At the end of the January the balance of credit card need to be $498+$35=$533
$533 is more than one half of the $900. So at the end of the January.
Answer:
incorrect length is 12.5
actual length is 11
12.5-11
1.5
1.5/12.5 ×100
20%
Step-by-step explanation:
hope it helps
Answer:
-30√(t/a) cos(√(at)) + 30/a sin(√(at)) + C
Step-by-step explanation:
∫ 15 sin(√(at)) dt
Use substitution:
If x = √(at), then:
dx = ½ (at)^-½ (a dt)
dx = a / (2√(at)) dt
dx = a/(2x) dt
dt = (2/a) x dx
Plugging in:
∫ 15 sin x (2/a) x dx
30/a ∫ x sin x dx
Integrate by parts:
If u = x, then du = dx.
If dv = sin x dx, then v = -cos x.
∫ u dv = uv − ∫ v du
= 30/a (-x cos x − ∫ -cos x dx)
= 30/a (-x cos x + ∫ cos x dx)
= 30/a (-x cos x + sin x + C)
Substitute back:
30/a (-√(at) cos(√(at)) + sin(√(at)) + C)
-30√(t/a) cos(√(at)) + 30/a sin(√(at)) + C
Answer: 10
Step-by-Step explanation: 7 is the width and there are two wide sides so you have 14. 34-14 is 20. Now because you have 20 left and there are two long sides you need to divide 20 by 2. 20 divided by 2 =10.
