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3 years ago

Annual interest rate of $400 over 2 years with interest of $24

Mathematics

1 answer:

Burka [1]3 years ago

7 0

Answer:

592 Dollars = after starting from 400 dollars at a annual interest rate compounded at 24%.

Step-by-step explanation:

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 24%/100 = 0.24 per year.

Solving our equation:

A = 400(1 + (0.24 × 2)) = 592

A = $592.00

The total amount accrued, principal plus interest, from simple interest on a principal of $400.00 at a rate of 24% per year for 2 years is $592.00.

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jeka94

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3 years ago

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stellarik [79]

Answer:

Last choice.

Step-by-step explanation:

To find the option that is equivalent to this equation, we can begin by narrowing down our options. The slope contains a negative number, meaning the second point must have a lower y value than the first.

Using this criteria, we can eliminate the first and the third answer. Now, we can test the second and fourth answer.

We can test using the slope formula and plugging in values. When the slope formula: $m= \frac{y_{2}-y_{1} }{x_{2} -x_{1} }$

We get a slope of -5 for both of these equations. Let's plug in the point values to check whether they work:

Choice 2:

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-24 = -20 + 4

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Choice 4:

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-16 = -16

Therefore, choice 4 is correct!

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3 years ago

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4 years ago

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3 years ago

Bottles filled by a certain machine are supposed to contain 12 oz of liquid. In fact the fill volume is random with mean 12.01 o

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Answer:

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Step-by-step explanation:

To solve this problem, it is important 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:

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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 $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$