Answer:
1/4 or decimal : 0.25.
Step-by-step explanation:
I'm pretty sure this is right
The sequence is geometric. Any exponential function models geometric growth. Recall the general nth term of a geometric sequence is a*(r)^(n-1) which is very similar to the form y = a*b^x. The big difference is that the x function is continuous while the function in terms of n is discrete. In this case, the common ratio is r = 1.10 to indicate we have 10% growth. Notice how 100%+10% = 1.00+0.10 = 1.10
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The first quadrant is where x and y are both positive. Since x is the time in years, it doesn't make sense to talk about negative years or negative years have passed by. We can have a negative balance in a bank account, so it makes sense to have y be negative. However, Mr Sullivan starts with some positive amount and his account grows every year. So there's no way that y can be negative in this case.
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The point (0,200) is the y intercept. It represents the starting amount he deposited into the account, which was the $200. Keep in mind that no other deposits were made, and he cannot pull money out of the account if he wants his account to grow according to the graph. Also, the interest rate must remain at 10%.
Answer:
16
Step-by-step explanation:
x+2x=24
x=8
2x=raisins=16
Using proportions, it is found that the coordinates of Alonso's home are given by: (3,6).
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Alonso's home is one third of the way from the shelter to Precious Pup Grooming, considering the ratios given, hence:
A - S = 1/3(P - S).
For the x-coordinate, we have that:
x + 1 = 1/3(11 + 1)
x + 1 = 4
x = 3.
For the y-coordinate, we have that:
y - 9 = 1/3(0 - 9)
y - 9 = -3
y = 6.
The coordinates of Alonso's home are given by: (3,6).
More can be learned about proportions at brainly.com/question/24372153
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Answer:
n = 2
Step-by-step explanation:
Given nx + y = 4, if we rearrange in slope-intercept form: y = -nx + 4
This means that the y-intercept is 4. Point "A" is the y-intercept, which would make OA = 4, and OB = 1/2(4) = 2.
We can now solve for n. The slope here is "-n", also represented by rise/run or OA/-OB = 4/-2 = -2.
-n = -2,
n = 2
