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Volgvan
4 years ago
5

Jeremiah has a long term savings plan. For 10 years he has been investing $150 a month, earning 4.25% interest compounded monthl

y. how much more would he have saved if he had chosen to make deposits of $200 a month?
Mathematics
1 answer:
Gennadij [26K]4 years ago
3 0
The formula of the future value of annuity ordinary
Fv=pmt [(1+r/k)^(kn)-1)÷(r/k)]
Fv future value
Pmt payment
R interest rate 0.0425
K compounded monthly 12
N time 10 years

If the payment 150
Fv=150×(((1+0.0425÷12)^(12
×10)−1)÷(0.0425÷12))
=22,381.089

If the payment 200
Fv=200×(((1+0.0425÷12)^(12
×10)−1)÷(0.0425÷12))
=29,841.452

How much more
29,841.45−22,381.09
=7,460.36
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There were 324 adults surveyed. Among the participants, the mean number of hours of sleep each night was 7. 5 and the standard d
NeTakaya

The margin of error for 324 adults surveyed with 1.6 standard deviations is 0.1742.

<h3>What is the margin of error?</h3>

The margin of error can be defined as the amount of random sampling error in the results of a survey. It is given by the formula,

\text{MOE}_{\gamma}=z_{\gamma} \times \sqrt{\frac{\sigma^{2}}{n}}

\text{MOE} = margin of error

\gamma = confidence level

z_{\gamma} = quantile

σ = standard deviation

n = sample size

As it is given that the sample size of the survey is 324, while the standard deviation of the survey is 1.6.

We know that the value of the z for 95% confidence interval is 1.96. Therefore, using the formula of the standard of error we can write it as,

\text{MOE}_{\gamma}=z_{\gamma} \times \sqrt{\dfrac{\sigma^{2}}{n}}\\\\\text{MOE}_{\gamma}=1.96 \times \sqrt{\dfrac{1.6^{2}}{324}}\\\\\text{MOE}_{\gamma}=0.1742

Hence, the margin of error for 324 adults surveyed with 1.6 standard deviations is 0.1742.

Learn more about Margin of Error:

brainly.com/question/6979326

5 0
3 years ago
11. The probability that a dessert sold at a certain cafe contains chocolate is 75%. The probability that a dessert containing c
raketka [301]
probability that a dessert sold at a certain cafe contains chocolate is 86%.

The probability that a dessert containing chocolate also contains nuts is 30%.

Find the probability that a dessert chosen at random contains nuts given that it contains chocolate

P(nuts given chocolate) = .30/.86 = .349 or 34
6 0
3 years ago
The altitude drawn to the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 4 and 12. Find the leng
Ostrovityanka [42]

Answer:

8 units.

Step-by-step explanation:

The smaller of the right triangles formed is similar to the whole triangle so

4/x = x/16   where  x = the shorter leg

x^2 = 64

x = 8.

7 0
3 years ago
A function is shown.<br><br> f(x)=−3⋅4x<br> What is the value of x when f(x) = −48?
galben [10]

Answer:

576

Step-by-step explanation:

Whenever you are solving these types of problems, you just put the value given in place of x. For this equation you would have done f(48)=-3·4(48)

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3 years ago
There are 150 children in middle school.30% of the students are 6th graders. How many 6th graders are at CPCS?
IceJOKER [234]

Answer:

45 children

Step-by-step explanation:

30% of 150=45

6 0
3 years ago
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