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vlada-n [284]
2 years ago
15

Lesson 16 solve problems with equations answer key

SAT
1 answer:
iren [92.7K]2 years ago
4 0

Based on the calculations, the value of x and y in this equation are both equal to 5.

<h3>What is a system of linear equations?</h3>

A system of linear equations can be defined as an algebraic equation of the first order that has two (2) variables with each of its term having an exponent of one (1).

<u>Given the following data:</u>

x + y = 10  .....equation 1.

x = 5.       .....equation 2.

<h3>How to evaluate an equation.</h3>

In order to evaluate the given mathematical equation, we would substitute equation 2 into equation 1 as follows:

5+y=10\\\\y=10-5

y = 5.

Read more on equations here: brainly.com/question/13170908

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Monitors manufactured by TSI Electronics have life spans that have a normal distribution with a standard deviation of 1500 hours
FromTheMoon [43]

Answer:

0.2776

Explanation:

Mean = 15000, SD = 1500

We need to find Cumulative probability: P(X > 15884)

First we need to convert it into normal distribution.

From the attached file, we can see the shaded area we are looking for.

For conversion as follow; P (X>15884) =P ( X - mean > 15884-15000 ) =P (\frac{X- mean}{SD} > \frac{15884-15000}{1500} )

Next to find Z = \frac{X- mean}{SD} = 0.59

now we have converted to normal distribution and found the value of Z, we need to find the probability P(X > 15884).

P(X > 15884) = P(Z > 0.59).

From the normal distribution table at Z= 0.59, and greater than 0.59, Probability = 0.2776.

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Answer:a,c

Explanation:

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A wealthy man just died and left his pet dogs the following estate: $20,000 per year for the next 11 years with the first cash f
Andre45 [30]

The concept of present value lets us know that the doggy estate worth in today's dollars is $180614.80

<h3>What is the present value of the doggy estate worth?</h3>

The concept of present value is significant because it enables investors to determine whether the amount they pay for an investment is reasonable. The present value of a future cash flow defines how much it is worth in today's value.

From the given information:

  • The annual cashflow C = $20,000
  • Interest rate (i) = 4.2% = 0.042
  • Number of period (n) = 11

Thus, the present value of the doggy estate can be calculated by using the formula;
\mathbf{PV = C \times \Big [ \dfrac{1 - \dfrac{1}{(1+i)^n}}{i}\Big] \times (1+i)}

\mathbf{PV = 20000 \times \Big [ \dfrac{1 - \dfrac{1}{(1+0.042)^{11}}}{0.042}\Big] \times (1+0.042)}

PV = $180614.80


Learn more about how to calculate the Present value here:

brainly.com/question/15904086

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100 page script, (24,651 words).
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Why would high unemployment result in larger amounts of government transfer payments
dolphi86 [110]

Answer: Government transfer payment is a payment made for which no current or future goods or services are required in return. This ALSO includes unemployment insurance benefits. And the government has BEEN paying revenue in unemployment benefits before the pandemic. But due to Co vid

over 10million Americans are unemployed,in result they file for unemployment benefits, which leads to the government paying more revenue in unemployment benefits.

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