Yes; this is a linear function because you plug in a number and multiply it by two, so the function would be y=2x, which is linear despite the fact that it lacks a b value.

Hope this helps! :)

8 0

3 years ago

if you deposit $8000 into an account paying 9% annual interest compunded semi anually how long will it take for your money to do

Anna007 [38]

Answer:

7.87 years

Step-by-step explanation:

#First we determine the effective annual rate based on the 9% compounded semi annual;

$i_m=(1+i/m)^m-1\\\\=(1+0.09/2)^2-1\\\\=0.09203$

#We then use this effective rate in the compound interest formula to solve for n. Given that the principal doubles after 2 yrs:

$A=P(1+i)^n\\\\A=2P, i=i_m\\\\16000=8000(1.09203)^n\\\\2=1.09203^n\\\\n=\frac{log \ 2}{log \ 1.09203}\\\\=7.87324\approx7.87 \ yrs$

Hence, it takes 7.87 years for the principal amount to double.

4 0

3 years ago