He actually borrowed P=21349-3000=18349 (present value)
Assume the monthly interest is i.
then future value due to loan:
F1=P(1+i)^n=18349(1+i)^(5*12)=18349(1+i)^60
future value from monthly payment of A=352
F2=A((1+i)^n-1)/i=352((1+i)^60-1)/i
Since F1=F2 for the same loan, we have
18349(1+i)^60=352((1+i)^60-1)/i
Simplify notation by defining R=1+i, then
18349(R^60)-352(R^60-1)/(R-1)=0
Simplify further by multiplication by (R-1)
f(R)=18349*R^60*(R-1)-352(R^60-1)=0
Solve for R by trial and error, or by iteration to get R=1.004732
The APR is therefore
12*(1.004732-1)=0.056784, or 5.678% approx.
??? The answer is not able to be found for the fact that there are 3 numbers all coming from x.
Angles are 18° and 72°
Step-by-step explanation:
- Step 1: Find the two complementary angles in the ratio 1:4. Let the angles be 1x and 4x.
x + 4x = 90° (∵ they are complementary)
5x = 90
∴ x = 90/5 = 18
⇒ Angles are 18° and 4x = 72°
Using trigonometry
tan(x)=9/6
use your calculator to find x using tan-1(9/6) and you get 56.3° which is basically the first answer
Answer:
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Step-by-step explanation:
