Find the ending balance in an account that opens with $5,000, earns 7.5% interest compounded quarterly, and is held for 5 years.

5000(1+.075/4)^(5*4)

= 5000 * 1.0187520

To find the ending balance in the account, we can use the formula for compound interest:

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

Where:
A = Ending balance
P = Principal amount (initial balance)
r = Annual interest rate (in decimal form)
n = Number of times interest is compounded per year
t = Number of years

In this case:
P = $5,000
r = 7.5% = 0.075 (converted to decimal form)
n = 4 (compounded quarterly)
t = 5 years

Substituting these values into the formula, we get:

A = $5,000(1 + 0.075/4)^(4*5)

Now, let's solve it step by step:

Step 1: Calculate the value inside the parentheses:
(1 + 0.075/4) = 1.01875

Step 2: Calculate the exponent:
(4 * 5) = 20

Step 3: Calculate the value of A:
A = $5,000 * (1.01875)^20

Using a calculator, we find:

A ≈ $7,995.73

Therefore, the ending balance in the account after 5 years would be approximately $7,995.73.