lynne invested $35,000 into an account earning 4% annual interest compounded quarterly. she makes no other…

Explanation:

Step1: Identify compound - interest formula

The compound - interest formula is $A = P(1+\frac{r}{n})^{nt}$, where $P$ is the principal amount, $r$ is the annual interest rate (in decimal form), $n$ is the number of times interest is compounded per year, and $t$ is the number of years.

Step2: Convert values to appropriate form

Given $P=$35000$, $r = 0.04$ (since $4%=0.04$), $n = 4$ (compounded quarterly), and $t = 5$ years.

Step3: Substitute values into formula

$A=35000(1 +\frac{0.04}{4})^{4\times5}=35000(1 + 0.01)^{20}$.

Step4: Calculate the value inside the parentheses

$(1 + 0.01)^{20}=1.01^{20}$. Using a calculator, $1.01^{20}\approx1.220190$.

Step5: Calculate the final amount

$A = 35000\times1.220190\approx42706.65$.

Answer:

$42,706.65$