A(n) of a number is one of two indentical factors of the number

To avoid mildew and mold, Clay's new oat barn has an open shaft lengthwise through the barn with small holes drilled throughout

Nadusha1986 [10]

Answer:

Therefore, Clay can order 1,776 cubic feet of oats.

Step-by-step explanation:

To determine how many cubic feet of oats the barn can hold, break the barn up into three sections, the rectangular prism that makes up the bottom section of the barn, the triangular prism that makes up the top of the barn, and the rectangular prism that makes up the shaft.

The rectangular prism that makes up the bottom section of the barn is 12 feet wide, 16 feet long, and 8 feet high. Use the formula for the volume of a rectangular prism to find the volume.

Therefore, the volume of the bottom rectangular prism is 1,536 cubic feet.

The triangular prism that makes up the top section of the barn is 12 feet wide, 4 feet high, and 16 feet long. Use the formula for the volume of a triangular prism to find the volume.

Therefore, the volume of the top triangular prism is 384 cubic feet.The rectangular prism that makes up the shaft through the barn 3 feet wide, 3 feet high, and 16 feet long. Use the formula for the volume of a rectangular prism to find the volume.

Therefore, the volume of the shaft is 144 cubic feet.

The total volume available to store oats is the volume of the bottom section plus the volume of the top section minus the volume of the shaft.

4 0

3 years ago

If Ms. P wants to withdraw $900 from an account earning 4% average annual interest rate at the start of each year for 7 years, h

Ksju [112]

Answer:

Amount he must have in his account today is $5,617.92

Step-by-step explanation:

Data provided in the question:

Regular withdraw amount = $900

Average annual interest rate, i = 4% = 0.04

Time, n = 7 years

Now,

Present Value = $C \times\left[ \frac{1-(1+i)^{-n}}{i} \right] \times(1 + i)$

here,

C = Regular withdraw amount

Thus,

Present Value = $C \times\left[ \frac{1-(1+i)^{-n}}{i} \right] \times(1 + i)$

Present Value = $900 \times\left[ \frac{1-(1+0.04)^{-7}}{ 0.04 } \right] \times(1 + 0.04)$

Present Value = $936 \times\left[ \frac{1 - 1.04^{-7}}{ 0.04} \right]$

Present Value = $936 \times\left[ \frac{1 - 0.759918}{ 0.04} \right]$

Present Value = 936 × 6.00205

or

Present Value = $5,617.92

Hence,

Amount he must have in his account today is $5,617.92

7 0

3 years ago

How bad is the heavy traffic? You can walk 15

Butoxors [25]

Answer:

Average rate of car: x+3

Walking rate: x

The equation is

10/15 = x/x+3

So

x = 6

So

Average rate of car: 9 mph

Walking rate: 6 mph

Step-by-step explanation:

6 0

3 years ago

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Ce qui est cent fois vingt

m_a_m_a [10]

Answer:

2000

Step-by-step explanation:

7 0

3 years ago

Jenni is comparing the cost of two packages of socks. One package has 8 pairs of socks for $12. Another package had 3 pairs of s

Oksi-84 [34.3K]

No, because if you add on 6 more dollars to package 2 you would only have 6 socks for 12 dollars and on package A you would have 8 pairs for 12 dollars.

8 0

3 years ago

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