solve for x.
4x−5=7+4y
Add 5 to both sides.
4x−5+5=4y+7+5
4x=4y+12
Divide both sides by 4.
4x/4=4y+12/4
x=y+3
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Answer:
(f+g)(x) = x^2 +10x +7
Step-by-step explanation:
(f+g)(x) = f(x) +g(x) = (15x +7) +(x^2 -5x)
= x^2 +x(15 -5) +7
= x^2 +10x +7
Answer:
Step-by-step explanation:
Suppose at t = 0 the person is 1m above the ground and going up
Knowing that the wheel completes 1 revolution every 20s and 1 revolution = 2π rad in angle, we can calculate the angular speed
2π / 20 = 0.1π rad/s
The height above ground would be the sum of the vertical distance from the ground to the bottom of the wheel and the vertical distance from the bottom of the wheel to the person, which is the wheel radius subtracted by the vertical distance of the person to the center of the wheel.
(1)
where 
is vertical distance from the ground to the bottom of the wheel, 
is the vertical distance from the bottom of the wheel to the person, R = 10 is the wheel radius, 
is the vertical distance of the person to the center of the wheel.
So solve for in term of t, we just need to find the cosine of angle θ it has swept after time t and multiply it with R
Note that is negative when angle θ gets between π/2 (90 degrees) and 3π/2 (270 degrees) but that is expected since it would mean adding the vertical distance to the wheel radius.
Therefore, if we plug this into equation (1) then
Using an exponential equation, supposing a rate of 5%, it is found that it will take about 2.9 years for Emma's balance to reach $450.
An increasing exponential function is modeled by:
In which:
A(0) is the initial value.
r is the growth rate, as a decimal.
In this problem:
Her initial balance is of $300, hence . A(0)=300
The growth rate is of 15%, hence R =0.15
Then,
It will reach $450 after t years, for which A(t) = 450, hence:
It will take about 2.9 years for Emma's balance to reach $450
Learn more about logarithm here
brainly.com/question/247340
#SPJ4 .
Tom and Martin worked <u>9 hours</u> this week.
These are their hourly wages:
Tom: $2.15
Martin: $2.50
This means that:
Tom earned 9 x $2.15 in wages, which is equal to $19.35.
Martin earned 9 x $2.50 in wages, which is equal to $22.50.
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Now, we've been told that Tom and Martin sold $360 worth
of meals but we were not told how much they received in tips.
For all intents and purposes, let's say that they received $n
in tips. 15% of $n in tips would be less than 20% of $n
in tips. Now, Martin is already going to be receiving a higher
wage, and the fact that he is going to be receiving 20% of
$n in tips compounds the logical conclusion that at the end
of the week, he'd be leaving work with more money than Tom.
Answer:
Martin made more money than Tom.
