Ahouse was haunted by a combined total of 51 guosts, goblins, and ghouls. on friday, there were half as many ghosts as there were goblins. on saturday, two-thirds of the ghouls each became a ghost. on sunday, 11 of the ghosts each became a goblin, and the ratio of ghouls to goblins became 1 : 3. if no other changes occurred, how many ghosts are there?

 There are 15 ghosts in a haunted house.

Explanation:

Since we have given that

Total number of ghosts, goblins and ghouls = 51

On Friday,

Let the number of goblins be x

Let the number of ghosts be

Let the number of ghouls be

On Saturday,

Two-thirds of the ghouls each became a ghost,

So, it becomes

Now, number of ghost becomes

and number of ghouls becomes

On Sunday,

Number of ghosts each became a goblin = 11

So, Number of goblins becomes

Now, according to question , we have a ratio of ghouls to goblins i.e. 1:3

So, it becomes,

So, number of ghosts is given by

So, there are 15 ghosts in a haunted house.

step-by-step explanation:

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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.