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Kipish [7]
3 years ago
5

Which is bigger : 30 or

alt=" \frac{4}{15} " align="absmiddle" class="latex-formula"> ?
Mathematics
1 answer:
jarptica [38.1K]3 years ago
8 0
30 can be written as 30/1 (I am including this information for the purpose of comparison). 30/1 has a larger numerator than its denominator which means that the, so its quotient will equal to more than 1.
However, 4/15 has a smaller numerator than its denominator, so 4 cannot be fully divided by 15. Therefore, the quotient will equal to less than 1.
This means that 30 is greater than 4/15.
(quick note: the quotient is the number you get from the division of two numbers)
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Answer:

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Step-by-step explanation:

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Lydia has half of her investments in stock paying an 11% dividend and the other half in a stock paying 14% interest. If her tota
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Based on the calculations, the amount of money she invested is equal to $3,520.

<h3>How to determine the amount invested?</h3>

First of all, we would assign variables to the amount of money that he invested at different interest rates as follows:

  • Let x be the amount of money she invested at 11%.
  • Let y be the amount of money she invested at 14%.

Since Lydia invested the same amount of money in both stocks, we have:

x = y     ....equation 1.

At the two interest rates, the total amount Lydia gets is given by:

0.11x + 0.14y = 440     ....equation 2.

Solving the equations simultaneously, we have:

0.11y + 0.14y = 440

0.25y = 440

y = 440/0.25

y = $1,760.

Thus, the total investment is given by:

Total investment = 1760 + 1760

Total investment = $3,520.

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8 0
1 year ago
An amount of 41,000 is borrowed for 15 years at 8.5% interest, compounded annually. If the loan is paid in full at the end of th
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Answer: $139390 must be paid back.

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

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

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r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount borrowed.

From the information given,

P = 41000

r = 8.5% = 8.5/100 = 0.085

n = 1 because it was compounded once in a year.

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Therefore,

A = 41000(1 + 0.085/1)^1 × 15

A = 41000(1 + 0.085)^15

A = 41000(1.085)^15

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As a fraction? If so, it would be 4/9.

Step-by-step explanation:

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