Financial Math Answers

a bakery finds that the price they can sell cakes is given by the function p=580-10k where x is number of the cakes sold per day, and p is price. the total cost function of the company is given by c= ( 30 + 5x)^2 where x is previously defined and c is the total cost. A. find the revenue and the marginal revenue functions [ Hint: revenue is the price multiplied by quantity i.e. revenue = price* quantity]
B. find the fixed cost and marginal cost function [ Hint: fixed cost does not change with quantity produced]
C. find the profit function [ Hint: profit is revenue minus total cost]
D. find the quantity that maximums profit.

A couple decides to buy a house which is currently valued at $318,921.46 on loan. The couple is willing to start paying $200.00 per month and are willing to increase their payment at a rate of 5% every month. How many payments are necessary to pay off the loan amount assuming no deposit was made (answer to the nearest whole number)? What is the value of the final payment that they would make assuming no deposit was made (answer to the nearest whole number)? [Hint: apply geometric sequences].

A loan of $1400 is due in 1 year at a simple interest rate of 12%. Partial payments of $400 in 2 months, $25 in 6 months, and $700 in 8 months are made

A. Construct a timeline clearly showing the timing of the debt and all repayments.

B. Determine the balance due at the end of the 12 months using the merchant rule

C. Determine the balance due at the end of the 8 months using the declining balance method

A loan of $1400 is due in 1 year at a simple interest rate of 12%. Partial payments of $400 in 2 months, $25 in 6 months, and $700 in 8 months are made A. Construct a timeline clearly showing the timing of the debt and all repayments. B. Determine the balance due at the end of the 12 months using the merchant rule C. Determine the balance due at the end of the 8 months using the declining balance method

You are buying a house and will be taking out a traditional 30-year home mortgage loan for $210,000.

(a) Plan A, with its APR=5.75%, below. Show work. (3 pts)

Monthly Payment = $


Total Paid = $

Set the Payment Frequency and Compounding Frequency both to 1. Choose an interest rate of 0.10 and an age of 30. Enter payment amount of $1000, $2000, $3000, $4000, and $5000. Note the amount that each investment grows to.
As the payment amount increases by $1000, does the amount that the investment grows to also increase at a uniform rate? Explain.
If the payment amount doubles, what happens to the final amount?
If the payment amount triples, what happens to the final amount?
Summarize the relationship between the payment amount and the final amount of the investment.

An invoice from a sporting goods store shows a net price of $8110. Terms are 4/10, n40. The invoice date is June 1. The invoice is paid on June 9.
What is the last day to take the discount? What is the last day to pay the invoice? How much will they pay when they pay the invoice on June 9th?

A couple decides to buy a house which is currently valued at $318,921.46 on loan. The couple is willing to start paying $200.00 per month and are willing to increase their payment at a rate of 5% every month. How many payments are necessary to pay off the loan amount assuming no deposit was made (answer to the nearest whole number)? What is the value of the final payment that they would make assuming no deposit was made (answer to the nearest whole number)?

A loan of #1400 is due in 1 year at a simple interest rate of 12%. Partial payments of $400 in 2 months, $25 in 6 months, and $700 in 8 months are made
A) construct a timeline clearly showing the timing of the debt and all repayments
B) determine the balance due at the end of the 12 months using merchant rule
C) determine the balance due at the end of 8 months using the declining balance method

A loan of $1400 is due in 1 year at a simple interest rate of 12%. Partial payments of $400 in 2 months, $25 in 6 months, and $700 in 8 months are made

A. Construct a timeline clearly showing the timing of the debt and all repayments.

B. Determine the balance due at the end of the 12 months using the merchant rule

C. Determine the balance due at the end of the 8 months using the declining balance method