Answer:
44 +14i
Step-by-step explanation:
(5 + i)(9 + i)
FOIL
first 5*9 = 45
inner: 9i
outer :5i
last: i*i = i^2 = -1
Add togheter
45 + 9i+5i -1
Combine like terms
44 +14i
Answer: 5.5%
Step-by-step explanation:
Since the money invested has grown to $8300 and the principal was $600, this means the interest is:
= $8300 - $6500
= $1800
Simple interest = (Principal × Rate × Time)/100
1800 = (6500 × Rate × 5)/100
Cross multiply
1800 × 100 = 32500 × Rate
Rate = 180000/32500
Rate = 5.5%
Answer - 150
One square has an area of 25 (5x5) so 6 squares (25x6) have an area of 150.
Answer: With 11 pipes, you need 31.82 minutes to fill the tank.
Step-by-step explanation:
Let's define R as the rate at which one single pipe can fill a tank.
We know that 7 of them can fill a tank in 50 minutes, then we have the equation:
7*R*50min = 1 tank
Whit this equation, we can find the value of R:
R = 1 tank/(7*50min) = (1/350) tank/min.
Now that we know the value of R, we can do the same calculation but now with 11 pipes.
Then the time needed to fill the tank, T, is such that:
11*(1/350 tank/min)*T = 1 tank
We need to isolate T.
T = 1 tank/(11*(1/350 tank/min)) = 31.82 min
With 11 pipes, you need 31.82 minutes to fill the tank.
X=francis y=julia
the answer is francis has $27.5 and julia has $17.5 you find this by 45 and dividing it by 2 then get on half and add 5 and with the other half subtract five
