Answer:
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Step-by-step explanation:
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Answer:
$7,987.64
Step-by-step explanation:
We know,
A = Pe^(rt)
Here,
A = 11000
interest r = .08
Time t = 4
Now,
11000 = Pe^(.08 * 4)
Or, 11000 = Pe^.32
Or, 11000 / e^.32 = P
Or, 7987.6394 = P
Or, P= 7,987.64
Jerome will have to ask for $7,987.64 to his parents.
Answers:
x = 2√2 units
y = 2√6 units
Explanation:
The given diagram is a right-angled triangle. This means that the special trig functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
For getting x and y, we can choose to either work with θ = 30 or θ = 60.
I will work with 30.
1- For x:
We have:
θ = 30
x is the opposite side to θ
4√2 is the hypotenuse
Therefore, we can apply the sine function as follows:
sin θ = opposite / hypotenuse
sin (30) = x / 4√2
x = sin (30) * 4√2
x = 2√2 units
2- For y:
We have:
θ = 30
x is the adjacent side to θ
4√2 is the hypotenuse
Therefore, we can apply the cosine function as follows:
cos θ = adjacent / hypotenuse
cos (30) = y / 4√2
y = cos (30) * 4√2
y = 2√6 units
Hope this helps :)
The slope of the parallel line is -6/7
the slope of the perpendicular line is 7/6
the slope of the line = -6/7
the gradient of two parallel lines are equal
the product of the gradient of two perpendicular lines is -1
: the gradient m1*m2 = -1
m2= -1(-6/7)
m2= 7/6

Explanation:
Since we have given that
The prices of three t-shirts styles i.e $24, $30, $36 with their probability is given by

As we know that,


Now,

and

So,

So, the expected value of a t-shirt = $31.