Answer:
40%
Step-by-step explanation:
The whole rectangle is split into 5 parts. Two out of 5 parts are shaded.
Set up a fraction:

Convert into a decimal:

Multiply the decimal by 100 to get the percent:

So, forty percent of the rectangle is shaded.
Hope this helps.
Answer:
x = 
Step-by-step explanation:
Given
f - ex = g - hx
Collect the terms in x on the left side by adding hx to both sides
hx - ex + f = g ( subtract f from both sides )
hx - ex = g - f ← factor out x on the left side
x(h - e) = g - f ← divide both sides by (h - e)
x = 
She should invest $6491.73.
The equation we use to solve this is in the form

,
where A is the total amount in the account, p is the principal invested, r is the interest rate as a decimal, n is the number of times per year the interest is compounded, and t is the amount of time.
A in our problem is 14000.
p is unknown.
r is 6% = 6/100 = 0.06.
n is 2, since it is compounded semiannually.
t is 13.
No need to fear, thehotdogman93 is here!
The first step is to get rid of those very large numbers. It's going to be very difficult to factor unless we can bring those high numbers down. So lets see if we can factor each term.
So after dividing 49 with every single digit. The only number that divides evenly is 7 and one, and 16 isnt divisible evenly by 7 so that didn't work. Looks like we're gonna have to work with these big numbers.
There is something interesting though about these numbers. 16 and 49 are both perfect squares. 16 is the same as 4^2 and 49 is the same as 7^2. So we can factor the whole trinomial as:

If we were to expand this out as:

and multiply it back into the original form. It would match with the expression we started with. The 4's would multiply back into 16x^2 and the 7's would multiply back into 49.
Additionally 4 * -7 is -28, so you can combine two -28x's into the -56x term in the original trinomial.
Thus, the answer is yes you can, and the answer is:
