Powers of power multiply:
![(17^{1/7})^7 = 17^{(\frac 1 7 \cdot 7)} = 17^1 = 17](https://tex.z-dn.net/?f=%2817%5E%7B1%2F7%7D%29%5E7%20%3D%2017%5E%7B%28%5Cfrac%201%207%20%5Ccdot%207%29%7D%20%3D%2017%5E1%20%3D%2017)
Answer: 17
Given:
loan amount - $204,000
interest rate per annum - 4.5%
4.5% / 12 months = 0.375% per month
3/27 - 3 years to pay, 27 years amortization
27 years * 12 months = 324 months
Using the attached formula to compute for the monthly amortization:
A = 204,000 * [0.00375(1+0.00375)³²⁴] / [(1+0.00375)³²⁴ - 1]
A = 1,088.79
Keep in mind that there are slight differences in figures due to the decimal places used.
FV = 204,000(1+0.00375)³⁶ - 1,088.79 {[(1+0.00375)³⁶ - 1] / 0.00375}
FV = 233,426.56 - 41,885.72
FV = 191,540.84
The closest to my answer is Choice B. <span>
B. $190,245.98</span>
The height of the baseball going upwards is 35.77 ft
<u>Explanation:</u>
Given:
initial velocity, u = 48 ft/s
Height, h = ?
If the ball is thrown in the air, then the final velocity of the ball will be 0 as the ball later comes to rest.
Acceleration of the ball will be acceleration due to gravity
g = 9.8 m/s²
g = 32.2 ft/s²
We know,
(v)² - (u)² = 2gh
(0)² - (48)² = 2 X 32.2 X h
2304 = 64.4 X h
![h = \frac{2304}{64.4} \\\\h = 35.77 ft](https://tex.z-dn.net/?f=h%20%3D%20%5Cfrac%7B2304%7D%7B64.4%7D%20%5C%5C%5C%5Ch%20%3D%2035.77%20ft)
Therefore, height of the baseball going upwards is 35.77 ft
<h3>
Answer:</h3>
- shoes: $32
- t-shirt: $16
- sunglasses: $8
- hat: $9
<h3>
Step-by-step explanation:</h3>
Let the costs of shoes, t-shirt, and glasses be represented by s, t, g, respectively. The problem statement tells us these relationships:
... s = 2t
... g = t/2
... s +t +g +9 = 65 . . . . . the $9 cost of the hat is added into the total
_____
<em>Solution</em>
Substituting for s and g, we have ...
... 2t +t +t/2 +9 = 65
... (3 1/2)t = 56 . . . . . collect terms
... t = 56/3.5 = 16 . . . . divide by the coefficient of t
The shoes are 2t, so $32.
The t-shirt is t, so $16.
The sunglasses are t/2, so $8.
The hat is $9.