Answer:
$32.50
Step-by-step explanation:
The equation for simple interest is
Simple Interest=P×r×n
where:
P=Principal amount
r=Annual interest rate
n=Term of loan, in years
so
P=200
r=0.0325
n=5
so 200*0.0325*5=32.5
Firstly, we will let this mystery number we are finding be labelled as x. Double this number can be written as 2x. 5 less than double this number is written as 2x - 5. And because this number is between -7 and 13, we have the full inequality, -7 < 2x - 5 < 13.
To solve this inequality, we want to isolate x, so we add 5 to all 3 parts of the inequality. Doing so cancels out the - 5 in the middle, so our new inequality is -2 < 2x < 18. Now we want to divide all 3 parts of the inequality by 2 to isolate x, so now our final inequality is -1 < x < 9. Thus, we can say that x is between -1 and 9.
Answer:
(√2)x/2 or (√2/2)x
Step-by-step explanation:
Let's draw two squares, one with diagonal length x and the other with diagonal length √2. In the second case, the side length is 1, which you can confirm by recalling that 1^2 + 1^2 = 2*1^2 and √2*1^2 = √2.
These two squares are similar, even if they're of different sizes.
Writing an equation of ratios, we get:
side length 1
---------------------- = -------------
x √2
Then (side length)*√2 = x (after cross-multiplication)
and so (side length) = x/√2 or (√2)x/2 or (√2/2)x
5 times 3 equals 15 so they gained 15 yards. 12 times 2 equals 24. 24 minis 15 equals 9. So the answer in 9 yards