Henry decides to start an investment savings account. He initially deposits $500 dollars to the bank. Every year, Henry's bank account increases by 15%. Assume x represents the number of years and y is the amount of money in the bank. Which function models this situation below?

Answers

Answer 1

Answer:

[tex]y= 500(1+0.15)^x[/tex]

Step-by-step explanation:

This problem can be solved using concept of compound interest

In compound interest

if p is the principal amount

and r is the interest rate

then value of principal amount(A) after n years time is given by

A = p(1+r)^n

=>[tex]A = p(1+r)^n[/tex]

__________________________________

in the problem

in place of n we have x years

y is the amount which is the total amount after n years

p is the principal money deposited = $500

r = 15%

substituting these value in the formula for amount after n years we have

[tex]y= 500(1+15/100)^x\\y= 500(1+0.15)^x[/tex]

Thus, function modeling the situation is [tex]y= 500(1+0.15)^x[/tex]


Related Questions

-1 1/8 - 5/8 answer plz

Answers

Answer:

-1 6/8

Step-by-step explanation:

Answer:

-2 answer this is 100% correct

Step-by-step explanation:

Question 19 / 50
In a class of forty students, one fifth of the students also play on the school's
football team. If four more students from the class join the football team, what
percentage of students in the class will be on the football team?
25%
30%
0 33%
O 35%
40%
Submit Answer

Answers

Answer: 30%

Step-by-step explanation:

1/5th of students = 1/5 x 40 = 8

If 4 more students join, they will be (8+4) 12 students

Percentage will be 12/40 x 100 = 30%

Rewrite the fraction in the sentence below as a percentage. Of the markets in a certain city, 7/10 offered customers a salad bar in 1998 .

Answers

Answer:

shawty a lil baddie

Step-by-step explanation:

i like ur mom bro

The percentage of salad bars offered to customers in 1998 is; 70%.

What is the percentage?

The percentage refers to the value of a variable contained in a whole number.

The percentage is the ratio that a variable is contained in another.

Percentages, which are over 100, are depicted using the percentage sign (%).

Data and Calculations:

We are Given that Of the markets in a certain city, 7/10 offered customers a salad bar in 1998 .

7/10 salad bars were offered to customers,

The conversion to percentage = 70% (7/10 x 100)

Thus, the percentage of salad bars offered to customers in 1998 would be equal to 70%.

Learn more about percentages at ;

brainly.com/question/24304697

#SPJ2

Can anybody help me.

Answers

Answer:

1st one

Step-by-step explanation:

Work out the percentage change to 2 decimal places when a price of £189 is decreased to £150.

Answers

Answer:

The percentage change is -21%

Step-by-step explanation:

The percentage change can be expressed by the formula;

(new price -old price)/old price * 100%

New price = £150

old price = £189

Inputing these values in the formula, we have;

(150-189)/189 * 100%

-39/189 * 100%

= -20.63% and that is approximately -21%

Please answer correctly !!!!!! Will mark brainliest Answer !!!!!!!!!!!

Answers

Answer:

45 meters

Step-by-step explanation:

graph the equation and find the y-intercept

A number cube labeled 1 through 6 is rolled. Find the probability that the cube lands on a number less than 5

Answers

Answer:

2/3

Step-by-step explanation:

The number cube has 6 faces labelled 1 - 6.

There are 4 numbers less than 5 (1, 2, 3, 4).

Therefore, the probability that the cube lands on a number less than 5 is:

4/6 = 2/3

what is the scale factor of polygon qrstu to poligon defgh

Answers

Answer:

A

Step-by-step explanation:

Since the two polygons are similar, corresponding sides will have a constant ratio. So, the ratio between ST and FG will be the same as the scale factor between the two shapes.

[tex]\dfrac{FG}{ST}=\dfrac{15}{36}=\dfrac{5}{12}[/tex]

Therefore, the correct answer is choice A. Hope this helps!

Pedro walks his dog around Ray D. Hall Park. Jessica walks her dog around Rex Tangle Park. Pedro contends that he walks his dog a longer distance than Jessica walks her dog. Jessica contends the opposite. To settle their debate, they find satellite images of both parks and juxtapose them on a single coordinate grid (shown below). The perimeter of Ray D. Hall Park is \text{m}mstart text, m, end text. Round the final answer to the nearest meter. Do not round intermediate calculations. The perimeter of Rex Tangle Park is \text{m}mstart text, m, end text. Round the final answer to the nearest meter. Do not round intermediate calculations. Who should win the debate?

Answers

Answer:

the perimeter of Ray D. Hall park is 377 m

and the perimeter of Rex Tangle park is 400 m

and Jessica's walk is longer.

Step-by-step explanation:

PLS HELP will give brainliest
If a graph is symmetric with respect to the​ x-axis, then it cannot be symmetric with respect to the​ y-axis.
A. FALSE
B. TRUE

Answers

Answer:

False, it could be.

The answer to this question is true

Please answer correctly !!!!!!!!! Will mark brainliest answer !!!!!!!!!!!

Answers

Answer:

w = -5x^2+20x+160/x

Step-by-step explanation:

Divide both sides by x and since you can't divide -5(x-8)(x+4) by x, it becomes a fraction resulting the answer to be w = -5x^2+20x+160/x.

I may be wrong, it's been a while since I solved these types

MY FINAL QUESTION WILL FOREVER BE GRATEFUL PLS HELP WILL GIVE BRANLIEST!! AT LEAST TAKE A LOOK!!!! PLS I AM BEGGING!!!

17. Write an informal proof to show triangles ABC and DEF are similar.

IF YOU LOOK CLOSE YOU CAN SEE THE NUMBERS AND LETTERS FOR THE SHAPE,!!

Answers

The smaller triangle is DEF which has sides

DF = 1DE = 2EF = 3

The larger triangle ABC has side lengths of

AC = 2AB = 4BC = 6

Note how the sequence 2,4,6 is exactly double that of 1,2,3. Therefore, the sides of triangle ABC are twice as large as the corresponding sides of triangle DEF.

Put another way, computing the ratios of the corresponding sides all lead to the same value, so we have BC/EF = 6/3 = 2, and we have  AB/DE = 4/2 = 2, and finally AC/DF = 2/1 = 2. These three equations all confirm ABC is twice as large as DEF.

By the SSS (side side side) similarity theorem, we can conclude the triangles are similar. They have the same shape, but different size.

(08.02)Using the following data, calculate the mean absolute deviation:
10, 7, 1, 6, 7, 9, 8, 10, 2, 5
What is the mean absolute deviation for these data?

Answers

Answer:

7

Step-by-step explanation:

10+7+1+6+7+9+8+10+2+5

-----------------------------------

10

65 ÷ 10

= 6.5, round up, = 7

Answer:

I took the quiz and the answer is 7

Step-by-step explanation:

Find the slope of the line will make brainiest
y= -3x +1


Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

-3

Step-by-step explanation:

if ay=bx+c , then the slope is b/a

I have 1*y=-3*x+1, the slope is -3/1=-3

Or

the slope is y2-y1/x2-x1

if x1=1 ,y1= -3*1+1=-3+1=-2

  x2=2, y2=-3*2+1=-6+1=-5

the slope is (y2-y1)/(x2-x1)=(-5+2)/1=-3

It’s the math question please help

Answers

Answer:

-22, 4, -27, 2

Step-by-step explanation:

-10 + (-12) = -10 - 12 = -22

-3 + 7 = 4

-11 - 16 = -27

-13 - (-15) = -13 + 15 = 2

Answer:

-22 4 -27 2

Step-by-step explanation:

-10 + (-12) = -22

-3 + 7 = 4

-11 - 16 = -27

-13 -(-15) = 2

10x + 8 = 3(x - 2)
10x + 8 = 3x

Answers

Answer:

1) -2

2) 8/7

Step-by-step explanation:

1) 10x+8=3(x-2)

  10x+8=3x-6

  10x-3x=-6-8

  7x=-14

  x=-2

2) 10x+8=3x

   10x-3x=8

   7x=8

   x=8/7

Hope it helps

I really need help please :(

Answers

Answer:

0≤y≤5

Step-by-step explanation:

The range is the values of the output, or in this case the y values

The y values go from 0 to 5

0≤y≤5

The answer is C.

You can see visually that the function's domain lies within range from -5 to 5 on the x axis.

Devin walked 4.5 miles. There are approximately 1.6 kilometers in 1 mile.
How many kilometers did Devin walk, rounded to the nearest tenth?

Answers

Answer:

Approximately 7.2 kilometers

Step-by-step explanation:

4.5(miles walked)*1.6(kilometers in mile)=7.2(kilometers in 4.5 miles)

Answer:

7.2 kilometres

Step-by-step explanation:

4.5 * 1.6

What is the solution to the following equation? 4(3x − 11) + 23 = 5x − 14 a 0 b 1 c 10 d 14

Answers

Answer:

b 1

Step-by-step explanation:

i think of a number, take away 1 and multiply it by 3

Answers

Answer:

X-3, not sure. Try that.

Answer:

[tex]3(x - 1)[/tex]

Step-by-step explanation:

Thinked number = x

take away = -1

[tex]x - 1[/tex]

multiply it by 3

[tex]3(x - 1)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Find the greatest common factor of 30 and 75.

Answers

Answer:

15

Step-by-step explanation:

prime factorization of 30 is 2*3*5

prime factorization of 75 is 3*5*5

3*5 is common

20 points for who ever get it right someone who knows what they doing please

Answers

Answer:

F is greater than 25

F is positive

Step-by-step explanation:

You know that F must be positive, since a number is subtracted from it and then another number is multiplied by that difference. Since a positive number multiplied by a negative number is negative, F must be positive.

You also know that F is greater than 25, because a number is subtracted from it and it is multiplied by a fraction between 0 and 1, meaning that that difference is further reduced.

Hope this helps!

Which of the following best describes the type of probability used in the
scenario below?
Rhea randomly drew a marble out of a bag of marbles, then put it back. She did this 21 times. Of the 21 times, she drew a yellow marble 7 times. She concluded that the probability of drawing a yellow marble was 1/3

A. Theoretical
B. Random
C. Unpredictable
D. Empirical

Answers

Awnser is C. Random cuz thats how i chose this answer... its was random

Pls help me ASAP! Thanks a lot!

Answers

Hey! I’m pretty sure it’s B) 8

Answer:

E) 32

Step-by-step explanation:

Square sheet of paper is folded 4 times into half.

Holes in the paper = 2(4)(4)

= 32 Holes

P.S. Also did it practically

Three consecutive integers have a sum of 45. Find the integers.

Answers

Answer:

14,15,16

Step-by-step explanation:

14+15=29

add up 29 + 16 = 45

Match each logarithm to its value

Answers

Answer:

D

C

B

A

Step-by-step explanation:

In the picture ⬆️

Llllllllllllllllllllll

Letters w, x, y, and z are angle measures. Lines r and s are intersected by line m. At the intersection of lines m and r, clockwise from the top, the angles are w, x, blank, blank. At the intersection of lines m and x, clockwise from the top, the angles are: 92 degrees, y, z, blank. Which should equal 92° to prove that r ∥ s? w x y z

Answers

Answer: Angle w and angle z should equal 92° to prove that r║s

Step-by-step explanation: Let us start by constructing the lines r and s, and then draw a transversal to intersect both lines as stated in the question. At the intersection of lines m and r, we have clockwise from the top angles w, x and the other two blank. This is as shown in the picture attached.

Also at the intersection of lines m and s, clockwise from the top, the angles are 92, y, z and a blank. This is also clearly marked in the picture attached.

If the two lines r and s are parallel, then it means;

(1) Angle 92 is equal to angle z (opposite angles are equal)

(2) Angle z is equal to the blank underneath angle x (corresponding angles on two parallel lines are equal)

(3) Angle 92 is equal to the blank underneath angle x (alternate angles on two parallel lines are equal)

(4) Angle 92 is equal to angle w (corresponding angles on two parallel lines are equal)

Therefore, of all four angles marked as w, x, y and z angles w and z should equal 92° to prove that line r is parallel to line s.

Answer:

Its W i took the test and got a 100

A swimming pool has length of 100 meters a width of 25 meters and depth of 4 meters throughout the whole pool . How much water can fill the pool?

Answers

Answer:

100 x 25 x 4 = 10000[tex]m^{3}[/tex]

Step-by-step explanation:

The temperature increased from (-3) degrees to (+12) degrees on Friday what was the temperature change over the course of the day

Answers

Answer:

+15 degrees

Step-by-step explanation:

-3

-2

-1

0

1

2

3

4

5

6

7

8

9

10

11

12

What is the simplified form of each expression? a. (6 + 3)2 − 4 b. 23 + (14 − 4) ÷ 2

Answers

Answer:

a. 14

b. 28

Step-by-step explanation:

a. ex: (6+3)2 - 4 = 9(2) - 4

18 - 4 = 14

b. ex: 23 + (14 - 4) / 2

Use PEMDAS

P 1st

10

D over A

5

A

28

Hope this helps!

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