We already know from the given data that 6 pencils can be bought for 59 cents. We have to determine the number of pencils that can be bought for $2.95.
So
Price of 6 pencils = 59 cents.
Price of 1 pencil = (59/6) cents
= 9.83 cents
Now total amount in hand for buying pencils = $2.95
= 295 cents
Then the number of pencils that can be bought for 295 cents = (295/9.83)
= 30.01
So the maximum number of pencils that can be bought for $2.95 is 30 pencils.
The coefficient 'a' for the quadratic term is a = 3
The coefficient 'b' for the linear term is b = -2
The coefficient 'c' is 0
Step-by-step explanation :
The given expression is,
To solve this problem we are using quadratic formula.
The general quadratic equation is,
Formula used :
Now we a have to solve the above equation and we get the value of 'x'.
a = 3, b = -2, c = 0
The coefficient 'a' for the quadratic term is a = 3
The coefficient 'b' for the linear term is b = -2
The coefficient 'c' is 0
Answer:
<h2>A. The series CONVERGES</h2>
Step-by-step explanation:
If
is a series, for the series to converge/diverge according to ratio test, the following conditions must be met.

If
< 1, the series converges absolutely
If
, the series diverges
If
, the test fails.
Given the series 
To test for convergence or divergence using ratio test, we will use the condition above.



aₙ₊₁/aₙ =

note that any constant dividing infinity is equal to zero



Since The limit of the sequence given is less than 1, hence the series converges.
Interest rate = 5.25%
<u>Step-by-step explanation:</u>
Simple Interest = Pnr = 4252.50
n = time = 54 months = 4.5 years
r = rate of interest = ?
P = 18,000
r = SI/Pn = 4252.50 / 18000× 4.5
= 0.0525 = 5.25%