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3 years ago

6

C=5p+215 for p the formula c=5p + 215 relates c, the total cost in dollars of hosting a birthday party at a skating rink,to p, t

he number of people attending
Solve c=5p+215 for p

1 answer:

Nezavi [6.7K]3 years ago

5 0

<span>
it should be 17, people
</span>

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A population of 200 animals has a growth rate of 1.03% each year. at this growth rate, the function f(x)=200(1.03)^x gives the p

Y_Kistochka [10]

For this case, the first thing we should do is use the following equation:
f (x) = 200 (1.03) ^ x
We substitute f (x) = 300:
300 = 200 (1.03) ^ x
We clear the value of x:
log1.03 (300/200) = log1.03 ((1.03) ^ x)
x = log1.03 (300/200)
x = 13.72
Answer:
the population will first reach 300 in about 13.72 years.

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2 years ago

Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.

lubasha [3.4K]

Answer:

The answer is option C.

<h3>-6, -5 2/5, -4 1/5</h3>

Step-by-step explanation:

The arithmetic sequence is given by

$A(n) = - 6 + (n - 1)( \frac{1}{5} )$

where n is the number of terms

<u>For</u><u> </u><u>the</u><u> first</u><u> </u><u>term</u>

n = 1

So we have

$A(1) = - 6 + (1 - 1)( \frac{1}{5} )$

$= - 6 + (0)( \frac{1}{5} )$

$= - 6$

<u>For</u><u> </u><u>the</u><u> </u><u>fou</u><u>rth</u><u> term</u>

n = 4

$A(4) = - 6 + (4 - 1)( \frac{1}{5} )$

$= - 6 + (3)( \frac{1}{5} )$

$= - 5 \frac{2}{5}$

<u>For</u><u> </u><u>the</u><u> </u><u>tenth</u><u> </u><u>term</u>

n = 10

$A(10) = - 6 + (10 - 1)( \frac{1}{5} )$

$= - 6 + (9)( \frac{1}{5} )$

$= - 4 \frac{1}{5}$

Hope this helps you

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2 years ago

A custodian plans to repaint some classrooms. He has 5 = gallons of paint. All of

dlinn [17]

Answer: 2 bookcases.

Step-by-step explanation:

Let be "x" the number of bookcases that the custodian will be able to repaint completly with 5 gallons of paint.

According to the data given, the custodian needs 2 gallons of paint to repaint one bookcase. Since all the bookcases are equal, you can set up the following proportion:

$\frac{2}{1}=\frac{5}{x}$

Now you must solve for "x" in order to find its value:

$(x)(\frac{2}{1})=5\\\\2x=5\\\\x=\frac{5}{2}\\\\x=2.5$

Notice that the custodian will be able to repaint 2 bookcases completely, then you can say that:

$x\approx2$

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3 years ago

Hayley had 3.93 grams of salt. She added more salt to the sample and now has 4.87 grams. How many grams of salt did Hayley add?

Alik [6]

You subtract the intial from the final. your answer is0.94grams

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2 years ago

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Alja [10]

Answer:

B choice

Step-by-step explanation:

$y = mx + b$

where m = slope and b = y-intercept.

The value of m is 3/4. That means slope is 3/4. Changing 3/4 to - 3/4 will make the slope become negative. Therefore the answer is B.

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3 years ago

Read 2 more answers