A poster is shown below:

The original value of a car Is $15,000 and it depreciates (loses value) by 20% each year what is the value of the car after thre

Sergeeva-Olga [200]

This is an exponential decay function of the form:

y=ab^x, In this case:

y=15000(0.8^t) so for t=3

y=15000(0.8^3)

y=$7680

7 0

3 years ago

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A Store is having two sales on popcorn. The original price of the popcorn is $10 for 10 oz. Sale A offers you 33% more popcorn f

11111nata11111 [884]

Answer:

33% off is the better deal

Step-by-step explanation:

1.33 times as much popcorn for the same price is equivalent to 1/1.33 ≈ 0.75 times the price for the original amount of popcorn. That price is equivalent to a sale of 1 - 0.75 = 0.25 = 25% off.

The sale price of 33% off is a better deal (if you don't want the extra popcorn).

7 0

3 years ago

A roulette wheel is constructed so that the numbers can fall from 1 to 10 and the probability of falling a number (k + 1) is 2 t

yulyashka [42]

Answer: ggggggggggggggggggggggggggggggggggggghhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd

Step-by-step explanation:

3 0

3 years ago

2/3+1/3x=2x x=1/2 x=5/2 x=2 x=2/5

Rama09 [41]

Answer:

x = 2/5

Step-by-step explanation:

Solve for x:

x/3 + 2/3 = 2 x

Hint: | Combine x/3 + 2/3 into a single fraction.

x/3 + 2/3 = (x + 2)/3:

(x + 2)/3 = 2 x

Hint: | Make (x + 2)/3 = 2 x simpler by multiplying both sides by a constant.

Multiply both sides by 3:

(3 (x + 2))/3 = 3×2 x

Hint: | Cancel common terms in the numerator and denominator of (3 (x + 2))/3.

(3 (x + 2))/3 = 3/3×(x + 2) = x + 2:

x + 2 = 3×2 x

Hint: | Multiply 3 and 2 together.

3×2 = 6:

x + 2 = 6 x

Hint: | Move terms with x to the left hand side.

Subtract 6 x from both sides:

(x - 6 x) + 2 = 6 x - 6 x

Hint: | Combine like terms in x - 6 x.

x - 6 x = -5 x:

-5 x + 2 = 6 x - 6 x

Hint: | Look for the difference of two identical terms.

6 x - 6 x = 0:

2 - 5 x = 0

Hint: | Isolate terms with x to the left hand side.

Subtract 2 from both sides:

(2 - 2) - 5 x = -2

Hint: | Look for the difference of two identical terms.

2 - 2 = 0:

-5 x = -2

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of -5 x = -2 by -5:

(-5 x)/(-5) = (-2)/(-5)

Hint: | Any nonzero number divided by itself is one.

(-5)/(-5) = 1:

x = (-2)/(-5)

Hint: | Simplify the sign of (-2)/(-5).

Multiply numerator and denominator of (-2)/(-5) by -1:

Answer: x = 2/5

3 0

4 years ago

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PLEASE HELP!! solve |2x-2| ≥6.

Anastaziya [24]

<h3>Answer:</h3>

x ≤ -2 OR x ≥ 4

__________________________________________________________

<h3>Step-by-step explanation:</h3>

We are given the inequality:

|2x - 2| ≥ 6

Getting rid of the Modulus:

Since 2x-2 is in modulus:

|2x-2| = -(2x-2) OR 2x-2

(since the modulus of both these values is 2x-2)

Hence, our inequality can be written in 2 different ways:

2x-2 ≥ 6 (if 2x-2 ≥ 1)
-(2x - 2) ≥ 6 (if 2x-2 < 0)

__________________________________________________________

Solving these 2 inequalities:

Solving inequality 1:

2x - 2 ≥ 6

2x ≥ 8 [adding 2 on both sides]

x ≥ 4 [dividing both the sides by 2]

This is the solution of the inequality if: 2x-2 ≥ 0

Solving Inequality 2:

-(2x-2) ≥ 6

It can be rewritten as:

2 - 2x ≥ 6

2 ≥ 6 + 2x [adding 2x on both the sides]

-4 ≥ 2x [Subtracting 6 from both sides]

x ≤ -2 [Dividing both sides by 2]

This is the solution of the given inequality if: 2x-2 < 0

__________________________________________________________

Solution of the given Inequality:

Therefore, the solution of the given inequality |2x-2| ≥ 6 are:

x ≥ 4 (if 2x-2 ≥ 0)

x ≤ -2 (if 2x-2 < 0)

Hence, option C is correct!

6 0

3 years ago