Let x represent the larger number.
Let y represent the smaller number.
x-y=4 Given
3x=5y-2 Given
Now we can just substitute; let x=4+y
Substitute 4+y for x in the second equation:
3(4+y)=5y-2
12+3y=5y-2
-2y=-14
y=7
Substitute back (into BOTH equations to double check work).
x, the larger number, is 11
Step-by-step explanation:
<em>3</em><em>x</em><em>²</em><em>-</em><em>1</em><em>5</em><em>x</em>
<em>3</em><em>x</em><em>(</em><em>x-5</em><em>)</em>
<em>When</em><em> </em><em>you</em><em> </em><em>multiply </em><em>you</em><em> </em><em>will</em><em> </em><em>get </em><em>the</em><em> </em><em>expression</em><em> </em><em>given </em><em>that</em><em>'s</em><em> </em><em>why</em><em> </em><em>it</em><em>'s</em><em> </em><em>th</em><em>e</em><em> </em><em>co</em><em>rrect</em><em> </em><em>a</em><em>nswer</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>q</em><em>uestion</em>
<em>So</em><em> </em><em>the</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>C</em>
<h3>
Answer: 12,201.90 dollars</h3>
You may need to delete the comma if you are entering this result into a computer system.
=====================================================
Work Shown:
P = 10,000 = deposit
r = 0.04 = decimal form of 4% interest rate
n = 4 = we're compounding 4 times a year
t = 5 years
-------------
A = P*(1+r/n)^(n*t) .... compound interest formula
A = 10,000*(1+0.04/4)^(4*5)
A = 12,201.9003994797
A = 12,201.90
After 5 years, there is $12,201.90 in the account.
This is assuming you do not deposit any more money, and it also assumes that you don't take any money out during the 5 year timespan either.
The answer is A. Left 3 and Down 4