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HACTEHA [7]
3 years ago
5

Sibal started with $500 in a bank account that does not earn interest. In the middle of every month, she withdraws 15 of the acc

ount balance. Which recursive function rule models Sibal’s balance at the end of each month?
an=4/5⋅an−1 and a1=500 ​
an=500⋅an−1 ​ and a1=1/5
an=1/5⋅an−1 ​ and a1=500
an=500⋅an−1 and a1=4/5
Mathematics
1 answer:
Otrada [13]3 years ago
4 0
After every month's withdrawals, 4/5 of the original amount at the start of the month will remain. The amount at the start of every month will change. Thus:
an = 4/5 (an-1) ; where a1 = 500.
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Answer:

The 98% confidence interval for the mean usage in the March quarter of 2006, in kWh, was (333.87, 416.13).

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 30 - 1 = 29

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 29 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.98}{2} = 0.99. So we have T = 2.462

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.462\frac{91.5}{\sqrt{30}} = 41.13

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 375 - 41.13 = 333.87 kWh

The upper end of the interval is the sample mean added to M. So it is 375 + 41.13 = 416.13 kWh

The 98% confidence interval for the mean usage in the March quarter of 2006, in kWh, was (333.87, 416.13).

6 0
3 years ago
Hi! PLS HELP!!! 20 POINTS!
seraphim [82]

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Step-by-step explanation:

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What i the constant of proportionality in the equation y - 2.5x?
ELEN [110]
2.5 because if you move x to the other side of the equation you will get y=2.5x, and the constant of proportionality is what x is multiplied by, in this case, it's 2.5.
5 0
3 years ago
I need help please I will greatly appreciate it
Nataly_w [17]

Answer:

  B.  Square

Step-by-step explanation:

When in doubt, it can help to plot the points on a graph.

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By looking at the coordinate values, you see that the first two points have the same y-coordinate (0) and the other two points have the same y-coordinate (-4). These points are on horizontal lines that are 4 units apart.

Looking at the x-coordinates, you see that one pair of points has x-coordinates 4, and the other pair has x-coordinates 8. That is, these pairs of points are on vertical lines that are 4 units apart.

Vertical and horizontal lines are at right angles to each other. That means the figure must be a rectangle or square. The lengths of the sides are all 4 units, so the figure is a square.

3 0
2 years ago
Y=-2х - 4 y=x - 5 how many solutions does this have​
spayn [35]

Answer:

one solution

Step-by-step explanation:

-2x - 4 = x - 5

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(1/3, -14/3)

5 0
3 years ago
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