A total of

Question

A total of

$8000
is invested: part at
8%
and the remainder at
12%
.
How much is invested at each rate if the annual interest is
$650
?

Answer 1

if $x at 8%, then the rest (8000-x) is at 12%. So,

.08x + .12(8000-x) = 650

Now do the math.

Answer 2

Step 1: Let's assume the amount invested at 8% is x dollars.

Step 2: Since the total amount invested is $8000, the amount invested at 12% is (8000 - x) dollars.
Step 3: Calculate the interest earned from investing x dollars at 8%. The interest is calculated as follows: 0.08x (8% expressed as a decimal).
Step 4: Calculate the interest earned from investing (8000 - x) dollars at 12%. The interest is calculated as follows: 0.12(8000 - x) (12% expressed as a decimal).
Step 5: The total interest earned is given as $650. Therefore, we can set up the equation: 0.08x + 0.12(8000 - x) = 650.
Step 6: Simplify the equation:
0.08x + 960 - 0.12x = 650
-0.04x = -310
Step 7: Solve for x:
x = (-310) / (-0.04)
x = 7750
Step 8: So, $7750 was invested at 8% and $250 was invested at 12%.

Answer 3

To solve this problem, we can set up a system of equations. Let's assume that the amount invested at 8% is x dollars, and the amount invested at 12% is y dollars.

According to the problem, the total amount invested is $8000, so we have the equation:

x + y = 8000 (Equation 1)

The total interest earned from the investments is $650. The interest earned from the amount invested at 8% is given by 0.08x, and the interest earned from the amount invested at 12% is given by 0.12y. So we have another equation:

0.08x + 0.12y = 650 (Equation 2)

Now, let's solve this system of equations using the substitution method.

From Equation 1, we can rearrange it to solve for x:

x = 8000 - y

Now, substitute this value of x into Equation 2:

0.08(8000 - y) + 0.12y = 650

Distribute 0.08:

640 - 0.08y + 0.12y = 650

Combine like terms:

0.04y = 10

Divide both sides by 0.04:

y = 250

Now, substitute this value of y back into Equation 1 to solve for x:

x + 250 = 8000

Subtract 250 from both sides:

x = 7750

So, $7750 is invested at 8% and $250 is invested at 12%.

A total of

if $x at 8%, then the rest (8000-x) is at 12%. So,

336

Step 1: Let's assume the amount invested at 8% is x dollars.

To solve this problem, we can set up a system of equations. Let's assume that the amount invested at 8% is x dollars, and the amount invested at 12% is y dollars.