A retired woman has $60,000 to invest but needs to make $7,000 a year from the interest to meet certain living expenses. She invests a portion of her money in a bond paying 9% annual interest. The rest of her money she wants to put in a certificate of deposit (CD) that pays 13% per year. If we let x be the amount the woman invests in the 9% bond, how much will she be able to invest in the CD?

11

step-by-step explanation:

32.50-7.50=25

225/25=11

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.