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Cloud [144]
3 years ago
10

.

Mathematics
1 answer:
maw [93]3 years ago
8 0

9514 1404 393

Answer:

  • $3000 at 8%
  • $4000 at 6%

Step-by-step explanation:

Let x represent the amount invested at 8%. Then the total interest earned is ...

  0.06(7000 -x) +0.08x = 480

  420 +0.02x = 480 . . . . . . . . . eliminate parentheses

  0.02x = 60 . . . . . . . . . . subtract 420

  x = 60/0.02 = 3000 . . . . . divide by the coefficient of x

$3000 was invested at 8%; $4000 was invested at 6%.

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Eduardo counted ten seconds (y) between seeing lightning and hearing thunder, and he knew that the lightning was about 2 miles (
Fed [463]

Answer:

The equation for the variation is:

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Step-by-step explanation:

The relationship is given by the quotient between the two variables: (1) distance of the storm, and (2) the number of seconds to hear the thunder. That is:

\frac{Miles}{thunder\,\,time } =\frac{2}{10} =0.2\,\frac{mi}{s}

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7. There are 19 red marbles for every black marble. If there are 120 marbles in the bag, how many red marbles are there? Explain
boyakko [2]

Answer:

114 marbles.

Step-by-step explanation:

Let the number of red marbles be r

Let the number of black marbles be b

<u>Given the following data;</u>

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Translating the word problem into an algebraic equation, we have;

r = 19b .......equation 1

r + b = 120 ........equation 2

Substituting the value of "r" into equation 2, we have;

19b + b = 120

20b = 120

b = \frac {120}{20}

b = 6 marbles.

To find the number of red marbles;

From equation 1;

r = 19b

Substituting the value of "b" into equation 1, we have;

r = 19*6

<em>r = 114 marbles.</em>

<em>Therefore, there are 114 red marbles in the bag. </em>

6 0
3 years ago
Simplify. 2√(6√−10−−√) 23√−25√ −22√ 32√−25√ 23√−52√
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Answer:

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Step-by-step explanation

3 0
3 years ago
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I need help with this can someone please please help me
Nonamiya [84]

Answer:

SAS

Step-by-step explanation:

3 0
4 years ago
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