( 15points)Help!!! I need to finish this less than 10 minutes
2 answers:
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<h3>Given</h3>
trapezoid PSTK with ∠P=90°, KS = 13, KP = 12, ST = 8
<h3>Find</h3>the area of PSTK
<h3>Solution</h3>It helps to draw a diagram.
∆ KPS is a right triangle with hypotenuse 13 and leg 12. Then the other leg (PS) is given by the Pythagorean theorem as
... KS² = PS² + KP²
... 13² = PS² + 12²
... PS = √(169 -144) = 5
This is the height of the trapezoid, which has bases 12 and 8. Then the area of the trapezoid is
... A = (1/2)(b1 +b2)h
... A = (1/2)(12 +8)·5
... A = 50
The area of trapezoid PSTK is 50 square units.
Answer:
Interest in 3 years = $456.52
Step-by-step explanation:
As we know the the formula of compound interest
Total amount =
Here n = number of times amount is compounded
r = rate of interest
t = period
Here A = $2500
r = 0.0575
n = 1 (compounded annually)
t = 3 years
Therefore amount after 3 years
P =2500(1.0575)³
= 2500×1.18
= $2956.52
We have to calculate the interest then
Interest = $2956.52-$2500 = $456.52
So after 3 years interest gained = $456.52