Find the discriminant b^2 - 4ac: It is 3^2 - 4(2)(54), or -423. The negative sign tells us that this quadratic has two unequal, complex roots, which are:

-(3) ± i√423 -3 ± i√423

n = ------------------- = ------------------

2(2) 4

3 0

3 years ago

Katie invests $5,000 in an account earning 4% interest, compounded annually for 5 years. Two years after Katie's initial investm

Lyrx [107]

Emily earned $166 more in her account than Katie.

We use the compound interest formula for both of these:

$A=p(1+r)^t$

For Katie's deposit:
$A=5000(1+0.04)^5=5000(1.04)^5 = 6083.26$

This gives Katie 6083.26-5000 = 1083.26 in interest (1083, to the nearest dollar).

For Emily's deposit:
$A=10000(1+0.04)^3=10000(1.04)^3=11248.64$

This means she earned 11248.64-10000=1248.64 in interest (1249, to the nearest dollar).

The difference in interest is given by 1249-1083=166

4 0

3 years ago

Read 2 more answers