Answer:
To round off a number to 2 decimal places, look at the digit in the thousandths place. If the digit in the thousandths place is greater or equal to 5, the hundredths digit is increased by one unit.
Step-by-step explanation:
Answer:
x = (-15)
y = 6
z = 3
Step-by-step explanation:
x + y + z = -6______(1)
2x - y - 5z = -21____(2)
-x - y -6z = -9______(3)
(1) + (2)
z = 3, (1) + (2)
x = (-15), (1)
$84
$160 * 0.30 = $48
$160 - $48 = $112
$112. * 0.25 = $28
$112 - $28 = $84
Use what you know.
Guitar cost =$160 w/ 30% off
30% = 30/100 = 0.30.
30% off means 30% of the price $160 will be taken off so that is why I multiplied 160 by 0.30 (30/100).
30% of 160 is 48 so I subtracted 48 from 160 which equals $112.
With an extra 25% off I repeated the same steps above.
25/100 = 0.25
$112 * 0.25= $28
$112 - $28 = $84
If you need me to break it down more just let me know. I HOPE THIS HELPS
Answer:
The initial mass of the sample was 16 mg.
The mass after 5 weeks will be about 0.0372 mg.
Step-by-step explanation:
We can write an exponential function to model the situation.
Let the initial amount be A. The standard exponential function is given by:
Where r is the rate of growth/decay.
Since the half-life of Palladium-100 is four days, r = 1/2. We will also substitute t/4 for t to to represent one cycle every four days. Therefore:
After 12 days, a sample of Palladium-100 has been reduced to a mass of two milligrams.
Therefore, when x = 12, P(x) = 2. By substitution:
Solve for A. Simplify:
Simplify:
Thus, the initial mass of the sample was:
5 weeks is equivalent to 35 days. Therefore, we can find P(35):
About 0.0372 mg will be left of the original 16 mg sample after 5 weeks.