Answer:
Option B. y = cosx + 1
Step-by-step explanation:
To understand the given graph we will note down it's features as below.
1). Since it's a periodic function and y value of graph is maximum at x=0 so its a cosine function.
2). Vertical shift of the graph is 1 means y=0 is the mid line of the graph.
3). Amplitude of the graph is = (2-0)/2 = 1
4). Phase shift of the given graph = 0
The graph satisfying all properties is option B. y = cosx + 1
Answer: 45
<u>Step-by-step explanation:</u>
5 : 5 : 3 is simplified so it can be rewritten as 5x : 5x : 3x
↓ ↓ ↓
Sara Nick June
Sara has 18 more than June --> 5x = 3x + 18
2x = 18
x = 9
In expanded form we have 5(9) : 5(9) : 3(9)
45 : 45 : 27
↓ ↓ ↓
Sara Nick June
Monday = X
Tuesday = X + 3 (Problem says three more hours than he worked on Monday)
Wednesday = 2x + 1
(Problem says he worked 1 hour more than two times the number of hours on monday)
This side of the equation would be -
X + (X +3) + (2X + 1)
That's monday plus tuesday plus wednesday.
Then you would set up the other side of the equation.
This would be the total number of hours so it would be equal to monday, tuesday and wednesday combined.
2 + (5x)
Two hours more than five times the amount of Monday (X)
Now we put this together to have an equation
X + (X + 3) + (2x+ 1) = 2 + 5x
Now we need to collect like terms
4x + 4 = 2 + 5x
I just simplified the left side of the equation
Now I will subtract 4x from the left side to get all the variables on one side
4 = 2 + x
Now I subtract 2 to get the numbers both on one side
2 = x
So, Colby worked 2 hours on Monday.
Answer:
Use the simple interest formula: A = P(1 + rt) where P is the Principal amount of money to be invested at an Interest Rate R% per period for t Number of Time Periods.
First, converting R percent to r a decimal
r = R/100 = 5.5%/100 = 0.055 per year.
Solving our equation:
A = 30000(1 + (0.055 × 7)) = 41550
A = $41,550.00
The total amount accrued, principal plus interest, from simple interest on a principal of $30,000.00 at a rate of 5.5% per year for 7 years is $41,550.00.
Step-by-step explanation:
Answer: (C) 7x + 11x =90
Step-by-step explanation: The angle is a right angle which means that it equals 90 degrees so both angles in the right angle will add up to 90 degrees.
