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Feliz [49]
2 years ago
10

Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is current

ly $30,541.83. How often does the interest compound?
Mathematics
1 answer:
exis [7]2 years ago
6 0

Answer:

n = 1, this means the interest compounds ANNUALLY.

Step-by-step explanation:

Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is currently $30,541.83. How often does the interest compound?

Compound Interest Formula

: A = P(1 + r/n)^nt

A = Amount after time t

P = Principal (Initial Amount Invested)

r = Interest rate

n = Number of times the interest is compounded

t = time in years

A = $30,541.83

r = 4.6% = 0.046

t = 30

P = $7,924

Hence,

$30,541.83 = $7924(1 + 0.046/n)^30n

Divide both sides by 7924

$30,541.93/$7924 = (1 + 0.046/n)^30n

$30,541.93/$7924 = (n + 0.046/n)^30n

3.8543576477 = (n + 0.046/n)^30n

We take the logarithm of both sides

log 3.8543576477 = log (n + 0.046/n)^30n

Solving for n,

n = 1

Therefore, from the calculation above, since n = 1, this means the interest compounds ANNUALLY.

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Katena32 [7]

Answer:

a. k = 27

b. k = 216

c. k = 0.216

Step-by-step explanation:

The value of the scale factor can be given by the following formula:

k = \frac{Final\ Volume}{Initial\ Volume}

where,

Initial Volume = 8 cubic units

a.

Final Volume = 216 cubic units

Therefore,

k = \frac{216\ cubic\ units}{8\ cubic\ units}

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b.

Final Volume = 1 cubic units

Therefore,

k = \frac{216\ cubic\ units}{1\ cubic\ units}

<u>k = 216</u>

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c.

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A blimp provides aerial television views of a tennis game. The television camera sights the stadium at a 17degrees angle of depr
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Answer:

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Step-by-step explanation:

As given

A blimp provides aerial television views of a tennis game.

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Now by using the trignometric identity .

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Putting all the values in the identity .

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Answer:

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Step-by-step explanation:

The first equation is -5m+15

and the first one is 15-5m

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Glad to help

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