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2 years ago

Suppose v varies directly as g,and v = 36 when g = 4.Find v when g = 11.

Mathematics

1 answer:

Bogdan [553]2 years ago

6 0

Answer:

V ∝ g

⇒ V = Kg

When V = 36 and g = 4, substitute into the formula above

⇒ 36 = K x 4

K = 9

The equation then becomes

V = 9g

when g = 11

V = 9 x 11

V = 99

Step-by-step explanation:

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3 years ago

A company deposits $5,000 into an account that earns interest. The rate at which the value changes is given by dA/dt=0.0225A, wh

xxMikexx [17]

Answer:

$6261.61

Step-by-step explanation:

The solution to the differential equation is the exponential function ...

A(t) = 5000e^(0.0225t)

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The value of the account after 10 years will be $6,261.61.

_____

The rate of change equation basically tells you that interest is compounded continuously. After working interest problems for a while you know the formula for that is the exponential formula A = A0·e^(rt).

Or, you can solve the differential equation using separation of variables:

dA/A = 0.0225dt

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7 0

3 years ago

On May 17th Jane took out a loan for $33,000 at 6% to open her law practice office the loan will mature the following year on Ja

frosja888 [35]

Answer:

$ 31050

Step-by-step explanation:

Step 1 : Write the formula for calculating simple interest.

Simple Interest = P x R x T

100

P: Principal Amount-The loan taken (30,000)

R: Interest rate at which the loan is give (6)

T: Time period of the loan in years-there are 12 months in 1 year. There are 7 months from May till June (7/12)

Step 2: Substitute values in the formula

Simple Interest = 30,000 x 6 x 7/12

100

Simple Interest = $1050

Step 3: Calculate the amount due at maturity

At the maturity or the end of the time period given, the original or principal amount of the loan has to be repaid along with the simple interest.

Amount at maturity = Principal Amount + Simple Interet

Amount at maturity = 30,000 + 1050

Amount at maturity = $31050

4 0

3 years ago

What is the answer to 3/4 +1/3

Elis [28]

Well, to add fractions, you need to find a common denominator. In this case, the smallest common denominator would be 12. So you must multiply each fraction so that both denominators are 12.
3/4*3/3=9/12
1/3*4/4=4/12
Add those two fractions together, reduce if possible, and you have your answer!
9/12+4/12=13/12
You can't reduce, so 13/12 is your answer.
Hope it helps!
-Lacy

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3 years ago

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g100num [7]

Answer:

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2 years ago