Plz, help me with this problem.
Answers
Answer:
p = 1.083417
Step-by-step explanation:
If $9,905.54 is how much she made after 3 2/3 or 8/3 years then using the equation given $9,905.54 = 8000*p^8/3. To start getting p by itself, divide both sides by 8,000. The resulting equality is 1.2381925 = p^8/3. To find p, raise both sides by the reciprocal of 8/3. To do this, write the equation as 1.2381925^3/8 = (p^8/3)^3/8. The exponents on the side of p cancel out, and after simplifying the left side, 1.083417 = p. You can check that this is correct by plugging 1.083417 into p.
9,905.54 = 8000*(1.083417)^8/3
9,905.54 = 8000*1.23819
9,905.54 = 9,905.54 (approximately)
Just in case you have trouble with the exponents on the calculator, you're probably going to have to find the exact number form for the fractions. For example, I had to put in the exponent as 2.6667 instead of 8/3 since the calculator ends up raising the equation by 8 and dividing the result by three instead. You should still find out what the fraction is though so you can easily figure out what the reciprocal is. Hope this helps