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Of course I do he is the man with the muffins.

Happy -- that's a really neat way to do it!

Can you explain what you did and why it works so the process can be applied to other problems?

no no no no no no

1000 =  500e^(.05x)

Divide both sides by 500:  2  =  e^(.05x)

Take the ln of both sides:  ln(2)  =  ln( e^(.05x) )

Since the ln( e^z )  =  z:  ln(2)  =  .05x

Divide both sides by .05:  x  =  ln(2) / .05

Use a calculator to get a decimal approximation.

15^2

To find the number of pounds, divide the total number of ounces by 16:

38 / 16  =  2 .375 pounds or 2 pounds 6 ounces.

To write 2 pounds 6 ounces as a mixed number, it becomes 2 and 6/16 pounds which is 2 3/8 pounds.

The actual interest rate depends upon the number of times that the investment is compounded per year.

Assuming that it is compounded once per year, using the compound interest formula:

       A  =  P(1 + r)^t

with A = 2 (representing twice the initial value),     P = 1 (representing the initial value),     and t = 15:

      2  =  1(1 + r)^15

--->   2  =  (1 + r)^15

Taking the 15th root of both sides:

--->  2^(1/15)  =  1 + r

--->  1.04729  =  1 + r

--->  0.04729  =  r

If you have a problem in which the compounding is more than once per year, or is compounded continuously, repost...

a)  We could have any of 10 digits in any of the nine positions......so, the total number of different identifiers  = 10⁹ = one billion

b) I don't understand this one.......could you be a little clearer ???

whhhaaaat??? 😳😶😐👀

So one is 48 cm and the other is 36 cm

For part a:

There are 9 positions in the identifying number and each position can hold any one of ten digits, so there are 

   10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10    or     10^9   =   1,000,000, 000 possibilities.

For part b:

I have no idea what the 120 stamps refer to; perhaps someone else can answer that ...

I know a quick way to do this

12/2=6

84/2=42

42+6=48

42-6=36

36+48=84

48-36=12

V = I · R

If the resistances are in series add them:  R  = R1 + R2

However, if the resistances are in parallel, add their reciprocals:  R  =  1/R1 + 1/R2

So, either:  4.6  =  0.62(2.1 + R2)  

--->         7.419 =  2.1 + R2

--->             5.3  =  R2

or         4.6  =  0.62(1/2.1 + 1/R2)

--->   7.419 =  1/2.1 + 1/R2

--->   6.943  =  1/R2

--->   6.943R2  =  1

--->   R2  =  0.144

N = s * t

To find the total number of toothpicks needed, multiply the number of toothpicks given to each student times the number of students:

N  =  t · s

Celsius and Fahrenheit are both measured in degrees.

If you want to change from Fahrenheit to Celsius, use the formula:  C  =  (5/9)(F - 32).

If you wnat to change from Celsius to Fahrenheit, use the formula:  F  =  (9/5)C + 32.

I have difficulty understanding the question.

If your question is: If there is $60 tax on $200, how much tax would be on $8?

then, assuming the same tax rate, set up a proportion:  60/200 = x/8

                                                     cross-multiply:                480  =  200x

                                                      divide by 200:                $2.4  =  x

If your question is: If there is $60 tax on $200, what would have a tax of $8?

then, assuming the same tax rate, set up a proportion:  60/200 = 8/x

                                                     cross-multiply:              1600  =  60x

                                                      divide by 200:           $26.67  =  x

i tried to give it a bath and it ran away

How did the 4 year old get ahold of the computer?

Speak softly and don't scare it with a sharp knife.

Multiply them together to get the answer.

Anonymous has the correct answer.

To emphasize why his/her answer is correct:

To factor this:

Since the last term is negative, it must factor into one positive term and one negative term and the middle term is found by subracting the those two terms.

Since the middle term is positive, the positive term must be larger than the negative term.

So, the question becomes, what two numbers, when multiplied together give you 18, and when you subtract one from the other, give you 7?

These are 9 and 2, and since the middle term is positive, the 9 must be positive and the 2 must be negative, so the factors are:  (x + 9)(x - 2).

(x+9)(x-2)

you're an idiot

LOL nice geno.