Answer:
<em>36:60:84</em>
<em>A : B : C</em>
<em>36° : 60° : 84°</em>
<em>A= 36°</em>
<em>B= 60°</em>
<em>C=84°</em>
Step-by-step explanation:
<em>3:5:7 =15</em>
<em>180÷15=12</em>
<em>3×12=36</em>
<em>36:x:y =180</em>
<em>5×12=60</em>
<em>36:60:y =180</em>
<em>7×12=84</em>
<em>36:60:84 =180</em>
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.
Answer:
198
Step-by-step explanation:
<h3>
Part A:</h3>
The area A of a rectangle is A = bh, where b is the base of the rectangle and h is the height. The area of each rectangle with side lengths 1.5 ft and 2 ft is 1.5 × 2 = 3ft2. Since there are two rectangles with these dimensions, the combined area is 2 × 3 = 6 ft2. The area of each rectangle with side lengths 1.5 ft and 2.5 ft is 1.5 × 2.5 = 3.75 ft2. The area of each rectangle with side lengths 2 ft and 2.5 ft is 2 × 2.5 = 5 ft2. Since there are two rectangles of each type, the combined area is 2 × 3.75 + 2 × 5 =17.5 ft2. <u><em>So, the total surface area of the box is 6 ft2+ 17.5 ft2 = 23.5 ft2</em></u>
<u><em></em></u>
<h3>Part B:</h3>
The employee needs to wrap 8 boxes, each with a surface area of 23.5 ft2. So, the combined surface area needing to be wrapped is 8 × 23.5 = 188 ft2. Since there is only 160 square feet of wrapping paper left, the employee will not be able to wrap all of the gifts
Answer:
7
Step-by-step explanation:
75% of 28 is 21.
21 pairs are tennis
So,
28-21=7.
7 pairs left!
