geno3141

The compound interest formula is:  A  = P(1 + r/n)^(n·t)

where:     A  =  final amount              P  =  beginning amount  =  1500       r  =  rate (as a decimal)  =  0.03

                n  =  number of times compounded per year  =  365                 t  =  number of years  =  1

A  =  1500(1 + 0.03/365)^(365·1)  =  $1545.68

Let us say that you started with  x  points.

You double your score; now you have  2x  points.

You now lose 75 points, so you now have  2x - 75 points.

At this point, you now have  -25 points.

This gives you the equation:  2x - 75  =  -25

Can you solve it from here?

I don't know for sure, but my guess is that it uses a Taylor/Maclaurin series.

log(star) - log(hippo)

If hippo weights x, star weighs 1023x

log(1023x) - log(x)

=  log(1023x) - log(1x)

To find the log of a product, add the logs of the factors:

=  log(1023) + log(x) - [log(1) + log(x)]

=  log(1023) + log(x) - log(1) - log(x)

Since log(1) = 0

= log(1023)

From point A straight down to point X and then across to point B creates a right triangle with X the right angle.

To find XB, use tan:  tan(13°)  =  XB / 80     --->   XB  =  80·tan(13°).

To find XC, use tan:  tan(24°)  =  XC / 80     --->   XC  =  80·tan(24°).

To find the distance between the two boats, find  XC = XB.

The length of the arc can be calculated by this proportion:  arc / circumference  =  degrees in arc / 360°

To find the total perimeter, take that value for arc and add two radii.

One cubic meter is calculated by multiplying:  1 meter x 1 meter x 1 meter     (length x width x height)

1 meter x 1 meter x 1 meter  =  10² cm x 10² cm x 10² cm  =  10^6 cm³

If the ratio is  1:6  then there will be a total of 7 created.    

(1 litre concentrate + 6 litres water  =  7 litres orange juice)

To get 70 litres of orange juice, you will need 10 litres concentrate and 60 litres water.

If you start with 5 litres of concentrate, and you need 6 litres of water for each litre of concentrate, you will need 6 x 5  =  30  litres of water, for a total of 35 litres of orange juice (concentrate plus water).

1)  You are choosing 5 members from a group of 9 males and 0 members from a group of 11 females:

           9nCr5 · 11nCr0  =

2) You are choosing 0 members from a group of 9 males and 5 members from a group of 11 females:

           9nCr0 · 11nCr5  =

3) You are choosing 3 members from a group of 9 males and 2 members from a group of 11 females:

           9nCr3 · 11nCr2  =

 checked them all; they are all correct!