Answer:
<u>Use the formula for area of the triangle:</u>
- A = 1/2bh, where b- base, h- height or altitude
<h3>Part A</h3>
<u>The triangle i has:</u>
<u>The area is:</u>
<h3>Part B</h3>
Triangles have same area as they are congruent.
<u>Total area is:</u>
Answer:
1. 1/3 x 2/2 = 1/3
2. 1/4 x 5/5 = 1/4
3. 1/6 x 4/4 = 1/6
4. 9/8 x 3/4 = (9x3)/(8x4) = 27/32
4. 4/5 x 2/2 = 4/5
Step-by-step explanation:
n/n = 1
Answer:
x^-5 = x to the power of negative 5
Step-by-step explanation:
Which of these is equivalent to 1 over x to the power of 5 ?
Mathematically this is expressed as
(1/x)⁵
We have a rule when it comes to expressing power
(1/a)^b = a^-b
Hence, applying this rule to our question
(1/x)⁵ = (1/x)^5
= x^-5
This is written in words as:
x to the power of negative 5
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.