X = measure of each of the legs
"perimeter is 8 more than 2 times one of the legs" ---> P = 2x+8
P = 28 is the given perimeter

So,
P = 2x+8
28 = 2x+8
2x+8 = 28
2x = 20
x = 10

If x = 10, then the two legs add up to x+x = 10+10 = 20
Leaving P-20 = 28-20 = 8 inches left over for the base

You have the correct answer (choice D, 8 inches) though your steps are a bit confusing at some parts. Such as the part where you wrote 2x = 10 twice. I think I know what you were trying to say.

4 0

2 years ago

A credit card issuer offers an APR of 15.83% and compounds interest daily.

Romashka-Z-Leto [24]

Answer:

C. Its APR, because it's less than its effective interest rate.

Step-by-step explanation:

The interest rate determines the money you must pay on the outstanding balance on the credit card.

The credit card company would advertise the lowest numbers it could truthfully use.

The APR is 15.83 %.

The formula for the effective interest rate is

$i = \left (1 + \dfrac{r}{n} \right )^{n} - 1$

where the interest rates are expressed as decimals.

If the APR is 15.83% and the interest is compounded daily,

$\begin{array}{rcl}i & = & \left (1 + \dfrac{0.1583}{365} \right )^{365} -1\\\\ & = & (1 + 0.0004337)^{365} -1\\ & = & (1.0004337)^{365} -1\\ & = & 1.1715 - 1\\& = & 0.1715\\& = & 17.15 \%\\\end{array}\\\text{The effective interest rate is $\mathbf{17.15 \%}$}$

The APR is less than the effective interest rate, so that's what the company would advertise.

4 0

2 years ago