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2 years ago

14

Molly has a $2500 down payment saved for this purchase, and the dealer's $1500 Cash Allowance will come straight off her total.

How much loan does Molly need?

2 answers:

Igoryamba2 years ago

7 0

Answer:

Molly doesn't need any loan amount, she has enough money to pay the bills

Step-by-step explanation:

Molly will have $1000 left after she must have paid the $1500 bill from her $2500 saving. She does not need to take any loan in this case.

allsm [11]2 years ago

6 0

Answer:

Molly doesn't need a loan

Step-by-step explanation:

Molly has a $2500 down payment saved for this purchase, and the dealer's $1500 Cash Allowance will come straight off her total.

If she paid $1500, she would have $1000 left. She doesn't need a loan as the bill has been paid, and there is some money left.

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Herky was given the following system of equations to solve. 3 x minus 2 y = 17. x minus 3 y = 1.

ioda

Answer:

(7, 2 )

Step-by-step explanation:

Given the 2 equations

3x - 2y = 17 → (1)

x - 3y = 1 → (2)

Rearrange (2) expressing x in terms of y by adding 3y to both sides

x = 1 + 3y → (3)

Substitute x = 1 + 3y in (1)

3(1 + 3y) - 2y = 17 ← distribute and simplify left side

3 + 9y - 2y = 17

3 + 7y = 17 ( subtract 3 from both sides )

7y = 14 ( divide both sides by 7 )

y = 2

Substitute y = 2 into (3) for corresponding value of x

x = 1 + 3(2) = 1 + 6 = 7

Solution is (7, 2 )

5 0

2 years ago

Read 2 more answers

URGENT!! Please help Find the values of y=c(x) 3 square x, for x = 0, 0.008, 0.027, 0.064, 0.125, 0.216, 0.343, 0.512, , 0.729 a

mojhsa [17]

Answer:

We have

$y=c(x)=\sqrt[3]{x}$

$\text{for } x = 0, 0.008, 0.027, 0.064, 0.125, 0.216, 0.343, 0.512, 0.729 \text{ and } 1$

We have 10 points to find:

$\text{Point A}(0, 0)$

$\text{Point B}(0.008, 0.2)$

$\text{Point C}(0.027, 0.3)$

$\text{Point D}(0.064, 0.4)$

$\text{Point E}(0.125, 0.5)$

$\text{Point F}(0.216, 0.6)$

$\text{Point G}(0.343, 0.7)$

$\text{Point H}(0.512, 0.8)$

$\text{Point I}(0.729, 0.9)$

$\text{Point J}(1, 1)$

4 0

2 years ago

Can someone help me solve this :

bija089 [108]

Answer:

The total cost of 5 pillows and 7 sheets is $205.345

Step-by-step explanation:

Let x be the price of pillow case

We are given that the price of the pillows is 3 times as much as the price of a pillow case

Price of pillow = 3x

Price of 2 pillows = 2(3x)=6x

Price of 3 pillow case = 3x

At a store, 2 pillows and 3 pillow cases together cost $73.08.

So, 6x+3x=73.08

9x=73.08

$x=\frac{73.08}{9}$

x=8.12

So, Price of 1 pillow case = 8.12

Price of 1 pillow = 3x=3(8.12)=24.36

Price of 3 pillow =3(24.36)=73.08

Let y be the cost of 1 sheet

The total cost of 3 pillows and 4 sheets is $120.82

So, 73.08+4y=120.82

$y=\frac{120.82-73.08}{4}$

y=11.935

Price of 1 sheet = 11.935

Price of 7 sheets = 7(11.935)=83.545

Price of 5 pillows =5(24.36)=121.8

So,the total cost of 5 pillows and 7 sheets=83.545+121.8=205.345

Hence the total cost of 5 pillows and 7 sheets is $205.345

5 0

2 years ago

Report Error Suppose $P(x)$ is a polynomial of smallest possible degree such that: $\bullet$ $P(x)$ has rational coefficients $\

motikmotik

Answer:

We want a polynomial of smallest degree with rational coefficients with zeros in $\sqrt{7}$ , $1 - \sqrt{6}$ and -3. The last root gives us the factor (x+3). Hence, our polynomial is

$P(x) =(x+3)q(x)$

where $q$ is a polynomial with rational coefficients and roots $\sqrt{7}$ and $1 - \sqrt{6}$ . The root $\sqrt{7}$ gives us a factor $x-\sqrt{7}$ , but in order to obtain rational coefficients we must consider the factor $x^2-7$ .

An analogue idea works with $1 - \sqrt{6}$ . For convenience write $x - 1 + \sqrt{6} = ( x - 1) + \sqrt{6}$ . This gives the factor $(x-1)^2-6$ . Hence,

$P(x) = (x+3)(x^2-7)((x-1)^2-6)=x^5+x^4-18x^3-22x^2+77x+105$

Notice that $P(-1)=24$ . So, in order to satisfy the last condition we divide by 3 the whole polynomial, without altering its roots. Finally, the wanted polynomial is

$P(x) =(1/3)x^5+(1/3)x^4-6x^3-(22/3)x^2+(77/3)x+35$

Step-by-step explanation:

We must have present that any polynomial it's determined by its roots up to a constant factor. But here we have irrational ones, in order to eliminate the irrational coefficients that a factor of the type $x-\sqrt7$ will introduce in the expression, we need to multiply by its conjugate $x+\sqrt7$ . Hence, we will obtain $x^2-7$ that have rational coefficients. Finally, the last condition is given with the intention to fix the constant factor. Usually it is enough to evaluate in the point and obtain the necessary factor.

4 0

2 years ago

Each side of the regular hexagon below measures 8 cm. What is the area of the hexagon? A hexagon is shown. A triangle with a 60

damaskus [11]

Answer:

<u>The area of the hexagon is A. 96√3 cm²</u>

Step-by-step explanation:

Let's recall the formula of the area of an hexagon, this way:

Area = (3√3/2) * s²

Area = (3√3/2) * 8²

Area = (3√3/2) * 64

Area = 192√3/2

Area = 96√3 cm²

<u>The area of the hexagon is A. 96√3 cm²</u>

7 0

2 years ago