Am i weird for liking acdc at the age of 14
1 answer:
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Answer:
x=34
Step-by-step explanation:
1. formula for Pythagorean Theorem for right trangles is <u>a^2+b^2=c^2</u>
2. a=30 and b=16, so (30)^2+(16)^2=c^2
3. (30)^2=900 and (16)^2=256
4. 900+256=1156
5. 1156=c^2
6.
7. the square root of 1156 is 34, so c=34
8. The missing side of the triangle, labeled as "x<em>"</em> is 34
Answer:
11.1 years
Step-by-step explanation:
The formula for interest compounding continuously is:
Where A(t) is the amount after the compounding, P is the initial deposit, r is the interest rate in decimal form, and t is the time in years. Filling in what we have looks like this:
We will simplify this first a bit by dividing 2000 by 1150 to get
To get that t out the exponential position it is currently in we have to take the natural log of both sides. Since a natural log has a base of e, taking the natual log of e cancels both of them out. They "undo" each other, for lack of a better way to explain it. That leaves us with
ln(1.739130435)=.05t
Taking the natural log of that decimal on our calculator gives us
.5533852383=.05t
Now divide both sides by .05 to get t = 11.06770477 which rounds to 11.1 years.