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4 years ago

Find unit cost if a store sells a dozen eggs for $1.99

Mathematics

2 answers:

Ray Of Light [21]4 years ago

7 0

Answer:

The unit cost is $ 0.1658

Step-by-step explanation:

1 dozen = 12

We can simply use proportion to solve this problem;

Let x =the cost of 1 egg

12 eggs = $1.99

1 egg = x

Cross-multiply

12x = $1.99

Divide both-side of the equation by 12 to get the value of x

12x/12 = $1.99/12

(At the left-hand side of the equation, the 12 on the numerator will divide the 12 on the denominator leaving us with just x, while at the right-hand side of the equation, 1.99 will be divided by 12)

x = $ 1.99/12

x = $ 0.1658

Therefore the unit cost of an egg is $ 0.1658

trapecia [35]4 years ago

3 0

This question asks for what one egg costs. We need to know that there are 12 eggs in a dozen. We can find our unit cost buy doing
$\frac{1.99}{12}$ . This equals to $.16583333...$ We could round this too the nearest hundredth to get our answer. This will be
.17

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Merry Soy, married, earns a weekly salary of $830 and claims one withholding allowance. By the percentage method, how much incom

xxMikexx [17]

You need to find the amount subject to withholding, subtracting from the weekly salary the amount for one withholding allowance for weekly salaries, which is 77.90$:

830 - 77.90 = 752.1 $.

Then, look in the Fed Tax tables (
http://www.opers.ok.gov/Websites/opers/images/pdfs/2016-Fed-Tax-Tables.pdf ) for a married person with a weekly payroll.

You previously found an amount of 752.1 which is greater than 521 but less than 1613$: therefore the income tax to withhold is 35.70$ + 15% of excess over $521.

Therefore, calculate the income tax due: 35.70 + (752.1 - 521) × 15 ÷ 100 = 70.37$

The total amount of income tax that will be withheld is 70.37$

4 0

3 years ago

The dye dilution method is used to measure cardiac output with 3 mg of dye. The dye concentrations, in mg/L, are modeled by c(t)

Lemur [1.5K]

Answer:

Cardiac output: $F=0.055 L\s$

Step-by-step explanation:

Given : The dye dilution method is used to measure cardiac output with 3 mg of dye.

To Find : Find the cardiac output.

Solution:

Formula of cardiac output: $F=\frac{A}{\int\limits^T_0 {c(t)} \, dt}$ ---1

A = 3 mg

$\int\limits^T_0 {c(t)} \, dt =\int\limits^{10}_0 {20te^{-0.06t}} \, dt$

Do, integration by parts

$[\int{20te^{-0.6t}} \, dt]^{10}_0=[20t\int{e^{-0.6t} \,dt}-\int[\frac{d[20t]}{dt}\int {e^{-0.6t} \, dt]dt]^{10}_0$

$[\int{20te^{-0.6t}} \, dt]^{10}_0=[\frac{-20te^{-0.6t}}{0.6}+\frac{20}{0.6}\int {e^{-0.6t} \,dt]^{10}_0$

$[\int{20te^{-0.6t}} \, dt]^{10}_0=[\frac{-20te^{-0.6t}}{0.6}+\frac{20e^{-0.6t}}{(0.6)^2}]^{10}_{0}$

$[\int{20te^{-0.6t}} \, dt]^{10}_0=[\frac{-200e^{-6}}{0.6}+\frac{20e^{-6}}{(0.6)^2}]+\frac{20}{(0.60^2}$

$[\int{20te^{-0.6t}} \, dt]^{10}_0=\frac{20(1-e^{-6}}{(0.6)^2}-\frac{200e^{-6}}{0.6}$

$[\int{20te^{-0.6t}} \, dt]^{10}_0\sim {54.49}$

Substitute the value in 1

Cardiac output: $F=\frac{3}{54.49}$

Cardiac output: $F=0.055 L\s$

Hence Cardiac output: $F=0.055 L\s$

4 0

3 years ago

How many solutions does 3 - 2x = 5 - x + 3 + 4x have?

vitfil [10]

Well let's see.

$3-2x=5-x+3+4x \\3-2x=8+3x \\-5x=5 \\x=-1 \\$

The equation has exactly one solution.

Hope this helps.

5 0

3 years ago

It is known that a cable with a cross-sectional area of 0.300.30 sq in. has a capacity to hold 2500 lb. If the capacity of the

vesna_86 [32]

Answer:

0.84 square in

Step-by-step explanation:

Since the capacity of the cable is proportional to its cross-sectional area. If a cable that is 0.3 sq in can hold 2500 lb then per square inch it can hold

2500 / 0.3 = 8333.33 lb/in

To old 7000 lb it the cross-sectional area would need to be

7000 / 8333.33 = 0.84 square in

5 0

3 years ago

Read 2 more answers

Write the elements belonging to the set {x|x is a natural number less than 10

Feliz [49]

Answer:

The set A = { 1,2,3,4,5,6,7,8,9}

Step-by-step explanation:

Step(i):-

Given that the set

{ x/x/ is a natural number less than 10 }

Natural numbers :

The natural numbers are

{ 1,2,3,4,5,6,7,8,9,10,.........}

The set A = { x/x/ is a natural number less than 10 }

The set A = { 1,2,3,4,5,6,7,8,9}

4 0

3 years ago