Let x equal the number of adult tickets sold.
X + 3X=512
(I put 3x because we know the students sold 3 times as many).
Solve for X.
X+3X=512
4X=512
4X/4=512/4
X=128
V = 30*16*12. To find the volume of a rectangular prism, you just multiply the area of the base (side 1 * side 2) by the height of the prism.
Answer:
Kindly check explanation
Step-by-step explanation:
Using the compound interest formula :
A = P(1 + r/n)^nt
A = final amount ; r = rate ; n = number of compounding times per period ; t = period ; P = principal
P = 2500 ; r = 4% = 0.04 ; t = 5 years
Daily compounding, n = 365
Yearly compounding, n = 1
Quarterly compounding, n = 4
Daily compounding :
A = 2500(1 + 0.04/365)^(5*365)
A = 2500(1.0001095)^1825
A = $3053.4734
Yearly :
A = 2500(1 + 0.04/1)^(5*1)
A = 2500(1.04)^5
A = $3041.6323
Quarterly:
A = 2500(1 + 0.04/4)^(5*4)
A = 2500(1.01)^20
A = $3050.4751
Answer:
(0, - 3) and (4, 5)
Step-by-step explanation:
Given the 2 equations
y = x² - 2x - 3 → (1)
y = 2x - 3 → (2)
Substitute y = x² - 2x - 3 into (2)
x² - 2x - 3 = 2x - 3 ← subtract 2x - 3 from both sides
x² - 4x = 0 ← in standard form
x(x - 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x = 0
x - 4 = 0 ⇒ x = 4
Substitute these values into (2) for corresponding values of y
x = 0 → y = 2(0) - 3 = 0 - 3 = - 3 ⇒ (0, - 3 )
x = 4 → y = 2(4) - 3 = 8 - 3 = 5 ⇒ (4, 5 )