Niki makes the same payment every two months to pay off his $61,600 loan. The loan has an interest rate of 9.84%, compounded every two months. If Niki pays off his loan after exactly eleven years, how much interest will he have paid in total? Round all dollar values to the nearest cent.
Answers
The present value of an annuity is given by PV = P(1 - (1 + r/t)^-nt) / (r/t) where PV = $61,600; r = interest rate = 9.84% = 0.0984; t = number of payments in a year = 6; n = number of years = 11 years and P is the periodic payment.
61600 = P(1 - (1 + 0.0984/6)^-(11 x 6)) / (0.0984 / 6)
61600 = P(1 - (1 + 0.0164)^-66) / 0.0164
61600 x 0.0164 = P(1 - (1.0164)^-66)
1010.24 = P(1 - 0.341769) = 0.658231P
P = 1010.24 / 0.658231 = 1534.78
Thus, Niki pays $1,534.78 every two months for eleven years.
The total payment made by Niki = 11 x 6 x 1,534.78 = $101,295.48
Therefore, interest paid by Niki = $101,295.48 - $61,600 = $39,695.48
Answer:
answer is A on edge
Step-by-step explanation:
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Step-by-step explanation:
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Question 7 options:
45°
65°
115°
135°
Save
Answers
Answer:
Step-by-step explanation:
we know that
If the lines g and h are parallel
then
-----> by alternate exterior angles
see the attached figure to better understand the problem
we have that
therefore
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Answers
Answer:
8x * sqrt(5x)
Step-by-step explanation:
Factor 320 into its prime factors: (2^6) * 5
To simplify sqrt we extract factors which are squares and the rest remain inside the root: (2^6) will be extracted (2^6=64) and 5 will remain inside
Take sqrt of factors being extracted: sqrt64= 8
Now it looks like this: 8 * sqrt(5x^3)
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Therefore, sqrt (320x^3)= 8x*sqrt(5x)
Answers
Hope this helped!
Find the measure of Angle DBE then find the measure of ∠ABD?
Answers
Answer:
angle DBE=
Step-by-step explanation:
We know that angle ABE is a right angle because 70+20=90. Therefore angle CBE is also a right angle.
Now, 90-40=50 (angle DBE's measure)
Based on this, we can know that 20+70+50=140. Angle ABD is 140 degrees.
HTH :)
Answer:
m<DBE =50°
m<ABD=150°
Step-by-step explanation:
Because of Straight Angles, All the angles will add up to 180 degrees
Let x be m<DBE
40+x+70+20=180
x+130=180
x=50
m<DBE will be 50 degrees
To find the m<ABD, we add m<FBA, m<FBE, m<DBE.
70+50+30=150
m<ABD = 150