Answer=$44,000
Given the data, the following equation can be made where x is equal to the amount needed to sell to make the same amount as the hourly wage.
40*22=0.02*x
880=0.02*x
divide both sides by 0.02
44000=x
She needs to sell $44,000 in a week to earn the same amount as she would with an hourly wage.
Step-by-step explanation:
∫ t⁷ e^(-t⁴) dt
If x = -t⁴, then dx = -4t³ dt, and ¼ x dx = t⁷ dt.
∫ ¼ x eˣ dx
If u = ¼ x, then du = ¼ dx.
If dv = eˣ dx, then v = eˣ.
∫ u dv = uv − ∫ v du
= ¼ x eˣ − ∫ ¼ eˣ dx
= ¼ x eˣ − ¼ eˣ + C
= ¼ eˣ (x − 1) + C
Substitute back:
= ¼ e^(-t⁴) (-t⁴ − 1) + C
I would use simultaneous equations to do this.
let the greater number be y and the smaller be z.
so,
y - z = 2452. we call this formula 1.
y = 5z. this is formula 2.
since formula 2 directly already tells you what is y, we don't need to modify it, we can directly sub it into formula 1.
so now we get,
5z - z = 2452.
4z = 2452
z = 613
great, now we have z, just sub z = 613 into formula 2.
y = 5 x 613
y = 3065
now we have both numbers and we just add them together for the sum.
613 + 3065 = 3678
so I think the answer is 3678.
Answer:
x = 5
Step-by-step explanation:
Set up an equation:
x + 19 = 5x - 1
Add 1 to both sides:
x + 20 = 5x
Subtract x from both sides:
20 = 4x
Divide both sides by 4:
x = 5