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Savatey [412]
2 years ago
5

You have decided to purchase a new Toyota 4Runner for $25,635. You have promised your daughter that the SUV will be hers when th

e car is worth $10,000. According to your car dealer, the SUV will depreciate in value approximately $3000 per year.
a) Write a linear equation in which y represents the total value of the car and x represents the age of the car,
Mathematics
1 answer:
-Dominant- [34]2 years ago
5 0

Ok so our two variables will be:

x=age y=price

Our equation is:

y= -3000x + $25,635


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Which graph shows the solution set of the compound inequality 1.5 x minus 1 greater-than 6.5 or 7 x + 3 less-than negative 25?
saul85 [17]

Answer:

After solving the compound inequality 1.5x-1>6.5 \ or \ 7x+3 we get \mathbf{x>5 \ or \ x

Option B is correct.

Step-by-step explanation:

We are given compound inequality: 1.5x-1>6.5 \ or \ 7x+3

We will first solve the inequalities to find the value of x, then will draw the graph.

1.5x-1>6.5 \ or \ 7x+36.5+1 \ or \ 7x+3-37.5 \ or \ 7x\frac{7.5}{1.5} \ or \ x5 \ or \ x< -4

So, after solving the compound inequality 1.5x-1>6.5 \ or \ 7x+3 we get \mathbf{x>5 \ or \ x

Now, the number line will be as shown in figure.

The description as given in options is:

A number line goes from negative 10 to positive 10. An open circle appears at negative 4 and positive 5. The number line is shaded from negative 4 toward negative 10. The number line is also shaded from positive 5 toward positive 10.

so, Option B is correct.

5 0
1 year ago
Read 2 more answers
Find the quotient. (3.683 × 104) (7.51 × 1012) What is the solution in scientific notation?
olasank [31]

Answer:

B

Step-by-step explanation:

\frac{3.683 \times 10^4}{7.51 \times 10^{12}} \\=\frac{36.83 \times 10^3}{7.51 \times 10^{12}} \\=\frac{36.83}{7.51} \times 10^{3-12}\\ \approx 4.9041 \times 10^{-9}

6 0
1 year ago
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A grocer has 2 kinds of tea, one that sells for $8.00 per pound and the other that sells for $6.00 per pound. How many pounds of
Brilliant_brown [7]

Answer:

35 pounds of $8.00 tea and 15 pounds of $6.00 tea

Step-by-step explanation:

Let x represent the pounds of tea of the $8 kind. 8x would represent the total cost of that type of tea. We can also say 50 - x is the pounds of tea of the $6 kind, so 6(50 - x) is the total cost of that type of tea. 50 * 7.4 represents the total cost of all the tea, and the expression 8x + 6(50 -x) would also represent the same thing. We can write this as an equation,

8x + 6(50 -x) = 50 * 7.4

simplify,

8x + 300 - 6x = 370

2x + 300 = 370

and solve.

2x = 70

x = 35

This means there is 35 pounds of the $8 kind.

We can subtract that from 50 to find,

50 - 35 = 15,

15 pounds is the amount of the $6 kind.

3 0
1 year ago
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Ephemeral services corporation (esco) knows that nine other companies besides esco are bidding for a $900,000 government contrac
EastWind [94]

Answer:

c. $100,000

Step-by-step explanation:

Calculation of the expected net profit of Ephemeral services corporation

Since we are been told that 9 other companies besides esco are as well bidding for the $900,000 government contract, it means we have to find the expected net profit by dividing 1 by 9×$900,000 .Thus ESCO can only expect to cover its sunk cost.

Hence ,

E(X) = (1/9) × $900,000

E(X)=0.111111111×$900,000

E(X)= $100,000

Therefore the expected net profit would be $100,000

4 0
1 year ago
The mean gross annual incomes of certified welders are normally distributed with the mean of $20,000 and a standard deviation of
grandymaker [24]

Answer:

At the 0.10 level of significance the z table gives critical values of -1.645 and 1.645 for two-tailed test.

Step-by-step explanation:

We are given that the mean gross annual incomes of certified welders are normally distributed with the mean of $20,000 and a standard deviation of $2,000.

The ship building association wishes to find out whether their welders earn more or less than $20,000 annually.

<u><em>Let </em></u>\mu<u><em> = mean gross annual incomes of certified welders</em></u>

So, Null Hypothesis, H_0 : \mu = $20,000    

Alternate hypothesis, H_A : \mu \neq $20,000

Here, null hypothesis states that the mean income of welders is equal to $20,000.

On the other hand, alternate hypothesis states that the mean income of welders is not $20,000.

Also, the test statistics that would be used here is <u>One-sample z test</u> <u>statistics</u> as we know about the population standard deviation;

                              T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean income

            \sigma = population standard deviation = $2,000

            n = sample size

Now, at the 0.10 level of significance the z table gives critical values of -1.645 and 1.645 for two-tailed test.

3 0
2 years ago
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