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timofeeve [1]
3 years ago
9

Please help As Soon As Possible

Mathematics
1 answer:
vesna_86 [32]3 years ago
4 0

Answer:

9.0 ft

Step-by-step explanation:

Let the distance from the bottom of the board to the edge of the wall be represented as "x"

Angle measure = θ = 53.13°

Hypotenuse = 15 ft

Adjacent side = x ft

The trigonometric ratio we would apply would be CAH:

Thus,

Cosine θ = Adjacent/Hypotenuse

Plug in the values

Cos 53.13° = x/15

Multiply both sides by 15

15 * Cos 53.13 = x

9.00002143 = x

x ≈ 9.0 ft (nearest tenth)

Therefore, distance from the bottom of the board to the edge of the wall = 9.0 ft

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3 years ago
When given a rate of 8% and a time of 2 years and an interest earned of $108, what is the principal and the new balance?
Lerok [7]

Answer:

Principal Value = $93.103

New Balance = $201.103

Step-by-step explanation:

Given:

Rate=R = 8%

Time =t= 2 years

Money earned = $108

To Find:

Principal interest = ?

New balance = ?

Solution:

The formula for Interest is

A = P(1+rt)

here A = $108, r= R/100 = 8/100 and t= 2

To Find

P=?

Now we have all values putting them in the formula we get

108 = P(1+\frac{8}{100}*2)

108=P(1+\frac{8}{50})

taking LCM and solving

108=P(\frac{50+8}{50})

108=P(\frac{58}{50})

Multiplying both sides by \frac{50}{58} we get

108*\frac{50}{58}=P(\frac{58}{50}*\frac{50}{58})

we will get

P=108*\frac{50}{58}

P=\frac{5400}{58}

We get

P = $93.103

so Principal Value is $93.103

Now

New balance = Principal value + Interest earned

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New Balance = $201.103


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