Answer:
Step-by-step explanation:
9%
Answer:
$200
Step-by-step explanation:
Let X be the amount of Christmas money he had at the beginning.
He put 65% of X in the bank. This is 0.65x
He has $70 left which is equal to 0.35x
We need to write an equation to find the value of x.
70 = 0.35x
Divide by 0.35 to find the value of x.
70/0.35 = 0.35x/0.35
200 = x
He received $200 for Christmas.
T is time, and s is speed. T is inversely proportional to s
Answer:
Rate of change = $0.55/pound
Step-by-step explanation:
Given:
To ship a 2 pound item it costs $6.09.
To ship a 7 pound item it costs $8.84.
So, we can put the data in co-ordinates such that co-ordinate represents the mass of the item in pounds and co-ordinate represents the cost of the item in dollars.
So, we will have two points
Rate of change is the slope of the line joining the points and is given by:
∴ Rate of change = $0.55/pound
Answer: see proof below
<u>Step-by-step explanation:</u>
Given: cos 330 =
Use the Double-Angle Identity: cos 2A = 2 cos² A - 1
Proof LHS → RHS:
LHS cos 165
Double-Angle: cos (2 · 165) = 2 cos² 165 - 1
⇒ cos 330 = 2 cos² 165 - 1
⇒ 2 cos² 165 = cos 330 + 1
Given:
Divide by 2:
Square root:
Scratchwork:
Since cos 165 is in the 2nd Quadrant, the sign is NEGATIVE
LHS = RHS