1.2÷0.375−0.2/6 4/25 ÷15 2/5 +0.8 = 0.016÷0.12+0.7/x pls solve for x with explaination
1 answer:
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Answer:
The total amount to be paid for new home is $838,014.72
Step-by-step explanation:
Given as :
The price of the new house = $256,000
The down payment amount = 30% of house price
So, The down payment price = 30% of $256,000
i.e The down payment price = × 256000
Or, The down payment price = $76,800
Now, rest amount is finance
So, The finance Amount = p = $256000 - $76800 = $179,200
The rate of interest applied = r = 7.5%
The time period of finance = t = 20 years
Let The Amount after 20 years of finance = $A
Let The total amount to be paid for new home = $B
<u>Now, From Compound Interest </u>
Amount = Principal ×
Or, A = p ×
Or, A = $179,200 ×
Or, A = $179,200 ×
Or, A = $179,200 × 4.24785
∴ A = $761,214.72
So,The Amount after 20 years of finance = A = $761,214.72
<u>Now, Again</u>
The total amount to be paid for new home = Down payment amount + The Amount after 20 years of finance
Or, B = $76,800 + A
Or, B = $76,800 + $761,214.72
Or, B = $838,014.72
So, The total amount to be paid for new home = B = $838,014.72
Hence, The total amount to be paid for new home is $838,014.72 Answer
Answer:
And the upper bound rounded to the nearest integer would be 187.
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 mean or variance 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.
The Chi Square distribution is the distribution of the sum of squared standard normal deviates .
represent the sample mean for the sample
population mean (variable of interest)
s represent the sample standard deviation
n represent the sample size
Solution to the problem
Data given: 114 157 203 257 284 299 305 344 378 410 421 450 478 480 512 533 545
The confidence interval for the population variance is given by the following formula:
On this case we need to find the sample standard deviation with the following formula:
And in order to find the sample mean we just need to use this formula:
The sample mean obtained on this case is and the deviation s=132.250
The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:
Since the Confidence is 0.90 or 90%, the value of and
, and we can use excel, a calculator or a tabel to find the critical values.
The excel commands would be: "=CHISQ.INV(0.05,16)" "=CHISQ.INV(0.95,16)". so for this case the critical values are:
And replacing into the formula for the interval we got:
Now we just take square root on both sides of the interval and we got:
And the upper bound rounded to the nearest integer would be 187.