Answer:
158.993
Step-by-step explanation:
We have to find the standard deviation of the sampling distribution of the means.
We are given that population standard deviation=σ=2248.5 and sample size=n=200.
Standard deviation of sampling distribution of means=σxbar=σ/√n
σxbar=2248.5/√200
σxbar=2248.5/14.1421
σxbar=158.993
Thus, the standard deviation of the sampling distribution of the means is $158.993.
2x-7=5x+13
x = -20/3
x = -7
x = 22/3
Answer:
Step-by-step explanation:
eq. of circle with (x1,y1 ) and (x2,y2) as extremities of diameter is
(x-x1)(x-x2)+(y-y1)(y-y2)=0
(x+3)(x-1)+(y-5)(y-9)=0
x²+3x-x-3+y²-5y-9y+45=0
x²+2x-3+y²-14y+45=0
x²+2x+y²-14y+42=0
x²+2x+1+y²-14y+49=-42+1+49
(x+1)²+(y-7)²=8
(x-(-1))²+(y-7)²=8
can someone go through the whole process for me?
Thanks.
B. All real numbers
C. All real numbers between -6 and -1 & -1 and 2
D. All real numbers between -8 and 4
I think that it's D because the y-values go from 4 and end at -8
1 year?
Answer:
Steven ears $565 more in one year.
Step-by-step explanation:
Giving the following information:
Mark:
PV= $45,000
n= 1
i= 0.032
Steven:
PV= $45,000
n= 1
i= 0.045
To calculate the Future Value of each investment, we need to use the following formula:
FV= PV*(1+i)^n
Mark:
FV= 45,000*1.032= $46,440
Steven:
FV= 45,000*1.045= $47,025
Difference= 47,025 - 46,440= $565
Steven ears $565 more in one year.
After investing their inheritance for one year, Steven has $585 more than Mark due to the higher interest rate of his investment.
After one year, the amount of money Mark and Steven have can be calculated using the formula for compound interest, which is P(1 + r) to the power of n, where P is the principal amount, r is the annual interest rate, and n is the time in years. So, Mark's future value would be $45000(1 + 0.032) = $46440. In contrast, Steven's future value would be $45000(1 + 0.045) = $47025. Therefore, Steven has $47025 - $46440 = $585 more than Mark after 1 year.
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