The equation modelling Sonya's savings is A(m) = 300 + 20m, where A is the total saved, 300 is the initial amount saved, 20 is the amount saved monthly, and m is the number of months.
The correct model for this question is A(m) = 300 + 20m. This is because Sonya initially has $300 in her savings account, represented by the 300 in the equation, and each month she saves an additional $20, represented by the 20m in the equation. The variable m in the equation represents the number of months Sonya has been saving money. So each time m increases by 1 (meaning one month passes), the total amount of money, A, increases by $20. So if m represents 3 months, Sonya has $300 + $20*3 = $360 in her account.
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Answer:
is a
Step-by-step explanation:
B) n = 3
C) n = 5
D) n = 6
For n=2,
put the value 2 in the above equation we get 525*2=1050°.
1050° angle takes 2 complete revolution and then makes an angle of 330° which will fall in the negative portion of y-axis.
For n=6,
put the value 6 in the above equation we get 525*6=3150°.
3150° angle takes 8 complete revolution and then makes an angle of 270° which will fall along negative y-axis.
The value of n that causes the y-component of the terminal side to be negative is n = 2.
We know that for a polar point with coordinates of (R, θ), the rectangular coordinates of an equivalent point are:
x = R*cos(θ)
y = R*sin(θ)
In this case, R does not matter, because it is always positive. We want to have a negative value of y, so we want:
y = sin(θ) < 0.
where θ = (525n)°
So we can check for different values of n, and see which one gives a negative sine:
n = 2
sin(525*2°) = -0.5
So for the first value that we tried, we found the correct option. Then we conclude the correct option is A.
If you want to learn more about the sine function:
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Answer:
x=30
Step-by-step explanation:
2 times 1/2(x+6)=18 times 2
x+6=36
x+6-6=36-6
x=30
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Answer:
Step-by-step explanation:
First you have to perform distributive property which is
2((x+6)=18) 2
Which will turn to
X+6=36
Then move the constant to the right so
X=36-6 then calculate
So the answer is 30
The value of x is 30