Greetings!
"<span>A machine produces 75 widgets an hour. How many widgets does it produce in 6 minutes?"...
An hour/60 minutes is ten times more than 6.
Therefore, we divide the amount per hour by ten:
75/10
=7.5
The machine produced 7.5 widgets /7 full widgets every six minutes.
Hope this helps.
-Benjamin
</span>
Answer:
just Move the 6
7p−3r−5s+6
Step-by-step explanation:
Answer:
n = 290
Step-by-step explanation:
Cq = P[(1 + r) ^ (4n) – 1]
- Cq is the quarterly compounded interest (Triple $1000 = <u>$3000</u>)
- P would be the principal amount <u>($1000)</u>
- r is the quarterly compounded rate of interest <u>(0.12%)</u>
- n is the number of periods <u>(Unknown)</u>
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Let's solve!
Cq = P[(1 + r) ^ (4n) – 1]
$3000 = $1000 * [(1 + 0.12%) ^ (4 * n) - 1]
3 = [(1 + 0.12%) ^ (4 * n) - 1]
3 = (1 + 0.12%) ^ (4 * n) - 1
4 = (1 + 0.12%) ^ (4 * n)
4 = (1 + 0.0012) ^ (4 * n)
4 = (1.0012) ^ (4 * n)
4 = (1.0012) ^ (4n)
Take a log to get rid of the n in the exponent
(1.0012) ^ (4n) = 4
log[(1.0012) ^ (4n)] = log(4)
4n * log(1.0012) = log(4)
4n = log(4) / log(1.0012)
4n = 0.60206 / 0.0005208
4n = 1156.02919
n ≈ 289.007297
Since the question asks how long it will take, you will round up, as it won't be fully tripled by 289, only by 290.
Answer:
y = (7/4)(x -4) +12
Step-by-step explanation:
The rate of growth is ...
(19 in -12 in)/(8 wk -4 wk) = 7/4 in/wk
Using this slope in a point-slope form of the equation for a line, we get ...
y = m(x -h) +k . . . . . line with slope m through point (h, k)
y = (7/4)(x -4) +12 . . . . . line with slope 7/4 through the point (4 wk, 12 in)
Answer:
1: Slope intercept form is y=mx+b, where m is slope and b is the y-intercept. We can use this form of a linear equation to draw the graph of that equation on the x-y coordinate plane.
2: We have 4 ways of solving one-step equations: Adding, Substracting, multiplication and division. If we add the same number to both sides of an equation, both sides will remain equal. If we subtract the same number from both sides of an equation, both sides will remain equal.
A: For example: If you pay 30 dollars a month for your cell phone and 10 cents per minute of usage the monthly cost of using your cell phone would be a linear equation of a function, C, the monthly cost based on the number of minutes you use monthly.
