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FromTheMoon [43]
2 years ago
10

Tommy is ordering concrete for a construction project. The price of concrete is $.02 per pound. Concrete is also taxed at a rate

of $.03 per pound. If Tommy needs one ton of concrete, how much will he pay?
Mathematics
1 answer:
uysha [10]2 years ago
8 0

Answer:

$1000

Step-by-step explanation:

We are given that,

Price of concrete = 0.02 dollars per pound

Tax rate on concrete = 0.03 per pound

Thus, the total cost of the concrete = 0.02 + 0.03 = 0.05 dollars per pound

Since, we know,

1 pound = 0.0005 tons

As, Cost of 1 pound = $0.05

i.e. Cost of 0.0005 tons = $0.05

Then, cost of 1 ton = \frac{0.5}{0.0005} = $1000.

Hence, the cost Tommy needs to pay is $1000.

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Sean has 15,000 to invest she will put some of it into a fund that pays 4.5% annual interest in the rest in a certificate of dep
DENIUS [597]

Answer:$12500 was invested into the account that pays 4.5% annual interest..

$2500 was invested into the the certificate of deposit that pays 1.8% annual interest..

Step-by-step explanation:

Let x represent the amount invested into the account that pays 4.5% annual interest.

Let y represent the amount invested into the certificate of deposit that pays 1.8% annual interest.

Sean has 15,000 to invest. She will put some of it into a fund that pays 4.5% annual interest and the rest in a certificate of deposit that pays 1.8% annual interest. This means that

x = y + 15000

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

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T represents time in years

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Considering the account earning 4.5% interest, the interest would be

I = (x × 4.5 × 1)/100 = 0.045x

Considering the account earning 11% interest, the interest would be

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if she wants to earn 4.05% annual interest on the total amount, the amount would be

4.05/100 × 15000 = 607.5

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0.045x + 0.018y = 607.5 - - - - - - - - - - -1

Substituting x = 15000 - y into equation 1, it becomes

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675 - 0.045y + 0.018y = 607.5

- 0.045y + 0.018y = 607.5 - 675

- 0.027y = - 67.5

y = - 67.5/- 0.027

y = $2500

x = 15000 - y = 15000 - 2500

x = $12500

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