Answer:
Fir trees are 9 meters and the pine trees are 12 meters tall.
Step-by-step explanation:
Let the height of the fir tree = x and the height of the pine tree = y (in meters).
It is given that the combined height of both the trees is 21 meters.
That is, 
Also, the height of 4 fir trees is 24 meters more than that of the pine tree.
That is, 
i.e. 
So, we get the system of equations,
x+y=21
4x-y=24
Adding both the equations, gives us,
5x = 45 i.e. x= 9.
So, x+y=21 ⇒ y= 21 - x ⇒ y= 21 - 9 ⇒ y= 12.
Thus, the fir trees are 9 meters tall and the pine trees are 12 meters tall.
Answer:
80%
Step-by-step explanation:
Answer:
203 rpm
Step-by-step explanation:
The speed of the larger gear can be calculated using the following equation:
<u>Where</u>:
ω: is the angular velocity of the motor = 700 rpm
R: is the gear ratio
The gear ratio is the following:
<u>Where:</u>
n(a): is the number of teeth on the small gear = 12 teeth
n(b): is the number of teeth on the larger gear = 42 teeth
The gear ratio is:
Now, the speed of the larger gear is:
Therefore, the speed of the larger gear is 203 rpm.
I hope it helps you!
Let's
simplify step-by-step.
3x2(x2−4x−4)+5x3+7x2+2x+11
Distribute:
=(3x2)(x2)+(3x2)(−4x)+(3x2)(−4)+5x3+7x2+2x+11
=3x4+−12x3+−12x2+5x3+7x2+2x+11
Combine
Like Terms:
=3x4+−12x3+−12x2+5x3+7x2+2x+11
=(3x4)+(−12x3+5x3)+(−12x2+7x2)+(2x)+(11)
=3x4+−7x3+−5x2+2x+11
Answer:
=3x4−7x3−5x2+2x+11
<span> </span>
Answer:
Step-by-step explanation:
a) you know interest is 22 and principal is 1000 and number of months is 1
b) I = rPm
r = I/Pm
c) r = 22 / 1000(1) = 0.022 /month or 2.2% per month
or 12(0.022) = 0.264 or 26.4 % per year.
d) interest is $15, loan period is 2 weeks which occurs once during the loan, interest rate is 10% per two weeks.
P = I/rm
e) P = 15 / 0.10 = $150
Notice that there are 52 weeks/yr / 2week loan period = 26 period in a year.
This means that the APR is 0.10(26) = 2.60 or 260% annual interest rate. Pretty good return on investment if you are the lender and can keep your money lent out. Not so good if you are the borrower.
