Sam invests $9,400 in a fund yielding 5.2% simple interest annually. at the same time, pat shops around for a better interest rate and invests $9,400 in a fund yielding 6.0% simple interest annually. after seven years, how much more interest has pat’s fund earned than sam’s fund?
a.
$817.80
b.
$3,948.00
c.
$652.40
d.
$526.40

D

Step-by-step explanation:

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

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: