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3 years ago

Find the number of years it would take for $12,000 to earn simple interest of $324 at an annual interest rate of 6% per year.

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

3 0

It will take six years

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What is the spatial relationship between a rectangle and a parallelogram?

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Answer:

a rectangle is a parallelogram as the parallogram is made up of 2 triangles and a smaller rectangle. When the rectangle is divided into 2 triangles and another small rectangle, and is then being put together with the triangles on each side, it will be a parallelogram.

Step-by-step explanation:

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2 years ago

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Evaluate for x = 2 and y = -4. 1/2^-2x^-3y^5 16 -1/32 -16 -4

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Answer: 32/1024

Step-by-step explanation:

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2 years ago

Transform the equation to isolate x: ax = bx + 1. How is

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Answer:

$x=\frac{1}{a-b}$

The value of x is inversely proportional to the difference of a and b.

Step-by-step explanation:

The given expression is $ax-bx+1$

We factor the left hand side to get:

$(a-b)x=1$

We divide both sides by: a-b

$x=\frac{1}{a-b}$

Observe that the difference of a and b is in the denominator.

The whole is of the form: $x\propto \frac{1}{a-b}$

The value of x is inversely proportional to the difference of a and b.

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A researcher examines 27 water samples for mercury concentration. The mean mercury concentration for the sample data is 0.097 cc

jonny [76]

Answer:

Step-by-step explanation:

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Margin of error = z × s/√n

Where

s = sample standard deviation = 0.0074

n = number of samples = 27

From the information given, the population standard deviation is unknown and the sample size is small, hence, we would use the t distribution to find the z score

In order to use the t distribution, we would determine the degree of freedom, df for the sample.

df = n - 1 = 27 - 1 = 26

Since confidence level = 90% = 0.90, α = 1 - CL = 1 – 0.9 = 0.1

α/2 = 0.1/2 = 0.05

the area to the right of z0.05 is 0.05 and the area to the left of z0.05 is 1 - 0.05 = 0.95

Looking at the t distribution table,

z = 1.706

The critical value is 1.706

Margin of error = 1.706 × 0.0074√27

= 0.0024

The 90% confidence interval is

0.097 ± 0.0024

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Base angles and distance

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