First you need to use the compound interest formula to work out the amount of money he had after those two years. To do this you have to make a multiplier for the 14% and you have to put the number of years to the power of the multiplier and of course you need to times the original amount by the multiplier:
(100+14)/100 = 1.14 (making the multiplier)

1250*(1.14)^2 = 1624.5

Then you divide the 1624.5 by 24 to get the equal payments:
1624.5/24 = $67.6875 (rounded to $67.69)

Richard made payments of $67.69 24 times to pay off the loan he had taken out.

Hope this helps! :)

8 0

3 years ago

Read 2 more answers

The cost of 5 gallons of ice cream has a standard deviation of 8 dollars with a mean of 29 dollars during the summer. What is th

Feliz [49]

Answer:

97.74% probability that the sample mean would differ from the true mean by less than 1.9 dollars if a sample of 92 5-gallon pails is randomly selected

Step-by-step explanation:

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

Normal probability distribution:

Problems of normally distributed samples are 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 of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 29, \sigma = 8, n = 92, s = \frac{8}{\sqrt{92}} = 0.8341$

What is the probability that the sample mean would differ from the true mean by less than 1.9 dollars if a sample of 92 5-gallon pails is randomly selected?

This is the pvalue of Z when X = 29 + 1.9 = 30.9 subtracted by the pvalue of Z when X = 29 - 1.9 = 27.1. So

X = 30.9

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

By the Central Limit Theorem

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

$Z = \frac{30.9 - 29}{0.8341}$

$Z = 2.28$

$Z = 2.28$ has a pvalue of 0.9887

X = 27.1

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

$Z = \frac{27.1 - 29}{0.8341}$

$Z = -2.28$

$Z = -2.28$ has a pvalue of 0.0113

0.9887 - 0.0113 = 0.9774

97.74% probability that the sample mean would differ from the true mean by less than 1.9 dollars if a sample of 92 5-gallon pails is randomly selected

7 0

3 years ago

Which proportion can be used to find the length of DG¯¯¯¯¯¯?

umka21 [38]

Answer:

Step-by-step explanation:

if 6DG=318 DG=318÷6=53

3 0

3 years ago

PLZ HELP!!!!!!A trapezoid has an area of 230.945 square meters. One base is 7.7 meters long. The height measures 18.7 meters. Wh

Amanda [17]

Answer:

17m

(Anyone can correct me if I'm wrong)

Step-by-step explanation:

The following equation would be used: $A=\frac{a+b}{2} h$

We would simply substitute the given values, move the values around then we would get our answer:

$230.945=18.7\frac{7.7+b}{2}\\\\230.945=9.35(7.7+b)\\\\b+7.7=24.7\\\\b=17m$

7 0

3 years ago