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1 month ago

After a 5% pay raise , Hermione is earning $21,000 per year. What was she earning before the pay raise?

Mathematics

1 answer:

zzz [12.3K]1 month ago

7 0

Answer:

$\$20,000$

Explanation step-by-step:

Let

x represent Hermione's salary prior to the raise

Given:

$100\%+5\%=105\%=105/100=1.05$

Therefore, the equation that expresses this relationship is

$1.05x=21,000$

To find x, divide both sides by 1.05:

$x=21,000/1.05$

$x=\$20,000$

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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)

lawyer [12517]

Answer:

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Step-by-step explanation:

Details: The cardiac output is assessed using the dye dilution technique with 3 mg of dye.

Goal: To determine the cardiac output value.

Solution:

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

A = 3 mg

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

Utilize integration by parts

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

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

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

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

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

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

Insert the value into 1

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

Cardiac output: $F=0.055 L\s$

Consequently, Cardiac output: $F=0.055 L\s$

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1 month ago

each day last week I sold 32, 45, 47, 63 and 72 product accessories. What was the median number of accessories sold for the week

AnnZ [12381]

Answer:

The median value is 47.

Step-by-step explanation:

First, organize the numbers in ascending order.

The median's position is calculated as ((N+1)÷2)th term, where N is the amount of data.

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2 months ago

A tooth-whitening gel is to be tested for effectiveness. A group of 85 adults have volunteered to participate in the study. Of t

babunello [11817]

Response:

(a) 3, 5, and 6

Detailed explanation:

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1 month ago

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Zina [12379]

Answer:

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A diagram has been provided.

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CB does not align with line n since points C and B do not lie on that line.

Thus, this statement is false.

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This statement is accurate.

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A ray begins at a single point and continues indefinitely without a terminal point.

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This statement is therefore false.

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lawyer [12517]

Try this method:
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1 month ago

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