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Mashutka [201]
3 years ago
11

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Mathematics
1 answer:
Troyanec [42]3 years ago
8 0

Answer: 300

Step-by-step explanation:

Let the number be represented by x.

Therefore, based on the information given in the question, this can be expressed as:

36% of x = 108

36/100 × x = 108

0.36 × x = 108

0.36x = 108

x = 108/0.36

x = 300

Therefore, the number is 300

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vodka [1.7K]

Answer:

28 ft

Step-by-step explanation:

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2 years ago
Paul has $40000 to invest. His intent is to earn 9% interest on his investment. He can invest part of his money at 6% and part a
Black_prince [1.1K]

Paul needs to invest $10000 at 6% interest and $30000 at 10% interest to make a total of 9% return on his $40000.

<em><u>Explanation</u></em>

Suppose, the amount of money at 6% interest is x

As Paul has total $40000 to invest, so the amount of money at 10% interest will be: (40000-x) dollar

His intent is to earn 9% interest on his $40000 investment. So, the equation will be......

0.06x+0.10(40000-x)=0.09*40000\\ \\ 0.06x+4000-0.10x=3600\\ \\ -0.04x=3600-4000=-400\\ \\ x=\frac{-400}{-0.04}=10000

So, Paul needs to invest <u>$10000 at 6% interest</u> and ($40000- $10000) or <u>$30000 at 10% interest </u>to make a total of 9% return on his $40000.

3 0
3 years ago
Read 2 more answers
5. In the triangle ABC. M is the midpoint of [AB] and N is the midpoint of [CM].
sweet [91]

Answer:

N(2,3)

Step-by-step explanation:

According to the Question,

  • Given that, In the triangle ABC. M is the midpoint of AB and N is the midpoint of CM And A(-1, 3), B(7-3) and C(1,6).
  • Thus, For coordinates of N. first We have to find the Coordinate of M(x,y). As Given M is the Midpoint of A(-1, 3) and B(7-3).

Thus, M(x,y) = (-1+7)/2 , (3-3)/2 ⇒ M(3,0)

  • Now, As Given, N(a,b) is the Midpoint Of C(1,6) and M(3,0).

Thus. N(a,b) = (1+3)/2 , (6+0)/2  ⇒ N(2,3)

8 0
3 years ago
What fraction of a day is 14 hours
Naily [24]
In a day there are 24 hours (obviously)...
so then you put 14/24 then you simplify this fraction to the lowest term....
divide both numbers by 2 which is 7/12...
i hope this helped :)
7 0
3 years ago
Read 2 more answers
Trigonometry<br> Special Right Triangles<br> Find the exact value of sec 60* - cosec 30* - sin 0*.
evablogger [386]

Answer:

0

Step-by-step explanation:

cos(60) = ½

sec(60) = 2

sin(30) = ½

cosec(30) = 2

sin(0) = 0

2 - 2 - 0 = 0

8 0
3 years ago
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