6, 9, 15, 24, 36, 51, ?
2 answers:
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Answer:
Step-by-step explanation:
Hello There!
<u>Remember The Trigonometric Ratios</u>
Sin = opposite divided by hypotenuse
Cos = adjacent divided by hypotenuse
Tan = opposite divided by adjacent
We need to find the measure of angle X given the opposite side length and hypotenuse
Opposite and hypotenuse correspond with sine so we are going to use sine to solve for x
We create an equation:
Now we want to get rid of the sin
To do so we take the inverse of sin (which would be arcsin) and apply it to each side
finally we round to the nearest tenth
we're left with x = 29.3
<h3>Answer:</h3>
$3,717.14
<h3>Step-by-step explanation:</h3>Compound interest is the interest on the principal funding as well as the interest itself.
Compound Interest Formula
Compound interest can be solved by plugging known values into a formula.
In this formula, the variables stand for different values.
- A = total amount
- P = principal amount
- r = rate as a decimal
- n = times compounded per time period
- t = time
So, for this question, we can plug in the values we are given and solve for P.
Identifying Known Values
First, let's find the exact numbers we are going to plug in.
- 6000 is the final amount we want, so A = 6000.
- 6%, the rate, is 0.06 as a decimal, so r = 0.06.
- Since interest is compounded each month per year, n = 12.
- The total time is 8 years, so t = 8.
Solving For P
Now we can plug all of these values in.
First, simplify the values within the parentheses and in the exponent through arithmetic.
Next, divide both sides by
- 3717.14 ≈ P
*Note that the answer has been rounded to the nearest hundredth.
This means that you would need to deposit $3,717.14 into the account to have $6,000 in 8 years.