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elena-s [515]
3 years ago
11

3) The cost of different sizes of orange juice are shown in the table.

Mathematics
2 answers:
Paladinen [302]3 years ago
7 0

Answer:

D. $0.035 per ounce.

Step-by-step explanation:

We have been given a table. We are asked to find the container that costs the least per ounce.

Let us find per ounce cost of each container as:

A. \frac{\$1.28}{\text{16 oz}}=\frac{\$0.08}{\text{oz}}

B. \frac{\$1.92}{\text{32 oz}}=\frac{\$0.06}{\text{oz}}

C. \frac{\$2.56}{\text{64 oz}}=\frac{\$0.04}{\text{oz}}

D. \frac{\$1.92}{\text{96 oz}}=\frac{\$0.035}{\text{oz}}

Therefore, the container with 96 oz for $3.36 costs the least per ounce.

swat323 years ago
3 0

1.28/16=0.08  

8¢ per oz

1.92/32=0.06

6¢ per oz

2.56/64=0.04

4¢ per oz

3.36/96=0.035

3.5¢ per oz

The 96 oz orange juice for $3.36 costs the least per oz.

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nordsb [41]
Hello!

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Hope this helps!
7 0
3 years ago
In 2 years, you want to have $5000 in your savings account. Find the amount you should deposit if the account pays 3% annual int
muminat

The amount you should deposit is $4709.18

Step-by-step explanation:

The formula for compound interest, including principal sum is

A=P(1+\frac{r}{n})^{nt} , where:

  • A is the future value of the investment/loan, including interest
  • P is the principal investment amount
  • r is the annual interest rate in decimal
  • n is the number of times that interest is compounded per unit t
  • t is the time the money is invested or borrowed for

∵ You want to have $5000 in your savings account in 2 years

∴ A = 5000

∴ t = 2

∵ The account pays 3% annual interest, compounded monthly

∴ r = 3% = 3 ÷ 100 = 0.03

∴ n = 12 ⇒ compounded monthly

- Substitute these values in the formula above

∴ 5000=P(1+\frac{0.03}{12})^{(12)(2)}

∴ 5000=P(1+0.0025)^{24}

∴ 5000=P(1.0025)^{24}

- Divide both sides by (1.0025)^{24}

∴ P = 4709.18

The amount you should deposit is $4709.18

Learn more:

You can learn more about the compounded interest in brainly.com/question/2514241

#LearnwithBrainly

3 0
3 years ago
What is the radian measure for an angle that measures 720 degrees?
Scrat [10]

Answer:

720 degrees =  \frac{\pi}{4}\ radians or 0.785 radians.

Step-by-step explanation:

Given:

The angle in degrees in given as 720°

We need to convert this to radians.

Now, we know that, the relation between degrees and radians is given as:

180 degree = π radians

Therefore, using unitary method, the value of 1 degree can be calculated.

∴ 1 degree = \frac{\pi}{180}\ radians

Now, the value of 720 degrees can be calculated by multiplying the unit value and 720. So,

720\ degrees=\frac{\pi}{180}\times 720\ radians\\\\ 720\ degrees =\frac{720\pi}{180}\\\\720\ degrees =\frac{\pi}{4}\ radians=0.785\ radians

Hence, the measure of 720 degrees in radians is \frac{\pi}{4}\ radians or 0.25π radians or 0.785 radians.

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