Adiba owns an ice cream parlor. When scooping ice cream, she creates spheres that have a radius of 3 cm. She is looking into buying a new ice cream cone machine that creates cones with a radius of 3 cm and a heigh of 10 cm. She wants to make sure that when the scoop melts, it doesn't overflow the cone. Should she purchase this new cone machine? Explain your work using words, symbols, or mathematics. Make sure you list 1. the volume of the sphere 2. the volume of the cone 3. explanation

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.

it’s the first one your welcome

  answer:

  write 548 as 500 + 40 + 8. multiply each addend by 5. then add the three products to get 2,740.