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DedPeter [7]
3 years ago
8

If John deposits $525 in a savings account and his account pays an annual interest rate of 5.5% and makes no other deposits and

withdrawals what is the simple interest earned for 5 years , 5 months , and 5 days
Mathematics
1 answer:
Marianna [84]3 years ago
3 0

Answer:

The amount of simple interest earned is $156.79

Step-by-step explanation:

Mathematically;

Simple interest = PRT/100

From the question;

P = $525

R = 5.5%

T ; to get this, we need to make the numbers agree;

We do this by dividing number of months by 12 and number of days by 365

So 5 years, 5 months and 5 days will be;

5 + 5/12 + 5/365 = 5.43

So, using this in the simple interest calculations, we have;

S.I = (525 * 5.5 * 5.43)/100

S.I = $156.79

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The answer would have to be A because if it's ROUNDED to the nearest ounce then 2 is closer to 0 so it would be A
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What is the measure of ∠DEG?<br> A) 133° <br> B) 103° <br> C) 77° <br> D) 67°
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Mr. Snow bought 90 grams of Christmas candy for each of his 14 grandchildren. How many total kilograms of candy did he buy?
nignag [31]

Answer:

1.26 kg.

Step-by-step explanation:

We have been given that Mr. Snow bought 90 grams of Christmas candy for each of his 14 grandchildren. We are asked to find the amount of candy bought by Mr. Snow in kilograms.

First of all, we will find the amount of candy in grams by multiplying 90 grams by 14 as:

\text{Amount of candy bought in grams}=14\times 90

\text{Amount of candy bought in grams}=1260

We know that 1 kilogram is equal to 1000 grams. To convert 1260 grams into kg, we will divide 1260 by 1000 as:

\text{Amount of candy bought in kilograms}=\frac{1260}{1000}

\text{Amount of candy bought in kilograms}=1.26

Therefore, Mr. Snow bought 1.26 kilograms of candy.

7 0
3 years ago
A consumer group is interested in estimating the proportion of packages of ground beef sold at a particular store that have an a
snow_tiger [21]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16  

And rounded up we have that n=385

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.05 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

We assume that the estimated proportion for this case is \hat p =0.5 since we don't have prior information.

And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16  

And rounded up we have that n=385

6 0
3 years ago
The length of a hypotenuse of a 30 - 60 - 90 triangle is 11. what is the perimester
Pavlova-9 [17]

Since we know that the hypotenuse is 11 and this is a 30 - 60 - 90 right triangle we can use 11 to find the other sides.

The hypotenuse is 2s, s is the 30 side length.

So s = 11 / 2 = 5.5

The 60 side is s * square root of 3.

5.5 * square root of 3 = about 9.5.

Now that we know all three sides we can add them together to get the perimeter.

11 + 5.5 + 9.5 = 26

:)))

7 0
3 years ago
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