Answer = (A) about 30
1000/200 = 5
5 x 6 = 30
Answer:
t =1.621860432
Step-by-step explanation:
6e^0.25t = 9
Divide each side by 6
6/6e^0.25t = 9/6
e^0.25t = 3/2
Take the ln of each side
ln e^0.25t = ln (3/2)
.25t = ln (3/2)
Divide each side by .25
.25t/.25 = 1/.25 ln (3/2)
t = 4 ln (3/2)
t =1.621860432
Answer:
x ≤ 2
Step-by-step explanation:
-6x - 7 ≥ -19
Add 7 to both sides: -6x ≥ -12
Divide both sides by 6: -x ≥ -2
Divide both sides by -1: x ≤ 2
When you divide by a negative, you have to switch the sign around (hence why I chose to do this in separate steps, so it's clearer)
Answer:
0, for q ≠ 0 and q ≠ 1
Step-by-step explanation:
Assuming q ≠ 0, you want to find the value of x such that ...
q^x = 1
This is solved using logarithms.
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x·log(q) = log(1) = 0
The zero product rule tells us this will have two solutions:
x = 0
log(q) = 0 ⇒ q = 1
If q is not 0 or 1, then its value is 1 when raised to the 0 power. If q is 1, then its value will be 1 when raised to <em>any</em> power.
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<em>Additional comment</em>
The applicable rule of logarithms is ...
log(a^b) = b·log(a)
