Maria invested $2000 in an account that earns 4.5% interest , compounded annually. the formula for compound interest is a(t) =p(1+l)× how much did maria have in the account after 5 years ? a. $10,450.00b. $2492.36c. $2450.00d. $12,819.47

b

Step-by-step explanation:

B. $2492.36

Step-by-step explanation:

We are given the formula for compound interest,

where p is the amount of principal, i is the interest rate and x is the number of years.

In our problem, p is 2000, i = 4.5% = 4.5/100 = 0.045, and x is 5:

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:

a

step-by-step explanation: