In this item, we are not given with the figure but knowing that these lines ought to be perpendicular then we will be able to derive the relationship between the slopes of the line.
The slopes of the perpendicular line are the negative reciprocals of one another. If we represent the slopes of the lines as m₁ and m₂, the relationship can be written in the form,
(m₁)(m₂) = -1
We are given with one of the slopes. To determine the value of the second slope then,
m₂ = -1/m₁
m₂ = -1/(2/5)
m₂ = -5/2
<em>ANSWER: m₂ = -5/2</em>
Find the mean absolute deviation for the data set. {3, 5, 6, 3, 2, 2, 1, 0, 0, 4, 7, 4, 5, 5, 6}
Ratling [72]
Answer:
0.50
Step-by-step explanation:
The mean = 3 + 5 + 6+ 3 +2+ 2+ 1+0+ 0+ 4+ 7+ 4+ 5 + 5 + 6) / 15
= 53/15
= 3.533
Difference of values from the mean:
<u> n </u> <u> n - 3.533</u> (Absolute value)
3 0.533
3 0.533
6 2.467
3 0.533
2 1.533
2 1.533
1 2.533
0 3.533
0 3.533
4 0.467
4 0.467
5 1.467
5 1.467
6 2.567
7 3.467
Totals:
53 26.533
So the M.A.D. = 26.533 / 53 = 0.50
Answer: lt will take 28.09 years for the account value to reach $37800
Step-by-step explanation:
Hi, to answer this question we have to apply the compounded interest formula:
A = P (1 + r) t
Where:
A = Future value of investment (principal + interest)
P = Principal Amount
r = Annual Nominal Interest Rate (decimal form)
Replacing with the values given
37800= 9600 (1+0.05)^t
Solving for t (years)
37800/9600 = 1.05^t
3.9375 = 1.05^t
log 3.9375 = log 1.05^t
log 3.9375 = t (log 1.05)
log 3.9375/log 1.05 = t
t = 28.09 years
Answer:
1a) C = 600 + 5n
1b) R = 6n
Step-by-step explanation: