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ki77a [65]
3 years ago
13

"A borrower obtained a $10,000 term loan with 6 1/2% interest paid yearly. A $1,000 principal reduction was to be paid with each

yearly installment. What would be the amount of the principal and interest payment for the second year?
Business
1 answer:
aleksley [76]3 years ago
6 0

Answer:

$1585

Explanation:

Interest for the first year = 6.5% of principal due at the beginning of the year

= 6.5% of $10,000

= $ 650

Principal repayment at the end of the year = $1000

Principal due at the beginning of the second year = $10,000 - $1000= $9000

Interest payable at the end of the second year = 6.5% of principal outstanding at the beginning of the second year = 6.5% of 9000

                                                                            = $ 585

Principal repayment at the end of the second year = $1000

Hence total payment at the end of the second year = $1000 + $585= $1585

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An author just signed a lucrative contract with a publisher that offers to pay her the amount of $500 at the end of year 9 when
solong [7]

Answer:

Ans. The annuity that will be equivalent to the publisher´s advance would be $26.40 per year, for 9 years at 7% interest rate.

Explanation:

Hi, first, let´s bring that $500 to be paid in 9 years to present value, we need to use the following formula.

PresentValue=\frac{FutureValue}{(1+r)^{n} }

Where: r is our discount rate (7%) and n the periods from now when she will receive that $500 amount. This should look like this.

PresentValue=\frac{500}{(1+0.07)^{9} } =271.97

Ok, so the equivalent amount of money today of those $500 in nine years is $271.97, but the author wants $100 today so the remaining amount has to be used to find the equal annual payments to be made in order to be equivalent to re remaining balance ($171.97). We now need to use the following equation.

Present Value=\frac{A((1+r)^{n}-1 )}{r(1+r)^{n} }

And we solve for "A" like this

171.97=\frac{A((1+0.07)^{9}-1 )}{0.07(1+0.07)^{9} }

171.97=\frac{A(0.838459212 )}{0.128692145}

171.97=A(6.515232249)

A=\frac{171.97}{6.515232249} = 26.40

Therefore, the equivalent amount of money of $500 in 9 years is $100 today and $26.40 every year, at the end of the year, for nine years.

Best of luck.

4 0
3 years ago
In economics, if a good is inelastic
IRISSAK [1]

Explanation:

Let us understand the term what is elastic & "inelastic".

Elastic: It is the change in the behavior of the buyer & the seller when the product price changes.

Elastic goods will always have an substitute.

Example: Books, pencil, Notebook, bread, etc,

Inelastic means: This is opposite of elastic. There will be same number of buyers when the price goes up or down.

Whether the price gets raise or lower daily we need food. So food is inelastic.

Eg.  food, prescription drugs, and tobacco products

6 0
2 years ago
Ramort Company reports the following cost data for its single product. The company regularly sells 20,000 units of its product a
kotykmax [81]

Answer:

Contribution margin per unit= $33

Explanation:

Giving the following information:

The company regularly sells 20,000 units of its product for <u>$60 per unit. </u>

<u>Direct materials $ 10 per unit </u>

<u>Direct labor $ 12 per unit</u>

<u>Overhead costs for the year Variable overhead $ 3 per unit </u>

Fixed overhead per year $ 40,000

Selling and administrative costs:

<u>Variable $ 2 per unit </u>

Fixed $ 65,200

Normal production level= 20,000 units

Contribution margin= Selling price - unitary variable costs

Unitary variable cost= direct materials + direct labor + variable manufacturing overhead + variable selling and administrative

Unitary variable cost= 10 + 12 + 3 + 2= $27

Contribution margin per unit= 60 - 27= $33

3 0
3 years ago
For firms like Target and Walmart, competition
liubo4ka [24]

Answer:

The correct answer is D

Explanation:

Competition is the term which is described as the rivalry among companies selling the similar products and the services in order to achieve or accomplish the market share growth, revenue and profit.

The competition among the business is a contest or the rivalry among the firms or organization to win the revenue. It is the fundamental force, that benefits or advantage the customers as the firms are under the pressure in order to improve the products and also provide or offer the attractive prices.

4 0
2 years ago
When calculating the marginal revenue and marginal profit in this problem, use the approach given for the marginal cost and marg
Elena-2011 [213]

The question is incomplete. The complete question is :

A manufacturer of mountain bikes has the following marginal cost function:

                                           $C'(q)=\frac{700}{0.7q+8}$

where q is the quantity of bicycles produced.

When calculating the marginal revenue and marginal profit in this problem, use the approach given for the marginal cost and marginal revenue in the discussions in your textbook.

a) If the fixed cost in producing the bicycles is $2800, find the total cost to produce 30 bicycles?

b) If the bikes are sold for $200 each, what is the profit (or loss) on the first 30 bikes?

Solution :

Given :

$C'(q)=\frac{700}{0.7q+8}$

a). Fixed cost, FC = $ 2800

Total cost to produce 30 bicycles is :

 $C = 2800 + \int_0^{30} C'(q) \ dq$

      $ = 2800 + \int_0^{30} \frac{700}{0.7q+8} \ dq$

     $= 2800+700\left[\frac{\ln (0.7q+8)}{0.7}\right]^{30}_0$

     $=2800+1000[\ln ((0.7 \times 30)+8)- \ln 8 ]$

     $= 2800 +1000 [\ln 29 - \ln 8]$

    = 2800 + 1287.85

    = $ 4087.85

b). Total selling price = $ (200 x 30)

                                   = $ 6000

    Profit  =  6000 - 4087.85

                = $ 1912.15

     

3 0
3 years ago
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