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3 years ago

What amount needs to be invested today at 6% simple interest in order to have $4000 in 2 years?

1 answer:

4 0

Data:
A (amount) = ?
P (Principal) = $ 4000
r (rate) = 6% → 0.06
t (time) = 2 years

Formula:
$A = P(1+r*t)$

Solving:
$A = P(1+r*t)$
$A = 4000(1+0.06*2)$
$A = 4000(1+0.12)$
$A = 4000*1.12$
$\boxed{\boxed{A = \$\:4480}}\end{array}}\qquad\quad\checkmark$

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Raggs, Ltd. a clothing firm, determines that in order to sell x suits, the price per suit must be p=120 - 0.5 x. It also deter

kodGreya [7K]

Answer:

A) R(x) = 120x - 0.5x^2

B) P(x) = - 0.75x^2 + 120x - 2500

C) 80

D) 2300

E) 80

Explanation:

Given the following :

Price of suit 'x' :

p = 120 - 0.5x

Cost of producing 'x' suits :

C(x)=2500 + 0.25 x^2

A) calculate total revenue 'R(x)'

Total Revenue = price × total quantity sold, If total quantity sold = 'x'

R(x) = (120 - 0.5x) * x

R(x) = 120x - 0.5x^2

B) Total profit, 'p(x)'

Profit = Total revenue - Cost of production

P(x) = R(x) - C(x)

P(x) = (120x - 0.5x^2) - (2500 + 0.25x^2)

P(x) = 120x - 0.5x^2 - 2500 - 0.25x^2

P(x) = - 0.5x^2 - 0.25x^2 + 120x - 2500

P(x) = - 0.75x^2 + 120x - 2500

C) To maximize profit

Find the marginal profit 'p' (x)'

First derivative of p(x)

d/dx (p(x)) = - 2(0.75)x + 120

P'(x) = - 1.5x + 120

-1.5x + 120 = 0

-1.5x = - 120

x = 120 / 1.5

x = 80

D) maximum profit

P(x) = - 0.75x^2 + 120x - 2500

P(80) = - 0.75(80)^2 + 120(80) - 2500

= -0.75(6400) + 9600 - 2500

= -4800 + 9600 - 2500

= 2300

E) price per suit in other to maximize profit

P = 120 - 0.5x

P = 120 - 0.5(80)

P = 120 - 40

P = $80

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3 years ago

What is a career cluster

Nuetrik [128]

A group of careers that share common features.

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2 years ago

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Which of the following statements is true?

marissa [1.9K]

Answer: B) A)

Explanation:

This kind of method, direct write-off method is referring to your question and it is considering a method that is used for recognizing bad debts expenses that are coming from credit sales of someone's account. With this method there is no account that is considering allowance and receivable that is found on someones's account is written-off directly to expense when there is uncollectible account expense.

One of the greatest advantages is simplicity because those companies who are doing this method have to make only two transactions.

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3 years ago

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R. C. Barker makes purchasing decisions for his company. One product that he buys costs $50 per unit when the order quantity is

astra-53 [7]

Answer:

a. 300

d. 200

Explanation:

EOQ = $\sqrt{(2 * Annual demand * ordering cost) / holding cost } \\$

2 * 7500 * 30 / 0.5

EOQ = 948 units

When price is $48 per unit

EOQ = 968 units

Total cost = Holding cost + ordering cost + purchase cost

When the order is for 500 price is $48

Total cost = $2,400 + $30 + $24,000 = $26,430

When the order is for 300 price is $50

Total cost = $1,500 + $30 + $15,000 = $16,530

When the order is for 306 price is $50

Total cost = $1,530 + $30 + $15,300 = $16,860

When the order is for 200 price is $50

Total cost = $1,000 + $30 + $10,000 = $11,030

The best two possible order quantities are 200 and 300 which results in minimum total cost.

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2 years ago

Conduct research and create a 5 paragraph essay that explains how consumers can protect themselves from fraudulent and deceptive

snow_lady [41]

Answer: Reading the fine print: the producer would always make available fine print on their products which distinguishes them from other's, the consumer is expected to take note of that.

Explanation:

Fraudulent practise are being on the increase in business now, as many want to imitate firms and make gains out of their products. The following are what consumers can look out for to help them against this fraudulent practise.

1) Do not call list; the producer would make available how they can be reached and would want the consumer to reach them by such ways.

2) Reading the fine print: the producer would always make available fine print on their products which distinguishes them from other's, the consumer is expected to take note of that.

3) Terms and conditions: although this can be imitated but the producer has a unique way they would do theirs which the consumer should be aware of.

4) Personal information disclosures: when considering services, there will be need for releasing personal information, the customer should verify who they release information to.

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