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notsponge [240]
3 years ago
14

Ralph is estimating the cost of concrete to build a slab. The slab will have a length of 12 feet, a width of 9 feet, and a thick

ness of 6 inches.
He will order 10% extra concrete to allow for spillage. The cost of concrete is $85 per cubic yard. How much does Ralph need to spend on
concrete for the job?
Mathematics
1 answer:
snow_lady [41]3 years ago
4 0

Answer:

$20196

Step-by-step explanation:

12 × 9 × 6 = 648 cubic feet ( volume of slab )

3 feet to a yard

So 648 ÷ 3 = 216

Multiply this by 1.1 to add an extra 10%

237.6 Cubic Yards Needed

$85 × 237.6 = $ 20196

Hope this helps

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Answer:

4.7

Step-by-step explanation:

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2 years ago
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F $1,000 is deposited in a certain bank account and remains in the account along with any accumulated interest, the dollar amoun
Whitepunk [10]

Answer:

(1) The annual interest rate is 10%, that is greater than 8%

(2) The annual interest is bigger than 22.47% and that is greater than 8%

Step-by-step explanation:

We have the equation:

I=1,000((1+\frac{r}{100} )^{n} -1)

Where I is the earns in interest, n is the number of years and r is the annual interest rate.

For the first case, we can replace I by $210 and n by 2 as:

210=1,000((1+\frac{r}{100} )^{2} -1)

Solving for r, we get:

\frac{210}{1,000} = (1+\frac{r}{100})^{2} -1

0.21 +1 = (1+\frac{r}{100})^{2}

1.21 = (1+\frac{r}{100})^{2}

\sqrt{1.21} = 1 + \frac{r}{100}

\sqrt{1.21} - 1 = \frac{r}{100}

(\sqrt{1.21} - 1)100=r

10=r

So, for the first case, the interest rate paid by the bank is 10% and it is greater than 8%

For the second case, we need to take the equation and solve for r as:

(1+\frac{r}{100} )^{2} >1.5

1+\frac{r}{100} > \sqrt{1.5}

\frac{r}{100} > \sqrt{1.5}-1

r > (\sqrt{1.5}-1)*100

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So, for the second case the rate need to be bigger than 22.47% and that is bigger than 8%

5 0
3 years ago
On april 1 of the current year, a company purchased and placed in service a machine with a cost of $240,000. the company estimat
Viktor [21]

The answers to the questions are:

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a. <u>the straight-line method of depreciation</u>

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= (240000 - 60000) / 4 * (9 / 12)

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The debit is 33750 as well as the credit

b. <u> the units-of-production method of depreciation</u>

(240000 - 60000) / 60000 * 12000

= $36000

c. <u>the double-declining balance method of depreciation</u>

(24000 *2 /4) * (9/12)

= $90000

Read more on depreciation here: brainly.com/question/1203926

#SPJ1

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