Answer:
amount is 1000 × 
$40762.20 balance of Donna's account will be 1 million dollars when she retires in 40 years
rate 14.97 % when Donna's account will have a balance of 1 million dollars in 40 years when principal is $2500
Step-by-step explanation:
principal = $1000
rate = 8 % = 0.08
to find out
the future value, S(t)
principal when Donna's account will be 1 million dollars when she retires in 40 year
at what rate Donna's account will have a balance of 1 million dollars in 40 years
solution
we know compounded continuously formula i.e.
amount = principal × 
..................1
put the value principal and rate in equation 1 to find amount any time
amount = principal ×
amount = 1000 ×
in 2nd part we have time 40 year and amount 1 million so put rate amount and time in equation 1 to find principal
rt = 0.08 × 40 = 3.2
amount = principal ×
1000000 = principal × 
principal = 1000000 /
principal = 1000000 / 24.5325302
principal = 40762.20397
so $40762.20 balance of Donna's account will be 1 million dollars when she retires in 40 years
in 3rd part we have amount 1 million and principal $2500 and time 40 year put all these in equation 1 to find rate
amount = principal ×
1000000 = 2500 × 
take ln both side
ln = ln (1000000 / 2500 )
40 r = ln 400
r = ln (400) / 40
r = 0.149787
so rate 14.97 % when Donna's account will have a balance of 1 million dollars in 40 years when principal is $2500
Answer:
B.
Step-by-step explanation:
there cannot be two of the same x value's. It would make it a circle on the graph, or something close to that, which isn't a function.
4u+3c-6 is thats what its asking for? just puting the same variables together
Answer:
3/4 meter
Step-by-step explanation:
Need Common denominators to compare size
2/6 3/4 4/9 which is longer than 2/3?
2/6 compared to 2/3. 2/6 = 2/6 and 2/3 = 4/6.
2/6 < 2/3 so 2/6 is too short
3/4 compared to 2/3 3/4 = 9/12 and 2/3 = 8/12
3/4 > 2/3 so 3/4 is longer than 2/3
4/9 compared to 2/3 4/9 = 4/9 and 2/3 = 6/9
4/9 < 2/3 so 4/9 is too short
Answer:
We define the random variable X as the walking age and we are interested if American children learn to walk less than 15 months so then that would be the alternative hypothesis and the complement would be the null hypothesis.
Null hypothesis: 
Alternative hypothesis: 
And for this case the best answer would be:
H 0 : μ ≥ 15 vs. Ha : μ < 15
Step-by-step explanation:
We define the random variable X as the walking age and we are interested if American children learn to walk less than 15 months so then that would be the alternative hypothesis and the complement would be the null hypothesis.
Null hypothesis:
Alternative hypothesis:
And for this case the best answer would be:
H 0 : μ ≥ 15 vs. Ha : μ < 15
And the data given from the sample is:
represent the sample mean
represent the population deviation
represent the sample size
And the statistic would be given by:
