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3 years ago

If two-thirds of Sam's weekly income is $480, what is one-fourth of his weekly income?

Mathematics

2 answers:

navik [9.2K]3 years ago

4 0

Answer: $180

Step-by-step explanation:

We need to analize the information provided. We know that $480 is two-thirds $(\frac{2}{3})$ of Sam's weekly income.

Then, let me "x" one-fourth ( $\frac{1}{4}$ ) of Sam's weekly income. Based on the information, we can write the following expression:

$x=\frac{(\frac{1}{4})(\$480)}{\frac{2}{3} }\\\\x=\$180$

Butoxors [25]3 years ago

3 0

Answer:

180$

Step-by-step explanation:

If two-thirds of Sam's weekly income is $480

so total is $720

720$/4= 180$

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Find the area when the circumference is 50.24 cm

nevsk [136]

Answer:

201

Step-by-step explanation:

C = 2pi.R

50.24/2pi = R

R= 8

area = pi R² = pi x 8² = 201

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2 years ago

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

exis [7]

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

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t = 30

P = $7,924

Hence,

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

Divide both sides by 7924

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$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

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2 years ago

What is the inverse of the function y=4x+5

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Answer:

the answer for this question is (y-5)/4=x

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

A group of individuals were surveyed about their plans for vacation. There were 21 individuals who said they were going to the d

Alexeev081 [22]

Answer:

140 individuals were surveyed

42 people are planning on going to the mountains

Step-by-step explanation:

The question is missing the information regarding the percentage of people who said that they were going to each of the possible destinations. After a quick google search I've found that, in the original question, 32% of individuals were going to the beach, 15% to the desert, 23% to major cities, and 30% to the mountains.

If 21 people said they were going to the desert, and that corresponds to 15% of the total number of people surveyed, the number of people surveyed is:

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Since 30% responded "the mountains", the number of people planning on going to the mountains is:

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3 years ago