Answer:
(2.5,3.5) ywww
Step-by-step explanation:
Answer:
x = 13.5
Step-by-step explanation:
direct variation
y = kx
substitute x and y to find k
8 = k*6
divide by 6
8/6 =k
4/3 = k
y = 4/3 x
now put in y =18
18 = 4/3 x
multiply by 3/4
18 * 3/4 = 3/4 * 4/3 x
54/4 = x
change to a decimal
13.5 =x
We have to calculate the amount of money Peter will have in his account after 5 years. Formula for the amount after t years with interest compounded continuously : A = P * e ^(rt)
We know that r = 0.06, t=5, e = 2.71 and p= $8,000
A = 8,000 * 2,718 ^(0.06 * 5) = 8,000 * 2,718 ^ (0.3) = 8,000 * 1.3488158 = 10,798.53 so the answer is 10,798.53
Answer:
The radius is 18 cm
Step-by-step explanation:
The formula for circumference with radius is
C = 2*pi*r
We know the circumference is 36 pi
36 pi = 2 * pi *r
Divide by pi
36 pi/pi = 2 * pi/pi *r
36 = 2r
Divide by 2
36/2 = 2r/2
18 = r
Exponential growth is
F=P(1+r)^t
F=future amount
P=present amount
r=rate
t=time in years
rate=2%=0.02
therefor the equation is
f(x)=23,000(1+0.02)^x
f(x)=23,000(1.02)^x
where x=time in years from 2012