A loan of £5200 gains interest of £2340 in 5 years.
Find the simple interest rate.
= ? % p. a.

We have the formula to get the amount of money after 5 years:

A = Principal x (1 + rate)^year

or

5200 + 2340 = 5200 x (1 + rate)^5

=> (1 + rate)^5 = (5200 + 2340)/5200 = 1.45

=> 1 + rate = 1.077

=> rate = 1.077 - 1 = 0.077 = 7.7%

Hope this helps!

:)

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )