Answer:
The possible values of the number of dollars in the original pile of money is ≥ $200 but < $350
Step-by-step explanation:
Here we have, pile of money ≥ $200
Amount in put the left pocket = $50
Fraction given away = 2/3 of rest of pile ≥ 2/3×150 ≥ $100
Amount put in right pocket = ≥ $150 - $100 ≥ $50
Total amount remaining with Jeri = $50 +≥ $50 ≥ $100
Also original pile - $200 < $100
Therefore where maximum amount given away to have more money = $200 we have
2/3× (original pile - 50) = $200
Maximum amount for original pile = $350
Therefore the possible values of the number of dollars in the original pile of money is ≥ $200 but < $350.
Answer:
see explanation
Step-by-step explanation:
To determine which ordered pairs are solutions to the equation
Substitute the x and y values into the left side of the equation and if equal to the right side then they are a solution.
(- 1, - 6)
3(- 1) - 4(- 6) = - 3 + 24 = 21 = right side ← thus a solution
(- 3, 3)
3(- 3) - 4(3) = - 9 - 12 = - 21 ≠ 21 ← not a solution
(11, 3)
3(11) - 4(3) = 33 - 12 = 21 = right side ← thus a solution
(7, 0)
3(7) - 4(0) = 21 - 0 = 21 = right side ← thus a solution
The ordered pairs (- 1, - 6), (11, 3), (7, 0) are solutions to the equation
Total money that will be in the account in 10 years = 45000
Time period = 10 years
Rate of interest = 5% or 0.05
n = 12 (number o times the money is compounded)
Let the principal (p) be = x
Formula for compound interest = 
Putting the values in the formula we get,
Hence, the principle amount should be approximately $27881.
Answer:
<u>The percentage loss per gallon is 23.17%</u>
Step-by-step explanation:
Original price per gallon = $ 2.59
Discounted price per gallon = $ 1.99
Now, let's calculate the percentage loss per gallon, using the Direct Rule of Three, as follows:
Price Percentage
2.59 100
1.99 x
*****************************
2.59 * x = 1.99 * 100
2.59x = 199
x = 199/2.59
x = 76.83
Percentage loss = 100 - 76.83
<u>Percentage loss = 23.17%</u>
Answer:
48.60 miles per hour (MPH)
Step-by-step explanation:
:)
