The table shows the price for different numbers of icecream treats:

82. A company spends x hundred dollars on an advertising

crimeas [40]

The company spends $649 on advertising

The sales function after advertising is given as:

$S(x) = 5 + 7\ln(x + 1)$

When the total sales is $19,100, we have S(x) = 19100

So, the sales function becomes

$5 + 7\ln(x + 1) = 19.1$

Subtract 5 from both sides

$7\ln(x + 1) = 14.1$

Divide both sides by 7

$\ln(x + 1) = 2.014$

Take exponents of both sides

$x + 1 = e^{2.014$

$x + 1 = 7.49$

Subtract 1 from both sides

$x= 6.49$

Hence, the company spends $649 on advertising

Read more about functions at:

brainly.com/question/12940982

5 0

2 years ago

Regina brought 8 7/8 pound of fruit for her family . She brought 3 1/2 pound of oranges and 2 3/4 pound of peaches and some appl

butalik [34]

Answer:

Regina has bought $2\frac{5}{8}\ pounds$ of apples.

Step-by-step explanation:

Given:

Amount of fruit brought = $8\frac{7}{8}\ pounds$

Now given number is in mixed fraction we will convert into improper fraction.

To convert a mixed fraction to an improper fraction, we will Multiply the whole number part by the fraction's denominator. Add that to the numerator,Then write the result on top of the denominator.

So we can say that;

$8\frac{7}{8}\ pounds$ can be Rewritten as $\frac{71}{8}\ pounds$

Amount of fruit brought = $\frac{71}{8}\ pounds$

Also given:

Amount of oranges bought = $3\frac12\ pounds$

$3\frac12\ pounds$ can be Rewritten as $\frac{7}{2}\ pounds$

Amount of oranges bought = $\frac{7}{2}\ pounds$

Amount of peaches bought = $2 \frac34\ pounds$

$2 \frac34\ pounds$ can be Rewritten as $\frac{11}{4}\ pounds$

Amount of peaches bought = $\frac{11}{4}\ pounds$

We need to find amount of apples bought by Regina.

Solution:

Let the amount of apples bought be 'x'

Now we know that;

Amount of fruit brought is equal to sum of Amount of oranges bought and Amount of peaches bought amount of apples.

framing in equation form we get;

$\frac{71}{8}=\frac{7}{2}+\frac{11}{4}+x\\\\x=\frac{71}{8}-\frac{7}{2}-\frac{11}{4}$

Now we will make the denominator common using LCM we get.

$x=\frac{71\times 1}{8\times 1}-\frac{7\times4}{2\times4}-\frac{11\times2}{4\times2}\\\\x=\frac{71}{8}-\frac{28}{8}-\frac{22}{8}$

Now denominators are same so we will solve the numerator.

$x=\frac{71-28-22}{8}\\\\x=\frac{21}{8}\ pounds$

Now $\frac{21}{8}\ pounds$ can be Rewritten as $2\frac{5}{8}\ pounds$

Hence Regina has bought $2\frac{5}{8}\ pounds$ of apples.

5 0

3 years ago

Combining like terms

MAXImum [283]

Combine like terms to simplify an expression. For example, all terms with the variable x can be combined into one term. All constants can also be combined.

1) -4x - 10x = -14x

2) -r - 10r = -11r

3) -2x + 11 +6x = 4x + 11

4) 11r - 12r = -r

5) -v + 12v = 11v

6) -8x - 11x = -19x

7) 4p + 2p = 6p

8) 5n + 11n = 16n

9) n + 4 - 9 - 5n = -4n - 5

10) 12r + 5 + 3r - 5 = 15r (the 5 and -5 cancel each other out)

11) -5 + 9n + 6 = 9n + 1

4 0

2 years ago

Brian is riding his bike. He biked a distance of 14 miles at a rate of 14 miles per hour. Rearrange the distance formula, d = rt

Stells [14]

Answer:

C. 60 minutes

Step-by-step explanation:

if Brian biked 14 miles in 1 hour and 1 hour = 60 minutes then the answer is 60 minutes. hope this helps

5 0

3 years ago

there are 2.54 centimeters in 1 inch. how many centimeters are there in 1 foot? in 1 yard? explain your reasoning

AVprozaik [17]

Answer:

1 foot = 30.48 centimeters

1 yard = 91.44 centimeters

Step-by-step explanation:

If there are 2.54 centimeters in an inch, and 12 inches in a foot, then you need to multiply 2.54 by 12.

Their are 36 inches in a yard so you need to multiply 2.54 by 36

3 0

2 years ago