Answer:
y = - 12 y = 0
Step-by-step explanation:
first you have to simplify it then you have to separate the equations and then you'll get your answer.
Answer:
6 pounds from 1 gallon, 1.5 gallons for 9 lbs
Step-by-step explanation:
Principal amount= $3,500.00
Annul interest rate= 3%
Numbers of years= n =20,
compounded semiannually
Solution:
Use the semiannual compounding period to express the effective semiannual rate which is 3%/2 = 1.5% per 6 month period.
Now there are n=2(no. of years) semiannual periods for given cash flow
n=2*20
n=40 semiannual periods
Now,
F=P( F/P,1.5%,40)
F=$3500(1.8140) , (1.8140 is the value get from table at 1.5% interest for n=40)
F=6,349.00 is the amount in bank after 20 years, compounded semiannually.
You can also do this problem by another method which is
first find the compound interest by using the formula
I=((1+i/n)^n)-1.........3
i=3%=0.03
n=20
So, by putting values in the above formula 3, you get
I=(1+0.03/20)^20-1
I=1.031-1
I=0.030403
I=3.043%
F=P(F/P,i%,n)
F=$3500(F/P,3.043,20)
When you use this interest( I )then you will need interpolation if the I value is not in the economics table
F=6,349.00
The answer will remain same as get by above method.
Answer:
The coordinates of the focus of the parabola is:

Step-by-step explanation:
We know that for any general equation of the parabola of the type:

The focus of the parabola is given by:
Focus= (h,k+p)
Here we are given a equation of the parabola as:

On changing the equation to general form as follows:

Hence, we have:

Hence,

Hence, focus is:
