Phillip deposited $7,775 into a savings account 14 years ago. the account has an interest rate of 4.5% and the balance is currently $14,398.87. how often does the interest compound?

The future amount of an investment with compound interest can be calculated through the equation,

     F = P x (1 + ieff)^n

where F is the future amount, P is the current value of the money, ieff is the effective interest (rate per year), and n is the number of years.

From the equation, all are given except for the effective interest, i. Now, substituting the known values,
  14,398.87 = (7,775) x (1 + ieff)^14

The value of ieff from the equation is 0.044999. 

Since the value of the ieff when translated to percentage is equal to 4.5% as well, the interest rate is compounded yearly. 

$527.7.if the following was the question  $527.7 is the answer.students who are trying to raise funds have an agreement with a local pizza chain. the chain has agreed to sell them pizzas at a discount, which the students can then resell to families in the local community for a profit. it is expected that of the 500 families in the community, at most 70% will buy pizza. based on a survey of their personal preferences, the students believe that they should order no more than 120 cheese pizzas, no more than 150 pepperoni pizzas, and no more than 100 vegetarian pizzas. they also want to make sure that at least 20% of the total pizzas are cheese and at least 50% of the pizzas are pepperoni. they make a profit of $1.45, $1.75, and $1.98, respectively, for each cheese, pepperoni, and vegetarian pizza they resell. how many pizzas of each type should they buy?