Answer:
The function p = 75h represents this situation.
Step-by-step explanation:
We know the equation of linear equation in the slope-intercept form is
where
m = rate of change = slope
b = y-intercept
- Let 'h' be the number of hours
Given that Lian is paid SR 75 per hour.
so the rate of change of slope = m = 75
As there is no initial condition, so b = 0
as
y = mx+b
Now, mapping the information data into the slope-intercept form
Thus, the equation becomes
p = 75h
Therefore, the function p = 75h represents this situation.
VERIFICATION:
Given the equation
p = 75h
for h = 1
p = 75(1)
p = 75
Thus, Liam is paid SR 75 per hour.
Answer: he should invest $16129 today.
Step-by-step explanation:
Let $P represent the initial amount that should be invested today. It means that principal,
P = $P
It would be compounded annually. This means that it would be compounded once in a year. So
n = 1
The rate at which the principal would be compounded is 7.6%. So
r = 7.6/100 = 0.076
The duration of the investment would be 6 years. So
t = 6
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years.
A = 25000
Therefore
25000 = P(1+0.076/1)^1×6
25000 = P(1.076)^6
25000 = 1.55P
P = 25000/1.55
P = $16129
The law of detachment<span> allows you to "detach" the hypothesis from the conclusion. If we know both that </span>p<span> and </span>p<span> → </span>q<span> to be true, then we may conclude that </span>q<span> is true.
So the answers is the fourth one: I</span>f p <span>→</span><span> q is a true statement and p is true, then q is true.</span>
Answer:
the solution is (4, 1).
Step-by-step explanation:
The goal here is to "solve this system of linear equations." You need to share that along with the equations.
We can begin the solution by substituting 3y + 1 for x in the second equation:
2(3y + 1) + 4y = 12
Performing the multiplication, we get 6y + 2 + 4y = 12, or 10y = 10.
Then y must be 1.
Substituting 1 for y in the first equation, we get x = 3(1) + 1 = 4
Thus, the solution is (4, 1).
