Answer:
$15,539.67
Step-by-step explanation:
Compound Interest Formula
where:
- A = final amount
- P = principal amount
- r = interest rate (in decimal form)
- n = number of times interest applied per time period
- t = number of time periods elapsed
Given:
- P = $11,000
- r = 5.8% = 0.058
- n = 4 (quarterly)
- t = 6 years
Substitute the given values into the formula and solve for A:
Therefore, the value of the investment after 6 years will be $15,539.67 to the nearest cent.
The angle at the center of the circle is twice the angle at the circumference.
<h3>What is Circle Theorem?</h3>
The angle in a semicircle is a right angle. Angles that are in the same segment are equal.
As by theorem,
angle in a semicircle is a right angle. Angles that are in the same segment are equal.
Also, opposite angle in a cyclic quadrilateral sums to 180° and the angle between the chord and tangent is also equal to the angle in the alternate segment.
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If B is the midpoint of AC, then |AB| = |AC|.
|AB| = 3x + 2
|BC| = 5x - 10
Therefore we have the equation:
3x + 2 = 5x - 10 |subtract 2 from both sides
3x = 5x - 12 |subtract 5x from both sides
-2x = -12 |divide both sides by (-2)
x = 6
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Multiply the original price by the percent of markup: 47x.045=2.115. Round: 2.115=2.12. Add original price and amount of markup: 47+2.12=49.12. Answer: $49.12 :)
John exercised 20% more than Toby. So the number of hours that John exercises per week is 14 + 0.2(14) = 14 + 2.8 = 16.8.
Jenny exercises two more hours than John. So the number of hours that Jenny exercises per week is 16.8 + 2 = 18.8.
So an expression representing the number of hours that Jenny exercises after w weeks is 18.8w.
