24 bottles of water at Costco cost $3.99 what is the unit rate?

liubo4ka [24]

Answer:

The correct option is B.

Step-by-step explanation:

The amount of money, in dollars, in a savings account after x years is given by $M(x) = 10000(1.03)^{x}$

This above equation represents that $10000 becomes M(x) after x years at a rate of interest 3% compounded in each year.

Therefore, the value in the expression 1.03 represents that there is a 3 percent increase in the savings account each year.

So, the correct option is B. (Answer)

8 0

3 years ago

-2(3x-1)<8 on a number line

Veronika [31]

Answer:

Checkout the image below the explanation.

Step-by-step explanation:

1. First, let's solve the inequality.

Step 1: Simplify both sides of the inequality.

$-6x + 2 < 8$

Step 2: Subtract 2 from both sides.

$-6x + 2 - 2 < 8 - 2$
$-6x < 6$

Step 3: Divide both sides by -6 and flip the sign.

$\frac{-6x}{-6} < \frac{6}{-6}$
$x > -1$

2. Now that we solved the inequality and got x > -1, that means that all values of x are more than -1. It can be represented on the number-line as this:

7 0

2 years ago

48 worksheets : 12 students. write yhe ratio as a fraction in simplest form.

Gennadij [26K]

48/12 = 24•2/6•2= 24/6= 12•2/3•2= 12/3= 4/1

In simplest form the ratio is
4 worksheets : 1 student

4 0

3 years ago

Plzz help me with the correct ans find x

Tresset [83]

Answer:

15

Step-by-step explanation:

Since, triangle ABC is the enlargement of triangle XYZ.

$\therefore \triangle ABC \sim \triangle XYZ$

So, corresponding sides of both the triangles would be in proportion.

$\therefore \frac{x}{6}=\frac{25}{10}$

$\therefore x= \frac{6\times 25}{10}$

$\therefore x =\frac{150}{10}$

$\therefore x = 15$

3 0

3 years ago

Read 2 more answers

The amount of toothpaste in a tube is normally distributed with a mean of 6.5 ounces and a standard

Anarel [89]

Answer:

a) 266 tubes , TC_r = $53.2

b) 266 tubes , T.Loss = $13.30

Step-by-step explanation:

Given:

- The sample size of tubes n = 1,000 tubes

- The mean of the sample u = 6.5 oz

- The standard deviation of the sample s.d = 0.8 oz

- Cost of manufacturing a tube C_t = 50 cents

- Cost of refilling a tube C_r = 20 cents

- Profit loss per tube Loss = 5 cents

Find:

a). How many tubes will be found to contain less than 6 ounces? In that case, what will be the total cost of the refill?

b) How many tubes will be found to contain more than 7 ounces? In that case, what will be the amount of profit lost?

Solution:

- First we will compute the probability of tube containing less than 6 oz.

- Declaring X : The amount of toothpaste.

Where, X ~ N ( 6.5 , 0.8 )

- We need to compute P ( X < 6 oz )?

Compute the Z-score value:

P ( X < 6 oz ) = P ( Z < (6 - 6.5) / 0.8 ) = P ( Z < -0.625 )

Use the Z table to find the probability:

P ( X < 6 oz ) = P ( Z < -0.625 ) = 0.266

- The probability that it lies below 6 ounces. The total sample size is n = 1000.

The number of tubes with X < 6 ounces = 1000* P ( X < 6 oz )

= 1000*0.266 = 266 tubes.

- The total cost of refill:

TC_r = C_f*(number of tubes with X < 6)

TC_r = 20*266 = 5320 cents = $53.2

- We need to compute P ( X > 7 oz )?

Compute the Z-score value:

P ( X > 7 oz ) = P ( Z > (7 - 6.5) / 0.8 ) = P ( Z < 0.625 )

Use the Z table to find the probability:

P ( X > 7 oz ) = P ( Z > 0.625 ) = 0.266

- The probability that it lies above 7 ounces. The total sample size is n = 1000.

The number of tubes with X > 7 ounces = 1000* P ( X > 7 oz )

= 1000*0.266 = 266 tubes.

- The total cost of refill:

T.Loss = Loss*(number of tubes with X > 7)

T.Loss = 5*266 = 1330 cents = $13.30

5 0

2 years ago