In a loan database, there are 66 loans to clients with 17 years of business experience. Also, there are 83 loans made to clients with a Graduate education. In the database there are 142 loans to clients with 17 years of experience or who have a Graduate education. How many loans were made to clients with a Graduate education who also had 17 years of experience?

7 loans were made to clients with Graduate education who also had 17 years of experience

Explanation:

We have to solve for which is the intersection between the two groups.

66 is the count for +17 years

83 is the count for Graduate

the two groups is 149 loans

Then, we have 142 loans which are not part of both groups. Therefore, the difference are the loan count which do belong to both groups:

149 total loans - 142 loans out = 7

the investment was $14,174.196

explanation:

a lump sum means that the father of the example made one deposit and leave it be.

we need to know the value of a capital that generated at 4.05% per year during 28 years the sum of $48,613.24

now clearing the formula to solve for capital we got:

and we reach the answer investment = $14,174.20