Answer:
$1,519
Step-by-step explanation:
Given that :
Balance = principal = $520
Time (t) = 6 years
Annual. Interest rate (r) = 18% = 0.18
Using the compound interest formula:
A = P(1 + r/n)^nt
n = number of times interest is applied per period ; A = final amount
Since interest is compounded monthly, n = 12
A = 520(1 + 0.18/12)^(12 * 6)
A = 520(1 + 0.015)^72
A = 520(1.015)^72
A = 520(2.9211579)
A = 1519.0021
Hence, final amount = $1519
D fed ifjk vs cjsioxhdjducjskvuhdkfuxhxiufuc
![\dfrac{x^2-9}{x-3}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%5E2-9%7D%7Bx-3%7D)
For x=3, the denominator is equal to 0 and you can't divide by 0.
Answer:
![(B) P(B)=\dfrac{16}{31}](https://tex.z-dn.net/?f=%28B%29%20P%28B%29%3D%5Cdfrac%7B16%7D%7B31%7D)
Step-by-step explanation:
From the Venn diagram, n(AUB)=31
The given probabilities in the option are calculated below:
![P(A)=\dfrac{21}{31}\\\\P(B)=\dfrac{16}{31}\\\\P(A|B)=\dfrac{P(A\cap B)}{P(B)}= \dfrac{6/31}{16/31} =\dfrac{6}{16}=\dfrac{3}{8} \\\\P(B|A)=\dfrac{P(B\cap A)}{P(A)}= \dfrac{6/31}{21/31} =\dfrac{6}{21}=\dfrac{3}{7}](https://tex.z-dn.net/?f=P%28A%29%3D%5Cdfrac%7B21%7D%7B31%7D%5C%5C%5C%5CP%28B%29%3D%5Cdfrac%7B16%7D%7B31%7D%5C%5C%5C%5CP%28A%7CB%29%3D%5Cdfrac%7BP%28A%5Ccap%20B%29%7D%7BP%28B%29%7D%3D%20%5Cdfrac%7B6%2F31%7D%7B16%2F31%7D%20%3D%5Cdfrac%7B6%7D%7B16%7D%3D%5Cdfrac%7B3%7D%7B8%7D%20%5C%5C%5C%5CP%28B%7CA%29%3D%5Cdfrac%7BP%28B%5Ccap%20A%29%7D%7BP%28A%29%7D%3D%20%5Cdfrac%7B6%2F31%7D%7B21%2F31%7D%20%3D%5Cdfrac%7B6%7D%7B21%7D%3D%5Cdfrac%7B3%7D%7B7%7D)
The only correct option is the probability of B which is ![\frac{16}{31}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B31%7D)
Answer:
a = 62
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
a + 47+71 = 180
Combine like terms
a +118 = 180
Subtract 118 from each side
a+118-118=180-118
a =62