Answer:
$1632
Step-by-step explanation:
Given data
Principal= $1200
Rate= 12%
Time= 3 years
The simple interest expression is given as
A= P(1+rt)
substitute
A=1200(1+0.12*3)
A=1200(1+0.36)
A=1200*1.36
A=$1632
Hence the amount is $1632
8 goes with 3/5: 10 goes with n (n being the number of cups)

Use cross products and we get 8n = 6
Now divide by 8
<u>8n</u> = <u>6
</u><u />8 8
n= 6/8 or 3/4 of a cup of flour.
The value of x when y = 2 is x = 36
Step-by-step explanation:
The equation that we have in this problem is:

In order to find the value of x when y is equal to
y = 2
We need to re-arrange the equation making x the subject.
We proceed as follows:
1) We add +7 on both sides:

2) Now we multiply both sides by 4:

3) Now we can substitute y = 2 and find the value of x:

Learn more about equations:
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1. Domain.
We have

in the denominator, so:
![x^2-2x-3\neq0\\\\(x^2-2x+1)-4\neq0\\\\(x-1)^2-4\neq0\\\\(x-1)^2-2^2\neq0\qquad\qquad[\text{use }a^2-b^2=(a-b)(a+b)]\\\\(x-1-2)(x-1+2)\neq0\\\\ (x-3)(x+1)\neq0\\\\\boxed{x\neq3\qquad\wedge\qquad x\neq-1}](https://tex.z-dn.net/?f=x%5E2-2x-3%5Cneq0%5C%5C%5C%5C%28x%5E2-2x%2B1%29-4%5Cneq0%5C%5C%5C%5C%28x-1%29%5E2-4%5Cneq0%5C%5C%5C%5C%28x-1%29%5E2-2%5E2%5Cneq0%5Cqquad%5Cqquad%5B%5Ctext%7Buse%20%7Da%5E2-b%5E2%3D%28a-b%29%28a%2Bb%29%5D%5C%5C%5C%5C%28x-1-2%29%28x-1%2B2%29%5Cneq0%5C%5C%5C%5C%0A%28x-3%29%28x%2B1%29%5Cneq0%5C%5C%5C%5C%5Cboxed%7Bx%5Cneq3%5Cqquad%5Cwedge%5Cqquad%20x%5Cneq-1%7D)
So there is a hole or an asymptote at x = 3 and x = -1 and we know, that answer B) is wrong.
2. Asymptotes:

We have only one asymptote at x = -1 (and hole at x = 3), thus the correct answer is A)
The probability that the next 4 winners will all be 7th grade students is 3/4