Safiya deposited money into a bank account that earned 6.5% simple interest each year. after 3 1/2 years, she had earned $36.40 in interest on the account. if no other money was deposited into or withdrawn from the account, how much was her initial deposit?

$160

Step-by-step explanation:

We Know, Interest money = P * R * T / 100

Here, I = 36.40, R = 6.5, T = 3.5, P = ?

Substitute their values into the expression,

P = I * 100 / R * T

P = 36.40 * 100 / 6.5 * 3.5

P = 3640 / 22.75

P = 160

So, your final answer is $160

Hope this helps! :D

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1