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allochka39001 [22]
3 years ago
11

kevin borrowed $32,500 to purchase a new car. If the rate on the loan is 6% compounded annually, how much will he pay in total o

ver the course of the 5 year loan?
Mathematics
1 answer:
VLD [36.1K]3 years ago
3 0

Answer: He would pay $43492.33 in total over the course of the 5 years.

Step-by-step explanation:

Since we have given that

Amount he borrowed = $32500

Rate of compounded annually = 6%

Number of years = 5 yr

As we know the formula for "Compound Interest':

A=P(1+\frac{r}{100})^n\\\\A=32500(1+\frac{6}{100})^5\\\\A=32500(\frac{100+6}{100})^5\\\\A=32500(1.06)^5\\\\A=\$43492.33

Hence, He would pay $43492.33 in total over the course of the 5 years.

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I’m sorry I ain’t good at this math please help
otez555 [7]

The answer would be 2160 because v=l*w*h so 10*12*18 would equal 2160

4 0
3 years ago
The inside diameter of a randomly selected piston ring is a random variable with mean value 8 cm and standard deviation 0.03 cm.
S_A_V [24]

Answer:

a) P(7.99 ≤ X ≤ 8.01) = 0.8164

b) P(X ≥ 8.01) = 0.0475.

Step-by-step explanation:

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

Normal probability distribution:

Problems of normally distributed samples can be solved using 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 random variable X, with mean \mu and standard deviation \sigma, the sample means with size n can be approximated to a normal distribution with mean

In this problem, we have that:

\mu = 8, \sigma = 0.03

(a) Calculate P(7.99 ≤ X ≤ 8.01) when n = 16.

n = 16, so s = \frac{0.03}{4} = 0.0075

This probability is the pvalue of Z when X = 8.01 subtracted by the pvalue of Z when X = 7.99. So

X = 8.01

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

Applying the Central Limit Theorem

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

Z = \frac{8.01 - 8}{0.0075}

Z = 1.33

Z = 1.33 has a pvalue of 0.9082

X = 7.99

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

Z = \frac{7.99 - 8}{0.0075}

Z = -1.33

Z = -1.33 has a pvalue of 0.0918

0.9082 - 0.0918 = 0.8164

P(7.99 ≤ X ≤ 8.01) = 0.8164

(b) How likely is it that the sample mean diameter exceeds 8.01 when n = 25? P(X ≥ 8.01) =

n = 25, so s = \frac{0.03}{5} = 0.006

This is 1 subtracted by the pvalue of Z when X = 8.01. So

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

Z = \frac{8.01 - 8}{0.006}

Z = 1.67

Z = 1.67 has a pvalue of 0.9525

1 - 0.9525 = 0.0475

P(X ≥ 8.01) = 0.0475.

4 0
3 years ago
Classify the triangle shown below. check all that apply? 60 60 60
Stells [14]
Your Answer Is....

A) Acute, C) Equilateral, And D) Isosceles. 

Why?

Acute = All Sides Less Than 90°. Equilateral = All Sides The Same. Isosceles = 2 Or 3 Sides The Same. Therefore, A, C, And D Are Your Answers.

≈≈≈≈ Glad I Could Help, And Good Luck! ≈≈≈≈

My Name: AnonymousGiantsFan 
6 0
3 years ago
Read 2 more answers
In some gymnastics meets, the score given to a gymnast is the mean of the judges’ scores after the highest and lowest scores h
Allisa [31]

Using the median concept, the correct statement is given as follows:

Her median score does not change.

<h3>What is the median of a data-set?</h3>

The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile, also called the middle value the data-set, not being affected by outliers.

For this problem, the data-set is given as follows:

7.50, 7.50, 7.75, 7.75, 8.00, 8.00, 8.00, 10.00.

There are 8 scores, hence the median is the <u>mean of the 4th and the 5th</u> scores, as follows:

(7.75 + 8)/2 = 7.875.

Removing the extreme values, the data-set will be given by:

7.50, 7.75, 7.75, 8.00, 8.00, 8.00.

Then it has 6 scores, hence the median is the <u>mean of the 3th and the 4th</u> scores, as follows:

(7.75 + 8)/2 = 7.875.

Same median, hence the correct option is:

Her median score does not change.

More can be learned about the median of a data-set at brainly.com/question/23923146

#SPJ1

7 0
2 years ago
What the step answer for this question
IceJOKER [234]

Answer:

hey guys

Step-by-step explanation:

I am indian and I want to make Canadian friends

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3 years ago
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