Answer:
y = 100 2^h
Step-by-step explanation:
The formula for growth is given by
y = ab^x
where a is the initial value and b is the growth rate
a = 100
b = 2 since we are doubling
x is the amount of time = h
y = 100 2^h
Answer:
MAD is 5.12
Step-by-step explanation:
The following data were obtained from the question:
42, 50, 54, 38, 48
Next, we shall determine the mean of the data. This can be obtained as follow:
Mean = summation X / n
n is the number of the data.
Summation X = 42 + 50 + 54 + 38 + 48
Summation X = 232
n = 5
Mean = summation X / n
Mean = 232 / 5
Mean = 46.4
Therefore, the mean of the data is 46.4
Finally, we shall determine the mean absolute deviation (MAD) of the data as follow:
MAD = summation |mean – X| /n
MAD = (|(46.4 – 42) + (46.4 – 50) + (46.4 – 54) + (46.4 – 38) + (46.4 – 48|) /5
MAD = |4.4 + 3.6 + 7.6 + 8.4 + 1.6| /5
MAD = 25.6/5
MAD = 5.12
Therefore, the mean absolute deviation (MAD) is 5.12
<h3>
Answer: $111.11</h3>
=======================================================
Explanation:
Let's say you earn x dollars.
You pay 10% tax on that, which means you pay 0.10x dollars.
This would drop to x-0.10x = 0.90x which is the amount earned after tax.
So you pay 10% of what you earn, and keep 90% of the rest.
Set this equal to the target $100 you want and solve for x.
0.90x = 100
x = 100/0.90
x = 111.11
Notice that 10% of this is 0.10*x = 0.10*111.11 = 1.11 when rounding to the nearest penny. So you'll pay $1.11 in tax. Therefore, you'd have x-0.10x = 111.11 - 1.11 = 100 left over. So the answer checks out.
I would say D) because even though it has a higher ARP but it does have a lower annual fee
Answer:
No solution
Step-by-step explanation:
We have

For the sum it is not correct to assume

Note that for

it is assumed
and in your case
for 
In fact, considering a set
we have
that satisfy 
This means that, by definition 
Therefore,

because the sum is empty.
For

we have other problems. Actually, this case is really bad.
Note that
has no value. In fact, if we consider for the case
, the cosine function oscillates between
, and therefore it is undefined. Thus, we cannot evaluate

and then

has no solution