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2 years ago

7

You earn $21.00 per hour at your job. If you get a 9% raise at the end of each year, what will your hourly rate, h, be after 5 y

ears? Use the equation h = C (1 + r)^t where C is the beginning hourly rate, r is the growth rate, and t is time in years.

1 answer:

NikAS [45]2 years ago

3 0

Plug in the info given and solve:

h = 21(1.09)^5
h = $32.31

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A customer will be charged extra if the weight of their suitcase is above 48 pounds.

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Answer:

$w>48$ pounds

Step-by-step explanation:

The customer will be charged extra if the weight of their suitcase is above 48 pounds.

Let the weight of the suitcase = w (in pounds)

Therefore, w above (greater than) 48 pounds is written mathematically as:

$w>48$ pounds

This is the inequality that represents w, the weight of the suitcase in pounds, that will have an extra charge.

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In baseball, a player pitches a ball from the mound to a catcher behind the plate. A pitch that passes over the plate above the

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3 years ago

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A. is less than the radius.

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Please help solve for x..

aalyn [17]

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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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1 year ago

ASAP WHO EVER ANSWERS THIS WILL BE MARKED BRANLIEST

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Answer:

option A is the answer hope you find it helpful

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2 years ago