Answer:
Step-by-step explanation:
Solve this by using natural logs. Taking the natural log of both sides:
To undo the multiplication, we use addition:
The rule says we can now bring the exponent down in front of the ln:
Now we will subtract ln(7) from both sides:
(8x - 8)ln(16) = ln(3) - ln(7)
Now we will divide both sides by ln(16):
then add 8 to both sides:
which simplifies to
8x = 7.694401895 so
x = .9618002368 or, rounded,
x = .96
(Rest assured I did the math and checked the answer and it checked out perfectly!) I recommend you learn the laws of natural and common logs cuz they're kinda important!! :)
2x=8
(Divide 2 from both sides)
x=4
Answer:
51
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Define
z² + 3z - 3
z = 6
Step 2: Substitute and Evaluate
6² + 3(6) - 3
36 + 18 - 3
36 + 15
51
Answer: 90 visitors per hour
Explanation: "Per hour" means in 1 hour, so we can rewrite the given statement using fractions as <em>450 visitors/5 hours = __visitors/1 hour</em>.
To find out what goes in the bank, notice that we
have a 1 in the denominator of our second fraction.
So we want to find a fraction that is equivalent
to 450/5 that has a 1 in the denominator.
If we divide the numerator and denominator of 450/5 by 5,
we get the equivalent fraction 90/1 or <em>90 visitors/1 hour</em>.
So now we have <em>90 visitors/1 hour = __visitors/1 hour</em>.
So a 90 must go in the blank.
This means that the museum sees 90 visitors per hour.
Answer:
781.25
Step-by-step explanation:
Regular pay = 40*12.50 = 500.00
Overtime = 15*12.5*1.5 = 281.25
Gross pay = 500.00 + 281.25 = 781.25
