To answer this problem, we can use the power rule such that the result of the operations of the powers on the left side is equal to power on the right side. In this case, the right side's power is 200. On the left side, the tentative sum is 60 - 18 or equal to 42. Thus, the remaining exponent to be added on the left side is 158. Answer is x^158
Answer:
![A(x) = 12000(1.04)^x](https://tex.z-dn.net/?f=A%28x%29%20%3D%2012000%281.04%29%5Ex)
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
![A(t) = P(1 + \frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20P%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
$12000 cash
This means that ![P = 12000](https://tex.z-dn.net/?f=P%20%3D%2012000)
Compounded at 4% interest annually.
This means that ![r = 0.04, n = 1](https://tex.z-dn.net/?f=r%20%3D%200.04%2C%20n%20%3D%201)
What equation will calculate the value in x years?
![A(t) = P(1 + \frac{r}{n})^{nt}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20P%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D)
![A(x) = P(1 + \frac{r}{n})^{nx}](https://tex.z-dn.net/?f=A%28x%29%20%3D%20P%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnx%7D)
![A(x) = 12000(1 + 0.04)^x](https://tex.z-dn.net/?f=A%28x%29%20%3D%2012000%281%20%2B%200.04%29%5Ex)
![A(x) = 12000(1.04)^x](https://tex.z-dn.net/?f=A%28x%29%20%3D%2012000%281.04%29%5Ex)
Subtract 3x from both sides:
-6y = -3x + 6
divide both sides by -6 to get y by itself:
y = 1/2x - 1
function notation is rewriting y as a function:
f(x) = 1/2x -1
Step-by-step explanation:
(9x-8)-(x+4)=8x+12
9x-8-x-4=8x+12
8x-12=8x+12 (no it's not)
So it's false.
Hey guys! I need help with this question urgently, so could you please help me out? Thanks in advance! Merry Christmas!
Question: brainly.com/question/19989741