Johann owes $9,889 on a credit card with a 23.5% interest rate. What is the monthly payment he should make to pay off this debt in 12 months, assuming he does not charge any more purchases with the card? (2 points) $824.08
$932.71
$206.30
$2,524.44

Option B: $932.71

Step-by-step explanation:

He owes $9,889 on a credit card with a 23.5% interest rate.

Thus;

Current balance; P = $9,889

Interest rate; r = 23.5% = 0.235

Number of compounding; n = 12

We will use the formula;

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

t is number of years = 1

Thus;

A = (9889 × 0.235/12)/(1 - (1 + (0.235/12))^(-12 × 1)

A = (9889 × 0.019583)/(1 - (1 + (0.235/12))^(-12))

A = $932.71

i leave the calculator work to you.

7. diameter 4 miles, circumference 4π miles

8. radius 0.2 miles, circumference 0.4π miles

[this is a bad problem because the actual radius of a car on the track is less than 0.2 miles so the answer is less than 0.4π miles]

9. radius 6 feet, circumference 12π feet

10. diameter 14 cm, circumference 14π cm

11. diameter 4.8 feet, circumference 4.8π feet

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,