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Alex787 [66]
3 years ago
10

A company needs to have $135,000 in 5 years, and will create a fund to insure that the $135,000 will be available. If it can ear

n a 6% return compounded annually, how much must the company invest in the fund today to equal the $135,000 at the end of 5 years?
Business
1 answer:
Papessa [141]3 years ago
6 0

Answer:

The company must invest $ 100,879.85 ( approx )

Explanation:

Let P be the invested amount,

The annul rate, r = 6% = 0.06,

Number of years, t = 5 years,

Thus, the total amount after 5 years,

A=P(1+r)^t

A = P(1+0.06)^5

A=P(1.06)^5

We have, A = $135,000,

135000=P(1.06)^5

\implies P =\frac{135000}{(1.06)^5}=100879.85   ( Using calculator )

Hence, company must invest $ 100,879.85 ( approx )

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JT Inc. produces gourmet frozen dinners for the airline industry. JT has fixed costs of $200,000 and variable costs of $8 per fr
nadezda [96]

Answer:

The operating profit for this year amounts to $ 550,000

Explanation:

Operating Profit is computed below as:

Operating Profit = Revenue - Expense (Fixed Cost + Variable Cost)

                           = $1,950,000 - ($200,000 + $1,200,000)

                           = $1,950,000 - $1,400,000

                          = $550,000

Revenue = Number of frozen dinners × Selling Price

               = 150,000 × $13

               = $1,950,000

Variable Cost = Number of frozen dinners × Cost per frozen dinner

                       = 150,000 ×  $8

                       = $1,200,000

6 0
3 years ago
Biologists want to know how many fish are in a certain lake. on january 1, they removed 600 fish from the lake and tagged them.
Alenkasestr [34]
Biologists collected a random sample of 850 fish and 25 of them had been previously tagged. 850 : 25 = 34. It means that about 1/34 of all the fishes in the lake had been tagged. Therefore 600 * 34 = 20,400.
Answer: Based on this experiment, in the lake lives 20,400 fishes.
5 0
3 years ago
If sales are $904,000 in 2019 and this represents a 13% increase over sales in 2018, what were sales in 2018?
Allisa [31]
<span>The sales in 2018 will be $800,000. Let the sales in 2018 be x and 13% increase shows 1.13x and the calculation will be done by dividing 904000 with 1.13 and the answer will be 800000. This is simple calculation as the question is showing that the sales in 2018 were less so that answer is also checked.</span>
3 0
2 years ago
Read 2 more answers
Michael company issued 8% bonds with a par value of 1,000,000 receiving 20,000 premium on the interest date 5 years later, after
sattari [20]

Answer:

option D - $22,000 gain

Explanation:

the gain can be calculated by using the following relation

Face Value + Unamortized Premium - Purchase Price = gain

where,

Face Value - $1,000,000

 Unamortized Premium - 60% x $20,000

Purchase Price - 99% x $1,000,000

putting all value to get gain or loss on the retirement

= $1,000,000 + (60% x $20,000) - (99% x $1,000,000)

=  $22,000 gain

6 0
3 years ago
59. A poultry rancher discovered that when she increased the price of organic eggs from $0.75 to $1.00 per dozen, the sales of h
oee [108]

Answer:

PED = -1.4 or |1.4| in absolute values, price elastic

Explanation:

the price elasticity of demand (PED) using the midpoint method:

PED = % change in quantity / % change in price

  • % change in quantity = {(Q 2 − Q1 ) / [(Q2 + Q1)/2]} x 100 = {(200 − 300 ) / [(200 + 300)/2]} x 100 =  -100 / 250 = -0.4
  • % change in price = {(P2 − P1 ) / [(P2 + P1)/2]} x 100 = {(1 − 0.75 ) / [(1 + 0.75)/2]} x 100 = 0.286

PED = -0.4 / 0.286 = -1.4 or |1.4| in absolute values

5 0
3 years ago
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