The remaining balances in the first and second account are $5805 and $1020 respectively.
<em><u>Explanation</u></em>
Suppose, the initial balance in the first account was 
dollar.
As the total amount in two accounts was $9000, so the <u>initial balance in the second account was</u> 
He withdrew 10% from the first and 60% from the second account to buy the ring which cost $2175. So, the equation will be......
So, <u>the initial balance</u> in the first account was $6450 and in the second account was ($9000 - $6450)= $2550
Thus, the remaining balance in the first account = 90% of $6450 = 
and the remaining balance in the second account = 40% of $2550 = 
"Rowanda 7.24 km and Terrance 5.1 km" is correct:
Rowanda jogged farther than Terrance so the third version, where 3.51km is smaller than 5.65km, can be ruled out. Then you have to look for the difference between the two values of the others--it has to be a difference of 2.14km. in this case it works:
7.24km - 5.1km = 2.14km
this shows she jogged 2.14km more than Terrance :)
The same thing works for the first version with 6.5km-4.36km=2.14km :) so the first one is correct, too
Let x represent the number of red marbles, then blue marbles are represented by x + 31
red + blue = 225
x + x + 31 = 225
2x + 31 = 225
2x = 194
x = 97
Blue: x + 31 = 97 + 31 = 128
Answer: 128 blue marbles
For this case we have the following equation:
cot θ = c
Rewriting we have:
cosine (θ) / sine (θ) = c
From here, we must clear the value of the sinus (θ).
We have then:
sine (θ) = (1 / c) * cosine (θ)
Answer:
a formula for sin θ in terms of c is:
sine (θ) = (1 / c) * cosine (θ)
