At the beginning of March, a store bought a rake at a cost of 9$ and marked it up 130%. At the end of the month, the rake had not sold, so the store marked it down 50%. What is the discounted price?

the new discounted price is $5.85

Step-by-step explanation:

First convert 130% into a decimal: 130 ÷ 100 = 1.3

Next multiply 1.3 by 9: 9 x 1.3 = 11.7

Then convert 50% into a decimal: 50 ÷ 100 = 0.5

Last multiply 11.7 by 0.5: 11.7 x 0.5 = 5.85

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.