SilverAg

4 = x

Explaination: Well first you do some really complicated stuff like addition and then you get 4 = x.

So your equation looks like \(4 = \frac{2}{3}(p-2)\). What you want to do first is get rid of the fraction cause no one likes fractions. You would do this by multiplying the reciprical which is \(\frac{3}{2}\) (just flip the \(\frac{2}{3}\)). The equation would now look like \(4 * \frac{3}{2} = (p-2)\) Simplify it down to \(6 = (p-2)\). Then add the two to both sides and you would get \(8 = p\). Hope this helped!

Interest: $65,222,812.38; Total Interest is $44,222,812.38

Explaination:

Compund interest formula is \(P(1+(\frac{r}{n}))^{(nt)}\) where P is the principle amount in this case 21$ mil. N is the rate per year (I assuming annually).  R is the decimal rate (.12). T is the time in years (10yrs). And once you plug that in it should look like \(21000000(1.12)^{(12)}\) (I simplified some stuff). Then for the total interest just subtract the Interest from the principle amount.

She could win about 16 out of her 25 matches.

Explaination: 21 out of 33 matches is about a 63.63% (21/33) ratio. Multiply that to 25 and you get approx 15.909 rounding up to 16 matches.

The answer would be 40,000 bacteria at 70 hours.

Explaination: You have 10,000 bacteria when you start out. When you reach 35hrs it will double and become 20,000 bacteria. Then conviently another 35 hours is a total of 70 hours and you will have a total of 40,000 (20,000 * 2) bacteria.