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crimeas
10 days ago
14

Enzel goes online to buy a graphing calculator. He finds a site that currently has a promotion of 15% off on all orders over $50

. Enzel decides to buy his graphing calculator, with a price tag of $83, at this site because he knows that he will get the 15% discount when he checks out. Enzel pays 4.5% sales tax on the discounted price and pays a shipping fee of $6.35. What is the total of Enzel’s online purchase?
Mathematics
2 answers:
babunello [8.4K]10 days ago
8 0

In order to determine the reduced price, we'll first need to calculate it. For a percentage decrease, we apply the following formula:

(1 - p)m

  • (p = percentage in decimal format and m = original value)
  • In our instance:

Once we've established the discounted amount, we need to add the 4.5% sales tax, which will require using this formula for a percentage increase:

15\% = 0.15\\\\(1-0.15)*83\\0.85*83\\70.55(1 + p)m

In this situation:

  • Finally, we'll combine the shipping costs:

4.5\%=0.045\\\\(1+0.045)*73.55\\1.045*70.55\\73.72Response

Enzel's total expenditure amounts to $80.07.73.72+6.35=80.07

Zina [9.1K]10 days ago
3 0

Response:

A) $80.07

Detailed explanation:

for those who prefer not to engage in learning:)

ED2020

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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 [9240]

Answer:

Cardiac output:F=0.055 L\s

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

4 0
18 days ago
Find a vector parametrization of the ellipse centered at the origin in the xy-plane that has major diameter 8 along the x-axis,
zzz [9080]

Answer:

E(t) = [ 4cos(t), 2 sin(t) ]

Step-by-step explanation:

The equation for the ellipse can be represented as:

 (x² ÷ a² ) + (y² ÷ b² ) = 1    Here, a and b symbolize the semi-major and semi-minor axes.

In this specific instance, we have    x²/16 + y²/ 4 = 1

This expression indicates that it follows the form of (x/a)² + (y/b)² =1

Specifically in our case,    x²/16  + y²/4 = 1, which resembles                 sin²α + cos²α = 1.

By setting x = 4 cos(t), we can proceed to calculate y.

Utilizing the equation x²/16  + y²/4 = 1, we find that:

x²/16  + y²/4 = 1   ⇒    (x²  +  4y²) ÷ 16  = 1

Solving for y yields: (x²  +  4y²)  = 16    ⇒  y²  = ( 16 - x²) ÷4

Substituting x = 4 cos(t) gives us y²  =  (16 - 16cos²(t)) ÷ 4, leading to y = √4 (1 - cos²(t)).

Consequently, we have y = 2 sin(t).

Thus, the vector parameterization of the ellipse can be stated as:

E(t) = [ 4cos(t), 2 sin(t) ]

3 0
28 days ago
A tobacco company claims that the amount of nicotine in its cigarettes is a randomvariable with mean 2.2 mg and standard deviati
PIT_PIT [9117]

Response:

0.0000

Unusual

To explain step-by-step:

A tobacco company asserts that the nicotine content in its cigarettes behaves as a random variable with a mean of 2.2 mg and a standard deviation of.3 mg.

This means the population parameters are

\mu =2.2 \\s = 0.3

The likelihood that the sample average would equal or exceed 3.1

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equals 0.0000

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4/9 divided by what equals 12?<br> :)
Inessa [9000]

Answer:

To solve (4/9)/x = 12, multiply both sides by x to get (4/9) = 12x. Then, divide both sides by 12. The answer is 27.

I hope this is helpful!

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