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lys-0071 [83]
4 years ago
5

Mr. Wilson opened a bakery and a juice bar in his neighborhood. The functions below represent the profit, in dollars, earned fro

m the bakery and the juice bar after t months. Which function best describes P(t), the total profit earned from the bakery and the juice bar after t months? A. B. C. D.
Mathematics
1 answer:
zavuch27 [327]4 years ago
4 0

Answer:

The answer is given below

Step-by-step explanation:

The question is not complete, because the function for the profit is not given but I can show you how to calculate this.

Since Mr. Wilson has a bakery and a juice bar, his total profit earned in t months would be the sum of profit from the bakery with the profit from the juice bar within t months.

Let us assume that the profit from the bakery in t months is given by:

B(t) = 2t³

while the profit from the juice bar in t months is given by:

J(t) = 2.3^t-2

Therefore the total profit is given by:

P(t) = B(t) - J(t) = 2t^3+2.3^t-2

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*LOOK AT PICTURE*<br> A) 8.45 in<br> B) 3.125 in<br> C) 6.25 in<br> D) 62.5 in
RUDIKE [14]
C. 6.25 in

Ratios and cross multiplication:
2 inches is to 130 feet as x is to 406.25 feet

2/130 = x/406.25
(2)(406.25) = (130)(x)
812.50 = 130x
Divide both sides by 130
x = 6.25
4 0
3 years ago
Select the correct answer. Consider these three numbers written in scientific notation: 6. 5 × 103, 5. 5 × 105, and 1. 1 × 103.
Karo-lina-s [1.5K]

Scientific notation uses expression which gives easy access of order. The greatest number is 5.5 \times 10^5 .It is greater by smallest number by 500  times.

<h3>How to convert a number to scientific notation?</h3>

It is usually of the form a.bc.. \times 10^kexponent of 10 starts)

(we have 1 ≤ |a| < 10 ) (where |a| is magnitude of a without sign)

This notation is used to get some idea of how large or small a number is in terms of power of 10.

<h3>What are some basic properties of exponentiation?</h3>

If we have a^bbase and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).

Exponentiation(the process of raising some number to some power) have some basic rules as:

a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\ a^b \times a^c = a^{b+c}

The given numbers are:

  • First number = 6.5 \times 10^3 = 6500
  • Second number = 5.5 \times 10^5 = 550000
  • Third number = 1.1 \times 10^3 = 1100

The smallest number is 1,100 and greatest is 550,000

Getting the division to get to know how many times the greatest number is larger than the smallest number, we get:

\dfrac{5.5 \times  10^5}{1.1 \times 10^3} = \dfrac{5.5 \times 10^{5-3}}{1.1} = \dfrac{5.5}{1.1} \times 10^2 = 5 \times 10^2 = 500

Thus, it is found that greatest number is 5.5 \times 10^5 . It is greater by smallest number by 500  times.

Learn more about scientific notation here:
brainly.com/question/3112062

6 0
3 years ago
JABDBS- what does X equal?
krek1111 [17]

Answer:

x = 5

Step-by-step explanation:

Given

\frac{20}{16} = \frac{x}{4} ( cross- multiply )

16x = 80 ( divide both sides by 16 )

x = 5

7 0
3 years ago
PLZ ANSWER THANK YOU
NikAS [45]

Answer:

1, x/3, x^2/9, x^3/27,  x^4/81


x^4 +3x^3+9x^2+27x+81

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

81


Step-by-step explanation:

(x/3) ^i

i=0   (x/3)^0 = 1

i=1   (x/3)^1 = x/3

i=2   (x/3)^2 = x^2/3^2 = x^2/9

i=3   (x/3)^3 = x^3/3^3 =x^3/27

i=4   (x/3)^4 = x^4/3^4 =x^4/81

The sum is

1+(x/3) + x^2/9 + x^3/27 + x^4/81

We need a common denominator of 81

1*81/81 + x/3 *27/27 + x^2/9 *9/9 + x^3/27 *3/3 + x^4/81

81+27x + 9x^2 + 3x^3 +x^4

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

81

Rewriting from largest power to smallest power

x^4 +3x^3+9x^2+27x+81

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

81


6 0
3 years ago
Angie and Kenny play online video games. Angie buys 1 software package and 2 months of game play. Kenny buys 2 software packages
fgiga [73]

Answer:

The cost of one month of game play is $16

Step-by-step explanation:

* <em>Lets change the information in the problem to equation and solve it</em>

- Angie and Kenny play online video games

- Angie buys 1 software package and 2 months of game play

- Kenny buys 2 software packages and 5 months of game play

- Each software package costs ​$25

- Their total cost is $187

- We need to find the cost of one month of game play

* <em>Lets find the cost of Angie buying and the cost of Kenny buying</em>

- Assume that the cost of one month of game play is $x

∵ The cost of each software package is $25

∵ The cost of each month of game play is $x

∵ Angie buys 1 software package and 2 months of game play

∴ The cost of Angie buying = 25 + 2x

∵ Kenny buys 2 software packages and 5 months of game play

∴ The cost of Kenny buying = 2(25) + 5x = 50 + 5x

- The total cost is the sum of the costs of Angie buying and

  Kenny buying

∵ The total cost is $187

∴ 25 + 2x + 50 + 5x = 187

- Add like terms

∴ 7x + 75 = 187

- Subtract 75 from both sides

∴ 7x = 112

- Divide both sides by 7

∴ x = 16

∵ x represents the cost of one month of game play

∴ The cost of one month of game play is $16

3 0
3 years ago
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