Cooper will deposit $1,500 into an account that earns 7% simple interest every year. His sister Trinity will deposit $1,800 into an account that earns 6% simple interest every year. The deposits will be made on the same day, and no additional money will be deposited or withdrawn from the accounts. Which statement about the balances of Cooper's and Trinity's account at the end of 3 years is true?

For Cooper :

Simple interest = $315

The total amount he would have in his account = $1815

For Trinity :

Simple interest =  $324

The total amount she would have in her account = $2124

Trinity's interest is higher than Cooper's interest by $9

The total amount of money Trinity would have at the end of 3 years is higher than that of Cooper by $309

Step-by-step explanation:

Simple interest = principal x rate x time

Value = amount deposited + simple interest

For Cooper :

Simple interest = $1,500 x 0.07 x 3 = $315

The total amount he would have in his account = $1,500 + $315 = $1815

For Trinity :

Simple interest = $1800 x 0.06 x 3 = $324

The total amount she would have in her account = $1,800 + $324 = $2124

the range of a function is the range of y-values for which it is defined, or exists. given that we are only looking at the y-values, we can already discount the first two answers as they deal with the domain of the function (range of x-values).

now, what we need to do is find the smallest and highest y-values for which the function is defined. if you'd like, you could take a ruler and start at the very bottom of the graph, find the lowest point, then move the ruler higher and higher until you reach the highest point. doing so either in your head or with an actual ruler, we can see that the lowest y-value is -5 and the highest y-value is -1.

the question now remains as to whether they are included in the range (fourth answer) or excluded (third answer). the key here is to recognise whether they are marked with an open or a closed circle. since both (-2, -5) and (2, -1) are marked with a closed circle, they are points that exist on the graph and are thus included in the range (note that if they were marked with an open circle like (4, -2) then that would signify that there is a break in the graph at that point).

thus, the fourth answer, (y | -5 ≤ y ≤ -1), is correct.

also note that usually it is good practice to scan your eye inbetween the highest and lowest point for any breaks in the graph - we do have one here at (4, -2), however -2 is still included in the range because there is another point that is included in the graph with the same y-value, ie. point (1, -2).

i hope that but if you require any further explanation don't hesitate to comment below.

cut 138 centimeters off

step-by-step explanation:

250-112 = 138