-7 times -8? -40 divided by 10?

The area of a rectangle with width x and length 6x and 6x^2. What does the coefficient 6 mean in terms of the problem?

sveta [45]

Answer:

The coefficient 6 in 6x means 6(x) or 6 multiplied by x 6 times.

Step-by-step explanation:

X could be anything, it is only holding the place of a number. The coefficient 6 before the x is a number being multiplied by the unknown variable, x. For example if x = 2 the expression would turn into 6(2) which equals 12.

Hope this helps! If you have any other questions please don't hesitate to ask me or your teacher so you can be sure to master the subject. :)

6 0

3 years ago

Oh, boy! Look at that monthly payment from Question 2 above! Molly cannot afford the monthly payment using the 0% financing. She

viktelen [127]

The car payment plan that has an APR of 1.9% is, on the short term, pocket

friendly.

The correct responses are;

First part: The amount of loan Molly needs is $22,495

Second part: Molly's monthly payment will be approximately $286.2

Third part: The total interest Molly will pay using the plan is approximately $1,545.8

Fourth part: The amount the car costs Molly using the plan is approximately $26,540.8

Reasons:

The question parameters are;

Molly is comparing Auto Loans on Jeep website

Selling price of the Jeep, P = $25,495

The down payment Molly has = $2,500

The Cash Allowance = $500

Number of months of payment, n = 84 months

The Annual Percentage Rate, APR, r = 1.9%

First Part:

Loan needed = $25,495 - $2,500 - $500 = $22,495

The amount of loan Molly needs = $22,495

Second Part:

The monthly payment is given by the formula;

$\displaystyle M = \mathbf{\dfrac{P \cdot \left(\dfrac{r}{12} \right) \cdot \left(1+\dfrac{r}{12} \right)^n }{\left(1+\dfrac{r}{12} \right)^n - 1}}$

Therefore;

$\displaystyle M = \dfrac{22,495 \times \left(\dfrac{0.019}{12} \right) \times \left(1+\dfrac{0.019}{12} \right)^{84} }{\left(1+\dfrac{0.019}{12} \right)^{84} - 1} \approx \mathbf{286.2}$

Molly's monthly payment will be M ≈ $286.2

Third part:

The total interest, I = Sum of payment - Loan amount

∴ The total interest, I ≈ $286.2/month × 84 month - $22,495 ≈ $1,545.8

The total interest Molly will pay using the loan, I ≈ $1,545.8

Fourth part:

The cost of the car, C, using the 1.9% APR financing plan is the sum of the down payment plus sum of the loan repayment

Therefore;

C ≈ $2,500 + $286.2/month × 84 months = $26,540.8

The cost of the car using the 1.9% APR financing plan, C ≈ $26,540.8

The question parameters obtained from a similar question are;

Selling price of the car = $25,495

Financing = 1.9% APR for 84 months with a cash allowance of $500

Learn more about loan payment here:

brainly.com/question/1040657

3 0

3 years ago

Manuela solved the equation 3−2|0.5x+1.5|=2 for one solution. Her work is shown below. 3−2|0.5x+1.5|=2 −2|0.5x+1.5|=−1 |0.5x+1.5

forsale [732]

Answer:

x=-4

Step-by-step explanation:

The given equation is

$3-2|0.5x+1.5|=2$

Subtract 3 from both sides.

$3-2|0.5x+1.5|-3=2-3$

$-2|0.5x+1.5|=-1$

Divide both sides by -2.

$\dfrac{-2|0.5x+1.5|}{-2}=\dfrac{-1}{-2}$

$|0.5x+1.5|=0.5$

If |x|=a, then x=a or x=-a.

$0.5x+1.5=\pm 0.5$

Case 1: $0.5x+1.5=0.5$

Subtract 1.5 from both sides.

$0.5x=0.5-1.5$

$0.5x=-1$

Divide both sides by 0.5.

$x=-2$

Case 2: $0.5x+1.5=-0.5$

Subtract 1.5 from both sides.

$0.5x=-0.5-1.5$

$0.5x=-2$

Divide both sides by 0.5.

$x=-4$

Therefore, one solution is x=-2 and other solution is x=-4.

5 0

4 years ago

Read 2 more answers

Find the value of x. Picture below

Wittaler [7]

Here a right angled triangle given. We know that one angle of a right angled triangle is 90°.

As the sum of three angles of a triangle is 180°, so we can say the sum of other two angles of a right angled triangle is (180-90)° = 90°.

Here in the figure the other two angles given $(2x)^o$ and $(x+15)^o$ . Sum of these two angles is 90°.

So we can write the equation as,

$(2x)+(x+15) = 90$

We have to remove the parenthesis now.

$2x+x+15 = 90$

Now we will add the like terms. Here x and 2x are like terms. By adding them we will get,

$3x+15 = 90$

To solve it for x, now we have to move 15 to the other side by subtracting it from both sides.

$3x+15-15 = 90-15$

$3x= 90-15$

$3x= 75$

Now to get x, we have to move 3 to the other side, by dividing it to both sides.

$(3x)/3 = (75)/3$

$x = (75)/3$

$x = 25$

We have got the required value of x.

The solution is x= 25.

3 0

4 years ago

Which of the following is equivalent to the expression below? 9^10*9^x

muminat

Answer:

Step-by-step explanation:

$a^{m}*a^{n}=a^{m+n}\\\\9^{10}*9^{x}=9^{10+x}$

In exponent multiplication, if the bases are same then add the exponents.

6 0

3 years ago

Read 2 more answers