Answer:
$1689
Step-by-step explanation:
Excess of rent amount over annual property tax bill = annual rent - annual property tax
annual property tax = [(assessed property value / 100) x 1.69]
( $390,000 / 100) x 1.69 = $6591
Annual rent = $690 x 12 = $8280
$8280 - $6591 = $1689
Answer:
The probability of the first draw is 100%, because the bead will be either red or white. For the second draw, a different color must be drawn.
So, if draw 1 is white, then the probability of draw 2 being red is 7/10. and if the first draw is red, then the probability of draw two being white is 5/10.
Answer:
Step-by-step explanation:
Let number of large pizzas be l and number of small be s.
<u>Then we have equations:</u>
- l + s = 100
- 16l + 11s = 1550
<u>From the first equation, we get l = 100 - s and substitute in the second equation:</u>
- 16(100 - s) + 11s = 1550
- 1600 - 16s + 11s = 1550
- 5s = 1600 - 1550
- 5s = 50
- s = 10
Number of small pizzas is 10
Answer:
15 km
Step-by-step explanation:
3 cm on the map = 5 km
3 x 3 = 9 cm
5 x 3 = 15 km
So, 9 cm on the map = 15 km
(a) If the particle's position (measured with some unit) at time <em>t</em> is given by <em>s(t)</em>, where
then the velocity at time <em>t</em>, <em>v(t)</em>, is given by the derivative of <em>s(t)</em>,
(b) The velocity after 3 seconds is
(c) The particle is at rest when its velocity is zero:
(d) The particle is moving in the positive direction when its position is increasing, or equivalently when its velocity is positive:
In interval notation, this happens for <em>t</em> in the interval (0, √11) or approximately (0, 3.317) s.
(e) The total distance traveled is given by the definite integral,
By definition of absolute value, we have
In part (d), we've shown that <em>v(t)</em> > 0 when -√11 < <em>t</em> < √11, so we split up the integral at <em>t</em> = √11 as
and by the fundamental theorem of calculus, since we know <em>v(t)</em> is the derivative of <em>s(t)</em>, this reduces to