Answer:
(a)
Original price for the Car Rhianna buy = $14,390.
Trade in allowance she has =$1000
So, the reduced price= $14,390-$1,000=$13,390.
Now, she make a $1500 down payment initially, so the remaining amount she pay using Auto-Loan is, $13,390-$1500=$11,890
Therefore, $11,890 money will she borrow in an auto loan.
(b)
To find the monthly(M) auto payment be:
Since the monthly auto payment in 4 year with 2.6% APR(Annual percentage rate)
Now, Monthly Auto payment(M) be :
P=$11,890, Monthly Car payment per $1000 borrowed at 2.6% for 48 months = $21.958
∴
On solving we get, M=$261.082
Therefore, $261.082 will be her monthly auto payment.
(c)
Total amount of interest(A) she will pay ,
A=total payment in 4 years-total loan amount=
=$12,531.936-$11,890=$641.936
So, the total amount of interest she will pay is, $641.936
(d)
Rhianna total payment for the car = total payment in 4 years+Down payment==$12531.936+$1500=$14,031.936
(e)
∵ Rhianna is 22 years female :
From the given Data in the picture:
Rating factor= 1.2
Liability insurance 50/100/25 , Bodily injury 50/100
Premium= $310 and Property damage 25 : Premium $175
Collision insurance=$500 deductible: Premium $148
Comprehensive insurance= $500 deductible : Premium $85
Her total annual premium
Recall that the diagonals of a rectangle bisect each other and are congruent, therefore:
Substituting the given expression for each segment in the first equation, we get:
Solving the above equation for x, we get:
Substituting x=10 in the equation for segment EI, we get:
Therefore:
Now, to determine the measure of angle IEH, we notice that:
therefore,
Using the facts that the triangles are right triangles and that the interior angles of a triangle add up to 180° we get:
Answer:
15.15% probability that the sample mean will be $192,000 or more.
Step-by-step explanation:
To solve this problem, we need 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 and standard deviation
, the zscore of a measure X is given by:
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 and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
In this problem, we have that:
The probability that the sample mean will be $192,000 or more is
This is 1 subtracted by the pvalue of z when X = 192000. So
By the Central Limit Theorem
has a pvalue of 0.8485.
1-0.8485 = 0.1515
15.15% probability that the sample mean will be $192,000 or more.