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chubhunter [2.5K]

2 years ago

7

Mason is planning to buy a car two years from now. He currently has $400 saved up to buy the car. From all the cars Mason is con

sidering buying, how much money to save per month over the next two years if the least expensive car he wants to buy is $4000

1 answer:

Goshia [24]2 years ago

8 0

Answer:150 dollars

Step-by-step explanation:

3600 (cost of car) divided by 24 (months)

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Find the product of all real values of r for which 1/2x=r-x/7

Dahasolnce [82]

Answer:

$r = \±\sqrt{14$

$Product = -14$

Step-by-step explanation:

Given

$\frac{1}{2x} = \frac{r - x}{7}$

Required

Find all product of real values that satisfy the equation

$\frac{1}{2x} = \frac{r - x}{7}$

Cross multiply:

$2x(r - x) = 7 * 1$

$2xr - 2x^2 = 7$

Subtract 7 from both sides

$2xr - 2x^2 -7= 7 -7$

$2xr - 2x^2 -7= 0$

Reorder

$- 2x^2+ 2xr -7= 0$

Multiply through by -1

$2x^2 - 2xr +7= 0$

The above represents a quadratic equation and as such could take either of the following conditions.

(1) No real roots:

This possibility does not apply in this case as such, would not be considered.

(2) One real root

This is true if

$b^2 - 4ac = 0$

For a quadratic equation

$ax^2 + bx + c = 0$

By comparison with $2x^2 - 2xr +7= 0$

$a = 2$

$b = -2r$

$c =7$

Substitute these values in $b^2 - 4ac = 0$

$(-2r)^2 - 4 * 2 * 7 = 0$

$4r^2 - 56 = 0$

Add 56 to both sides

$4r^2 - 56 + 56= 0 + 56$

$4r^2 = 56$

Divide through by 4

$r^2 = 14$

Take square roots

$\sqrt{r^2} = \±\sqrt{14$

$r = \±\sqrt{14$

Hence, the possible values of r are:

$\sqrt{14$ or $-\sqrt{14$

and the product is:

$Product = \sqrt{14} * -\sqrt{14}$

$Product = -14$

8 0

3 years ago

What is the area of 36x^2+120x+100

masha68 [24]

Answer: 4 • (3x - 5)2

Step-by-step explanation: ((22•32x2) - 120x) + 100

7 0

3 years ago

Which is equivalent to 3 X 3 X 3 X 3 X 3 A 3x5 B 3^3 C 5^3 D 3^5

Anna35 [415]

Answer:

2x+5x-6

Step-by-step explanation:

7 0

2 years ago

4-a = -4 <br><br> please answer this

ikadub [295]

4 - 8 = -4.

Note that 8 (in the equation) comes after 4 (also in the equation) so, that makes the answer negative. If you wrote the equation like this:

8 - 4 = 4. Then it would equal 4, not negative 4 as given.

So,

a = 8

5 0

3 years ago

Mel has $35 and withdraws $200 from his bank account from the ATM. He bought a pair of pants for $34.00, 2 shirts for $16 each a

Westkost [7]

$34.00 - pants.

$16.00 ×2 = $32.00 - shirts.

$24.00×2= $48.00 - shoes.

$34.00+ $32.00 + $48.00 = $114.00

$200.00 - $114.00 = $86.

but if you count $35 then he had , $121

6 0

3 years ago