Suppose $1,000 is divided into two bank accounts. One account pays 1% simple interest per year and the other pays 2.5%. After three years there is a total of $55 in interest between the two accounts. How much was invested into the bank account that pays 2.5% simple interest (rounded to the nearest cent)?

$333.33

$444.44

$555.56

$451.55

@iGreen

Question

Suppose $1,000 is divided into two bank accounts. One account pays 1% simple interest per year and the other pays 2.5%. After three years there is a total of $55 in interest between the two accounts. How much was invested into the bank account that pays 2.5% simple interest (rounded to the nearest cent)?
 

 





 
 
  
$333.33 


 




 
 
  
$444.44 


 




 
 
  
$555.56 


 




 
 
  
$451.55 
 
@iGreen

igreen · Answer

Okay.

Account w/ 1% = x

After 3 years:

$x(0.01)(3) \rightarrow 0.03x$

2.5% account = 1000 - x

Earning: (1000 - x)(0.25)(3) = 75 - 0.75x

Total interest = 55

That means: 0.03x + 75 -0.075x = 55

Solve for x:

x = 444.44

Now subtract 1000 - 444.44

That will be your answer

Can you do that? @DUDE..LOOK..ITS..SGTC

anonymous · Answer

thanks



One number is two more than a second number. Twice the first number is triple the second number minus 4. Find the numbers.
 

 





 
 
  
(negative-2, 0) 


 




 
 
  
(0, 2) 


 




 
 
  
(10, 8) 


 




 
 
  
(5, 7)

anonymous · Answer

@iGreen

anonymous · Answer

@iGreen

anonymous · Answer

@gorv

igreen · Answer

x = First Number
y = Second Number

x = 2 + y
2x = 3y - 4

You have two equations..you can substitute 2 + y for x in the second equation:

2x = 3y - 4

2(2 + y) = 3y - 4

Distribute the 2:

4 + 2y = 3y - 4

Subtract 4 to both sides:

2y = 3y - 8

Subtract 3y to both sides:

-y = -8

Multiply -1 to all terms:

y = 8

So our second number is 8.

Now we can plug in y = 8 into any of the two equations:

x = 2 + y

x = 2 + 8

Add:

x = 10

So what's our answer? @DUDE..LOOK..ITS..SGTC

anonymous · Answer

(10,8)

igreen · Answer

Yep, you got it.

anonymous · Answer

The length of a rectangle is three more than twice its width. The perimeter is 36 inches. Find the length and width.
 

 





 
 
  
w = 5, l = 13 


 




 
 
  
w = 8, l = 10 


 




 
 
  
w = 6, l = 12 


 




 
 
  
w = 7, l = 11 


 

 
 
@iGreen

igreen · Answer

l = 2w + 3

Perimeter = 36.

Formula for Perimeter of triangle:

$P = 2l + 2w$

Plug in the Perimeter and 2w + 3 for l:

$36 = 2(2w + 3) + 2w$

Distribute:

$36 = 4w + 6 + 2w$

Add:

$36 = 6w + 6$

Subtract 6 to both sides:

$30 = 6w$

Divide:

$w = 5$

So the width is 5.

We can plug this back into the equation with the Perimeter:

$P = 2l + 2w$

$36 = 2l + 2(5)$

Distribute:

$36 = 2l + 10$

Subtract 10 to both sides:

$26 = 2l$

Divide:

$l = 13$

So what's our final answer? @DUDE..LOOK..ITS..SGTC

anonymous · Answer

(5,13)

igreen · Answer

Yep.

Width = 5

Length = 13