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Zanzabum
3 years ago
5

When you receive a loan to make a purchase, you often must make a down payment in cash. The amount of the loan is the purchase c

ost minus the down payment. Riva made a down payment of $1500 on a used car. She received a loan of $2600. Write and solve an equation to find the cost of the car.
Mathematics
1 answer:
emmainna [20.7K]3 years ago
6 0
Summarizing the problem, there are three terms that you have to deal with: purchasing cost, down payment and loan. So, you would expect that the answer would contain these quantities. Among them, the unknown is the purchasing cost, therefore, we denote this as x. 

<span>Based on the statement, "The amount of the loan is the purchase cost minus the down payment", we can formulate an equation for this. 

Amount of Loan = x - Down payment

This will be our working equation. Moving on, the down payment was mentioned to be equal to </span>$1500. The lean received is equal to <span>$2600. Substituting these values to the working equation, we can now determine the value of x.

2600 = x - 1500

Solving for x by transposing it to one side,

x = 2600-1500
x = $1,100

Therefore, the purchasing cost of the car is $1,100.</span>
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Suppose you are asked to take a sample of men and women in order to measure their emotional IQ. The emotional IQ scale that you
yan [13]

Answer:

The 99% confidence interval for the scores of men is (64.406,75.594).

The 99% confidence interval for the scores of women is (73.609,90.391).

Step-by-step explanation:

We have the standard deviations for the sample, which means that the t-distribution will be used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 25 - 1 = 24

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.797.

For men:

Standard deviation of 10.

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.797\frac{10}{\sqrt{25}} = 5.594

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 70 - 5.594 = 64.406

The upper end of the interval is the sample mean added to M. So it is 70 + 5.594 = 75.594

The 99% confidence interval for the scores of men is (64.406,75.594).

For women:

Standard deviation of 15.

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.797\frac{15}{\sqrt{25}} = 8.391

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 82 - 8.391 = 73.609

The upper end of the interval is the sample mean added to M. So it is 82 + 8.391 = 90.391

The 99% confidence interval for the scores of women is (73.609,90.391).

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2 years ago
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kiruha [24]
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3 years ago
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Answer:

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2 years ago
1/2x - 4 = 1/3x + 5​
Mamont248 [21]

Answer:

X = 54

Step-by-step explanation:

Let's solve your equation step-by-step.

1/2x−4=1/3x+5

Step 1: Subtract 1/3x from both sides.

1/2x−4−1/3x=1/3x+5−1/3x

1/6x−4=5

Step 2: Add 4 to both sides.

1/6x−4+4=5+4

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Step 3: Multiply both sides by 6.

6*(1/6x)=(6)*(9)

x=54

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3 years ago
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