Answer:
Step-by-step explanation:
<u>This is an AP with:</u>
- The first term a₁ = 12
- Common difference d = 3
- Number of terms n = 40
<u>Number of the seats:</u>
- Sₙ = 1/2*n(a₁ + aₙ) = 1/2n(2a₁ + (n - 1)d)
- S₄₀ = 1/2*40(12*2 + 39*3) = 2820 seats
<u>Formula of nth term:</u>
- aₙ = a₁ + (n - 1)d
- aₙ = 12 + (n - 1)*3 = 12 + 3n - 3 = 3n + 9
- aₙ = 3n + 9
Answer:
It will take 15 years for $500 to yield $900 at an interest rate of 0.12
Step-by-step explanation:
Simple Interest equals Principal times Rate times The time in years,
That is SI = P*R*T
SI is $900
P = $500
R = 0.12
T i.e. Time is unknown
T will be equal to SI divided by P*R
i.e., T = SI/PR
T = $900/$500*0.12 = 900/60
T = 15 years.
Therefore, it will take $500 investment to yield $900 interest in 15 years at an interest rate of 0.12
It would be better if you put a picture next time but i’ll just cauclate a normal rectangle to get the normal answer which is C) 196 square ft
Answer:
29.5+/-1.11
= ( 28.39, 30.61)
Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 29.5
Standard deviation r = 5.2
Number of samples n = 59
Confidence interval = 90%
z-value (at 90% confidence) = 1.645
Substituting the values we have;
29.5+/-1.645(5.2/√59)
29.5+/-1.645(0.676982337100)
29.5+/-1.113635944529
29.5+/-1.11
= ( 28.39, 30.61)
Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)
Answer:
8, 640
Step-by-step explanation:
It just is :) hope it helps
