Tiffany has taken out a loan with a stated interest rate of 8.145%. how much greater will tiffany’s effective interest rate be if the interest is compounded weekly than if it is compounded semiannually?

0.1681 percentage point

Step-by-step explanation:

Here the stated interest rate = 8.145% = 0.08145

If the interest is calculated weekly,

In one year number of weeks= 52,

Thus, the effective interest rate in that case,

⇒

Now, If the interest is calculated semiannually,

In one year number of half years in one year = 2

Thus, the effective interest in that case,

⇒

Since,  

Thus, Tiffany's effective interest rate is 0.1681 percentage point greater when the interest is calculated compound weekly than when the interest is calculated compound weekly.

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is