Keeping in mind that x = rcos(θ) and y = rsin(θ).
we know the magnitude "r" of U and V, as well as their angle θ, so let's get them in standard position form.
The answer of this question is 883 in
Hello!
to solve this equation, you have to find the percentage of defects out of the total amount of jeans. if there are 300 pairs of jeans with 8 faulty pairs, then the percentage of defects would be 2.666(etc). 2.666(etc) percent of 3000 is roughly 80 pairs of defective jeans.
therefore your final answer would be 80 pairs of jeans!
Since interest=investment*interest rate*time in years for simple interest, we know that there are 2 separate investments. If the amount invested at 6% simple interest is x dollars and the amount invested at 8% is y dollars, then we know that x+y=6000 since she spent all 6000 dollars on only 2 separate investments. Subtracting y from both sides, we get that 6000-y=x. In addition, we know that her interest for the 6% interest rate is x*0.06*1 as well as y*0.08*1 for the 8% simple interest. Since the total interest is 410$, we know that x*0.06*1+y*0.08*1=410. Since y=6000-x, we plug that in to get x*0.06+(6000-x)*0.08=410. Using the distributive property to expand, we get x*0.06+480-0.08x=410=-0.02*x+480. Subtracting 480 from both sides, we get -0.02*x=-70. After that, we can multiply both sides by -50 (since -0.02 times -50 is 1) to get x=3500=amount invested at 6%. Since the amount invested at 8% is 6000-x, that equals 6000-3500=2500
