Answer:
3h - 30 > 0
h > 10
Step-by-step explanation:
To make a profit, subtract $36 in cost from the income coming in.
She charges $6 and then $3 per hour or 3h. Her income coming in is 6 + 3h.
Subtract 36 from it to find the profit.
3h + 6 - 36
3h - 30
To make a profit, she needs to make more than $0 or > 0.
3h - 30 > 0
Solve using inverse operations.
3h - 30 > 0
3h > 30
h > 10
Answer:
See below.
Step-by-step explanation:
The rocket's flight is controlled by its initial velocity and the acceleration due to gravity.
The equation of motion is h(t) = ut + 1.2 g t^2 where u = initial velocity, g = acceleration due to gravity ( = - 32 ft s^-2) and t = the time.
(a) h(t) = 64t - 1/2*32 t^2
h(t) = 64t - 16t^2.
(b) The graph will be a parabola which opens downwards with a maximum at the point (2, 64) and x-intercepts at (0, 0) and (4, 0).
The y-axis is the height of the rocket and the x-axis gives the time.
Maximum height = 64 feet, Time to maximum height = 2 seconds, and time in the air = 4 seconds.
Answer:
336
Step-by-step explanation:
Answer: $5,678.85
Step-by-step explanation:
First find out how much the fund was worth after 5 years.
Compound interest formula:
= Investment * (1 + rate) ^ years
= 4,000 * ( 1 + 11%)⁵
= £6,740.23
Half was removed:
= 6,740.23/2
= £3,370.12
Then compound this for the remaining 5 years:
= 3,370.12 * (1 + 11%)⁵
= $5,678.85
<span>b/a=c/d
Two lines are parallel to each other if they have the same slope. So let's look at the options and see which one matches that statement.
b/aâ‹…c/d=â’1
* This is checking to see if the two lines are perpendicular to each other. Almost the exact opposite of parallel. So this is the wrong answer.
b/a=c/d
* b/a is a legitimate slope. c/d is also a good slope. And they're being checked to see if they're equal to each other. So this is the correct answer. But let's see if the next two options will give us a chuckle or two.
b/a=d/c
* b/a is OK. d/c almost looks ok, check the figure. And d/c is NOT a slope. The slope is delta Y over delta X. And d/c is delta X over delta Y. The inverse of the slope. So comparing those two values is meaningless. So it's a wrong answer.
b/aâ‹…d/c=â’1
* And they're trying the inverse of the slope trick again. WRONG. And they're checking if it's perpendicular. Also wrong. So definitely not a good choice.</span>
