The annual interest that can be earned through investment of an amount at a simple interest can be calculated through the equation,
I = P x (i)
where I is interest, P is the principal amount, and i is the decimal equivalent of the interest.

Let x be the amount deposited with 3.5% interest. With this representation, the amount deposited with 5.5% is 5800 - x.

The linear equation that would represent the given scenario is,
x(0.035) + (5800 - x)(0.055) = 283

Simplifying the equation,

0.035x + 319 - 0.055x = 283

Combining like terms,
-0.02x = -36
Dividing by -0.02,
x = 1800
$5800 - x = $5800 - $1800 = y
y = $4000

Hence, the value that should be deposited to the 5.5% is $40000.

4 0

2 years ago

8^(3x-1)=2^8 <br><br>Solve for x

Yuri [45]

$8^{(3x-1)}=2^8 \\\\ 2^{3(3x-1)}=2^8 \\\\ 3(3x-1)=8 \\\\ 9x-3=8 \\\\ 9x=8+3 \\\\ 9x=11 \\\\ \boxed{x=\frac{11}{9}}$