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BlackZzzverrR [31]
3 years ago
6

Find the volume of a cone with a height of 7yd and a base diameter of 6yd . use the value 3.14 for π , and do not do any roundin

g. be sure to include the correct unit in your answer.
Mathematics
1 answer:
____ [38]3 years ago
6 0
I think the volume of the cone is 65.94yd because the radius is 3 and the height is 7 also 3 to the second power equals 9 then 3.14 multiplied by 9 equals 28.26 and finally 28.26 multiplied by 7/3 equals 65.94

V=3.14 x r^2 h/3
V=3.14 x 3^2 7/3
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Answer:

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4 0
3 years ago
A farm raises cows and chickens. The farmer has a total of 40 animals. One day he counts the legs of all his animals and realize
allsm [11]

Answer: the farmer has 19 cows.

Step-by-step explanation:

Let x represent the number of cows that the farmer has.

Let y represent the number of chicken that the farmer has.

The farmer has a total of 40 animals. It means that

x + y = 40

A cow has 4 legs. A chicken has 2 legs. One day he counts the legs of all his animals and realizes he has a total of 118 legs. It means that

4x + 2y = 118- - - - - - - - 1

Substituting x = 40 - y into equation 1, it becomes

4(40 - y) + 2y = 118

160 - 4y + 2y = 118

- 4y + 2y = 118 - 160

- 2y = - 42

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8 0
3 years ago
Paul wants to buy a car. He needs to take out a loan for $7000. The car salesman offers him a loan with an interest rate of 8%,
Alisiya [41]

Answer:

a. It will take approximately 40 months

b. The total amount Paul has to pay is approximately $8,000

c. The amount Paul pays each month is approximately $316.59

d. The amount Paul has to pay is approximately $7,598.16

e. Lower monthly payment

f. Lower total payment amount (amount to be paid)

Step-by-step explanation:

a. The loan amount, PV = $7,000

The annual interest rate, r = 8%

Option 1; The amount of equal monthly payment to repay the loan = $200

Option 2; The number of equal monthly payment to repay the loan = 24

The formula for the present value of an annuity is given as follows;

PMT = \dfrac{\dfrac{r}{12}  \times PV}{1 - \left (1 + \dfrac{r}{12} \right)^{-n}}

Where;

PMT = The monthly payment

n = The number of months

Where PMT = $200, we have;

200 = \dfrac{\dfrac{0.08}{12}  \times 7,000}{1 - \left (1 + \dfrac{0.08}{12} \right)^{-n}}

1 - \dfrac{\dfrac{0.08}{12}  \times 7,000}{200}  = \left (1 + \dfrac{0.08}{12} \right)^{-n}

1 - \dfrac{7}{30}  = \dfrac{23}{30} =  \left ( \dfrac{151}{150} \right)^{-n}

-n = \dfrac{ ln \left(\dfrac{23}{30} \right)}{ln\left(\dfrac{151}{150} \right) } \approx -39.988

∴ The number of months it will take for Paul to repay the loan, n ≈ 39.988 ≈ 40 months

b. The total amount Paul has to pay, A = PMT × n

Therefore, b plugging in the values of PMT, and 'n', we get;

A ≈ $200 × 40 = $8,000

c. Using option 2, we have;

n = 24

Therefore;

PMT = \dfrac{\dfrac{0.08}{12}  \times 7,000}{1 - \left (1 + \dfrac{0.08}{12} \right)^{-24}} \approx 316.59

The monthly payment, PMT ≈ $316.59

d. The total amount Paul has to pay using option 2, A ≈ 316.59 × 24 = 7,598.16

The total amount Paul has to pay using option 2, A ≈ $7,598.16

e. A reason why Paul might choose option 1 is that option 1 offers lower monthly payment

f. A reason why Paul may choose option 2 is that option 2 offers a lower total amount that he has to pay.

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Step-by-step explanation:

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Answer:

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3 years ago
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