5-3^x = -40
subtract 5 from each side to get
-3^x=-45
divide both sides by -1 to make them positive
3^x = 45
need to do the natural logarithm on both sides to remove the variable from the exponent
so ln(3^x) = ln(45)
use logarithm rule to move x out
x ln (3) = ln(45)
dive each term by ln(3) then simplify to get
ln(3)/ln(45)
so x = ln(3)/ln(45) which calculates out to 3.46497352
round off to ten thousandths is 3.4650
Hi,
75/150 is 1/2 which turns into 0.5 as a decimal.
Answer: C
Step-by-step explanation:
You would need to divide the 5z and 3 by 4. Putting 5z and 3 as the numerator in a fraction with 4 as the denominator is the same because you’re dividing both values by 4. I think I may have explained it badly, so if someone has a better explanation, can you add that in the comments or in an answer?
Whatever% of anything, is just (whatever/100) * anything.
there were a total of 560000 votes, now, off those some are valid and some are invalid.
we know 15% of that are invalid, that simply means that 85% are valid, since 85% + 15% is the whole thing, or 100%, if 15% are not good, the other 85% are the good ones.
how many are the valid ones anyway? well, 85% of 560000, which is just (85/100) * 560000.
we know that off those valid ones, the candidate got 75% of those, so how much is 75% of that?
well, (75/100) * [ (85/100) * 560000 ].
Answer:
2.25%
Step-by-step explanation:
I = Prt
Given:
I = 540
P = 8000
t = 3
Solve for r:
I = Prt
r = I/(Pt)
r = 540/(8000 * 3)
r = 540/24000
r = 0.0225
Rate in percentage form:
0.0225 * 100 = 2.25%
