Annie would like to take out a loan to put a new playground in her yard for her kids. she offers her car which is worth $7,800 as collateral. the loan officer at the bank is permitted to loan annie 92% of the value of her collateral. how much will annie be able to borrow for the playground using her car as collateral?
a.

$7,708.00
b.

$7,176.00
c.

$7,800.00
d.

$8,478.26

Annie will be able to borrow $ 7,716.00 for the playground using her car a collateral (option b).

Explanation:

Interpretation of the problem: to take out a loan to put a new playground in her yard for her kids, Annie offers her car which is worth $ 7,800 as collateral. Since the loan officer at the bank is permitted to loan Annie 92% of the value of her collateral, in order to know how much Annie will be able to borrow, you must use percentage calculations.

Percent is a definition: percent is the ratio of an amount with respect to one hundreed. The mathematical expressions derived from that definition is:

In this case, the percent that the officer is permitted to loan is known, 92%, the amount to borrow is unknown (x), and the base is the value of her car (the collateral), $ 7,800, which leads to the following equation:

Now, you can solve for x:

In conclusion, Annie will be able to borrow $ 7,716.00 for the playground using her car as collateral.

quit

step-by-step explanation:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1