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3 years ago

13

sharita does special typing jobs for scientist. she charges 16$ for the first 3 pages and 3$ for each additional page of scienti

fic typing Sonia,a a biologist paid 106$ to have a research paper typed how many pages long was Sonia's paper

1 answer:

liq [111]3 years ago

6 0

Answer: 33 pages

Step-by-step explanation:

Let x represent the total number of pages typed by Sharita.

The cost of the first 3 pages = $ 16

Each additional page cost $3

Total amount paid = $106

since the first 3 pages cost $16 , and x represent the total pages , then the remaining pages will be x - 3

Also , since each additional page cost $3 , the cost of the remaining pages will be 3 ( x - 3)

Combining this , we have

16 + 3 ( x -3 ) = 106

16 + 3x - 9 = 106

7 + 3x = 106

3x = 106 - 7

3x = 99

x = 33

therefore ,Sonia's paper was 33 pages long

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Cristiano rolando has a messy house. The function that represents the total cost cristiano spends having his house cleaned is C(

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He spends 125 dollars per visit. Please mark Brainliest!!!

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3 years ago

What is the sum of the geometric sequence −4, 24, −144, ... if there are 8 terms?

Helga [31]

Answer:

The sum of 8 geometric sequence is 959780

Step-by-step explanation:

We are given

this sequence is geometric

-4 , 24 , -144

First term is -4

so, $a_1=-4$

now, we can find common ratio

$r=\frac{24}{-4}=-6$

we can use formula

$S_n=a_1(\frac{1-r^n}{1-r} )$

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4 0

3 years ago

You purchase a stereo system for $830. The value of the stereo system decreases 13% each year. a. Write an exponential decay mod

lorasvet [3.4K]

Answer:

a. $y=830*(0.87)^x$

b. The value of stereo system after 2 years will be $628.23.

c. After approximately 4.98 years the stereo will be worth half the original value.

Step-by-step explanation:

Let x be the number of years.

We have been given that you purchased a stereo system for $830. The value of the stereo system decreases 13% each year.

a. Since we know that an exponential function is in form: $y=a*b^x$ , where,

a = Initial value,

b = For decay b is in form (1-r), where r is rate in decimal form.

Let us convert our given rate in decimal form.

$13\%=\frac{13}{100}=0.13$

Upon substituting our given values in exponential decay function we will get

$y=830*(1-0.13)^x$

$y=830*(0.87)^x$

Therefore, the exponential model $y=830*(0.87)^x$ represents the value of the stereo system in terms of the number of years since the purchase.

b. To find the value of stereo system after 2 years we will substitute x=2 in our model.

$y=830*(0.87)^2$

$y=830*0.7569$

$y=628.227\approx 628.23$

Therefore, the value of stereo system after 2 years will be $628.23.

c. The half of the original price will be $\frac{830}{2}=415$ .

Let us substitute y=415 in our model to find the time it will take the stereo to be worth half the original value.

$415=830*(0.87)^x$

Upon dividing both sides of our equation by 830 we will get,

$\frac{415}{830}=\frac{830*(0.87)^x}{830}$

$0.5=0.87^x$

Let us take natural log of both sides of our equation.

$ln(0.5)=ln(0.87^x)$

Using natural log property $ln(a^b)=b*ln(a)$ we will get,

$ln(0.5)=x*ln(0.87)$

$\frac{ln(0.5)}{ln(0.87)}=\frac{x*ln(0.87)}{ln(0.87)}$

$\frac{ln(0.5)}{ln(0.87)}=x$

$\frac{-0.6931471805599}{-0.139262067}=x$

$x=4.977286\approx 4.98$

Therefore, after approximately 4.98 years the stereo will be worth half the original value.

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3 years ago

Given f(x) = 2x - 1, find the value of f(0).

Serggg [28]

F(x) = 2x - 1

subtitute x = 0 to the equation:

f(0) = 2· 0 -1 = 0 - 1 = -1

f(0) = -1

8 0

3 years ago

2 times what equals 56

wel

This is simple division to do this you must know you multiplication. However the answer is 28 ;)

8 0

3 years ago

Read 2 more answers