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
Answer:
<u>The correct answer is D. 69</u>
Step-by-step explanation:
Let's recall that if an exterior angle has its vertex where two rays share an endpoint outside a circle, the measure of that exterior angle is found by dividing the difference between the measures of the intercepted arcs by two.
Therefore, we have:
x = (Measure of arch CD - Measure of arch BD)/2
Replacing with the real values:
x = (210 - 72)/2
x = 138/2 = 69°
<u>The correct answer is D. 69</u>
Answer:
42 units squared
Step-by-step explanation:
break it up into smaller shapes. if you split the big shape at y = 2 and at y=-2, you'll get two triangles and one rectangle.
so the area of the rectangle = l x w
= 4 x 7
= 28
the area of the triangle is ( l x w )/2
= (7 x 2)/2
= 7
the other triangle is the same too
so the area of that is also 7.
now add all areas,
7+7+28 = 42
Answer:
$2,010.00
Step-by-step explanation:
add to break evi
All of them are true.
Refer to calculation for understanding.
