Answer:
(2,-5) and (2,1).
Step-by-step explanation:
We need to find the find all the points having an x coordinate of 2 whose distance from the point (-2,-4) is 5.
A circle with center (-2,-4) and radius 5 represents all the points whose distance from the point (-2,-4) is 5.
Standard form of a circle is
where, (h,k) is center and r is the radius.
Now, put x=2.
Taking square root on both sides.
So, the y-coordinates of the points are -5 and 1.
Therefore, the required points are (2,-5) and (2,1).
Answer:
we need an out of sorry -_-
Answer:
A).Amount = $218250
B). Amount = $88700
Step-by-step explanation:
A) .$5000 in an account at age 23, and withdraw it 42 years
Number of years t= 42 years
Principal P = $5000
Rate r= 9%
Number of times compounded n= 42
A= p(1+r/n)^(nt)
A= 5000(1+0.09/42)^(42*42)
A= 5000(1+0.002143)^(1764)
A= 5000(1.002143)^1764
A= 5000(43.65)
A= 218250
Amount = $218250
B).waits 10 years before making the deposit, so that it stays in the account for only 32 years
Number of years t= 32 years
Principal P = $5000
Rate r= 9%
Number of times compounded n= 32
A= p(1+r/n)^(nt)
A= 5000(1+0.09/32)^(32*32)
A= A= 5000(1+0.0028125)^(1024)
A= 5000(1.0028125)^1024
A= 5000(17.74)
A= 88700
Amount = $88700
Answer:
120 ml oil
150g onions
1.2 kg potatoes
1.5 litres milk
Step-by-step explanation:
The revipe serves 4 people, but Richard wants to serve 12 people. This is 3x the number of people intended.
So, multiply all the fiven ingredients by 3 as well.
Oil = 40ml x 3 = 120ml
Onions = 50g x 3 = 150g
Potatoes = 400g x 3 = 1200g = 1.2 kg
Milk = 500ml x 3 = 1500ml = 1.5 litres
Hope this helps
Step-by-step explanation:
1/3πr^2h
{(1/3)×(22/7)×2^2×6}m^3
[(1/3)×(22/7)×4×6)}m^3
{528/21}m^3
=25.1 m^3
NOTE:r=diameter divided by 2
