Luke’s luck changed, and he was able to enroll full-time again. He has become employed full-time and earns $40 per hour. Becomin
g employed full-time will help him repay the $35,000 he borrowed in direct student loans at 4.66%. Because all students who borrow direct loans are placed into the standard repayment plan when entering repayment by the Department of Education, Luke looked into the details. He realized the cost benefit and chose to remain in this plan, it is the shortest in length and students pay the least amount of interest. After doing some calculations, he estimated his monthly payment will be $365, which includes principal and interest. In order for Luke to be able to afford his repayment under the Standard plan comfortably, he will need to allocate 12% of his paycheck
How much does Luke need to earn per year (at least) to comfortably afford his repayment if he needs to allocate 12% of his paycheck?
How much does Luke need to earn per year (at least) to comfortably afford his repayment if he needs to allocate 12% of his paycheck?
2 answers:
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Answer:
The area of the quadrilateral B-H-G-E is 7
Step-by-step explanation:
The area of the parallelogram = 60
It can be shown that ΔG-D-F = 3/10 × Area of the parallelogram S = 3/10×S
Because the diagonal B-D shares A-F into the ratio 1:2, the ΔH-D-A = 2/3×ΔD-B_A where ΔD-B_A = 1/2·S, therefore, ΔD-B_A = 2/3×1/2×S = 1/3×S
ΔB-F-H is similar to ΔD-B_A scaled to 1/2,
Therefore;
The area of ΔB-F-H = 1/4×Area of ΔD-B_A = 1/4×1/3×S = 1/12×S,
ΔF-C-D = 1/4×S
ΔE-A-D = 1/4×S
The area of the quadrilateral B_H_G_E found as follows;
Area B_H_G_E = S - (ΔF-C-D + ΔG-D-F +ΔE-A-D +ΔB-F-H)
Area B_H_G_E = S - (1/4×S + 1/10×S +1/4×S +1/12×S) = S - 53/60×S = 7/60×S
Whereby we are given that the area, S of the parallelogram AB-CD = 60 we have;
Area B_H G_E = 7/60×60 = 7
