A bank is offering 3.5% simple interest on a savings
account If you deposit $6,000, how much interest will you
earn in 2 years.

$630

Step-by-step explanation:

You want to calculate the interest on $6000 at 3.5% interest per year after 3 year(s).

The formula we'll use for this is the simple interest formula, or:

Where:

P is the principal amount, $6000.00.

r is the interest rate, 3.5% per year, or in decimal form, 3.5/100=0.035.

t is the time involved, 3year(s) time periods.

So, t is 3year time periods.

To find the simple interest, we multiply 6000 × 0.035 × 3 to get that:

The interest is: $630.00

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240