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Goshia [24]
2 years ago
8

You put $200 at the end of each month in an investment plan that pays an APR of 4.5%. How much will you have after 18 years? Com

pare this amount to the total deposits made over the time period.
a.
$66,370.35; $43,200
c.
$66,380.12; $43,000
b.
$66,295.23; $43,000
d.
$66,373.60; $43,200
Mathematics
1 answer:
suter [353]2 years ago
5 0
Use this formula
Future Value = Payment • [((1 + I)n - 1)/I] you get 66373.6
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36x^4 - 25=(6x^2)^2-5^2=(6x^2-5)(6x^2+5)
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Cheryl wants to find the number of hours seventh-graders do homework each week. There are 297 boys and girls in seventh grade. I
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There are a total of 297 students in the 7th grade. Rough estimates would say that about half of that number are boys and half are girls. Asking only 50 random girls would be biased because not only would it not be all of the girls (the number of girls would be around 148 or 149) but it would also be ignoring the roughly 148 to 149 boys there are on estimate. The sample would be biased because it would be ignoring the opinions of more than half the seventh grade.
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Which graph shows a dilation? On a coordinate plane, 2 quadrilaterals are shown. The larger quadrilateral has points (negative 4
gayaneshka [121]

Answer:

On a coordinate plane, 2 quadrilaterals are shown. The larger quadrilateral has points (negative 5, 3), (1, 3), (4, 0), (negative 2, 0). The smaller quadrilateral has points (negative 1, 0), (negative 2, 1), (0, 1), and (1, 0).      

Step-by-step explanation:

<u>Larger quadrilateral</u>

Length of the top and bottom segments are 6 units.

Length of the left and right sides:

d = √[(-5 - (-2))² + (3 - 0)²] = √[3² + 3²] = √(2*3²) = 3√2 units

From point (-5, 3) to point (-2, 0) the slope is:

m = (3 - 0)/(-5 - (-2)) = -1

<u>Smaller quadrilateral</u>

Length of the top and bottom segments are 2 units.

Length of the left and right sides:

d = √[(-2 - (-1))² + (1 - 0)²] = √[1² + 1²] = √2 units

From point (-2, 1) to point (-1, 0) the slope is:

m = (1 - 0)/(-2 - (-1)) = -1

If you dilate the smaller quadrilateral by a factor of 3, you get the larger quadrilateral (they have the same slope, and 3 times length of the smaller quadrilateral is equal to the length of the larger quadrilateral).

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2 years ago
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Minute Maid states that a bottle of juice contains 473 mL. Consumer groups are interested in determining if the bottles contain
olga2289 [7]

Answer:

Option C) The average contents of all bottles of juice in the population, which is 473 mL

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 473 mL

Sample mean, \bar{x} = 472 mL

Sample size, n = 30

Sample standard deviation, σ = 0.2

First, we design the null and the alternate hypothesis

H_{0}: \mu = 473\text{ mL}\\H_A: \mu < 473\text{ mLinches}

Representation of \mu

  • \mu is the population parameter that represents the population mean.

Thus, for the given situation \mu represents:

Option C) The average contents of all bottles of juice in the population, which is 473 mL

6 0
2 years ago
When Gene and Kelly were planning their trip to Paris, one United States dollar was worth about $\frac{7}{10}$ of a euro. Before
Andre45 [30]

Answer:

$280 dollars

Step-by-step explanation:

When they were leaving

\$1 \approx \frac{7}{10}$ Euro\\Therefore:\\\$1000 \approx  \dfrac{7}{10}\times 1000 =700$ Euro

When they returned home, they brought 196 Euros.

If\:\:\$1 \approx \frac{7}{10}$ Euro\\Then: 1 Euro $=\$  \dfrac{10}{7}\\\\$Therefore:\\\\196 Euros = \$ 196 \times \dfrac{10}{7} =\$280

They brought back $280 dollars to the United States.

3 0
2 years ago
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