m - (-62) = 45?
1.) 25 - x = 8
2.) 120 + x = 13
3.) 120 - x = 13
4.) x + 25 = 8
Answer:
Step-by-step explanation:
m + 62 = 45
m = -17
x + 25 = 8
x = -17
1 2/3*J=15 What is J?
Answer:
Do you mean:
(1+(2/3))j = 15
((3/3)+(2/3))j = 15
((3+2)/3)j = 15
(5/3)j = 15
j = 15 / (5/3)
j = 15 * (3/5)
j = 9
Step-by-step explanation:
Answer:
daddy chill
Step-by-step explanation:
oooga boooga
order 130 inches, 4 yards, 10 feet from greatest to least
Answer:
Step-by-step explanation:
Before comparison can take place, these three measurements must be expressed in the same unit of measurement:
130 inches becomes 130/12 feet, or 10.83 ft;
4 yards becomes 4*3 feet, or 12 feet; qne
10 feet stays as is.
It becomes obvious that the greatest measurement is 12 feet, followed by 10.83 feet, followed by 10 feet.
The ordered list from greatest to least is 4 yards, 130 inches, 10 feet.
What is Unit of Measurement ?A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.
First, we need to convert all the units to a common unit before we can compare them.
Let's convert them all to inches:
4 yards = 12 feet × 4 = 48 feet = 48× 12 inches = 576 inches
10 feet = 10 × 12 inches = 120 inches
Now we have: 130 inches, 576 inches, 120 inches
Ordering from greatest to least, we get:
576 inches, 130 inches, 120 inches
4 yards, 130 inches, 10 feet
Therefore, the ordered list from greatest to least is 4 yards, 130 inches, 10 feet.
To learn more on Unit of Measurement click:
https://brainly.com/question/15402847
#SPJ2
Find the divergence of the radial field \( F=5 x i+5 y j \) shown to the right. The divergence is (Simplify your answer.)
The divergence of the radial field F = 5xi + 5yjF=5xi+5yj is 2.
The divergence of a vector field measures the rate at which the field's vectors are either converging or diverging at a given point. Mathematically, it is defined as the dot product of the gradient operator and the vector field.
In this case, the radial field F = 5xi + 5yjF=5xi+5yj is a two-dimensional vector field with components along the x and y axes. To find the divergence, we apply the divergence operator (∇ · F) to the field.
Using the formula for the divergence in Cartesian coordinates, we have:
∇ · F = (∂/∂x)(5x) + (∂/∂y)(5y)
Differentiating the x-component with respect to x yields 5, while differentiating the y-component with respect to y also gives 5. All other partial derivatives evaluate to zero since there are no cross-terms. Therefore, the divergence simplifies to:
∇ · F = 5 + 5 = 10
However, this is not the final answer since we need to simplify it. As the question requests us to simplify the answer, we can observe that the x and y components of the field are equal. Since the divergence is the sum of these components, we can conclude that the divergence of the given radial field is:
∇ · F = 2
Learn more about partial derivatives here:
https://brainly.com/question/32387059
#SPJ11
choose the best answer
Answer:
1.B
2.A
3.B
4.(not sure)
5. C
Step-by-step explanation:
Give brainliest please!
Hope this helped :)
Which diagonal (IE or KT) is the line of symmetry for kite KITE below? Explain.
Answer:
Step-by-step explanation:
KT because triangles KIT and KET are congruent ( mirror images).