Formulate but do not solve the problem. Mr. and Mrs. Garcia have a total of $125,000 to be invested in stocks, bonds, and a money market account. The stocks have a rate of return of 12%/year, while the bonds and the money market account pay 7%/year and 3%/year, respectively. The Garcias have stipulated that the amount invested in the money market account should be equal to the sum of 15% of the amount invested in stocks and 20% of the amount invested in bonds. How should the Garcias allocate their resources if they require an annual income of $11,000 from their investments? (Let x, y, and z denote the amount, in dollars, in stocks, bonds, and money markets, respectively.)

=125,000

=11,000

= z

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40

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.