Answer:
$1,448.66
Step-by-step explanation:
The future value of an annuity with yearly deposits 'P' at an interest rate of 'r' invested for 'n' years is determined by:
![FV = P[\frac{(1+r)^n-1}{r}]](https://tex.z-dn.net/?f=FV%20%3D%20P%5B%5Cfrac%7B%281%2Br%29%5En-1%7D%7Br%7D%5D)
For P = $100, r = 0.08 and n = 10 years:
![FV = 100[\frac{(1+0.08)^{10}-1}{0.08}]\\FV=\$1,448.66](https://tex.z-dn.net/?f=FV%20%3D%20100%5B%5Cfrac%7B%281%2B0.08%29%5E%7B10%7D-1%7D%7B0.08%7D%5D%5C%5CFV%3D%5C%241%2C448.66)
The amount at the end of the ten years is $1,448.66
Answer:
24°
Step-by-step explanation:
(4y-4)+(180-52)+3y = 180°
4y-4+128+3y = 180
7y+124 = 180
7y = 56
y = 8
SO ∠x = 3y
∠x = 3(8)
∠x = 24
Answer:
-2-5
Step-by-step explanation:
-2-5 = -7
2-5 -3
-5+2
= -3
5+(-2) = -3
Going shopping and not wanting to forget what you need?
Answer:
Approx. 11 ft. See below.
Step-by-step explanation:
The tangent function is the easiest tool to use here. tan 24 degrees = opp / adj = (5 ft) / x. We are to find x. Multiplying both sides of this equation by x, we get x * tan 24 degrees = 5 ft. Thus, x = (5 ft) / (tan 24 degrees) = 11.23 ft, or approx. 11 ft.
