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3 years ago

6

Given the following table, determine the missing value. Growth Factor 1.13 ? 1.28 1.97 Percent 13% 256% 28% 97%

2 answers:

omeli [17]3 years ago

5 0

To get the growth factor from a percentage increase, express the percentage as a decimal, then add 1.
256% = 2.56
2.56 + 1 = 3.56

The appropriate choice is ...
c. 3.56

lisov135 [29]3 years ago

3 0

Answer:

missing value in the table is 3.56

Step-by-step explanation:

Percent 13% 256% 28% 97%

Growth Factor 1.13 ? 1.28 1.97

To find growth factor first we remove the percentage and then we add 1

we are given with 246 %

to remove percentage we divide by 100

$\frac{256}{100} = 2.56$

To get growth factor we add 1

1+2.56= 3.56

so growth factor is 3.56

missing value in the table is 3.56

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A cell phone company $500 for a new phone and $60 for a monthly plan. If C(t) is a rational function that represents the average

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The range of a function is the set of possible values that can be obtained from the dependent variable. The range of the function is: $R: (500, \infty)$

Given that:

$Phone = \$500$

$Monthly\ Plan = \$60$

Let the number of months be t. So, the function C(t) is calculated as follows:

$C(t) = Phone + Monthly\ Plan \times t$

$C(t) = 500 + 60 \times t$

$C(t) = 500 + 60t$

The range is calculated as follows:

The smallest possible value of t is 0 i.e. when no monthly subscription is done.

So, we have:

$C(0) = 500 + 60\times 0= 500 + 0 = 500$

And the highest is $\infty$ i.e. for a large value of t

So, we have:

$C(\infty) = 500 + 60\times \infty= 500 + \infty = \infty$

Hence, the range of the function is:

$R: (500, \infty)$

Read more about range of functions at:

brainly.com/question/13824428

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3 years ago

There are 80 people in line waiting to enter the taping of a television program. Of those people, 24 are senior citizens. What p

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Answer: 56 people in line are not senior citizens

Step-by-step explanation:

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2 years ago

Micheal buys a new jacket for 90 dollars. Sales tax is 8%. How much does Micheal actually have to pay?

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Answer:

$97.20

Step-by-step explanation:

you make the 8% into a decimal by moving the decimal to places to the left.

8%=0.08, Then you multiply that by the whole number of 90 dollars.

0.08 x 90 = $97.20

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2 years ago

A point H is 20m away from the foot of a tower on the same horizontal ground. From the point H, the angle of elevation of the po

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Answer:

a. See Attachment 1

b. $PT = 12.3\ m$

c. $HT = 31.1\ m$

d. $OH = 28.4\ m$

Step-by-step explanation:

Calculating PT

To calculate PT, we need to get distance OT and OP

Calculating OT;

We have to consider angle 50, distance OH and distance OT

The relationship between these parameters is;

$tan50 = \frac{OT}{20}$

Multiply both sides by 20

$20 * tan50 = \frac{OT}{20} * 20$

$20 * tan50 = OT$

$20 * 1.1918 = OT$

$23.836 = OT$

$OT = 23.836$

Calculating OP;

We have to consider angle 30, distance OH and distance OP

The relationship between these parameters is;

$tan30 = \frac{OP}{20}$

Multiply both sides by 20

$20 * tan30 = \frac{OP}{20} * 20$

$20 * tan30 = OP$

$20 * 0.5774= OP$

$11.548 = OP$

$OP = 11.548$

$PT = OT - OP$

$PT = 23.836 - 11.548$

$PT = 12.288$

$PT = 12.3\ m$ (Approximated)

--------------------------------------------------------

Calculating the distance between H and the top of the tower

This is represented by HT

HT can be calculated using Pythagoras theorem

$HT^2 = OT^2 + OH^2$

Substitute 20 for OH and $OT = 23.836$

$HT^2 = 20^2 + 23.836^2$

$HT^2 = 400 + 568.154896$

$HT^2 = 968.154896$

Take Square Root of both sides

$HT = \sqrt{968.154896}$

$HT = 31.1\ m$ <em>(Approximated)</em>

--------------------------------------------------------

Calculating the position of H

This is represented by OH

See Attachment 2

We have to consider angle 50, distance OH and distance OT

The relationship between these parameters is;

$tan50 = \frac{OH}{OT}$

Multiply both sides by OT

$OT * tan50 = \frac{OH}{OT} * OT$

$OT * tan50 = {OH$

$OT * 1.1918 = OH$

Substitute $OT = 23.836$

$23.836 * 1.1918 = OH$

$28.4= OH$

$OH = 28.4\ m$ <em> (Approximated)</em>

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3 years ago

A parking garage charges a $2.50 daily fee plus an hourly rate of $4.00. If you have $12.50 to pay for parking, how long can you

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Step-by-step explanation:

First we need to set up an equation so

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You can park for 2.5 hours with your budget

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2 years ago