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Art [367]
3 years ago
14

If ?2000 is placed into a bank account that pays 3% compound interest per year , how much will be in the account after 2 years ?

Mathematics
1 answer:
Elodia [21]3 years ago
3 0

Answer:

Step-by-step explanation:

A=P(1+r/n)^t*n

A=2000(1+.03)^2

A=2000(1.03)^2

A=2000(1.0609)

A=2121.80

Since it’s per year I didn’t divide 1 by .03 or multiply it by 2 since it would end in the same equation. If you were to do semiannually or any other payment period, the process would have been nessassary.

Hope this helps!

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34kurt
2.5x + 4x = 39
6.5x = 39
x = 39 / 6.5
x = 6
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What is 0.5% of 30,193,864
DerKrebs [107]

Answer:

what is 0.5% of 30 = 0.15

what is 0.5% of 193 = 0.965

what is 0.5% of 864 = 4.32

Step-by-step explanation:

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The base length of a triangle is 8 feet and the height is 4 feet. What is the area of the triangle?
sweet [91]
8x4=32
32 divided by 2 = 16
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3 0
3 years ago
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A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 450 gram setting. It
Arturiano [62]

Answer:

Test statistic = -2.25

P-value = 0.0199

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 450 gram

Sample mean, \bar{x} = 441 grams

Sample size, n = 16

Alpha, α = 0.05

Sample variance = 256

\sigma^2 = 256\\\sigma = \sqrt{256} = 16

First, we design the null and the alternate hypothesis

H_{0}: \mu = 450\text{ grams}\\H_A: \mu < 450\text{ grams}

We use one-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{441 - 450}{\frac{16}{\sqrt{16}} } = -2.25

Now,

Degree of freedom =

=n-1 = 16-1=15

We can calculate the p-value from the table as:

P-value = 0.0199

Conclusion:

Since the p-value is smaller than the significance level we fail to accept the null hypothesis and reject it.

Thus, there is enough evidence to support the claim that the machine is under filling the bags .            

5 0
3 years ago
Please help, see attachment for equation!
Alekssandra [29.7K]

Answer:

The answer to your question is the last option

Step-by-step explanation:

Quadratic equation

                                2 = - x + x² - 4

Order the equation from the highest power to the lowest power. Do not consider 2 because it is not consider in the options given.

                               x² - x - 4  = 0

Identify a, b and c

                              (1) x² -(1) x - 4 = 0

    a = 1    b = -1    c = - 6      

Substitution              

                              \frac{-(-1) +- \sqrt{(-1)^{2} - 4(1)((-4)}}{2(1)}

3 0
3 years ago
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