Tom has offered to sell julian his motorcycle for $1,200. julian knows this is a very good deal, since the same motorcycle can be purchased at the dealership for $1,800. since julian doesn’t have $1,200 and tom does not accept credit cards, they both think a cash advance might be a good idea. julian’s credit card company can offer him a cash advance for the $1,200 he needs at an interest rate of 26%. he would then pay off the balance in 24 months.
should julian use the cash advance to purchase the motorcycle?
a.
no. julian would be paying too much in interest to warrant using a cash advance.
b.
yes. even with the interest, the total cost of the motorcycle would be less than at the dealership.
c.
yes. the interest rate on the cash advance is low. julian will not have to pay much interest on the cash advance.
d.
no. the high interest rate on the cash advance would make the purchase of the motorcycle almost twice than the price at the dealership.

On E2020, the answer is B.

c > -10.55

step-by-step explanation:

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.