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3 years ago

What is the absolute value of | r - 8| = 5?

Mathematics

1 answer:

fomenos3 years ago

3 0

Answer:

r = 13, 3

Step-by-step explanation:

| r - 8| = 5

All solutions for r by breaking the absolute value into the positive and negative components

r = 13, 3

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What is 3 root of 125

olga2289 [7]

Hey there, 125/5=25 and 25*5=125, Therefore, ∛125=5

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3 years ago

The price of a computer component is decreasing at a rate of 15% per year. State whether this decrease is linear or exponential

Margaret [11]

Answer:

Since the price is given by an exponential function, the decline in price is exponential.

The component will cost $36.8475 in three years.

Step-by-step explanation:

The equation for the price of a component has the following format:

$P(t) = P(0)(1-r)^{t}$

In which P(t) is the price after t years, P(0) is the initial price, and r is the rate that the price decreases.

Since the price is given by an exponential function, the decline in price is exponential.

The price of a computer component is decreasing at a rate of 15% per year.

This means that $r = 0.15$

Component costs $60 today

So P(0) = 60. Then

$P(t) = P(0)(1-r)^{t}$

$P(t) = 60(1-0.15)^{t}$

$P(t) = 60(0.85)^{t}$

What will it cost in three years?

This is P(3).

$P(t) = 60(0.85)^{t}$

$P(3) = 60(0.85)^{3} = 36.8475$

The component will cost $36.8475 in three years.

6 0

3 years ago

Mark earns $300 per month plus an additional 2% on all of his sales. Last month he sold $59,000. What was Mark’s income for the

Lina20 [59]

Answer:

59,000 * .02= $1,180 commission plus $300 = $1480

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3 years ago

Which table shows input and output values that represent a linear function?

shepuryov [24]

Answer:

Table A

Step-by-step explanation:

In order for it to be a linear relationship, the change in the x values and y values (f(x)) needs to be consistent.

In every table, the x values change the same, so we can focus on the y values.

Notice in table A, the f(x) values go down consistently by 10 for every change in x.

All of the other tables are not consistent.

Therefore, table A is the only linear function.

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3 years ago

Given Triangle IFN congruent to Triangle SJP, name all the pairs of corresponding parts.

Gemiola [76]

Sides
IF=SJ
FN=JP
NI=PS

Angles
I=S
F=J
N=P

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3 years ago