Answer:
Step-by-step explanation:
Considering the geometric sequence
As the common ratio '
' between consecutive terms is constant.
The general term of a geometric sequence is given by the formula:
where 
is the initial term and the common ratio.
Putting 
, 
and in the general term of a geometric sequence to determine the 12th term of the sequence.
∵ 
Therefore,
Answer:
Jose ends up with more money with $59 more than Peter.
Step-by-step explanation:
To determine the amount they will have, you have to use the formula to calculate the future value:
FV=PV(1+r)^n
FV= future value
PV= present value
r= rate of interest
n= number of periods of time
-Peter:
FV=1,000*(1+0.04)^10
FV=1,000*1.48
FV=1,480
-Jose:
FV=900*(1+0.05)^11
FV=900*1.71
FV=1,539
Difference: $1,539-$1,480=$59
According to this, the answer is that Jose ends up with more money with $59 more than Peter.
Answer:
correct
Step-by-step explanation:
Answer: in order to qualify, the time must be at least 15.93 minutes
Step-by-step explanation:
Let x be a random variable representing the average response times of fire departments to fire calls. Since it follows a normal distribution, we will determine the z score by applying the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = population standard deviation
From the information given,
µ = 12.8 minutes
σ = 3.7 minutes
in order to qualify for the special safety award, the probability value would be to the right of the z score corresponding to 80%
The z score corresponding to 80% on the normal distribution table is 0.845
Therefore,
0.845 = (x - 12.8)/3.7
0.845 × 3.7 = x - 12.8
3.13 = x - 12.8
x = 12.8 + 3.13 = 15.93
