Answer:
D. x = log8 24
Step-by-step explanation:
we have this function
8^x = 24
Now we have to understand how the logarithm works.
we use the logarithm to know how much we have to raise a number to reach a result that we already know.
these two equations represent the same
a ^ b = c
log a c = b
8^x = 24
8 = a
x = b
c = 24
log a c = b
log 8 24 = x
option d.
The answer is 177/8 or one hundred seventy seven over eigth.
1/8(8x + 15) = 24
Multiply both sides by 8:
8* 1/8(8x + 15) = 8 * 24
8x + 15 = 192
Subtract 15 from both sides:
8x +15 - 15 = 192 - 15
8x = 177
Divide both sides by 8:
8x/8 = 177/8
x = 177/8
Answer:
Investment A = 3650
Investment B = 1350
Step-by-step explanation:
Given that:
Total interest earned = 332.50
Total Principal invested = 5000
Investment A:
Rate = 8%
Time = 1 year
Principal = a
Interest earned = 0.08a
Investment B:
Rate = 3%
Time = 1 year
Principal = b
Interest earned = 0.03b
a + b = 5000 ____(1)
0.08a + 0.03b = 332.50 - - - (2)
From (1)
a = 5000 - b
Into (2)
0.08(5000 - b) + 0.03b = 332.50
400 - 0.08b + 0.03b = 332.50
400 - 0.05b = 332.50
-0.05b = - 67.5
b = $1350
a = 5000 - b
a = 5000 - 1350
a = $3650
The correct option is: (E) It is plausible that the percent of all people living in the region who regularly use sunscreen is 18.5%.
<u>Step-by-step explanation:</u>
The margin of error is a statistic expressing the amount of random sampling error that occurred due to miscalculation and survey results. The margin error is usually a small amount of error.
Generally 5% of margin of error is common and acceptable. When the percentage of the margin of error increases, the confidence in the report result will be reduced.
The recent survey reveals that 19% of the people living in a certain region regularly use sunscreen when going outdoors. The permissible margin of error in this survey is 1%.
Probably the percentage of people using sunscreen in the particular region will be <u>18.5%.
</u>
16x + 9 = 9y-2x Add 2x to both sides
18x + 9 = 9y Divide both sides by 9
2x + 1 = y Switch the sides to make it easier to read
y = 2x + 1
