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3 years ago

8

1. Jennifer earns 25% commission as a salesperson for her company. If she sells $1850 worth of product, how much commission does

she earn?

1 answer:

elixir [45]3 years ago

7 0

Answer:

$462.50

Step-by-step explanation:

Find 25% of 1850:

1850(0.25)

= 462.5

So, she earns $462.50 in commission

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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

Learn more here:

brainly.com/question/27751281

brainly.com/question/21186424

3 0

1 year ago

Rates for having a manuscript typed at a certain typing service are $5 per page for the first time a page is typed and $3 per pa

Goryan [66]

Answer:

D. $680

Step By Step Explanation:

100 pages are typed. Each page coast $5 to type.

100 x 5 = 500

40 pages are revised once. It costs $3 to revise a page once.

40 x 3 = 120

10 pages are revised twice. It costs $3 to revise a page once so it will cost $6 to revise it twice

10 x 6 = 60

To find the total cost we add all the amounts together

500 + 120 + 60 = 680

The final answer is $680

6 0

3 years ago

Can you guys help me asap

stepladder [879]

The answer should be D.

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3 years ago

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Juli2301 [7.4K]

B) extrapolating ...

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