1. A $642,000 property is depreciated for tax functions by its proprietor with the straight-line depreciation technique. The worth of the constructing, y, after x months of use is given by y = 642,000 − 1800x dollars. After what number of months will the worth of the constructing be $393,600?
1. x = ________ months
2. Excessive rates of interest make it tough for individuals to repay bank card debt in an affordable time frame. The curiosity I (in dollars) paid on a $10,000 debt over three years when the rate of interest is r% may be approximated by the equation proven under.
I/175.393 + zero.663 =r If the bank card rate of interest is 15.eight%, discover the quantity of curiosity paid in the course of the three years.
1. I = $_________
three. Burnem Inc. manufactures thumb drives and sells them to a distributor. Burnem’s complete value and complete income (in dollars) for x thumb drives are given by the next equations.
Complete value = 5x + 4480 and Complete income = 15x What number of thumb drives should Burnem promote to interrupt even?
1. x = ___________ thumb drives
four. Utilizing information from 2010 and projected to 2020, the inhabitants of the UK (y, in hundreds of thousands) may be approximated by the equation
10.0y − four.55x = 581 1. What’s the projected inhabitants in 2022? y= ___________ 2. In what yr is the inhabitants predicted to be 67.2 million? _____________
5. Disposable earnings, the quantity left after taxes have been paid, is one measure of the well being of the financial system. Utilizing U.S. Power Data Administration information for chosen years from 2015 and projected to 2040, the U.S. actual disposable earnings per capita (in dollars) may be approximated by the equation
I = 707.6t + 39,090 the place t is the variety of years after 2015.
1. What t-value corresponds to 2025? t= _________ 2. Discover the anticipated U.S. per capita actual disposable earnings (to the closest $10)
in 2025. $_____________ three. In what yr is the U.S. per capita actual disposable earnings anticipated to exceed
$55,000? ___________ 6. A linear income perform is R = 38x. (Assume R is measured in dollars.)
1. What’s the slope m? m = _______ 2. What’s the marginal income MR ? MR =______
three. What’s the income acquired from promoting another merchandise if 50 are at the moment being bought? ______________
four. What’s the income acquired from promoting another merchandise if 100 are being bought? _________________
7. A linear income perform is R = 38.69x. 1. What’s the slope m? m =__________ 2. What’s the marginal income MR? MR =_______ three. What’s the income acquired from promoting another merchandise if 46 are at the moment being
bought? ____________ four. What’s the income acquired from promoting another merchandise if 81 are being bought?
_______________
eight. Let C(x) = 3x + 650 and R(x) = 28x. 1. Write the revenue perform P(x). P(x) = ____________ 2. What’s the slope m of the revenue perform? m =__________ three. What’s the marginal revenue MP ? MP = __________
9. Excessive Safety, Inc. manufactures helmets for snowboarding and snowboarding. The fastened prices for one mannequin of helmet are $5500 per 30 days. Supplies and labor for every helmet of this mannequin are $20, and the corporate sells this helmet to sellers for $40 every. (Let x characterize the variety of helmets bought. Let C, R, and P be measured in dollars.)
1. For this helmet, write the perform for month-to-month complete prices C(x). C(x) = ___________
2. Write the perform for complete income R(x). R(x) = ____________
three. Write the perform for revenue P(x). P(x) = ____________
four. Discover C(200). C(200) = ____________
5. Discover R(200). R(200) = ___________
6. Discover P(200). P(200) = ____________
7. Discover C(300). eight. C(300) = __________ 9. Discover R(300).
R(300) = __________ 10. Discover P(300).
R(300) = __________ 11. Discover the marginal revenue MP. MP = ________
10. A jewellery maker incurs prices for a necklace based on C(x) = 39x + 1650.
If the income perform for the necklaces is R(x) = 69x
What number of necklaces have to be bought to interrupt even? ___________ necklaces
11. A producer sells belts for $15 per unit. The fastened prices are $2500 per 30 days, and the variable value per unit is $10.
Write the equations of the income R(x) and price C(x) capabilities.
R(x) = _______________
C(x) = _______________
Discover the break-even level. It takes _______ models to interrupt even.
12. Digital tools producer Dynamo Electrical, Inc. makes a number of kinds of surge protectors. Their base mannequin surge protector has month-to-month fastened prices of $1275. This explicit mannequin wholesales for $11 every and prices $three.50 per unit to fabricate. Write the perform for Dynamo’s month-to-month complete prices.
C(x) =___________
Write the perform for Dynamo’s month-to-month complete income.
R(x) = _____________
Write the perform for Dynamo’s month-to-month revenue.
P(x) = ______________
Discover the variety of one of these surge protector that Dynamo should produce and promote every month to interrupt even.
___________ surge protectors
1. The proprietor of a $642,000 property makes use of the straight-line depreciation method to depreciate it for tax functions. The constructing’s worth, y, after x months of use is given by y = 642,000 1800x dollars. In what number of months will the constructing’s worth be $393,600?
1. x months = months
2. Individuals discover it tough to repay bank card debt in a good period of time as a result of excessive rates of interest. The equation under can approximate the curiosity I (in dollars) paid on a $10,000 debt over three years when the rate of interest is r %.
r = I/175.393 + zero.663 Decide the quantity of curiosity paid over the course of three years if the bank card rate of interest is 15.eight %.
1. I’m $
three. Brunem
