Find the accumulated value of an investment of $7000 at 12% compounded semiannually for 12 years.
1 answer:
Answer:
$28,342.54
Step-by-step explanation:
The value of an account earning compound interest is found using the formula ...
A = P(1 +r/n)^(nt)
where P is the principal invested at annual rate r compounded n times per year for t years.
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You have P=7000, r=0.12, n=2, t=12.
Using these values in the formula, we find the accumulated value of the investment to be ...
A = 7000(1 +0.12/2)^(2·12) = 7000(1.06^24) ≈ 28,342.54
The value after 12 years is $28,342.54.
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<em>Additional comment</em>
The time-value-of-money functions of your calculator or spreadsheet can find this for you.
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The value of x is 120°
Explanation:
It is given that ABC is a straight line.
Also, ∠CBE = 20° and ∠CAF = 40°
We need to determine the value of ∠DBE
Let ∠DBE = x
Since, ∠CAF and ∠ABD are alternate interior angles.
By the alternate interior angles theorem, "if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are equal".
Thus, ∠CAF and ∠ABD are equal.
Hence, ∠CAF = ∠ABD = 40°
Since, we know that, the angles in a straight line add up to 180°, we have,
∠ABD + ∠DBE + ∠CBE = 180°
Substituting the values, we get,
40° + x + 20° = 180°
Adding, we have,
60° + x = 180°
Subtracting both sides by 60, we have,
x = 120°
Thus, the value of x is 120°
