The factors of 180 are
(1, 180), (2, 90), (3, 60), (4, 45), (5, 36), (6, 30), (9, 20), (10, 18), (12, 15).
The GCD of 6 is the largest positive integer that divides 180.
Therefore the required factors of 180 are a=6 and b=30 or vice versa.
a + b = 6 +30 = 36
Answer: 36
Answer:
833.29
Just work it out on a piece of paper.
Answer:
a solution is 1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) + π/4
Step-by-step explanation:
for the equation
(1 + x⁴) dy + x*(1 + 4y²) dx = 0
(1 + x⁴) dy = - x*(1 + 4y²) dx
[1/(1 + 4y²)] dy = [-x/(1 + x⁴)] dx
∫[1/(1 + 4y²)] dy = ∫[-x/(1 + x⁴)] dx
now to solve each integral
I₁= ∫[1/(1 + 4y²)] dy = 1/2 *tan⁻¹ (2*y) + C₁
I₂= ∫[-x/(1 + x⁴)] dx
for u= x² → du=x*dx
I₂= ∫[-x/(1 + x⁴)] dx = -∫[1/(1 + u² )] du = - tan⁻¹ (u) +C₂ = - tan⁻¹ (x²) +C₂
then
1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) +C
for y(x=1) = 0
1/2 *tan⁻¹ (2*0) = - tan⁻¹ (1²) +C
since tan⁻¹ (1²) for π/4+ π*N and tan⁻¹ (0) for π*N , we will choose for simplicity N=0 . hen an explicit solution would be
1/2 * 0 = - π/4 + C
C= π/4
therefore
1/2 *tan⁻¹ (2*y) = - tan⁻¹ (x²) + π/4
Answer:
9% of $1500 is $15 so she gains an extra $15 for each of the 18 years
$1500 in the bank each year for 18 years is $27000 after 18 years
$15 each year as well so that’s an extra $270 in the bank
The total in the bank is the sum of what she has invested and the interest so the total in the bank is $27270
Step-by-step explanation:
Answer:
90.78%
Step-by-step explanation:
So the 100% value of the car=$28500
We don't know the percentage ?% =$25875
So 25875/28500×100=90.78%
