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MAXImum [283]
1 year ago
12

I = prt Time = 3 years Interest Rate = 5% Principal = $7,430 Use the information to answer the question. How much interest is pa

id? $111.45 $1,114.50 $11,145 $111,450
Mathematics
2 answers:
bearhunter [10]1 year ago
4 0
I = prt

p = 7430
r = 5%....turn to decimal = 0.05
t = 3

I = (7430)(0.05)(3)
I = 1114.50 <===
Leto [7]1 year ago
3 0

Answer: Second option is correct.

Step-by-step explanation:

Since we have given that

Principal = $7,430

Rate of interest = 5%

Time = 3 years

We need to find the interest paid using "simple Interest" method.

As we know the formula:

I=\dfrac{p\times r\times t}{100}\\\\I=\dfrac{7430\times 5\times 3}{100}\\\\I=\$1114.5

Hence, Second option is correct.

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A stack of books is 5 feet high. If the average book is three inches high, how many books are in the stack?
Thepotemich [5.8K]

4 books make 1 foot since there are 12 inches in a foot so 4 * 5 is 20

There are 20 books in the stack

7 0
2 years ago
Read 2 more answers
The percentage of body fat of a random sample of 36 men aged 20 to 29 found a sample mean of 14.42. Find a 95% confidence interv
Rina8888 [55]

Answer:

14.42-1.96\frac{6.95}{\sqrt{36}}=12.150    

14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690    

So on this case the 95% confidence interval would be given by (12.150;16.690)    

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".

\bar X=14.42 represent the sample mean

\mu population mean (variable of interest)

\sigma=6.95 represent the population standard deviation

n=36 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that z_{\alpha/2}=1.96

Now we have everything in order to replace into formula (1):

14.42-1.96\frac{6.95}{\sqrt{36}}=12.150    

14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690    

So on this case the 95% confidence interval would be given by (12.150;16.690)    

5 0
2 years ago
Rory is staying in a cabin on a hill 300 feet above sea level. She walks down the hill to the water’s edge. The equation of her
san4es73 [151]
x    y
1     290
2    280
3    270
4    260
5    250
6    240
7    230
8    220
9    210
10  200
11    90
12  180
13  170
14  160
15  150
16  140
17  130
18  120
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20 100
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3 0
2 years ago
Read 2 more answers
An entry level web developer's annual pay is $55,640 based on 52 weeks per year. Due to the economy, his company is having to cu
katen-ka-za [31]

Answer:

Reduction = \$3300

Step-by-step explanation:

Given

Pay\ for\ 52\ weeks = \$55,640

Required

Determine the reduction when paid is reduced to 49 weeks

First, we need to determine the weekly pay

Weekly\ Pay = \frac{\$55,640}{52}

Weekly\ Pay = \$1070

Next, is to determine the pay for 49 weeks;

Pay = Weekly\ Pay * 49

Pay = \$1070 * 49

Pay = \$52430

Subtract the 49 week pay from 52 weeks pay to get the payment reduction;

Reduction = \$55640 - \$52340

Reduction = \$3300

5 0
1 year ago
State the size of angle OAB, giving a reason for your answer
Alja [10]

Answer:

Angle OAB = 90°

Reason: tangent theorem of a circle

Step-by-step explanation:

The diagram given shows a tangent line of the given circle with center O. The tangent touches the circle at point A.

The diagram also shows the radius of the circle, OA, drawn from the center to the circle to meet at the point of tangency.

Thus, according to the Tangent Theorem of a circle, the point at which the radius drawn from the center meets the point of tangency = 90°. The tangent is perdendicular to the radius drawn to meet at the point of tangency.

Therefore, angle OAB = 90°

5 0
2 years ago
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