Answer:
x = 1
z = 1/2
Step-by-step explanation:
z = 3/y
z = 3/6
z = 1/2
x = 2z
x = 2(1/2)
x = 1
The future value of a monthly deposit A=125.30 at annual interest i=0.015 per annum for n=35 years compounded monthly is given by
FV=A((1+i/12)^(12*n)-1)/(i/12)
=125.30(1+0.015/12)^(12*35)/(0.015/12)
=$69156.05
The annuity formula is given by
Payment = r(PV)/(1-(1+r)^(-n))
where
r=interest rate per period = 0.015/12
PV= $69156.05
n=20*12=240
so
Payment = (0.015/12)<span>69156.05/(1-(1+0.015/12)^(-240))
= $333.71 per month.</span>
Answer:
The winner completed the race in 96 hours and 52 minutes.
Step-by-step explanation:
Given:
Distance of the cycling race = 2292 miles
Average speed of the winner = 
We need to find time required by winner to complete the race.
Solution:
Now we know that;
Time required can be calculated by dividing Total Distance from the Average speed.
framing in equation form we get;
time required by winner to complete the race = 
Now converting
into minutes we get;

Hence the winner completed the race in 96 hours and 52 minutes.
Answer:
Step-by-step explanation:
Let the equation of the cosine function is,
y = Acos(Bx)
From the graph attached,
A = Amplitude = 
= 1
B = 
B = 
B = 
B = 4
Therefore, equation of the cosine wave given in the graph will be,
y = 1.Cos(4x)
y = Cos(4x)
There we have an information of two functions 
Using this two functions
, we need to find the composition of functions (h\circ g)(t).
The composition of two functions h and g is the new function , by performing g first and then performing h.



Composition of h and g (t) = 

First plugin the value of 


We know that
, we need to find h(3t+3),
That is, to replace t by 3t+3,

Now distribute 2 into 3t+3,

Now plug in 


Thus the solution is (D).