Answer:
A) $38,650; 48.31%
Explanation:
The computation of the contribution margin and the contribution margin ratio is shown below:
Contribution margin = Service Revenue - Cleaning Supplies Used - wages expense
= $80,000 - $22,000 - $19,350
= $38,650
The variable cost is Cleaning Supplies Used + wages expense
And, the contribution margin ratio equals to
= (Contribution margin ÷ sales) × 100
= ($38,650 ÷ $80,000) × 100
= 48.31%
Answer:
the amount of money that must be invested now is $21068.87
Explanation:
Given that:
Nominal interest = 10%
Annuity = 7000
n = 8 years
The Effective interest rate is calculated by using the formula:
Effective interest rate =
Effective interest rate =
Effective interest rate = 0.1045
Effective interest rate = 10.45 %
Thus ; the the amount of money that must be invested now is the present value with the annuity of $7, 000 per year for 12 years, starting eight years from now.
PV = 7000 × 6.666056912 × 0.4515171371
PV = $21068.87
Thus; the amount of money that must be invested now is $21068.87
To determine the required investment, the present value of the annuity starting 8 years from now should be calculated first and then its present value is computed today. This involves understanding the principles of simple and compound interest and applying their formulas accordingly.
In order to determine the amount of money that must be invested now at 10% nominal interest, compounded monthly, to provide an annuity of $7,000 per year for 12 years starting eight years from now, first, we have to calculate the present value of the annuity 8 years from now. We achieve this by using the formula for the present value of an annuity.
Later, we calculate the present value of that amount today. Then we employ the formula of present value in a situation where the compound interest is involved. Compound interest is an interest rate calculation on the amount deposited plus the accumulated interest so far.
This can be generally calculated by determining the difference between the future value and the present value of the amount deposited. In essence, the two major factors in this calculation are the understanding of the simple interest and compound interest, and using the formulae properly.
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They should have a different design than the business card.
They provide the contact information for a business.
They are seldom needed in small organizations.
Business cards and letterheads should be of similar design.
They have the same information as a business card.
Answer:
B- They provide the contact information for a business.
E- Business cards and letterheads should be of similar design
Explanation:
A letterhead is the heading found at the top of a paper and it usually includes the name of the organization, the logo and the contact information. The letterheads help to provide a professional image and consistency should be maintain in all the business stationery. According to that, the answer is that the two statements that describe letterheads are: they provide the contact information for a business and business cards and letterheads should be of similar design.
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Answer:
The odds of being murder victims among nob white males are 5.485 times as compared to white males.
Explanation:
See attachment for explanation.
Answer:
The amount that should be in its savings account is $40,554.48.
Explanation:
To calculate this, formula for calculating the present value of an ordinary annuity is employed as follows:
PV = P * [{1 - [1 / (1 + r)]^n} / r] …………………………………. (1)
Where;
PV = Present value of or amount in the saving =?
P = yearly scholarship payment = $5,000
r = interest rate = 4%, 0.04
n = number of years = 10
Substitute the values into equation (1) to have:
PV = $5,000 * [{1 - [1 / (1 + 0.04)]^10} / 0.04]
PV = $5,000 * [{1 - [1 / 1.04]^10} / 0.04]
PV = $5,000 * [{1 - 0.961538461538461^10} / 0.04]
PV = $5,000 * [{1 - 0.675564168825795} / 0.04]
PV = $5,000 * [0.324435831174205 / 0.04]
PV = $5,000 * 8.11089577935512
PV = $40,554.48
Therefore, the amount that should be in its savings account is $40,554.48.
The present value of an annuity formula can be used to determine the amount needed in the savings account.
To determine how much should be in its savings account to fund one $5,000 scholarship each year for the next 10 years, we can use the formula for the present value of an annuity. The formula is:
PV = PMT * ((1 - (1 + r)^(-n)) / r)
Where PV is the present value, PMT is the payment amount, r is the interest rate, and n is the number of periods. In this case, the payment amount is $5,000, the interest rate is 4% (or 0.04), and the number of periods is 10. Plugging these values into the formula, we get:
PV = $5,000 * ((1 - (1 + 0.04)^(-10)) / 0.04) = $42,179.84
Therefore, North Carolina State University's Irwin College of Engineering should have $42,179.84 in its savings account to fund one $5,000 scholarship each year for the next 10 years.
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Answer:
Current intrinsic value - equity = $1155.56
Explanation:
FCFE or Free cashflow to equity is the free cash flow attributable to the equity holders. Using the constant growth model of FCFE we can calculate the intrinsic value of the equity or intrinsic value per share. The formula for the constant growth model is as follows,
Value of equity = FCFE0 * (1+g) / (r - g)
Where,
Current intrinsic value - equity = 100 * (1+0.04) / (0.13 - 0.04)
Current intrinsic value - equity = $1155.56
Answer:
The NPV of the project at 8.7 percent will be 4,802.58
Explanation:
We will calcualte the present value of the cash inflow:
year 3:
Inflow 11,900.00
time 3.00
rate 0.087
PV 9,265.28
Year 4:
Inflow 11,900.00
time 4.00
rate 0.087
PV 8,523.71
Year 6:
Inflow 50,500.00
time 6.00
rate 0.087
PV 30,613.58
Then, we will add them together and subtract the investment amount
NPV: 30,613.59 + 8,523.71 + 9,265.28 - 43,600 = 4,802.58