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cluponka [151]
3 years ago
13

Find the area of the parallelogram by imagining that the blue triangle is moved onto the purple triangle.

Mathematics
1 answer:
bekas [8.4K]3 years ago
5 0
There the same right
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You deposit $2000 each year into an account earning 7% interest compounded annually. How much will you have in the account in 30
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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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2 years ago
Delicious Candy markets a two-pound box of assorted chocolates. Because of imperfec- tions in the candy making equipment, the ac
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Answer:

The required probability is 0.533.

Step-by-step explanation:

Consider the provided information.

The actual weight of the chocolate has a uniform distribution ranging from 31 to 32.5 ounces.

Let x is the random variable for the actual weight of chocolate.

According to PDF function.

P(a\leq x\leq b)=\int\limits^b_a {f(x)} \, dx

Where f(x)=\left\{\begin{matrix}\frac{1}{b-a} & a

It is given that ranging from 31 to 32.5 ounces.

Substitute a=31 and b=32.5 in above function.

f(x)=\left\{\begin{matrix}\frac{1}{32.5-31} & 31

f(x)=\left\{\begin{matrix}\frac{1}{1.5} & 31

We need to find the probability that a box weighs less than 31.8 ounces

Now according to PDF:

P(x

P(x

Hence, the required probability is 0.533.

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