Answer:
B. 72 cm by 108 cm
Step-by-step explanation:
We know scale is 4 cm:30 ft. So find how many time 30 ft goes into each measurement of playground and then multiply that by 4...
540/30=18
18×4=72
810/30=27
27x4=108
X^2+4x-12=0
(x+6)(x-2)=0
X can equal -6 and 2.
x=-6
x=2
It looks like for all of these we will be using the Pythagorean theorem.
If you don't know what this is or how to apply it, go to the website "Khan Academy" and watch his video(s) on it. I would suggest going to that site whenever you don't understand something in math :)
I'll just be giving you the answers and won't explain what I'm doing, but please do go to Khan Academy to find out how to do it on your own!!
Anyway, onto the answers.
1) a = 12.5, b = 5.7, c = 13.7.
2) 24
3) 19.2
4) 6.4
5) 18.7
6) 98.5
7) 1.9
Hope this helps!!!
Answer:
a. Decay
b. 0.5
c. 4
Explanation:
If we have a function of the form

then
a = intital amount
b = growth / decay rate factor
x = time interval
If b > 1; then the equation is modelling growth. If b < 0, then the equation is modelling decay.
Now in our case, we have

Here we see that
inital amount = a = 4
b = 1/ 2 < 0, meaning the function is modeling decay
decay factor = b = 1/2
Therefore, the answers are
a. Decay
b. 0.5
c. 4
Deposit = $400
Simple interest = 4%
Simple interest for one year = 4% of $400 = 0.04 x 400 = $16
Simple interest for 6 years = 16 x 6 = $96
Total interest for 6 years is $96