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hodyreva [135]
4 years ago
14

How much would $200 invested at 6% interest compounded annually be worth after 5 years? Round your answer to the nearest cent. D

o not include units in your answer.
Mathematics
1 answer:
BartSMP [9]4 years ago
4 0
The answer is 267.65

A = P(1 + r/n)ⁿˣ
A - the future value
P - the principal
r - the annual rate
n - the number of compoundings per year
x - the period of time

We know:
A = ?
P = $200
r = 6% = 6%/100% = 0.06
n = 1 (annualy means once per year)
x = 5

A = P(1 + r/n)ⁿˣ
A = 200 * (1 + 0.06/1)¹*⁵
A = 200 * (1 + 0.06)⁵
A = 200 * (1.06)⁵
A = 267.65
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Find the length of the missing side. triangle with an 8 inch side and 12 inch side with a right angle 8.9 in. 104 in. 4 in 14.4
Mamont248 [21]

Given:

In a triangle, length of one side is 8 inches and length of another side is 12 inches, and an angle is a right angle.

To find:

The length of the missing side.

Solution:

In a right angle triangle,

Hypotenuse^2=Perpendicular^2+Base^2

Suppose the measures of sides adjacent to the right angle are 8 inches and 12 inches.  

Substituting Perpendicular = 8 inches and Base = 12 inches, we get

Hypotenuse^2=8^2+12^2

Hypotenuse^2=64+144

Hypotenuse^2=208

Taking square root on both sides, we get

Hypotenuse=\sqrt{208}

Hypotenuse=14.422205

Hypotenuse\approx 14.4

The length of the missing side is 14.4 inches. Therefore, the correct option is D.

4 0
3 years ago
Write a quadratic equation that has one solution, with an axis of symmetry of x=3​
slava [35]

i dont no 44444 but thanks for  the points

3 0
3 years ago
Is this right or wrong? Put these numbers in order from the smallest to the biggest. -1/5, -2/3, 2, 4.
quester [9]

Answer:no the -2/3 should be before -1/5

Step-by-step explanation:

8 0
3 years ago
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How do you write 4 hundredths,3 tenths, and 6 ones as a decimal?
Vsevolod [243]
The answer should be 6.34. This is because since the 6 is in the ones place, it should be the whole number. The 3 is a tenths so it should be the first number after the decimal. Finally, since 4 is in the hundredths place, it should be two places from the whole number.
5 0
3 years ago
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Find the measure of the arc or angle indicated
MariettaO [177]
Short Answer: arc LM = 110°
Comment

Any two angles that have their end points on the same end points as a chord and both moving away in the same direction (in this case  down ) are equal. This is a fundamental fact about circles.

Equation
2x + 55 =  x + 55
the only way this is going to make any sense is if x = 0. No other value is possible because it will destroy the equality.

Conclusion
Both angles = 55

But that's not what you are asked for.

What you are asked for
You want to know the measure of arc LM.  
The angle connecting the center of the circle with its two arms running through the end points of the chord = the measure of  arc LM

Draw a dot where the center of the circle is and call it O. Draw in <MOL 
<MOL = 2* either of the 55° = 2 (<LKM)  = 2 * 55 = 110° That's a property of the central angle.

The measure of arc LM = 110°
6 0
3 years ago
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