The cash price of a gas stove was x ringgit. roy bought the stove by making a rm100 down payment and the balance was settled by making 24 monthly payments of rm55 each. if the interest rate charged was 10% on the original balance, find: a) the cash price of the stove. b) the original unpaid balance.

a) The cash price of the gas stove was 1300 ringgit

b) The original unpaid balance = 1200 ringgit

The original unpaid balance including interest =  1320 ringgit

Step-by-step explanation:

Given:

Cash price of the gas stove = X ringgit

Down payment = RM100

Total monthly payments = 24

Each payment = RM55

Interest rate charged = 10%

now,

After down payment,

Remaining balance = RM(X - 100)

Balance after interest = RM(X - 100) × ( 1 + r)

= RM(X - 100) × ( 1 + 0.1)

= RM(1.1X - 110)

also,

amount paid in total installments

= 24 × RM55

= RM1,320

and,

RM1,320 = RM(1.1X - 110)

or

1.1X = 1,430

or

X = 1300

Hence,

a) The cash price of the gas stove was 1300 ringgit

b) The original unpaid balance = X - 100

= 1300 - 100

= 1200 ringgit

and,

after including interest

The original unpaid balance = 1.1(X - 100)

= 1.1 × (1300 - 100)

= 1320 ringgit

dilation scale factor 2: starting with δabc, draw the dilation image of the triangle with a center at the origin and a scale factor of two. notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). dilation with scale factor 2, multiply by 2.

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4