Answer:
9 (2p + 1)
Step-by-step explanation:
(18p + 9)
GCF = 9
so, divide everything by 9
9 (2p + 1)
It does not say simple or compound interest.
Simple interest is rarely used these days, so assume compound.
Use the standard formula:
future value = present value*(1+rate/n)^(nt)
n=number of times interest is compounded per year (=1)
t=number of years
Plugging values,
200=100(1.09)^t
1.09^t = 2
take log
t(log(1.09))=log 2
t=log(2)/log(1.09)=0.6931/0.08618=8.04 years.
Answer:
Yes
Step-by-step explanation:
12x minus -3x is the same as adding two positives. That gives us 15x. 4 - 5 is -1. Putting the two simplified parts of the expression together, we get 15x - 1. Mason is correct.
<span>if isabel runs 7 miles in 50 minutes, then you know she runs 7/50 miles in one minute, right? So multiply that by the number of minutes she did run, and you can find the distance:
</span><span> 7
------ x 75 =
50
525
------
50
</span><span> If you plug that fraction into your calculator, you get 10.5, so 10 and a half miles.</span>
Answer:
Step-by-step explanation:
This is a homogeneous linear equation. So, assume a solution will be proportional to:
Now, substitute 
into the differential equation:
Using the characteristic equation:
Factor out 
Where:
Therefore the zeros must come from the polynomial:
Solving for 
:
These roots give the next solutions:
Where 
and 
are arbitrary constants. Now, the general solution is the sum of the previous solutions:
Using Euler's identity:
Redefine:
Since these are arbitrary constants
Now, let's find its derivative in order to find and
Evaluating 
:
Evaluating 
:
Finally, the solution is given by:
