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yulyashka [42]
3 years ago
8

suppose you have $11000 to invest. which of the two rates would yield the larger amount in 5 years: 6% compounded monthly or 5.8

6% compounded continuously?
Mathematics
1 answer:
umka21 [38]3 years ago
6 0

Answer:

  6% monthly

Step-by-step explanation:

The monthly rate being compounded when the interest is 6% per year is ...

  6%/12 = 0.5%

so the multiplier each month is

  1 + 0.5% = 1.005

___

The monthly multiplier when 5.86% is compounded continuously is ...

  e^(5.86%/12) ≈ 1.004895

The 6% rate will give a larger yield after any length of time.

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What number makes the expressions equivalent? Enter your answer in the box. 12 (–1.4m + 0.4) = m + 0.2
True [87]

Answer:

0.2584

Step-by-step explanation:

12 (–1.4m + 0.4) = m + 0.2

Open the bracket

-16.8m + 4.8 = m + 0.2

collect like terms

-16.8m - m = -4.8 + 0.2

-17.8m = -4.6

Divide both sides by -17.8

m = 4.6/17.8 = 46/178

m = 0.2584

5 0
3 years ago
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In around of golf, the lowest score wins. At the end of a round you have score -3 and your friend has score -4. Who won the roun
scoray [572]

Answer: The friend won the round.

Step-by-step explanation:

We want to find the lowest score.

The lowest score means the smallest value.

With intergers, as the number gets farther away from zero to the left, the smaller the value is. The middle number is zero on a number line. The numbers to the left of zero are negative. The number to the write of zero are positive.

As you move to the left on the number line, the numbers get smaller. As you move to the right on  a number line, the values get bigger

Since -4 is farther away from zero to the left on a number line than -3, -4 is smaller.

Hence -4 is smaller than -3. -4 is one more to the left than -3 so -4 is smaller than -3.

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2 years ago
Explanation how solve step by step 2/7m-1/7=3/14
Drupady [299]

Answer:

m = 25/28

Step-by-step explanation:

It's best to enclose fractional coefficients inside parentheses to eliminate ambiquity:   2/7m-1/7=3/14 => (2/7(m - (1/7) = (3/14).

The LCD is 14; each of the denominators {7, 14} divides evenly into 14.  Hence our equation becomes

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Let's multiply each side by 7 to eliminate the remaining fraction:

4(7m - 1) = 21, or

28m - 4 = 21, or

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Hence, m = 25/28.

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