Graph y<12 on a number line.

A motorized scooter normally sells for $560. The scooter was discounted 45% for a sale. After the sale was over, the new price o

beks73 [17]

Answer:

420

Step-by-step explanation:

subtract the percentage which you get 25 percent 560 minus 25 percent is 420

6 0

3 years ago

If the solution to y=4x+3 is (4,16) what would the steps needed to get (4,16) be?

Ainat [17]

<span>Simplifying x4 = 16
Solving x4 = 16
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Simplifying x4 = 16
Reorder the terms: -16 + x4 = 16 + -16
Combine like terms: 16 + -16 = 0 -16 + x4 = 0
Factor a difference between two squares. (4 + x2)(-4 + x2) = 0
Factor a difference between two squares. (4 + x2)((2 + x)(-2 + x)) = 0
Subproblem 1

Set the factor '(4 + x2)' equal to zero and attempt to solve:
Simplifying 4 + x2 = 0 Solving 4 + x2 = 0
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation. 4 + -4 + x2 = 0 + -4
Combine like terms: 4 + -4 = 0 0 + x2 = 0 + -4 x2 = 0 + -4
Combine like terms: 0 + -4 = -4 x2 = -4
Simplifying x2 = -4
The solution to this equation could not be determined.
This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(2 + x)' equal to zero and attempt to solve:
Simplifying 2 + x = 0 Solving 2 + x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2
Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Sub-problem 3

Set the factor '(-2 + x)' equal to zero and attempt to solve:
Simplifying -2 + x = 0 Solving -2 + x = 0
Move all terms containing x to the left, all other terms to the right.
Add '2' to each side of the equation. -2 + 2 + x = 0 + 2
Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2
Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2Solutionx = {-2, 2}</span>

8 0

4 years ago

Which of these is equivalent to 3-2

klemol [59]

I think the to left

5 0

3 years ago

Emma invested $41,000 in an account paying an interest rate of 2.6% compounded monthly. Assuming no deposits or withdrawals are

kvasek [131]

Answer: it will take 7 years for the value of the account to reach $49,300

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $41000

A = $49300

r = 2.6% = 2.6/100 = 0.026

n = 12 because it was compounded 12 times in a year.

Therefore,

49300 = 41000(1 + 0.026/12)^12 × t

49300/41000 = (1 + 0.0022)^12t

1.2024 = (1.0022)^12t

Taking log of both sides of the equation, it becomes

Log 1.2024 = 12t × log 1.0022

0.08 = 12 × 0.00095 = 0.0114t

t = 0.08/0.0114

t = 7 years

8 0

3 years ago

A 20% solution of fertilizer is to be mixed with a 50% solution of fertilizer in order to get 180 gallons of a 40% solution. How

anyanavicka [17]

Answer: 60 gallons of the 20% solution and 120 gallons of the 50% solution should be mixed.

Step-by-step explanation:

Let x represent the number of gallons of 20% solution that should be mixed.

Let y represent the number of gallons of 50% solution that should be mixed.

A 20% solution of fertilizer is to be mixed with a 50% solution of fertilizer in order to get 180 gallons of a 40% solution. This means that

0.2x + 0.5y = 0.4×180

0.2x + 0.5y = 72- - - - - - - - - - - -1

Since the total number of gallons is 180, it means that

x + y = 180

Substituting x = 180 - y into equation 1, it becomes

0.2(180 - y) + 0.5y = 72

36 - 0.2y + 0.5y = 72

- 0.2y + 0.5y = 72 - 36

0.3y = 36

y = 36/0.3

y = 120

x = 180 - y = 180 - 120

x = 60

4 0

3 years ago