To go to a beach party 600 yd away, you kayak against the ocean current for 2 h. The trip back takes 1 h. Write and solve a system of equations to find your paddling speed, x, in still water. Find the speed of the ocean current, y.

the paddling speed is 450 yards per hour.

The speed of the ocean current is 150 yards per hour.

Step-by-step explanation:

Let x represent the paddling speed.

Let y represent the speed of the ocean current.

To go to a beach party 600 yd away, you kayak against the ocean current for 2 h. This means that the total speed at which you kayaked is (x - y) yards per hour.

Distance = speed × time.

Distance travelled while going to the party is expressed as

600 = 2(x - y)

Dividing through by 2, it becomes

300 = x - y - - - - - - - - - - -1

The trip back takes 1 h. Assuming you traveled with the ocean current. The total speed at which you returned is (x + y) yards per hour. Distance travelled while going to the party is expressed as

600 = 1(x + y)

600 = x + y - - - - - - - - - -2

Adding equation 1 to equation 2, it becomes

900 = 2x

x = 900/2

x = 450 yards per hour

Substituting x = 450 into equation 2, it becomes

600 = 450 + y

y = 600 - 450

y = 150 yards per hour

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.

lol we need to see what the question is asking about

step-by-step explanation: