Please help!!

How much should Kim deposit (one time) in an account earning 1% per month (so r = 12% and k= 12)to
have a $5,000 down payment for her new car after 4 years?

If you could give a step by step that would be great!!

Step-by-step explanation:

Using this formula;

A = P(1 + rt)

A = Amount i.e. $5000

P = Principal or Initial payment

r = rate i.e. 12%

t = 4 years

5000 = P(1 + 0.12 × 4)

5000 = P(1 +0.48)

5000 = P(1.48)

P = 5000 / 1.48

= $3378.378

= $3378

Kim should deposit $3102

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

A = $5000

r = 12% = 12/100 = 0.12

n = 12 because it was compounded 12 times in a year.

t = 4 years

Therefore,

5000 = P(1+0.12/12)^12 × 4

5000 = P(1+0.01)^48

5000 = P(1.01)^48

5000 = 1.612P

P = 5000/1.612

P = $3102

the answer is:

the lateral area is equal to

to find the lateral area of the square pyramid, first we need to find the perimeter of the base, and then, find the lateral area using the following formulas:

where,

s, is the base length

slant height, is the height of a the side of the pyramid

we are given:

now, calculating the perimeter of the base, we have:

then, calculating the lateral area:

hence, we have that the lateral area is equal to

have a nice day!