4 and a half to fill
30 in total minus the ones already used 30 - 18 = 12
A forth of the pages she wants to save which is about 7.5 of the total
12 - 7.5
Means she only has 4.5 pages left to use before she starts using her extra vacation pages
(x)(x)= x^2
(-8)(x)= -8x
(x)(1)= 1x
So, (-8)(1)=8
The exponential function is
f(x)=ab^x, where b is the base, the number to multiply every time x is increased by 1.
If f(x)=92, f(x+4)=280, then
f(x+4)/f(x) = 280/92 = ab^(x+4)/(ab^x) = b^4
to find the base b,
b^4=(280/92)
b=(280/92)^(1/4) ..... fourth root, or take square-root twice
=3.4035^(1/4)
=1.3208 (accurate to 4 places of decimal).
Edit: 92*1.3208^4 gives 279.9858 (missing little bit because of accuracy).
A slightly better accuracy would be
base = 1.320816698856163
and 92*1.320816698856163^4 would still be 279.9999999999993, but VERY close to 280.
So it all depends on the accuracy you need.
If you need more accuracy, please tell me how many accurate digits you'd like the results.
Here it is:
base = 1.320816698856163713875997666455513013800337299231824403890097792042432005288739246325005446716740
and if you multiply together
92*base^4, you will get 280 accurate to at least 90 digits after the decimal.
I think that should be sufficient for what you need. Recall that these calculations cannot be done or verified on a 10 or 12 digit calculator.
Well, to please you, I have calculated it to 500 digits, don't think that's going to be of much practical use for anybody.
By the way, that's as far as I will do this evening. My eyes are almost closing!
base=1.3208166988561637138759976664555130138003372992318244038900977920424320052887392463250054467167408005624428737585147309981331510076693180633495574937759374668399829195521733208637815593771220504215429477168159456265024711237470736388371979840461777898466419772297172931568429339640964205400234392902077320257671263508487367942846685479533507498695981037274512050120058009244868634949261015429944340565311559486391625531554216085859773912355361847787636892603324966350039688974359584811585283183726532
You will have to divide 353 millimeters by 4:
353 ÷ 4 = 88.25
now we have to multiply 88.25 by 9 (5+4), the total millimeters of only one portion of this drug
88.25 x 9 = 794.25
So he will make 794.25 millimeters of drug (that is if he has the part a too)
(If you should round 88.25 to 88, the answer would be 88 x 9 = 792)
Answer: <u>Its already rounded to the nearest hundredth! </u>
Step-by-step explanation: If by one hundredth it is meant 1/100 of the unit then the number in question is already given to the nearest hundredth. No more rounding is necessary.
