Answer:
<h2>Option A is the answer(here the answer is calculated taking the whole value, without approximating it to a nearest value)</h2>
Step-by-step explanation:
Annual interest rate is 2.75%. Hence, the monthly interest rate is ![\frac{2.75}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B2.75%7D%7B12%7D)
The amount will be compounded
times.
Every month they deposits $500.
In the first month that deposited $500 will be compounded 240 times.
It will be ![500\times [1 + \frac{2.75}{1200} ]^{240}](https://tex.z-dn.net/?f=500%5Ctimes%20%5B1%20%2B%20%5Cfrac%7B2.75%7D%7B1200%7D%20%5D%5E%7B240%7D)
In the second month $500 will be deposited again, this time it will be compounded 239 times.
It will give ![500\times [1 + \frac{2.75}{1200} ]^{239}](https://tex.z-dn.net/?f=500%5Ctimes%20%5B1%20%2B%20%5Cfrac%7B2.75%7D%7B1200%7D%20%5D%5E%7B239%7D)
Hence, the total after 20 years will be ![500\times [1 + \frac{2.75}{1200} ]^{240} + 500\times [1 + \frac{2.75}{1200} ]^{239} + ........+ 500\times [1 + \frac{2.75}{1200} ]^{1} = 160110.6741](https://tex.z-dn.net/?f=500%5Ctimes%20%5B1%20%2B%20%5Cfrac%7B2.75%7D%7B1200%7D%20%5D%5E%7B240%7D%20%2B%20500%5Ctimes%20%5B1%20%2B%20%5Cfrac%7B2.75%7D%7B1200%7D%20%5D%5E%7B239%7D%20%2B%20........%2B%20500%5Ctimes%20%5B1%20%2B%20%5Cfrac%7B2.75%7D%7B1200%7D%20%5D%5E%7B1%7D%20%3D%20160110.6741)
Answer:
I think is $5.00
Step-by-step explanation:
i dont know if i did the math right??>
Step-by-step explanation:
f(x) = 3^x + 10x
g(x) = 5x - 3
(f + g) (x) = (3^x+10x) + (5x - 3)
= 3^x + 15 - 3
Therefore, the answer is C
Which expression is equivelent please help
Answer: Hi!
![-2m(m+n-4)+5(-2m+2n)+n(m+4n-5)=\\\\-2m^2-2mn+8m+(-10m+10n)+nm+4n^2-5n=\\\\-2m^2-2mn+nm+8m-10m+10n-5n+4n^2=\\\\\boxed{-2m^2-mn-2m+5n+4n^2} \\\\\boxed{\boxed{-2m^2+4n^2-mn-2m+5n}\quad\to\quad C)}](https://tex.z-dn.net/?f=-2m%28m%2Bn-4%29%2B5%28-2m%2B2n%29%2Bn%28m%2B4n-5%29%3D%5C%5C%5C%5C-2m%5E2-2mn%2B8m%2B%28-10m%2B10n%29%2Bnm%2B4n%5E2-5n%3D%5C%5C%5C%5C-2m%5E2-2mn%2Bnm%2B8m-10m%2B10n-5n%2B4n%5E2%3D%5C%5C%5C%5C%5Cboxed%7B-2m%5E2-mn-2m%2B5n%2B4n%5E2%7D%20%5C%5C%5C%5C%5Cboxed%7B%5Cboxed%7B-2m%5E2%2B4n%5E2-mn-2m%2B5n%7D%5Cquad%5Cto%5Cquad%20C%29%7D)
We will find the numerator step by step for each expression:
For 10/15 = x / 60
x = (10/15) * (60)
x = 40
For x / 108 = 4/9
x = (4/9) * (108)
x = 48
For 7/11 = x / 121
x = (7/11) * (121)
x = 77
For x / 144 = 2/6
x = (2/6) * (144)
x = 48