Answer:
The frequency of the given sinusoidal graph is 4.
Step-by-step explanation:
The frequency of a sinusoidal graph is the number of cycles it completes in the interval 0 to 2π radians.
From the given sinusoidal graph it is noticed that the the graph complete its one cycle in the interval 0 to 
.
If the complete its one cycle in , then the number of cycles completed by the graph in the inteval 0 to 2π is
Therefore the frequency of the given sinusoidal graph is 4.
Answer:
A is y-4 x-4
B is y-3 x-2
C is y-1 x-2
D is y-1 x-4
Step-by-step explanation:
look at where they are lined up from y to x
Answer: the price for an adult ticket is $3
Step-by-step explanation:
Let x represent the price of one adult ticket.
Let y represent the price of one child ticket.
The Martinez family went to play and paid $13 for 1 adult and 4 children. This means that
x + 4y = 13 - - - - - - - - - - -1
The Hernandez family went to the same place and paid $14 for 3 adults and 2 children. This means that
3x + 2y = 14 - - - -- - - - - - - -2
Multiplying equation 1 by 3 and equation 3 by 1, it becomes
3x + 12y = 39
3x + 2y = 14
Subtracting, it becomes
10y = 25
y = 25/10 = 2.5
Substituting y = 2.5 into equation 1, it becomes
x + 4 × 2.5 = 13
x + 10 = 13
x = 13 - 10
x = 3
The are is eleven because 2×11= 22
The amount that will be in the account after 30 years is $188,921.57.
<h3>How much would be in the account after 30 years?</h3>
When an amount is compounded annually, it means that once a year, the amount invested and the interest already accrued increases in value. Compound interest leads to a higher value of deposit when compared with simple interest, where only the amount deposited increases in value once a year.
The formula that can be used to determine the future value of the deposit in 30 years is : annuity factor x yearly deposit
Annuity factor = {[(1+r)^n] - 1} / r
Where:
- r = interest rate
- n = number of years
$2000 x [{(1.07^30) - 1} / 0.07] = $188,921.57
To learn more about calculating the future value of an annuity, please check: brainly.com/question/24108530
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