you deposit 100$ each month into an account earning 8% interest compounded monthly. How much will you have in the account in 15 years

Answers

Answer 1

use the exponential function of f(x)= 100x times (1.08)^2

Answer 2

You would have approximately $448.68 in the account after 15 years.

To calculate the amount in the account after 15 years, compounded monthly at 8% interest, you can use the formula for compound interest:A=P×(1+r/n)^ntWhere:

A is the future value of the investment,

P is the principal amount (initial deposit),

r is the annual interest rate (as a decimal),

n is the number of times interest is compounded per year, and

t is the time the money is invested for in years.

Here,

P=100,r=0.08,n=12 (compounded monthly), and t=15 years.

A=100×(1+0.08/12)^12×15

A=100×(1+0.08/12)^180

A=100×(1+120.08)^180

A=100×(1+0.08/12)^180

A≈100×(1.00666667)^180

A≈100×4.48678

A≈448.678

Complete question:

you deposit 100$ each month into an account earning 8% interest compounded monthly. How much will you have in the account in 15 years?

Related Questions

Which function goes with this graph?

Answers

From the given points on the graph we can find which function represents this graph.

A point on the graph is (3, 1). This means if we substitute x = 3 the answer must be 1.

The property of log is that [tex] log_{a}(a)=1[/tex]

This suggests, if the base of log is equal to the number for which we are finding the log, the answer must be 1.

So, in this case we have:

[tex]log_{a}(3)=1 [/tex]

Since the answer is 1, the base of log must be 3.

In the given options, only option 3rd is with base 3.

So, the correct answer is option 3.

Through music we can communicate more then what can be expressed with words alone
True or false

Answers

i believe it is true.

I believe it is true because music has many expressions. Like for example, a violin(that’s what I play) can be played that it is singing the songs. I believe music is such a important thing in life.

A population of bacteria is growing according to the exponential model P = Cekt, where P is the number of colonies and t is measured in hours. If there are 800 colonies present after 4 hours, and the population's growth rate k = 0.65, how many colonies were present initially? [Round answer to the nearest hundredth.]

Answers

Plugging our values into the equation, we have

[tex]800=Ce^{0.65(4)} \\ \\800=Ce^{2.6} \\\text{Dividing both sides by }e^{2.6} \\ \\\frac{800}{e^{2.6}}=C \\ \\59.42=C[/tex]The correct answer is 59.42.

which of the following functions is continuous between x=-3 and x=0? choices on attachment

Answers

When we say that a function is continuous between x = -3 and x = 0 it means that it exists for all values of x in between -3 and 0. Let's take a look at each choice individually:

A: f(x) = (-x + 1)/(x + 2)
Now we don't actually need to know what the graph of this function looks like to see which values it is continuous for, instead we should look at which values of x will make this function undefined - in this case that would be x = -2. The reasoning behind this is that a number divided by 0 would be undefined, so when we search for which value of x would make the denominator of the equation 0, we get:
x + 2 = 0
x = -2
Since x = -2 is within the interval [-3, 0] we cannot say the function is continuous over this interval

B: f(x) = -2/(x + 1)
Using the same method as above we get:
x + 1 = 0
x = -1
x = -1 is again within the interval [-3, 0] and so the function is not continuous within this interval

C: f(x) = 3x/(x - 2)
x - 2 = 0
x = 2
x = 2 is outside the interval of [-3, 0] and so the function is continuous within this interval and C is the correct answer.

Just for the sake of it however we can look at D as well:
D: f(x) = 1/(2x + 1)
2x + 1 = 0
x = -1/2
-1/2 is within [-3, 0] and so D is not continuous over this interval

A grocery store has three locations: Central, North, and South. The grocery store counted the number of cantaloupes sold at each of the three locations each day for a month. The table shows the mean and the mean absolute deviation of the number of cantaloupes sold each day. Which statements are correct? Select each correct answer.
The number of cantaloupes sold at North and South varied about the same amount.
The number of cantaloupes sold at Central varied less than did the number sold at North.
The number of cantaloupes sold at Central and South varied about the same amount.
The number of cantaloupes sold at Central varied more than did the number sold at South.
Store location Mean number of sales MAD Central 45 4.1 North 47 5.7 South 29 5.9

Answers

The correct option is The number of cantaloupes sold at Central varied less than did the number sold at North.

What is the mean absolute deviation?

The means absolute deviation is the average distance of each of the data points about the mean.

The below-given table shows the data of the three different stores.

Store location Mean number of sales MAD

Central 45 4.1

North 47 5.7

South 29 5.9

As we know that the mean absolute deviation shows as the average of the difference in the mean data that can occur. Therefore, it shows us the amount by which the data can deviate from its mean.

Now, if we look at the option, the only option that is correct about the given data is "The number of cantaloupes sold at Central varied less than did the number sold at North".

The statement holds true because the Mean absolute deviation for the store in the center is least, therefore, it varies the least from all the given options.

Hence, the correct option is The number of cantaloupes sold at Central varied less than did the number sold at North.

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HELP WITH THE CORRECT ANSWER

Answers

take 30% of all the numbers from colors and add up

10 points and brainliest to best answer
plz answer in this form
|
\/

top left:
top right:
bottom left:
bottom right:

Answers

Top Left: Rate of change is less than 1.
Top Right: Rate of change is greater than 1.
Bottom Left: Rate of change is less than 1.
Bottom Right: Rate of change is greater than 1.
Look at x. The number behind the variable is the rate of change.

Have a nice day! ♪

Left is less than 1 and right is greater than 1

I was sick the day that the class went over how to do this and I don’t know how to do it.

Answers

You first need to know the equation A=pi x r^2. The equation you need for this problem is pi (3.14) x 3^2

given f(x)=6x+2 and g(x)=x^3 what is f(x) x g(x)?

a. 6x^4+2
b. 8x^2
c. 6x^4+2x^3
d. 6x^3+2

Answers

The answer is C. You distribute the x^3 (or g(x)) to the 6x+2. x^3 * 6x = 6x^4 and x^3* 2 = 2x^3, giving you 6x^4 +2x^3

[tex](6x + 2) \times (x^{3}) = \\ {x}^{3} \times 6x \: + {x}^{3} \times 2 = \\ 6 {x}^{4} + 2 {x}^{3} [/tex]
Alternative C

A coach randomly sampled players from two different cities to determine the heights of the players. This table shows the results in inches.

City A 63 60 70 66 70 73 78 73 69 75
City B 67 73 75 73 69 78 76 74 72 74
Which conclusions can you draw about the heights of the players from the two cities?

Select each correct answer.

On average, the players in City A are a few inches taller than the players in City B.

On average, the players in City A are a few inches shorter than the players in City B.

On average, the players in the two cities are about the same height.

The heights of the players in City A are more variable than the heights of the players in City B.

The heights of the players in City A are less variable than the heights of the players in City B.

The heights of the players in the two cities vary by about the same amount.

Answers

to find average add the heights and divide by number, do this for both cities:
city A:
63 + 60 + 70 + 66 + 70 + 73 +78 + 73 + 69 + 75 = 697
697 / 10 = 69.7
shortest is 60, tallest is 78, difference = 78 -60 = 18

city b :
67+73+75+73+69+78+76+74+72+74 = 731
731 / 10 = 73.1
shortest is 67, tallest is 78, difference = 78-67 = 11

answers:
On average, the players in City A are a few inches shorter than the players in City B.

and

The heights of the players in City A are more variable than the heights of the players in City B.

Answer:

On average, the players in City A are a few inches shorter than the players in City B.

Step-by-step explanation:

i took the test hope this helps

you need to count all of the loaves of bread in the front area . there are 22 loaves of white bread, 17 loave of wheat bread, and 19 gourmet breads.what is the total number of loabes?

Answers

19+17=36
36-22=14
the answer is 14

this is a very simple problem if you need to know the amount of loaves of bread in the front area it is a simple addition problem 22+17+19=__ using the formula we find the answer is 58 loaves of bread

If BE = 2x-3 and AC=3x+1 Find Ac

Answers

The answer would be AC=22

Simplify the mathematical expression.

Answers

The answer would be 2 because you can reduce -5 1/2 to -11/2 and then when you multiply that by 4, you get -22. On the bottom, you can reduce -9 3/5 to -48/5. When you add -48/5 to -1.4 you get -11. Now your solved fraction would -22/-11 and -22 divided by -11 equals positive 2.

A cone has a volume of about 235.5 cubic centimeters. If the height is 9 centimeters what is the radius of the cone?

Answers

r≈5cm

hHeight: 9

VVolume: 235.5

Lori passes 80% of her tests. In the next week, Lori has 4 tests. She wants to determine the probability that she passes all 4 of the tests.

Which simulation design has an appropriate device and a correct trial?

A) Let Heads represent Lori passing a test and Tails represent Lori failing a test. Flip the coin four times.
B) Roll a die letting 1-5 represent Lori passing a test and 6 represent Lori failing a test. Roll the die four times.
C) Spin a spinner that is split up into 5 sections, where 4 sections are a success of passing a test. Spin the spinner four times.
D) Using a random digits table select one digit numbers where 0-8 is a passing grade and 9 is a failing grade. Select four digits.

Answers

Since Lori passes 80% of her tests you need to make sure that the randomizing device has 80% of the outcomes assigned to passing and 20% of the outcomes assigned to failing. The correct answer is Spin a spinner that is split up into 5 sections, where 4 sections are a success of passing a test. Spin the spinner four times.

Answer: C)

Step-by-step explanation:

What is the volume of the triangular prism ?

Answers

The volume of the rectangular pyramid is 640 cm³.

What is the volume of a pyramid?

The volume of a pyramid is [tex]\frac{1}{3} Ah[/tex] where A is the area of the base of the pyramid and h is the height.

Area of the base = area of a rectangle with dimensions 12cm*10cm

Area of the base =12*10 =120 cm²

Height of the pyramid =16cm

So, the volume of the pyramid = [tex]\frac{1}{3}*120*16[/tex] cm³

The volume of the pyramid =640 cm³

Hence, the volume of the rectangular pyramid is 640 cm³.

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Which is an equation of the given line in standard form?

A. -6x+5y=13
B. -6x+7y=-11
C. -6x+7y=11
D. -7x+6y=-11

Answers

The slope: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The coordinates of the points:
[tex](-3;\ -1)\to x_1=-3;\ y_1=-1;\ \left(\dfrac{1}{2};\ 2\right)\to x_2=\dfrac{1}{2};\ y_2=2[/tex]

Substitute: [tex]m=\dfrac{2-(-1)}{\frac{1}{2}-(-3)}=\dfrac{3}{3\frac{1}{2}}=\dfrac{3}{\frac{7}{2}}=3\cdot\dfrac{2}{7}=\dfrac{6}{7}[/tex]

We have: [tex]y=\dfrac{6}{7}x+b[/tex]

Substitute the coordinates of the point (-3; -1) to the equation of the line:

[tex]-1=\dfrac{6}{7}\cdot(-3)+b\\\\-1=-\dfrac{18}{7}+b\ \ \ |+\dfrac{18}{7}\\\\b=\dfrac{11}{7}[/tex]

Therefore we have:
[tex]y=\dfrac{6}{7}x+\dfrac{11}{7}\ \ \ |\cdot7\\\\7y=6x+11\ \ \ |-6x\\\\\boxed{-6x+7y=11}[/tex]

Answer: C. -6x + 7y = 11

13 percent of what is 78

Answers

13% of what is 78

"what" is the unknown, so use x for what.
"of" in math usually means a multiplication.
"is" means "="

13% * x = 78

0.13x = 78

x = 78/0.13

x = 600

Answer: the number is 600

i think the answer is 600

A college entry exam has 38 questions worth 200 points. The test consists of multiple-choice questions, x, worth 4 points each and essay questions, y, worth 10 points each. Which system of equations can be solved to find the number of multiple-choice questions on the test?

Answers

A system of equations is a set of equations to be solved by elimination or substitution.

There are no options listed in the question to choose from, but the equations should look like the following:

x= # multiple choice questions
y= # essay questions

QUANTITY EQUATION:
x + y= 38

VALUE EQUATION:
4x + 10y= 200

If we solved these two equations by elimination or substitution, we would find the number of multiple choice (x) and the number of essay (y) questions on the test.

ANSWER: x + y= 38; 4x + 10y= 200

Hope this helps! :)

Answer:

Let's use the variables x and y to represent the number of multiple-choice and essay questions on the test, respectively.

The total number of questions is 38, so we can write:

x + y = 38

The total number of points is 200, so we can write:

4x + 10y = 200

This gives us a system of equations:

x + y = 38

4x + 10y = 200

We can solve this system of equations to find the number of multiple-choice questions on the test.

Which statement best describes the effect of replacing the function f(x)=2^x-2 with the function g(x)=2^x+3

A.) The graph shifts 1 unit up

B.) The graph shifts 5 units left

C.) The graph shifts 1 unit right

D.) The graph shifts 3 units right

Answers

For this case we have the following functions:
f (x) = 2 ^ (x-2)
g (x) = 2 ^ (x + 3)
Horizontal translations
Suppose that h> 0
To graph y = f (x + h), move the graph of h units to the left.
We have then:
f (x + 5) = 2 ^ ((x + 5) -2)
g (x) = 2 ^ (x + 3)
Answer:
B.) The graph shifts 5 units left

Susan gets paid x dollars per hour. After 40 hours she gets paid time and a half (1.5 times her normal hourly pay). Last month she worked 52 hours each week and earned $696 each week. How much does Susan get paid per hour?

Answers

She gets paid $12 per hour.

Let x be the amount she gets paid per hour. Working 40 hours would then be represented by 40x.

Anything over 40 hours earns her 1.5 her normal rate, or 1.5x. Since she works 52 hours, this means 52-40=12 hours of overtime at 1.5x:
12(1.5x) = 18x

Together, she earned 696:
40x+18x = 696

Combining like terms,
58x = 696

Divide both sides by 58:
58x/58 = 696/58
x = 12

ANSWER ASAP WILL MARK AS BRAINLEST
A point is selected at random inside the given figure. What is the probability the point will be in the region labeled B? Enter your answer, as a fraction in simplest form, in the box. P(B) = The figure is a rectangle that is made up of three rectangles and one square. The rectangles are labeled A, B, and D, and the square is labeled C. Rectangle A is in the upper left portion of the large rectangle. The left side of rectangle A is labeled 5 inches and it is part of the left side of the large rectangle. Rectangle B is in the lower left portion of the large rectangle below rectangle A. The lower side of rectangle B is labeled 3 inches and makes up a part of the lower side of the large rectangle. Rectangle D makes up the right side of the large rectangle and is to the right of rectangle A. The upper side of rectangle D is labeled 3 inches and makes up a part of the upper side of the large rectangle. The right side of rectangle D makes up the entire right side of the large rectangle. Square C lies below rectangle A and between rectangles B and D. The lower side of square C is labeled 4 inches and makes up part of the lower side of the big rectangle. The right side of square C is also labeled 4 inches.

Answers

P(B) = 2/15

The area of A is given by 5(7) = 35 in².
The area of B is given by 3(4) = 12 in²
The area of C is given by 4(4) = 16 in²
The area of D is given by 3(9) = 27 in²

The total area is given by 35+12+16+27 = 90 in²

The probability of B is given by 12/90 = 2/15.

You start a business making painted flower containers. You spend 300$ on paint and 5$ on each container. You charge 20$ for each container. How many containers do you have to sell to break even?

Answers

without paint, you're profiting $15 per container with the $5 original cost

300/15 = 20

This is right or wrong, please anyone

Answers

Wrong,

You added when you were supposed to divide.

24/30 = 0.8

I believe the answer should be 0.8

I hope that this is right and sorry if I'm wrong

A diner has a breakfast special. A customer can chose scrambled, fried, or poached eggs. The breakfast comes with a side of bacon, sausage, or fruit salad. The customer can choose coffee, tea, or milk. How many different combinations of eggs, side, and drink does a customer have to choose from?

Answers

3x3x3=27

So, there are 27 combinations.

Solution:

Number of ways the customer can choose eggs=3

Number of ways the customer can choose side=3

Number of ways the customer can choose drinks=3

So, total number of combinations for choosing eggs and side and drinks

=3(for eggs) and 3(for sides) and 3(for drinks)

=3 * 3 *3

=27

A customer has 27 combinations of eggs, side, and drink available.

Find the Distance, d, across the lake

Answers

The answer is 11.25 ft.
You have to use similar figures to work this out.
15 ft / 8 ft has to equal d ft / 6 ft
So, you divide 15 by 8, which equals 1.875
You then times 1.875 by 6 = 11.25

The Distance, d, across the lake is 26.25 feet.

Similar Triangles

When two triangles have all the corresponding angles equal to each other, then their sides are in a ratio.

Given to us,

AB = 8 feet,

BC = 15 feet,

BP = 6 feet,

PQ = d,

AP = AB + BP = 8 + 6 = 14 feet

In the figure, [tex]\triangle ABC \sim \triangle APQ[/tex]

[tex]\dfrac{BC}{AB}=\dfrac{PQ}{AP}[/tex]

[tex]\dfrac{15}{8}=\dfrac{d}{14}[/tex]

[tex]d = \dfrac{15\times 14}{8}[/tex]

[tex]d = 26.25[/tex]

Hence, the Distance, d, across the lake is 26.25 feet.

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the salomans offered to be in charge if drinks for the party. In addition to other beverages, they brought 4 bags of coffee that each held 2 1/2 pounds. When brewed, 1/4 pound coffee made 8 cups of coffee. the salomans brewed and served 296 cups of coffee. was any coffee left over? if so, how much coffee was left? show your work

Answers

Let b coffee bags, c cups and lb pounds of the coffee:

b= 2.5 lb

.25lb=8 c

2.5lb * 8c/.25lb= 80 c

4(80c)= 320 c

320c - 296c = 24 cups was left.

How much times does 30 go into 870

Answers

30 goes into 870 [tex]\frac{870}{30}=\boxed{29}[/tex] times.

It goes in 29 times.

Which of the following rules could represent the function shown in the table?
x y
-1 -1
0 1
1 3

A) f(x) = -2x
B) f(x) = 2x - 1
C) f(x) = 2x + 1

Answers

Not sure but I think 3

I believe its c because if u really sit back and work out the problem

OFFERING 15 POINTS... Please answer all... I need help..

1. Which set of rational numbers is arranged from least to greatest? (4 points)

−0.5, -1/5 , 1/9 , 1
1, 1/9 , −0.5, -1/5
1/9 , −0.5, 1, -1/5
-1/5 , 1, 1/9 , −0.5

2. What does negative 2/3 > −1 indicate about the positions of negative 2/3 and −1 on the number line? (4 points)

negative 2/3 is located to the right of −1
negative 2/3 is located on the left of −1
negative 2/3 is located on the right of 0, and −1 is located on the left of 0
negative 2/3 is located on the left of 0, and −1 is located on the right of 0

3. Which inequality best represents that ice cream at −3°C is cooler than ice cream at 1°C? (4 points)

−3°C > 1°C
−3°C < 1°C
1°C > 3°C
1°C < −3°C

Answers

1. −0.5, -1/5 , 1/9 , 1

2. negative 2/3 is located to the right of −1

3. −3°C < 1°C

_____
It might help your understanding to spend a little time looking at number lines with positive and negative numbers and fractions marked on them.

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