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Gnom [1K]
3 years ago
14

Danny wants to buy a truck in 4 years. He is going to put away $2,500.00 into his savings account that will pay him 6.75% intere

st compounded monthly. How much will he have when he withdraws the funds to give a down payment? a $775.43 b $3,272.43 c $3,275.43 d $772.43
Mathematics
1 answer:
aniked [119]3 years ago
4 0

Answer:

b $3,272.43

Step-by-step explanation:

A = p(1+r/n)^nt

Where

A= future value

P= principal = $2500

r= interest rate = 6.75% = 0.0675

n = number of periods = 12

t = time = 4 years

A = p(1+r/n)^nt

= 2500(1+0.0675/12)^12*4

= 2500(1+0.005625)^48

= 2500(1.005625)^48

= 2500(1.3089737859257)

= 3272.4344648144

Approximately

A= $3272.43

He will have $3272.43 to give as down payment in 4 years

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To convert 25 hours to minutes would you use the ratio 1/60
kodGreya [7K]

Answer:

Yes

Step-by-step explanation:

1 hour = 60 min

25 hours = 60 x 25 min

5 0
2 years ago
The amount people pay for cable service varies quite a bit but the mean monthly fee is $142 and the standard deviation is $29. t
zhuklara [117]

Answer:

a) By the Central Limit Theorem, the mean is $142 and the standard deviation is $0.7488.

b) By the Central Limit Theorem, approximately normal.

c) 0.0901 = 9.01% probability that the average cable service paid by the sample of cable service customers will exceed $143

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The mean monthly fee is $142 and the standard deviation is $29.

This means that \mu = 142, \sigma = 29

Part a: what are the mean an standard deviation of the sample distribution of x hat show your work and justify your reasoning.

Sample of 1500(larger than 30).

By the Central Limit Theorem

The mean is $142

The standard deviation is s = \frac{29}{\sqrt{1500}} = 0.7488

Part b: what is the shape of the sampling distribution of x hat justify your answer.

By the Central Limit Theorem, approximately normal.

Part C: what is the probability that the average cable service paid by the sample of cable service customers will exceed $143?

This is 1 subtracted by the pvalue of Z when X = 143. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{143 - 142}{0.7488}

Z = 1.34

Z = 1.34 has a pvalue of 0.9099

1 - 0.9099 = 0.0901

0.0901 = 9.01% probability that the average cable service paid by the sample of cable service customers will exceed $143

4 0
3 years ago
Given that the graph below is a transformation of the graph f(x)=x2, which transformation occurred?
Sindrei [870]

Answer:

whats?

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Helpppppppppppppppppppp
Sloan [31]

Answer:

Sum of \frac{7x}{x^2-4} and \frac{2}{x+2} is \mathbf{\frac{9x-4}{x^2-4}}

Option B is correct answer.

Step-by-step explanation:

We need to find sum of \frac{7x}{x^2-4} and \frac{2}{x+2}

Finding sum of  \frac{7}{x^2-4} and \frac{2}{x+2}:

\frac{7x}{x^2-4}+\frac{2}{x+2}

We know that x^2-4 =(x+2)(x-2)

Replacing x^2-4

\frac{7x}{(x+2)(x-2)}+\frac{2}{x+2}

Now, taking LCM of (x+2)(x-2) and (x+2) we get (x+2)(x-2)

=\frac{7x+2(x-2)}{(x+2)(x-2)}\\=\frac{7x+2x-4}{(x+2)(x-2)}\\=\frac{9x-4}{(x+2)(x-2)}\\=\frac{9x-4}{x^2-4}

So, Sum of \frac{7x}{x^2-4} and \frac{2}{x+2} is \mathbf{\frac{9x-4}{x^2-4}}

Option B is correct answer.

6 0
2 years ago
How do you simplify by distributing ?
tekilochka [14]

Answer: 8x + 40

Step-by-step explanation:

       To distribute, we multiply 8 by both of the values inside the parentheses;

  Given:

8(x + 5)

  Distribute:

(8 * x) + (8 * 5)

  Multiply and simplify:

8x + 40

3 0
2 years ago
Read 2 more answers
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