Christina has $103 earned from babysitting saved at home, and the amount is modeled by the function h(x) = 103. she reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.03)x − 1. after combining the two functions, the new function is g(x) = 103(1.03)x − 1. using complete sentences, explain what this new function means.

The function means that the 103 dollars will have an increase of 3% in value per year, and s(x) is the value of the money after a certain number of years, assuming x represents years, which is a traditional thing involving increase rates with money at the bank.

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.