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Zigmanuir [339]
4 years ago
8

The cost of $500,000 worth of 30-year term life insurance and for Fernando is $170.19 per month. If Fernando's employer covers 9

5% of this cost, how much is deducted from Fernando's gross income per year for life insurance?
Mathematics
2 answers:
BARSIC [14]4 years ago
6 0

Answer:

102.11

Step-by-step explanation:

apex

sasho [114]4 years ago
4 0
<h2>Answer:</h2>

Fernando will pay $102.114.

<h2>Step-by-step explanation:</h2>

If Fernando's gross income should be deducted $170.19 per month for life insurance, then he should be deducted = 170.19\times12=2042.28

As given, that his employer covers 95% of this amount, Fernando only needs to pay 5% for life insurance.

Getting 5% of $2042.28 we have,

0.05\times2042.28 = $102.114

Therefore, Fernando will pay $102.114.

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Which is a pair of dependent events?
pashok25 [27]

Answer:

Two events are dependent if the outcome of the first event affects the outcome of the second event, so that the probability is changed.

Step-by-step explanation:

3 0
3 years ago
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Right answer gets marked
salantis [7]
The Correct answer is ¥
7 0
3 years ago
If c=12, find r in the equation c=2πr. Round your answer to the nearest hundredth
lesya [120]
If c=12, then c=2*pi*r has to equal 12 as well
Simply set 2*pi*r=12 and solve for R
pi*r=6
r= approximately 1.91
4 0
3 years ago
For each of the given​ situations, write out the alternative​ hypothesis, being sure to state whether it is​ one-sided or​ two-s
tekilochka [14]

Answer:

Null hypothesis: p\leq 0.3

Alternative hypothesis: p > 0.3

Step-by-step explanation:

1) Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

2) Solution to the problem

On this case we want to test is p>0.3 since we want to check if the new model has improved the warranty rate, we can express it like this:

p-0.3 since are equivalent expressions.

And the alternative hypothesis should be the complement:

Null hypothesis: p\leq 0.3 or p=0.3

So the correct system of hypothesis for this case would be:

Null hypothesis: p\leq 0.3

Alternative hypothesis: p > 0.3

The alternative way should be:

Null hypothesis: p = 0.3

Alternative hypothesis: p > 0.3

3 0
3 years ago
What are the x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2?
Solnce55 [7]

<u><em>The coordinates of the points A and B are not given. We'll assume: A(3,1) B(12,-5)</em></u>

Answer:

<em>The coordinates of E are (6,-1)</em>

Step-by-step explanation:

<u>Partition of a Segment</u>

The length of segment directed from A(xa,ya) to B(xb,yb) can be decomposed in its x,y coordinates:

x_{AB}=x_b-x_a

y_{AB}=y_b-y_a

If a point E is to be in the segment and partition it into a ratio 1:2, then

\displaystyle \frac{x_{AE}}{{x_{EB}}=\frac{y_{AE}}{{y_{EB}}=\frac{1}{2}

But

x_{AE}=x_e-x_a

y_{AE}=y_e-y_a

x_{EB}=x_b-x_e

y_{EB}=y_b-y_e

Then we set the equation:

\frac{x_{AE}}{{x_{EB}}=\frac{1}{2}

2(x_e-x_a)=x_b-x_e

Operating and rearranging

3x_e=x_b+2x_a

Solving

\displaystyle x_e=\frac{x_b+2x_a}{3}=\frac{12+6}{3}

x_e=6

Similarily

\displaystyle y_e=\frac{y_b+2y_a}{3}=\frac{-5+2}{3}

y_e=-1

The coordinates of E are (6,-1)

8 0
4 years ago
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