25. belle had the choice of taking out a 4-year car loan at
8.5% simple interest or a 5-year car loan at 7.75%
simple interest. if she borrows $15,000, how much
interest would she pay for each loan? which option
will require less interest?

the first loan is cheaper

Step-by-step explanation:

convert percent values to decimals

8.5/100=.085

7.75/100=.0775

find the value for the first loan

1550*.085*4=527

find the value for the first loan

1550*.0775*5=600.625

compare

find out the value of b

step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)