Answer:
10 teeth must go on the driven gear
Step-by-step explanation:
Let the number of teeth be x
In order for the new product to maintain the same ratio as the old the ratio must remain the same. This means that
17:5 = 34:x

∴ 10 teeth must go on the driven gear
hence ratio = 34:10
The square root of 25/64=5/8
The following formula is applicable;
A=P(1+r)^n
Where,
A = Total amount accrued after 10 years (this is the amount from which the yearly withdrawals will be made from for the 30 years after retirement)
P=Amount invested today
r= Annual compound interest for the 10 years before retirement
n= Number of years the investments will be made.
Therefore,
A= Yearly withdrawals*30 years = $25,000*30 = $750,000
r= 9% = 0.09
n= 10 years
P= A/{(1+r)^n} = 750,000/{(1+0.09)^10} = $316,808.11
Therefore, he should invest $316,808.11 today.
Answer:
p(-5/3) ≠ 0 So, (3 x +5) is NOT A FACTOR of p(x)
Step-by-step explanation:
Here, the given function is 
Now, the given root of the function is ( 3x +5)
Now, if ( 3 x + 5) = 0,
we get x = - 5/3
So, the zero of the given polynomial is x = -5/3
Then, x = -5/3, p(x) =0 ⇒ ( 3 x + 5) is a FACTOR of p(x)
Now, let us find the value of function at x = -5/3
Substitute x = -5/3 in the given function p(x), we get:

Now, as p(-5/3) ≠ 0 So, (3x +5) is NOT A FACTOR of p(x)
Answer:
Step-by-step explanation:
First box is 7x. second is 7+x,third is x-7 last is 2x +7