. Shawn gets an allowance of $18 each week and his sister Natasha gets an allowance of $9 each week. Shawn saves 1/2 of his allowance, and Natasha saves 2/3 of her allowance. Suppose Shawn started with $0 savings, and Natasha started with $30. How many weeks will it take until they have the same amount in savings?

Shawn and Natasha have same amount in savings after weeks.

Step-by-step explanation:

Shawn gets an allowance of $18 each week.

Amount saved by Shawn =

Natasha gets an allowance of $9 each week.

Amount saved by Natasha =

Suppose that Shawn and Natasha have same amount in savings after weeks.

Also, Shawn started with $0 savings, and Natasha started with $30.

So,

Therefore,

Shawn and Natasha have same amount in savings after weeks.

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

part a: 1.08

part b: 27.59