An equation was used to predict the number of possible enrollments in an afterschool program for the first 6 months of the year. the actual enrollments are also listed. actual enrollment 55 80 95 100 115 90 predicted enrollment 75 80 85 90 95 100 the sum of the residuals is numerical answers expected!

The sum of the residuals is 10.

Step-by-step explanation:

Since,

Residual value = Actual result - Predicted result,

Here,

Actual enrollments are 55, 80, 95, 100, 115 and 90,

While, predicted enrollments are 75, 80, 85, 90 and 95,

Hence, the sum of the residuals = the sum of actual enrollments - the sum of predicted enrollments

= (55+80+95+100+115+90) - (75+80+85+90+95+100)

= 535 - 525

= 10

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.

30 feet

step-by-step explanation:

that would be 2 1/2 * 12

= 24 + 6

= 30 feet   (answer)