$~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$500\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &3 \end{cases} \\\\\\ A=500\left(1+\frac{0.05}{1}\right)^{1\cdot 3}\implies A=500(1.05)^3\implies A\approx 578.81$

4 0

2 years ago

The product of three and a square number is twice the sum of the number and four

alex41 [277]

Write an equation, calling the number x:

3x=2(x+4)

3x=2x+8

x=8

However, 8 is not a perfect square, which was required in the problem, so there are no solutions.

5 0

3 years ago

Mary Ann and Abigail were shopping for prom shoes and wondered how the prices at Payless compared to the prices at Famous footwe

Komok [63]

Answer:

Step-by-step explanation:

how the prices at Payless compared to the prices

at Famous Footwear. At each store, they randomly

selected 30 pairs of shoes and recorded the price of

each pair. The table shows summary statistics for

the two samples of shoes.28

Store

Mean

Famous Footwear

$45.66

$16.54

Payless

$21.39 $7.47

Do these data provide convincing evidence at the

0.05 significance level that shoes cost less

, on

average, at Payless than at Famous Footwear?

a =

7 0

3 years ago