* A Frog sits on a number line at point −10. It is allowed to make up to 4 jumps. First, it can make a jump of 8 units in either direction, or it can skip this jump. Then, it can make a jump 4 units long or skip this jump. Then, it can make a jump 2 units long, or skip this jump. And, finally, it can make a one-unit jump or skip it. Where can it be at the end? The possible numbers where frog could be are from

Answer and explanation:

Assuming the frog jumps from -10 for all jumps, if the frog decides to make all 4 jumps then :

8 units jump= -2 or -18

4 units jump= -6 or -14

2 units jump= -8 or -12

1 unit jump = -9 or -11

If the frog decides to make one jump then skip the others then:

Either it makes 8 units jump= -2 or -18

Or 4 units jump= -6 or -14

Or 2 units jump= -8 or -12

Or 1 unit jump = -9 or -11

If it decides to make 2 jumps and skip the others then:

Either it makes 8 units jump= -2 or -18

and 4 units jump= -6 or -14

Or 2 units jump= -8 or -12

and 1 unit jump = -9 or -11

Or any other mix of units of jump twice

If it decides to make 3 jumps and skip the others then:

Either it makes 8 units jump= -2 or -18

and 4 units jump= -6 or -14

and 2 units jump= -8 or -12

Or 1 unit jump = -9 or -11

and 4 units jump= -6 or -14

and 2 units jump= -8 or -12

Or any other mix of 3 jumps

If it decides to make no jump at all then the frog would remain at -10

The answer is in the image 

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

The answer is in the image 

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

The answer is in the image 

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.