Answer:
10
Step-by-step explanation:
Rate of drainage for pump A and B = [1 pool drained]/[6 hours]
Rate of drainage for pump A (older pump) = [1 pool drained]/[15 hours]
Rate for pump B (newer pump) = [1 pool drained]/[t hours]
Thus, adding the rate of drainage of A and B,
1/t + 1/15 = 1/6
t=10
Let me tell you the process so that you get to the answer
Remember first that the area of a regular polygon with x sides has each of them a length which can be represented by y
<span>A = 1/4 * xy^2 * Cot(180/x) </span>
<span>The purpose is to solve for y, so we get </span>
<span>y^2 = 4A/(xCot(180/x)) </span>
<span>y = √(4A/(xCot(180/x)))
The thing we need to change is A in the previous formula and with that we can use the equaation to be a constant. This could be represented by Z
</span><span>Z = √(4/(xCot(180/x)))
so
</span><span>Y = Z√A
</span><span>If we increase area by a factor s, y increases by a factor of √x.
</span>So if you want to know the triple then you need to increase it by <span> √3 </span> <span> </span>
Mika placed $4200 in a savings account which compounds interest continuously at a rate of 2.3%.
How much will she have in the account after 3 years?
1st year 4200 x 1.023 = 4296.60
2nd year 4296.60 x 1.023 = 4395.4218
3rd year 4395.4218 x 1.023 = 4496.5165
Round to the nearest dollar.
$4497
<span>The general equation of a quadratic is expressed as y = ax^2+bx+c. To
convert the general equation to vertex form, we need to obtain this form:
(y- k)= a(x - h)^2
This could be done by using completing the square method.
</span><span>y = –3x^2 – 12x – 2
</span><span>y + 2 = –3(x^2 + 4x)
</span>y + 2 -12 <span>= –3(x^2 + 4x + 4)
</span>y - 10 = -3(x+2)^2
Therefore, the answer is the first option.
