B* in using the expression above, choose the correct answers for the new balance and the amount of interest earned in the following compound interest problem. $850 at 8% for 8 years, compounded annually. total amount = $ interest amount = $

 Total Amount = $1573.29

Interest Amount =$723.29

Step-by-step explanation:

The formula to find the compound amount is given by :-

, where P is the Principal amount , r is the rate of interest ( in decimal) and t is the time period ( in years).

Given : P= $850   :   r= 8%=0.08    ;   t= 8 years

Then, the compound amount after 8 years if compounded annually :-

Hence, Total Amount = $1573.29

Interest Amount = Total Amount -Principal amount

=$1573.29-  $850 =$723.29

Thus, Interest Amount =$723.29

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: