Kayleigh wants to buy a car that costs $17,360. she deposits $14,000 into a savings account that earns 8% interest. how long must kayleigh leave the money in the savings account to be able to buy the car?
a.) 16 years
b.) 4.5 years
c.) 3 years
d.) 3 months

The correct answer is option C.) 3 years.

Step-by-step explanation:

Let's start by analyzing the information we have.

We know that Kayleigh wants to buy a car that costs $ 17360.

She deposits $ 14,000. Therefore she will be missing $ 3360 to buy the car.

The money has been deposited in a savings account that generates 8% interest annually.

That means it will generate $ 1120 per year:

14000 x 0.08 = 1120.

If we multiply the amount of interest by 3 years we will obtain the sum of $3360 :

1120 x 3 = 3360

And in this way we will reach the money needed to buy the car:

3360 + 14000 = 17360.

Therefore the correct answer is option C.

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

40% off the regular price is the correct answer.

step-by-step explanation: