Jeff has a balance of $2,513.77 on his credit card. He would like to pay off his card over the course of a year and a half by ma
king identical monthly payments. The APR on his card is 10.66%, compounded monthly. Assuming that Jeff makes no additional purchases with his card, how much will he have to pay every month to reach his goal? (Round all dollar values to the nearest cent.)
1 answer:
Answer:
$151.73
Step-by-step explanation:
No doubt you were given a formula for computing the payment in this situation. You have not provided it here, so we have chosen to use "technology" to find the payment value. A financial calculator or app, or a spreadsheet program can do this computation for you.
_____
We believe the applicable formula to be ...
A = P·(r/12)/(1 -(1 +r/12)^(-18)) . . . . . where r is the annual interest rate; P is the starting balance, and 18 is the number of months over which payments will occur.
Filling in P=2513.77 and r=0.1066, this expression evaluates to ...
A = 2513.77·(.1066/12)/(1 -(1+.1066/12)^-18) ≈ 151.73472 ≈ 151.73
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<u>Step-by-step explanation:</u>
transform the parent graph of f(x) = ln x into f(x) = - ln (x - 4) by shifting the parent graph 4 units to the right and reflecting over the x-axis
(???, 0): 0 = - ln (x - 4)
0 = ln (x - 4)
1 = x - 4
<u> +4 </u> <u> +4 </u>
5 = x
(5, 0)
(???, 1): 1 = - ln (x - 4)
1 = ln (x - 4)
e = x - 4
<u> +4 </u> <u> +4 </u>
e + 4 = x
6.72 = x
(6.72, 1)
Domain: x - 4 > 0
<u> +4 </u> <u>+4 </u>
x > 4
(4, ∞)
Vertical asymptotes: there are no vertical asymptotes for the parent function and the transformation did not alter that
No vertical asymptotes
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transform the parent graph of f(x) = 3ˣ into f(x) = - 3ˣ⁺⁵ by shifting the parent graph 5 units to the left and reflecting over the x-axis
Domain: there is no restriction on x so domain is all real number
(-∞, ∞)
Range: there is a horizontal asymptote for the parent graph of y = 0 with range of y > 0. the transformation is a reflection over the x-axis so the horizontal asymptote is the same (y = 0) but the range changed to y < 0.
(-∞, 0)
Y-intercept is when x = 0:
f(x) = - 3ˣ⁺⁵
= - 3⁰⁺⁵
= - 3⁵
= -243
Horizontal Asymptote: y = 0 <em>(explanation above)</em>
Answer:
56 meters.
Step-by-step explanation:
Please find the attachment.
Let the leaning tower's be h meters tall, when it was originally built.
We can see from our attachment that the side with length 55.86 meters is hypotenuse and h is adjacent side for 4 degree angle.
Since we know that cosine relates the adjacent and hypotenuse of a right triangle.
Upon substituting our given values we will get,
Therefore, the leaning tower was approximately 56 meters, when it was originally built.
