Option 3: a 90 degree rotation clockwise
You can tell that it is 90 degrees because the original started completely in quadrant 2 and the final image is completely in quadrant 1. If it was only rotated 45 degrees the final image would be part in quadrant 2 and part in quadrant 1. It was rotated clockwise because that is the way a clock goes.
Hope this helps! ;)
Evaluating the given sequence, it is evident that the next number is twice the number prior to it. Thus, the given is a geometric sequence with first term (a1) equal to 1 and common ratio of 2. The geometric series may be calculated by the equation,
Sn = a1 x (1 - r^n) / (1 - r)
where Sn is the sum of n terms in this case, n = 11.
Substituting the known values,
<span> Sn = 1 x (1 - 2^11) / (1 - 2) = 2047
</span>
Thus, S11 is 2047.
Here is how we get the answer....
First, replace f(x) with y . ...
Replace every x with a y and replace every y with an x .
Solve the equation from Step 2 for y . ...
Replace y with f−1(x) f − 1 ( x ) . ...
Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.
the new price of the bike is $380
Given Information:
Monthly payment = MP = $1500/4 = $375
Monthly interest rate = r = 25/12 = 2.083%
Required Information:
Present Value = ?
Answer:
Explanation:
n = 10*4
n = 40 monthly payments
The present value is found by
Where r is monthly interest rate.
MP is the monthly payment.
Therefore, $10,110 is the present value of 10 quarterly payments of $1500 each at 25% interest rate compounded each month.
