Let length of the hypotenuse = 3x and length of given leg be x feet.
then (3x)^2 = x^2 + 648
8x^2 = 648
x^2 = 81
so x = 9 and 3x = 27
Hypotenuse is 27 feet and the leg equals 9 feet.
The amount of money he will be able to withdraw after 10 years after his last deposit is $926,400.
<h3>Compound interest</h3>
- Principal, P = $2,000 × 12 × 4
= $96,000
- Time, t = 10 years
- Interest rate, r = 24% = 0.24
- Number of periods, n = 2
A = P(1 + r/n)^nt
= $96,000( 1 + 0.24/2)^(2×10)
= 96,000 (1 + 0.12)^20
= 96,000(1.12)^20
= 96,000(9.65)
= $926,400
Therefore, the amount of money he will be able to withdraw after 10 years after his last deposit is $926,400
Learn more about compound interest:
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Answer:
37
Step-by-step explanation:
Answer:
The distance between the parallel sides is 20cm.
Step-by-step explanation:
Area of a trapezoid:
![A=\frac{a+b}{2}\times h](https://tex.z-dn.net/?f=A%3D%5Cfrac%7Ba%2Bb%7D%7B2%7D%5Ctimes%20h)
where a and b are the 2 bases, and h is the height. The value we're trying to find here is the height.
3 of the 4 variables in this equation are already given:
A = 800
a = 48
b = 32
Just plug those in and solve for h:
![\rightarrow 800=\frac{48+32}{2}\times h\\\rightarrow 800=\frac{80}{2}\times h\\\rightarrow 800=40\times h\\\rightarrow 800\div40=h\\\rightarrow h=20](https://tex.z-dn.net/?f=%5Crightarrow%20800%3D%5Cfrac%7B48%2B32%7D%7B2%7D%5Ctimes%20h%5C%5C%5Crightarrow%20800%3D%5Cfrac%7B80%7D%7B2%7D%5Ctimes%20h%5C%5C%5Crightarrow%20800%3D40%5Ctimes%20h%5C%5C%5Crightarrow%20800%5Cdiv40%3Dh%5C%5C%5Crightarrow%20h%3D20)
Answer: (8)(-4.5)
Step-by-step explanation: If you were to multiply -4.5 • -8 it would be a positive number but if you multiply (8)(-4.5) that would equal a negative number