Answer:
12.5r + 200 = 12.5*2r
Step-by-step explanation:
<h3>Given</h3>
Rate of Hoppertunity = r
Rate of Dortmund = 2r as it is twice as fast
<h3>Solution</h3>
Let the distance Hoppertunity runs be d, then the distance Dortmund runs is d + 200 m
Since it took 12.5 seconds Dortmund to catch Hoppertunity, it can be expressed as:
- d = 12.5r for Hoppertunity
- d + 200 =12.5*2r for Dortmund
<u>By replacing d in the second equation, we get:</u>
<u>Soving</u>:
- 12.5r = 200
- r = 200/12.5
- r = 16 m/sec
Hoppertunity's rate is 16 m/sec
Dortmund's rate is 32 m/sec
Answer:
Step-by-step explanation:
I have no idea what formula that is you're using but the one I teach in both algebra 2 and in precalculus for continuous compounding is
where A(t) is the amount after the compounding, P is the initial investment, ee is Euler's number, r is the interest rate in decimal form, and t is the time in years. If our money doubles, we just have to come up with a number which will be P and then double it to get A(t). It doesn't matter what number we pick to double, the answer will come out the same regardless. I started with 2 and then doubled it to 4 and filled in the rest of the info given with time as my unknown:
Begin by dividing both sides by 2 to get
The only way we can get that t out of its current position is to take the natural log of both sides. Natural logs have a base of e, so
This is because they are inverses of one another. Taking the natural log of both sides:
Now divide by .062 to get
t = 11.2 years
Answer:
c. How much money would be in the account after 18 years?
Represent as
w=wally
a=ashan
so wally has 2 more marbles than ashan
w=2+a
together they have 88
w+a=88
since w=2+a, subsitute (2+a) for w in the w+a=88 equation
2+a+a=88
add like terms
2+2a=88
subtract 2 from both sides
2a=86
divide by 2
a=43
ashan has 43 marbles
Answer:
90
Step-by-step explanation:
There are 12 inches in a foot.
So you will take the 7 feet and multiply it by 12
This gives you 84 inches
You then take the 6 inches over the 7 feet and add to the 84 inches
Thus you get 90 inches.
