Answer:

Step-by-step explanation:
We have to calculate the time derivative of T=PV/nR with P and V variable and n and R constants. This is:

What we have to do is the derivative of a product:

Substituting, we have:

where all these values are given since the time derivatives of P and V are their variation rate, using minutes.
We then substitute everything, noticing that already everything is in the same system of units so they cancel out:

And then just calculate:

Answer: 12.75 inches
Step-by-step explanation:
Let x represent last year's rainfall.
Multiply by 0.8 since this year was 20% less.
x(0.8)= 10.2
x = 12.75
Given the formula for future value annuity:
FV of annuity=P[(1+r)^n-1]/r
where:
P=principle
r=rate
n=time
the time taken to repay the loan will be:
1500=90[(1+0.06)^n-1]/0.06
90=90[(1+0.06)^n-1]
1=(1+0.06)^n-1
1+1=(1+0.06)^n
2=1.06^n
introduce natural log
ln2=nln1.06
n=ln2/ln1.06
n=11.8957=12 years
the answer is 12 years.
Answer:
4 and 5
Step-by-step explanation:
Assuming your 2nd sentence should be: "The sum of the squares of the two numbers is 41"
X + Y = 9 {equation 1}
X² + Y² = 41 {equation 2}
from equation 1: y = 9-x
Substitute that into equation 2
x² + (9-x)² = 41
x² + 81 - 18x + x²= 41
2x² - 18x + 40 = 0
We can factor out a 2
x² - 9x + 20 = 0
(x-5)(x-4) = 0
x = 5 or 4
checking
Your two numbers are 4 and 5
4² + 5²
= 16 + 25
= 41
91 customers
Step-by-step explanation:
(140x65)/100=91