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Lynna [10]
3 years ago
8

Find the balance in a $900 interest account after 10 years if the interest rate is 4.62%, compounded annually.

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
6 0
The formula is
A=p (1+r)^t

A future value?
P present value 900
R interest rate 0.0462
T time 10 years

A=900×(1+0.0462)^(10)
A=1,413.81

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34 packages are randomly selected from packages received by a parcel service. The sample has a mean weight of 25.9 pounds and a
Vlad1618 [11]

Answer:

24.6 < μ < 27.2

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96\frac{3.8}{\sqrt{34}} = 1.3

The lower end of the interval is the sample mean subtracted by M. So it is 25.9 - 1.3 = 24.6 pounds.

The upper end of the interval is the sample mean added to M. So it is 25.9 + 1.3 = 27.2 pounds.

So the correct answer is:

24.6 < μ < 27.2

4 0
3 years ago
Find the volume of the cone. Round your answer to the nearest tenth.
Sergeu [11.5K]

9514 1404 393

Answer:

  115.5 cubic yards

Step-by-step explanation:

The volume is given by the formula ...\

  V = 1/3πr²h

Here the diameter is 7 yards, so the radius is 3.5 yards. The volume is then ...

  V = (1/3)π(3.5 yd)²(9 yd) = 36.75π yd³ ≈ 115.454 yd³

The volume of the cone is about 115.5 cubic yards.

3 0
3 years ago
Simplify by adding like terms 3w-3x+2w-6-8
EastWind [94]
<span>3w - 3x + 2w - 6 - 8

Combine like terms:
= 5w - 3x - 14</span>
6 0
3 years ago
Read 2 more answers
Select from the following choices those graphs that represent only a dilation applied to this polygon with a scale factor great
romanna [79]

Answer:

B and C

Step-by-step explanation:

Required

Select graphs that are dilated by a scale factor greater than 1

For graph A:

Graph A is smaller than the original graph. This indicates dilation with a scale factor less than 1

For graph B:

Graph B is bigger than the original graph and is dilated over (0,0). This indicates dilation with a scale factor greater than 1

For graph C:

Graph C is bigger than the original graph; however, it is not dilated over (0,0). This indicates dilation with a scale factor greater than 1

For graph D:

Graph D is bigger than the original graph; however, it is not only dilated but also flipped over (i.e. rotated).

<em>Hence, b and c is true</em>

5 0
3 years ago
Marcus bought a booklet of tickets to use at the amusement park. He used 25% of the tickets on rides, 1/4 of the tickets on vide
Jobisdone [24]

Answer:


Step-by-step explanation:


6 0
3 years ago
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