Question
Maria and John have been married for 2 years and just learned that they are pregnant. They have been renting a small apartment but decide
- Maria and John have been married for 2 years and just learned that they are pregnant.
They have been renting a small apartment but decide to purchase a house.They find one that is selling for $400,000. They decide to make a 20% down payment on a 30-year mortgage at 3.75%. Answer each of the following questions separately, showing all your work to reach each answer.
- How much will they need for the down payment?
- What will be the mortgage amount (i.e. the principal)?
- How much will their monthly payment be for the principal and interest?
- How much total interest will they pay if they take the full 30 years to pay off the mortgage? -
- They decide to shop for the new house. They choose items that amount to $ 1800.00. The store has 2 options for purchasing:
- financing at 6% simple interest per year for 2 years with a 10% down payment.
- no down payment and financing at 5.2% simple interest for 3 years.
Answer each of the following questions separately, showing all your work to reach each answer.
- which option should they choose if they want the smallest finance charge?
- Which option should they choose if they want the smallest total installment price?
- Which option should they choose if they want the smallest amount of the monthly payment?
- Marias parents tell them that they will set up a savings account for their first grandchild. They have $10,000 to invest and have identified an account that pays 3% compounded weekly. Since Maria and John both just finished a course on consumer mathematics, they
each decide to calculate how much interest will have been earned at the end of 10 years and the end of 18 years.
Maria is very precise and never rounds her decimal places until the end of her calculations.
John always rounds each intermediate step to 5 decimal places.
Answer each of the following questions separately, showing all your work to reach each answer.
- How much interest will Maria calculate for each time period (10 years and 18 years)?
b. How much interest will John calculate for each time period? (10 years and 18 years)?
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