Response:
Detailed explanation:
To determine the upper level value, you must resolve the equation "x + (2x + 40) + (3x – 50) = 15,002," yielding an answer of 2,502. To discover the values for the lower and middle floors, you need to apply the variable to different equations. The lower level has 50 fewer than three times the number of seats equal to x. To find the count of seats at the lower level, multiply 2,502 by 3 (7,506) and then subtract 50 (7,506 - 50 = 7456). The middle level consists of 40 more than twice the upper level's seats. To get the middle level's count, multiply 2,506 by 2 (5004), then add 40 ( 5004 + 40 = 5044).
Detailed derivation:
dA/dt = 6 - 0.02A
dA/dt = -0.02 (A - 300)
Rearranging terms.
dA / (A - 300) = -0.02 dt
Integrate both sides.
ln(A - 300) = -0.02t + C
Isolate A.
A - 300 = Ce^(-0.02t)
A = 300 + Ce^(-0.02t)
Apply initial condition to determine C.
50 = 300 + Ce^(-0.02 × 10)
50 = 300 + Ce^(-0.2)
-250 = Ce^(-0.2)
C = -250e^(0.2)
A = 300 - 250e^(0.2)e^(-0.02t)
A = 300 - 250e^(0.2 - 0.02t)
Answer:
Step-by-step explanation:
Annual gross salary = $28000
Income tax = 20% applicable to earnings exceeding $15000
Thus, she has a taxable amount of $5000
Rent loan equals $140 monthly = $140 * 12= $1680 per year
Tax deductible annually would be 20% of $5000
20 / 100 * $5000 = $1000
Her total net income annually is equal to
Gross salary per annum - tax - loan =
($28000 - $1000 - $1680) = $25,320
Ayesha's take-home pay annually is $25,320.
The equation given is –2x – 4 + 5x = 8, and the task is to find the value of x. To start, combine like terms and reorganize the equation:
-2x + 5x = 8 + 4
Next, simplify both sides:
3x = 12
Divide both sides by 3 to isolate x:
x = 4.
Therefore, the solution for x is 4.
Answer:
1/5
Step-by-step explanation:
Amir and Tamara each consumed 2/5 of the candy bar.
The total consumed is 2/5 + 2/5 = 4/5.
Since 4/5 of the candy bar has been eaten, 1/5 remains.
This is because 5/5 minus 4/5 equals 1/5.
(Note that 5/5 represents a whole candy bar).
