Question

4. An investment account pays 4.6%

Answer 1

Answer:

Step-by-step explanation:

Use the formula

$A(t)=P(1+\frac{r}{n})^{(n)(t)}$

where A(t) is the amount after all the compounding is done, P is the initial investment, r is the interest rate as a decimal, n is the number of times the investment is compounded each year, and t is time in years.  For us,

P = 6050

r = .046

n = 4

t = 6

A(t) = ?

Filling in our given info:

$A(t)=6050(1+\frac{.046}{4})^{(4)(6)}$

which simplifies to

$A(t)=6050(1+.0115)^{24}$

which simplifies a bit more to

$A(t)=6050(1.0115)^{24}$ and

A(t) = 6050(1.31577397) so

A(t) = $7960.43

which is choice C