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bulgar [2K]
3 years ago
12

Find the value of x in degrees

Mathematics
1 answer:
ipn [44]3 years ago
4 0

Answer:

x=37

Step-by-step explanation:

angles inside a triangle add up to 180

add all angles equal to 180

(x+10)+(3x-5)+(x)=180

remove parenthesis, combine like terms

5x-5=180

add 5 both sides

5x=185

divide by 5

x=37

angles: 37, 47, 106

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Find the interest rate needed for the sinking fund to reach the required amount. Assume that the compounding period is the same
Maslowich

Answer:

so rate is 4.72 %

Step-by-step explanation:

Given data

time (t) = 5 year  = 5×4 = 20 quarterly

amount = $27456

principal = $1225

to find out

interest rate (r)

solution

we use here amount formula that is

amount = principal ((1+r)^{t} -1 ) / r      .....................1

put all value principal , amount and time in equation 1 and we get rate

rate is r/4 because it is quarterly payment

amount = principal ((1+r/4)^{t} -1 ) / r/4

27456 = 1225 ((1+r/4)^{20} -1 ) / r/4

((1+r/4)^{20} -1 ) / r/4  = 27456/ 1225

((1+r)^{20} -1 ) / r  = 27456/ (1225 × 4)

((1+r)^{20} -1 ) = r 27456/ (1225 × 4)

now by the tvm solver and amount  $27456

graph value

we get r = 0.0472

so rate is 4.72 %

5 0
3 years ago
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Brainliest!! I'll do anything if u help me
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Answer:

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4 0
3 years ago
An airplane is flying at 180mph. A jet flying at 330 mph leaves 1 hour later traveling in the same direction. How long will it t
zimovet [89]

To solve this problem, let us first assign some variables. Let us say that:

v1 = velocity of airplane = 180 mph

t1 = time travelled by airplane

v2 = velocity of jet = 330 mph

t2 = time travelled by jet

 

Since we know that distance is the product of velocity and time, and that the distance travelled by the two must be equal for the jet to catch up to the plane, hence:

v1 * t1 = v2 * t2

But we know that:

t1 = t2 + 1

Therefore:

180 (t2 + 1) = 330 t2

180 t2 + 180 = 330 t2

150 t2 = 180

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4 0
3 years ago
Simplify ten to the eighth divided by ten to the negative third.
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Answer:

10^{11}

Step-by-step explanation:

A statement is given i.e. "ten to the eighth divided by ten to the negative third."

It means that 10 to power 8 divided by 10 to the power -3.

Mathematically,

\dfrac{10^8}{10^{-3}}

We know that, \dfrac{x^a}{x^b}=x^{a-b}

Here, x = 10, a = 8 and b = -3

So,

\dfrac{10^8}{10^{-3}}=10^{8-(-3)}\\\\=10^{8+3}\\\\=10^{11}

So, the answer is 10^{11}

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A container holds 500 ml of liquid. How many liters will the container hold
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Step-by-step explanation:

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