The correct answer would be 3, if im not mistaken
Simplifying
5y + -2 = 4y + 7
Reorder the terms:
-2 + 5y = 4y + 7
Reorder the terms:
-2 + 5y = 7 + 4y
Solving
-2 + 5y = 7 + 4y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-4y' to each side of the equation.
-2 + 5y + -4y = 7 + 4y + -4y
Combine like terms: 5y + -4y = 1y
-2 + 1y = 7 + 4y + -4y
Combine like terms: 4y + -4y = 0
-2 + 1y = 7 + 0
-2 + 1y = 7
Add '2' to each side of the equation.
-2 + 2 + 1y = 7 + 2
Combine like terms: -2 + 2 = 0
0 + 1y = 7 + 2
1y = 7 + 2
Combine like terms: 7 + 2 = 9
1y = 9
Divide each side by '1'.
y = 9
Simplifying
y = 9
Answer:
556
Step-by-step explanation:
Find out how much 1.4% is of 500 which is 7
so 7 x 8 = 56
now we add it 500 + 56 = 56
Since he is investing the same amount monthly, we have to apply annuity formula. And it is planned for the future. So that, we'll apply future value annuity formula. The formula is
![FV=A[ \frac{(1+ \frac{r}{s})^{Ns} -1 }{r} ]](https://tex.z-dn.net/?f=FV%3DA%5B%20%5Cfrac%7B%281%2B%20%5Cfrac%7Br%7D%7Bs%7D%29%5E%7BNs%7D%20-1%20%7D%7Br%7D%20%5D)
, where A is the monthly payment, r is the percentage rate, s is 12 (monthly compound) and N is the time, which is 30. Plugging the numbers into the formula, we write that
![FV=155[ \frac{(1+ \frac{0.037}{12} )^{12*30} - 1 }{0.037} ]](https://tex.z-dn.net/?f=FV%3D155%5B%20%5Cfrac%7B%281%2B%20%5Cfrac%7B0.037%7D%7B12%7D%20%29%5E%7B12%2A30%7D%20-%201%20%7D%7B0.037%7D%20%20%5D)
= $8485.450857
Answer:
-cos(2A)
Step-by-step explanation:
We know that (a+b) (a-b) = a^2-b^2
So it means we can simplify to sin^2(A)-cos^2(A) and we know cos^2(A) - sin^2(A) = cos(2A) but we will just multiply by -1 and we get - cos(2A)