Answer:
118.625
Step-by-step explanation:
Lets clear this up.
M = $65.
6 months = 182.5 days
We may turn 65 into a decimal for a more exact answer.
<h3>
65 = 0.65 (changing it to a decimal does not change the value.)</h3>
Now we can do
182.5 x 0.65
= 118.625.
For your homework you could say.
"6 months is 182.5 days, we would need to change 65 into a decimal, which is 0.65 to get a more exact answer. 182.5 x 0.65 = 118.625. Sally will be paid 118.625 in 6 months."
Answer:
Option D) The data are continuous because the data can take on any value in an interval
Step-by-step explanation:
We are given the following in the question:
Data: The heights (in feet) of different buildings
Discrete and continuous data:
- Discrete data is the data that cannot take values in decimals and continuous data can take values in decimals.
- Continuous data can take any value within an interval.
- Discrete data cannot take all the value within an interval.
- Discrete data is counted where as continuous data is measured.
Thus, height is a continuous data since it can take any values within an interval and is measured.
Thus, the correct answer is
Option D) The data are continuous because the data can take on any value in an interval
Answer:

Step-by-step explanation:
step 1
Find the slope of line L
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal
In this problem we have

Isolate the variable y

The slope of the given line is

so
The slope of the Line L is

step 2
Find the x-intercept of the line

The x-intercept is the value of x when the value of y is equal to zero
so
For y=0

The x-intercept is the point (5/2,0)
step 3
Find the equation of the line L
Find the equation of the line in point slope form

we have

substitute


Convert to standard form
AX +By+C
where
A is a positive integer
B and C are integers
Multiply both sides by 4

Answer:
The initial amount, A is approximately $19,991.1.
Step-by-step explanation:
The initial amount the man invests in the bank = A
The amount the man deposits after 15 years = $10,000
The amount in the account after 50 years = $251,894.21
The amount of money after every 15 years = 2 × Initial amount
Therefore, we have;
The amount in the account 15 years after when the man deposits another $10,000 = 2 × A
Therefore the initial amount at the 15th year = 2·A + 10000
The
We have;
2·A = A·(1 + r)¹⁵
(1 + r)¹⁵ = 2
1 + r = 2^(1/15)
r = 1 - 2^(1/15) = 0.04729412282
Therefore, we have;
On the 50th year, 50 - 15 = 35 year
$251,894.21 = (2·A + 10000)·(1 + 0.04729412282)³⁵
A = ($251,894.51/((1 + 0.04729412282)³⁵) - 10000)/2 ≈ $19991.1
The initial amount, A ≈ $19991.1.
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