Answer:
d. (4,3,6,2)
Step-by-step explanation:
The list of <em>second numbers</em> of the ordered pairs is the <em>range</em>.
___
The second number of the first pair is 4; the second number of the second pair is 3. The only 4-number answer choice containing these two numbers is (d). You don't even have to work the whole problem to make the proper choice.
<span>Let x=smaller number
Then x+5=larger number
Now we are told the following:
1/5(x+x+5)=x-5 multiply each side by 5
x+x+5=5x-25 subtract 5x and also 5 from both sides
x+x+5-5-5x=5x-5x-25-5 collect like terms
</span><span>-3x=-30 divide both sides by -3
x=10 smaller number
x+5=10+5=15 larger number
CK
1/5(10+15)=10-5
1/5(25)=10-5
5=5 </span>
100cm2 that is the answer I got
ED:8cm,DC:10 so the air is HD:18
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.