Answer:
eleven more than a number squared, decreased
by six;
evaluate when t = 5
Evaluating Expressions
Write the expression as 11 +t2 -6
Write the expression as 11 +2t -6
Write the expression as t underscore 2
The value when t = 5 is 16.
The value when t = 5 is 30.
The value when t = 5 is 7.5.
Equation of cost per month: 39.95+0.35((x-500)=>0)=cost. (x=minutes of usage)
Explanation: The cell phone plan, at the start of a month costs $39.95, which is graph terms is the Y intercept. Thus the "39.95+" at the start of the equation. Since the first 500 minutes is free, then the cost of the plan must start after these 500 minutes, which is why there is a -500 for the amount of minutes used, but because the amount of minutes can be less than 500, which will result to a negative number (which can not happen, because these minutes are free), we must add a "greater than or equal to 0" sign at the end of t-500, so that the result must be 0 minutes or more. Since the cost of every minute after the first 500 minute costs $0.35, we must add that to the amount of minutes of usage that have passed, thus the 0.35x. All the results to 39.95+0.35((x-500)=>0)=cost in dollars
as for the bill of $67.70 questions, we simply have to plug this into the equation, making:
39.95+0.35((x-500)=>0)=$69.70
-39.95 -39.95
0.35((x-500)=>)=$29.75
/0.35 /0.35
x-500=85
+500 +500
x=585
So the answer is that it takes 585 minutes of usage to receive a bill of $69.70.
Given expression: (A+b)^3.
We can expand it into three factors as (A+b)(A+b)(A+b).
First we would foil (A+b)(A+b) =
Combining like terms, we get
=
Now, we would multiply (A^2 +2Ab + b^2) and (A+b).
=
Combining like terms, we get
Therefore,
Answer:
The population at the end of 2017 is 65,550
Step-by-step explanation:
step 1; find the population at the end of 2016
if 60,000 increases by 15% therefore final % = 100 +15 =115%
Therefore 60,000 = 100%
? = 115%
<em>by cross multiplication</em>
={ (115 % x 60,000) /100} =69,000
Step 2: find the population at the end of 2017
if 69,000 decrease by 5% therefore the final% = 100 -5 =95%
Therefore 69000 = 100%
? = 95%
by cross multiplication
= 69000 x 95/100 = 65,550
The answer is B. Use the trig identity (sin x)^2+(cos x)^2=1. Since cos x=0.3090, sinx=+-\sqrt(1^2-0.3090^2)=+-0.9511. Since 0<x<90, sin x must be positive, so sin x=0.9511. tan x=sin x/cos x=0.9511/0.3090=3.0780.