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3 years ago

Is offering free credit on a new $30.000 car. You pay $3,000 down and then $900 a month for the next 30 months.

Mathematics

1 answer:

nikdorinn [45]3 years ago

7 0

534 is the answer to this question.

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Jenny charges $9.15 an hour to babysit toddlers and $7.45 an hour to babysit school-aged children, If jenny babysat toddlers for

Eduardwww [97]

She would earn $127.05 dollars for babysitting

4 0

3 years ago

Please help solve for x..

aalyn [17]

Answer:

x = 1 or x = -1

Step-by-step explanation:

Given equation:

$x^{100}-4^x \cdot x^{98}-x^2+4^x=0$

Factor out -1:

$\implies -1(-x^{100}+4^x \cdot x^{98}+x^2-4^x)=0$

Divide both sides by -1:

$\implies -x^{100}+4^x \cdot x^{98}+x^2-4^x=0$

Rearrange the terms:

$\implies 4^x \cdot x^{98}-4^x-x^{100}+x^2=0$

$\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c \quad \textsf{to }x^{100}:$

$\implies 4^x \cdot x^{98}-4^x-x^{98}x^2+x^2=0$

Factor the first two terms and the last two terms separately:

$\implies 4^x(x^{98}-1)-x^2(x^{98}-1)=0$

Factor out the common term $(x^{98}-1)$ :

$\implies (4^x-x^2)(x^{98}-1)=0$

<u>Zero Product Property</u>: If a ⋅ b = 0 then either a = 0 or b = 0 (or both).

Using the <u>Zero Product Property</u>, set each factor equal to zero and solve for x (if possible):

$\begin{aligned}x^{98}-1 & = 0 & \quad \textsf{or} \quad \quad4^x-x^2 & = 0 \\x^{98} & =1 & 4^x & = x^2 \\x & = 1, -1 & \textsf{no}& \textsf{ solutions for } x \in \mathbb{R}\end{aligned}$

Therefore, the solutions to the given equation are: x = 1 or x = -1

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3 0

2 years ago

The members of a health spa pay annual membership dues of $300 plus a charge of $2 for each visit to the spa. Let Y denote the d

Ganezh [65]

Answer:

Y = 300 + 2X

Y( in dollars)

It is a functional relationship because a change in the value of X results in a corresponding change in the value of Y. And does not involve any uncertainty.

Step-by-step explanation:

Given:

Annual fixed due = $300

Variable cost = $2 per visit

X = number of visits in a year

Y = total yearly cost.

Y = annual cost + variable cost

Y = $300 + $2×X

Y = 300 + 2X

Y( in dollars)

It is a functional relationship because a change in the value of X results in a corresponding change in the value of Y. And does not involve any uncertainty.

8 0

3 years ago

The door to the clubhouse has an area of 1,792 sq cms If the length of the door is 56cms how wide is the door ?

LuckyWell [14K]

Step-by-step explanation:

area = length x width

area = 1,792 sq cm

length = 56 sq cm

width = ?

equation = 1,792-56= 1,736

Answer:

1,736 sq cm