Answer:
D
Step-by-step explanation: The two angles are not equal. The alternate interior angles theorem states that if the alternate interior angles are equal when a pair of lines is cut by a transversal, the two lines are parallel. However, the two angles are not parallel, so the lines are not parallel.
<h3>The final amount is $ 6881.71</h3>
<em><u>Solution:</u></em>
<em><u>The formula for compound interest, including principal sum, is:</u></em>
![A = p(1 + \frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%20%3D%20p%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
Where,
A = the future value of the investment
P = the principal investment amount\
r = the annual interest rate in decimal
n = the number of times that interest is compounded per unit t
t = the time the money is invested
From given,
p = 4000
t = 5
![r = 11 \% = \frac{11}{100} = 0.11](https://tex.z-dn.net/?f=r%20%3D%2011%20%5C%25%20%3D%20%5Cfrac%7B11%7D%7B100%7D%20%3D%200.11)
n = 4 ( compounded quarterly )
<em><u>Substituting the values in formula,</u></em>
![A = 4000(1 + \frac{0.11}{4})^{4 \times 5}\\\\ A = 4000( 1.0275)^{20}\\\\A = 4000 \times 1.720428\\\\A = 6881.7137 \approx 6881.71](https://tex.z-dn.net/?f=A%20%3D%204000%281%20%2B%20%5Cfrac%7B0.11%7D%7B4%7D%29%5E%7B4%20%5Ctimes%205%7D%5C%5C%5C%5C%20A%20%3D%204000%28%201.0275%29%5E%7B20%7D%5C%5C%5C%5CA%20%3D%204000%20%5Ctimes%201.720428%5C%5C%5C%5CA%20%3D%206881.7137%20%5Capprox%206881.71)
Thus the final amount is $ 6881.71
Answer:
i think you have to mutiply
Step-by-step explanation:
91% = 0.91
<span>25,000 * 0.91 = 22,750 --->cars are passed
</span>
25,000 - 22,750 = 2,250 ---> cars are rejected
answer is B. 2,250 cars
Answer:
<h3>
8, 9, 10</h3>
Step-by-step explanation:
x ← the smallest integer
x+1 ← the middle integer
x+2 ← the largest integer
3x ← three times the smallest
x+2 + 14 ← 14 more than the largest
3x = x+2 + 14
-x -x
2x = 16
÷2 ÷2
x = 8
x+1 = 8+1 = 9
x+2 = 8+2 = 10
Check: 3×8 = 24; 24-14 = 10