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bonufazy [111]
2 years ago
5

A 15 meter long cable is used to support a telephone pole, holding it perpendicular to the ground. If the cable forms a 38° angl

e with the ground, how high up the pole should the cable be attached?
a) 5 meters
b) 9.2 meters
c) 12 meters
d) 24.4 meters
Mathematics
1 answer:
mezya [45]2 years ago
8 0

Answer:

Step-by-step explanation:

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The sum of five and three times a number
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5 x 3 = 15 is this correct
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Madeline received $300 for her birthday. She deposits it into a savings account with an interest rate of 2.45%. She makes monthl
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Answer:

  b.  $1,587.57

Step-by-step explanation:

A financial calculator will tell you the value of Madeline's account after  8 years will be $16,287.57. In that time, she will have deposited ...

  $300 +96×150 = $14,700

The interest earned is the difference between her account balance and the amount she deposited:

  $16,287.57 -14,700 = $1,587.57 . . . interest earned

_____

<em>Account value calculation</em>

The future value of the initial $300 deposit after 8 years is ...

  A = P(1 +r/n)^(nt)

for principal P earning annual rate r compounded n times per year for t years.

  A = $300(1 +0.0245/12)^(12·8) ≈ $364.89

The future value of the sum of $150 deposits monthly (at the beginning of the month) will be ...

  A = $150((1+r/n)^(nt) -1)(1 +n/r) = $15,922.68

So, the total value of Madeline's account in 8 years is ...

  $364.89 +15,922.68 = $16,287.57

_____

<em>Comment on account value</em>

In problems of this nature, it is always necessary to determine when the deposits are made relative to when the account value is measured. Here, we assume the $300 deposit is immediate, and its value is measured 8 years hence.

The monthly deposits are not described in that detail. In order to get any of the numbers in the answer list, we need to assume the deposits are at the beginning of the month. If we assume they are at the end of the month, the amount of interest is reduced by about $33.18, the last month's interest.

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Answer:

18x-3

Step-by-step explanation:

f(x)= 3x + 10x

g(x)=5x - 3

f(x)+g(x) = 3x + 10x + 5x - 3

Combine like terms

             = 18x -3

6 0
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6 1/2 - 2 3/4 = 3 3/4
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2 years ago
What is 8 gallons in pints
nikitadnepr [17]

Answer:

64 pints is 8 gallons

Step-by-step explanation:

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