C) The 2 triangles are similar , then we can write:
5x/45 = 20/36 . Cross multiplication:
5x*36 = 45*20
180x = 900 and x = 900/180 , x = 5 (and 5x = 25)
d) Remember the proportionality theorem (or Thales')
You can write the following proportion:
GH/HJ = KL/LM
8/6 = 10/x . Cross multiplication:
8x = 60 and x = 60/8 , x = 7.5
let's put value of t in equation.
x = 2√t
x = 2√y
x/2 = √y
(x/2)^2 = y
y = x^2 /4
now let's differentiate it with respect to x.
dy/dx = 2x/4 = x/2
differentiating again wrt to x
d^2y/dx^2 = 1/2
The base price of the car is about $22,196 because:
x= major options package
10x + x = 24,416
*the 10x is the price of the car
This then simplifies to
11x = 24,416
use division.
The destination charge is not needed unless you want to check your answer. If you have to then you would do the same thing. The equation would be:
y= destination charge
5y + y = 24,416
Hope this helps.
Year rank population
1790 3 18320
1800 4 24937
1810 4 33787
1820 4 43298
1830 4 61392
1840 5 93383
1850 3 136881
1860 5 177840
1870 7 250526
1880 5 362839
1890 6 448477
1900 5 560892
1910 5 670585
1920 7 748060
1930 9 781188
1940 9 770816
1950 10 801444
1960 13 697197
1970 16 641071
1980 20 562994
1990 20 574283
Answer:
Market price = Rs. 6,000
Step-by-step explanation:
Given:
Cost price = R.s 4,000
Profit after discount = 20%
Discount = 20%
Find:
Market price
Computation:
Sales price = Cost price[1+Profit after discount]
Sales price = 4,000[1+20%]
Sales price = 4,800
Market price = Sales price[100/(100 - Discount)]
Market price = 4,800[100/(100 - 20%)]
Market price = Rs. 6,000
