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vero5047
24.07.2019 •
Mathematics
(: calculate the effective annual interest rate if the annual interest rate, i, is 8%. i=(1+r12)12−1 a.0.7990 b. 0.083 c. 0.0855 d. 0.0900
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Ответ:
Suppose you have an investment account with a "Stated Rate" of 7% compounded monthly then the Effective Annual Interest Rate will be about 7.23%. Further, you want to know what your return will be in 5 years. Using the calculator, your periods are years, nominal rate is 7%, compounding is monthly, 12 times per yearly period, and your number of periods is 5.
First calculating the periodic (yearly) effective rate: i = ( 1 + ( r / m ) )m - 1
i = ( 1 + ( 0.07 / 12 ) )12 - 1 = 0.0722901 = 7.22901%
Next calculating the compounded interest rate of i over 5 years: it = (1 + i)t - 1
it = (1 + 0.0722901)5 - 1 = 0.417625 = 41.76%
And we would also get it = ( 1 + ( r / m ) )mt - 1 = 41.76%
Excel function EFFECT()This calculation for effective rate is similar to Excel function EFFECT(nominal_rate,npery) where nominal_rate = r and npery = m.
Continuous CompoundingWhen the frequency of compounding is increased up to infinity we get "continuous compounding". By definition, as n approaches infinity in the term [ ( 1 + ( r / m ) )m ] the value of this term approaches a limit equal to [ er].[1] Where e is the constant [2.7182818284] and r is the interest rate in decimal form equal to R/100. So,
i = er - 1
I hope this helps!! <3
Ответ:
The correct options are 1 and 4.
Step-by-step explanation:
From the dot plot it notices that
Age frequency
7 2
8 1
9 3
10 2
11 3
12 2
Total 13
Add the number of dots above each age in the dot plot to find the number of players on the team: 2 + 1 + 3 + 2 + 3 + 2 = 13.
Therefore option 1 is correct and option 2 is incorrect.
From the box plot it is noticed that
The median is 10, therefore option 3 is incorrect and option 4 is correct.
There are many charts and plots that are used to show the variability of the data. Like Histogram, box plot, dot plot, scatter plot, etc. Therefore options 5 and 6 are incorrect.