Answer:
Step-by-step explanation:
Let x represent the amount invested at 3%. Then the total interest earned is ...
0.03x +0.02(25000 -x) = 510
0.01x = 10 . . . . . . . . . . . . subtract 500, collect terms
x = 1000
Mitchell invested $1,000 at 3% and $24,000 at 2%.
The rate of change of the distance from the particle to the origin at this instant is 3 units per second.
<h3>What is the rate of change?</h3>
The instantaneous rate of change is the rate of change at a particular instant.
A particle is moving along the curve

The rate of change of y is given as:
dy / dx = 2
by differentiating both sides,

From the question, we have:
(x, y) = (5,24)
Substitute 5 for x and dy / dx = 2

Hence, the rate of change of the distance from the particle to the origin at this instant is 3 units per second.
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The degree is 2 becasuse of the x^2 and there are 3 terms so it is a trinomial.
The ball will hit the ground at 2 seconds.
Step-by-step explanation:
Given that,
The path of the ball = h(x)=−2x2+1x+6
Here,
x is the time while h is the height of ball.
When the ball will hit the ground, the height will become zero. Therefore,
h(x)=−2x2+1x+6
0 =−2x2+1x+6
or
2x2 -1x - 6 = 0
This is a quadratic equation, hence by applying quadratic equation formula:

here,
a = 2
b = -1
c = -6
Putting these values in formula, we get




x = 2, -3/2
As the time cannot be negative. Therefore, the ball will hit the ground at 2 seconds.
A ton is 2000 lbs. If a polar bear is 1600 lbs then the fractional part of a ton would be...
1600/2000 which will reduce to
16/20 = 4/5