Answer:
C. ![A(x)\approx 30,000(0.840)^x](https://tex.z-dn.net/?f=A%28x%29%5Capprox%2030%2C000%280.840%29%5Ex)
Step-by-step explanation:
We have been given that Mike took out a $30,000 loan with a 7% annual interest rate. So the approximate amount, A(x), he has to pay on his loan at the end of each year as a function of x will be:
![A(x) = 30,000((1.07)^x*(0.98)^{12x})](https://tex.z-dn.net/?f=A%28x%29%20%3D%2030%2C000%28%281.07%29%5Ex%2A%280.98%29%5E%7B12x%7D%29)
![A(x) = 30,000((1.07)^x*(0.98^{12})^x)](https://tex.z-dn.net/?f=A%28x%29%20%3D%2030%2C000%28%281.07%29%5Ex%2A%280.98%5E%7B12%7D%29%5Ex%29)
![A(x) = 30,000((1.07)^x)*(0.785)^x)](https://tex.z-dn.net/?f=A%28x%29%20%3D%2030%2C000%28%281.07%29%5Ex%29%2A%280.785%29%5Ex%29)
Using exponent property
we will get,
![A(x) = 30,000(1.07*0.785)^x](https://tex.z-dn.net/?f=A%28x%29%20%3D%2030%2C000%281.07%2A0.785%29%5Ex)
![A(x) = 30,000(0.83995)^x](https://tex.z-dn.net/?f=A%28x%29%20%3D%2030%2C000%280.83995%29%5Ex)
![A(x)\approx 30,000(0.840)^x](https://tex.z-dn.net/?f=A%28x%29%5Capprox%2030%2C000%280.840%29%5Ex)
Therefore, the equation
represents the approximate amount, Mike has left to pay on his loan at the end of each year and option C is the correct choice.
Answer:
3.5 feet.
Step-by-step explanation:
There are 12 inches in a foot.
So, 42 ÷ 12 = 3.5.
Hope this helped, have a blessed day and best of luck!
23/10,000 after your decimal is tenths, next is hundredths then thoundths finally ten thoundths good luck
Answer:
Wdym number?
Improper Fraction: (17/10)
Whole Fraction: 1 (7/10)
Otherwise... I'm not sure what you mean numbers...?
The answer is C. the max and min are 20 and 11 which are only graphed in choice c