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Nitella [24]
3 years ago
14

Find the future value of the annuity due for $200 deposited at the beginning of each quarter for 12 years at 7% compounded quart

erly.
Mathematics
1 answer:
dimulka [17.4K]3 years ago
4 0
200*(107%)^x

x is the number of quarters that passed.
each year has 4 quarters, so 12 yaers would have: 12*4 = 48 quarters

200*(107%)^48 = 5146
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Which diagram suggests a correct construction of a line parallel
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The third diagram is the correct answer.
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A company has a bonus incentive for its employees. The company pays employees an initial signing bonus of $1000 and invests that
Angelina_Jolie [31]

Since this is a compound interest, we will use this formula: A = P(1+r/n)^n*t

P = $1000 --> the amount that we start with

r = 8% --> this is the rate

n = 4 --> This is because it is compounded quarterly.

t = 5 --> the amount of years

A = 1,000.00(1 + 0.02)^(20)

So our final value after inserting those numbers in the equation is: $1,485.95.

6 0
2 years ago
Find two numbers whose sum is -2 and whose product is -63
djverab [1.8K]
Answer: -9 and 7

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3 0
3 years ago
If (2i/2+i)-(3i/3+i)=a+bi, then a=<br>A. 1/10<br>B. -10<br>C. 1/50<br>D. -1/10​
Verizon [17]

Answer:

Option A is correct.

Step-by-step explanation:

We are given:

\frac{2i}{2+i}-\frac{3i}{3+i} = a+bi

We need to find the value of a.

The LCM of (2+i) and (3+i)  is (2+i)(3+i)

=\frac{2i(3+i)}{(2+i)(3+i)}-\frac{3i(2+i)}{(2+i)(3+i)}\\=\frac{6i+2i^2}{(2+i)(3+i)}-\frac{6i+3i^2}{(2+i)(3+i)}\\=\frac{6i+2i^2-(6i+3i^2)}{(2+i)(3+i)}\\=\frac{6i+2i^2-6i-3i^2)}{5+5i}\\=\frac{-i^2}{5+5i}\\i^2=-1\\=\frac{-(-1)}{5+5i}\\=\frac{1}{5+5i}

Now rationalize the denominator by multiplying by 5-5i/5-5i

=\frac{1}{5+5i}*\frac{5-5i}{5-5i} \\=\frac{5-5i}{(5+5i)(5-5i)}\\=\frac{5-5i}{(5+5i)(5-5i)}\\(a+b)(a-b)= a^2-b^2\\=\frac{5(1-i)}{(5)^2-(5i)^2}\\=\frac{5(1-i)}{25+25}\\=\frac{5(1-i)}{50}\\=\frac{1-i}{10}\\=\frac{1}{10}-\frac{i}{10}

We are given

\frac{2i}{2+i}-\frac{3i}{3+i} = a+bi

Now after solving we have:

\frac{1}{10}-\frac{i}{10}=a+bi

So value of a = 1/10 and value of b = -1/10

So, Option A is correct.

8 0
3 years ago
Mr.Beard bought 10 acres of land.She plans to divide the land into smaller lots that are each 1/20 of an acre. How many smaller
Tasya [4]

Answer:

200 smaller lots

Step-by-step explanation:

10 ÷ 1/20 = 200

7 0
3 years ago
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