Question

Miranda deposits $100 into a savings account. she decides that she will make one deposit at the end of each month and that she will increase the amount that she deposits by 10% each month.
a. complete the table to show the amount of money miranda deposits at the end of each month for the first 4 months

Answer 1

Using an exponential function, it is found that the amounts deposited at the end of each month are given by:

• At the end of the first month, she deposits $110.

• At the end of the second month, she deposits $121.

• At the end of the third month, she deposits $133.1.

• At the end of the fourth month, she deposits $146.41.

What is an exponential function?

An increasing exponential function is modeled by:

$A(t) = A(0)(1 - r)^t$

In which:

• A(0) is the initial value.

• r is the growth rate, as a decimal.

In this problem, we have that A(0) = 100, r = 0.1, hence the equation for the amount deposited after t months is:

$A(t) = 100(1.1)^t$

Then, for each of the first four months:

• $A(1) = 100(1.1)^1 = 110$

• $A(2) = 100(1.1)^2 = 121$

• $A(3) = 100(1.1)^3 = 133.1$

• $A(4) = 100(1.1)^4 = 146.41$

More can be learned about exponential functions at brainly.com/question/25537936