Answer: -2, 2, 6, 10, 14
It is an Arithmetic sequence.
Step-by-step explanation:
Given Recursive formula : , for n ≥ 1 and A(1) = -2.
Hence, the five terms of given sequence= -2, 2, 6, 10, 14
Since, there is common difference of 4 in two consecutive terms.
Therefore, it is an Arithmetic sequence.
Answer:
Josh's total bill is $ 27.825
Step-by-step explanation:
Given:
The subtotal of the Josh Bill = $21.00
<u>Finding the usual amount Josh gave as Tip To his sever:</u>
Usually josh tips 20% to all servers
So Tip = 20% of his subtotal
=>
=>
=>
=>4.2
So Josh usually tips $4.2 to his server
<u>Finding the amount Josh gave 25%</u><u> </u><u>as Tip To his sever:</u>
But now he tips 25% which is
=> 25% of 21
=>
=>
=> 5.25
Thus the tip amount will be $5.25
So he will be giving (5.25 - 4.2) = $1.05 more than the usual tip
<u>Finding the total bill</u>
The total bill = subtotal+ 7.5% sales tax + 25% tip
=> 21 + 7.5 % of 21 + 25% of 21
=>
=>
=> 21 +1.575 +5.25
=>27.825
Answer:
A dilation by a factor of three about Point T followed by a translation of two units downwards.
Step-by-step explanation:
When transforming functions, we will reflect/dilate the figure first and then translate it. This is directly from the order of operations.
Since we are trying to determine the transformation that was performed, we can try to map ΔS'T'U' onto ΔSTU. We can start by translating the figure and then determining any reflections/dilations.
First, we can translate ΔS'T'U' up two units to map T' onto T. This is represented by the black triangle in the image below. Let the black triangle be ΔS''T''U''. (T'' and T are the same point.)
Next, notice that from Point T'' to U'', we move nine units right and six units up.
From Point T to Point U, we move three units right and two units up.
Likewise, from Point T'' to S'', we move six units left and nine units up.
From Point T to Point S, we move two units left and three units up.
Therefore, to map ΔS''T''U'' onto ΔSTU, we dilate ΔS''T''U'' about Point T by a factor of 1/3.
Hence, by reversing the transformations, to acquire ΔS'T'U', we can see that we will dilate ΔSTU by a factor of three about Point T and then a perform a translation of two units downwards.
