Answer:
Step-by-step explanation:
J is a tangent to the circle and it is at right angle,
So applying Pythagorean theorem
HK² = KJ² + HJ²
HK² = 8²+ 15²
HK² = 64 + 225
HK² = 289
HK = √289
HK = 17 mi
Answer:
Step-by-step explanation:
The line QC makes:
Using the property of similar triangles:
Using cross multiplication method:
Subtracting '' both the sides:
Dividing by '24' both sides:
The value of 'x' in the figure is :
We are NOT told 1) the finance charge and 2) the amount of time
<span>
<span>
19,850.00
<span>
Car Price
+1,488.75 Sales Tax
</span>
<span>
</span><span> -1,000.00
Down Payment
</span>
20,338.75
</span>
</span>
This is the amount being financed
Using a loan calculator http://www.1728.org/calcloan.htm
We see that if the loan is for 9.382% and it is for 5 years,
Then the monthly payment is $425.98
We will make 60 (12 months * 5) monthly payments resulting in a total loan cost of 425.98 * 60 =
<span>
<span>
25,558.80
</span>
</span>
Total Loan Cost
-20,338.75 Money Being Financed
5,220.05 Five Year's Interest
********************************************************************
THIS ISN'T EXACTLY RIGHT - SCROLL TO THE BOTTOM
So, 5,220.05 / 60 = Interest Paid each month.
= $87.00
So,
425.98
-87.00
<span>
<span>
338.98
</span>
</span>
Each month goes toward the principal.
******************************************************************************************
Although, the monthly payment remains exactly the same each month, the amount going toward interest and the amount going to equity (what you own), changes drastically each month.
See the mortgage calculator
http://www.1728.org/mortmnts.htm
So, your first payment, of 452.98 pays for $159.02 in interest and $266.95 in principal.
Answer:
The function for the outside temperature is represented by , where t is measured in hours.
Step-by-step explanation:
Since outside temperature can be modelled as a sinusoidal function, the period is of 24 hours and amplitude of temperature and average temperature are, respectively:
Amplitude
Mean temperature
Given that average temperature occurs six hours after the lowest temperature is registered. The temperature function is expressed as:
Where:
- Mean temperature, measured in degrees.
- Amplitude, measured in degrees.
- Daily period, measured in hours.
- Time, measured in hours. (where t = 0 corresponds with 5 AM).
If , and , the resulting function for the outside temperature is:
From the given sample data in the table on the backpack weight, we have;
(a) The means of the samples are;
- First sample = 6.375
- Second sample = 6.375
- Third sample = 6.625
(b) The range is 0.25
(c) The true statements are;
- A single sample mean will tend to be a worse estimate than the mean of the sample means
- The farther the range of the sample means is from zero, the less confident they can be their estimate.
<h3>How can the mean of the sample means be found?</h3>
(a) The sample means of each of each of the three samples are found as follows;
Where;
x = The value of a data point
n = Sample size
The mean of the first sample, S1, data is therefore;
3+7+8+3+7+9+6+8 = 51
Which gives
- Mean of the first sample = 6.375
Similarly, we have;
8 +6+4+7+9+4+6+7 = 51
Which gives;
Mean of the second sample = 6.375
9+4+5+8+7+5+9+6 = 53
Which gives;
- Mean of the third sample = 6.625
(b) The range of the means of the sample means is found as follows;
Range = Largest value - Smallest value
Which gives;
- Range of the sample means = 6.625 - 6.375 = 0.25
(c) The population mean is given by the mean of the sample means. That is, a very good estimate of the sample mean is given by the mean of the sample means.
The true statements are therefore;
- A single sample mean will tend to be a worse estimate than the mean of the sample means
- The farther the range of the sample means is from zero, the less confident they can be their estimate.
Learn more about the mean of the sample means of a collection of data here:
brainly.com/question/15020296
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