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ehidna [41]
3 years ago
13

If

Mathematics
1 answer:
andrew-mc [135]3 years ago
7 0

Answer: 1 is not in the domain of f g.

Step-by-step explanation:

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Rooter Plus charges a $25 service fee plus $40 per hour of work done. Is this a proportional or non-proportional relationship?
Dominik [7]

Answer:

Non-proportional; the rate of change is $40/hour

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u>and the line passes through the origin</u>

Let

x -----> the number of hours

y ----> The total charge in dollars

The equation of the line in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

we have

m=40\ \$/h\\b=\$25

substitute

y=40x+25

This relationship is not proportional, because the line not passes through the origin

therefore

Non-proportional; the rate of change is $40/hour

5 0
3 years ago
At 10 percent interest, how long does it take to quadruple your money?
horsena [70]

It takes about 14.55 years for quadruple your money

<em><u>Solution:</u></em>

Given that,

At 10 percent interest, how long does it take to quadruple your money

Rule of 144:

The Rule of 144 will tell you how long it will take an investment to quadruple

Here,

Rate of interest = 10 %

Therefore, number of years to quadruple your money is obtained by dividing 144 by 10

<em><u>Rule of 144 Formula: </u></em>

N = \frac{144}{R}

Where:

N = Number of many years times.

144 = Is the constant variable.

R = Rate of interest.

\rightarrow N =  \frac{144}{10} = 14.4

Thus it takes about 14.4 years for quadruple your money.

<em><u>Another method:</u></em>

If initial amount is $ 1 and it if quadruples it should be $ 4

We have to find the number of years if rate of interest is 10 %

Let "n" be the number of years

Then we can say,

Amount = Principal(1+\frac{R}{100})^n

4 = 1(1+\frac{10}{100})^n

4 = 1(1+0.1)^n\\\\4= 1(1.1)^n\\\\4 = 1.1^n\\\\We\ know\ that,\\\\(1.1)^{14.55} = 1.1^n\\\\We\ know\ that\\\\If\ a^m = a^n\ then\ m = n\\\\Therefore,\\\\14.55 = n\\\\n = 14.55

Thus Option D 14.55 years is correct

7 0
3 years ago
$5.15 per 5-pound bag
ollegr [7]

Answer: 1 pound = 1.03

Step-by-step explanation:

not sure what you wanted from this but here are possible answer

6 0
2 years ago
Read 2 more answers
Jason bought pecans in bulk at the grocery store. He paid $19.20 for
murzikaleks [220]

Answer:

0.59 cents

Step-by-step explanation:

To find how much he paid for 1 pound, you divide $19.20 by 2 = $9.60

Then you divide $9.60 by 16(ounces) = $0.59 cents (or $.0.60, rounded, but is closest to that answer)

8 0
2 years ago
What is the definittion of a right angle
raketka [301]
<span>an angle of 90°, as in a corner of a square or at the intersection of two perpendicular straight lines.</span>
3 0
2 years ago
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