The amount that will be in the account after 30 years is $188,921.57.
<h3>How much would be in the account after 30 years?</h3>
When an amount is compounded annually, it means that once a year, the amount invested and the interest already accrued increases in value. Compound interest leads to a higher value of deposit when compared with simple interest, where only the amount deposited increases in value once a year.
The formula that can be used to determine the future value of the deposit in 30 years is : annuity factor x yearly deposit
Annuity factor = {[(1+r)^n] - 1} / r
Where:
- r = interest rate
- n = number of years
$2000 x [{(1.07^30) - 1} / 0.07] = $188,921.57
To learn more about calculating the future value of an annuity, please check: brainly.com/question/24108530
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The answer is 3 = 0.45 and 18 = 2.70
Answer:
Step-by-step explanation:
<u>Trigonometric ratios</u>
where:
- is the angle
- O is the side opposite the angle
- A is the side adjacent the angle
- H is the hypotenuse
Given:
- = A
- O = BC = 5
- A = AC = 12
- H = AB = 13
The measure of angle x from the diagram is 102 degrees
<h3>Lines and angles</h3>
From the given diagram, we can see that the measure of angle "x" lies on the same line with 39 degrees. Since the sum of angles on a straight line is 180 degrees, hence;
39 + x + 39 = 180
78 + x = 180
Subtract 78 from both sides
78 + x - 78 = 180 - 78
x = 180 - 78
x = 102 degrees
Hence the measure of angle x from the diagram is 102 degrees
Learn more on lines and angles here; brainly.com/question/25770607
Yes, I can. What kind of math problem do u need help with?