Respuesta :
Answer:
Amount invested in;
2% rate x = $2000
4% rate (2x+1000) = $5000
Step-by-step explanation:
Let x represent the amount invested in 2% rate;
The amount invested in 4% rate = 2x + 1000
Given;
Annual interest = $240
Annual interest for 2% rate;
0.02 × x = 0.02x
Annual interest for 4% rate;
0.04 × (2x+1000) = 0.08x + 40
Total annual interest is;
0.02x + 0.08x + 40 = 0.10x + 40
Equating to the given value;
0.10x + 40 = 240
0.10x = 240-40 = 200
x = 200÷0.10
x = $2000
And
2x +1000 = 2(2000) + 1000 = $5000
Amount invested in;
2% rate x = $2000
4% rate (2x+1000) = $5000
Answer:
$2000 at 2% and $5000 at 4%
Step-by-step explanation:
Let's call the amount invested at 2% 'X', so the amount invested at 4% is 2X+1000.
Then, if the total annual interest is 240, we have that:
X * 2% + (2X+1000) * 4% = 240
0.02X + 0.08X + 40 = 240
0.1X = 200
X = 200/0.1
X = $2000
If X is $2000, the second value is 2X+1000 = $5000
So it was invested $2000 at 2% and $5000 at 4%.
