Answer:
Step-by-step explanation:
We are given;
A geometric sequence;
-2,10,-50
Required to determine the nth term
The nth term in a geometric sequence is given by the formula;
where is the first term and r is the common ratio;
In this case;
r = 10 ÷ -2
= -5
Therefore;
To get the nth term in the given geometric sequence we use;
Thus, the nth term is
<u>Given that :</u>
Present value ( PV ) $200,000
Period = 25 years
Total period ( n ) = 25 * 12 = 300
also PMT is done monthly
∴ monthly interest rate = ( 716.67 / 200,000 ) * 100 = 0.358% ( r )
<u>i) Next step : Calculate the value of PMT </u>
using the equation below
where : PV = $200,000, r = 0.358% , n = 300
input values into equation
∴ d = PMT = $1088.63
<u>ii) Fixed monthly payments</u>
= d - 716.67
= 1088.63 - 716.67 = $372
Learn more : brainly.com/question/11965695
Answer:
C. 59.01%
Step-by-step explanation:
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.
In this problem, we have that:
What percentage of fourth graders are between 50 inches and 56 inches?
This is the pvalue of Z when X = 56 subtracted by the pvalue of Z when X = 50.
X = 56
has a pvalue of 0.8729
X = 50
has a pvalue of 0.2843.
0.8729 - 0.2843 = 0.5886, which is close to 59.01%.
So the correct answer is:
C. 59.01%