Answer:
This is the Graph and it's a Quadratic Function
the exponential function f(x) =
he invest $1000 for 5, 10, 15 years
5 years,
To find the amount of money he have , we plug in 5 for x and find out f(5)
f(x) =
f(5) =
= 1762.34
The amount of money he have after 5 years is 1762.34
10 years,
To find the amount of money he have , we plug in 10 for x and find out f(10)
f(10) =
= 3105.85
The amount of money he have after 10 years is 3105.85
15 years,
To find the amount of money he have , we plug in 15 for x and find out f(15)
f(15) =
= 5473.57
The amount of money he have after 15 years is 5473.57
f(5) = 1762.34
f(10) = 3105.85
f(15) = 5473.57
WE know 1 day = 24 hours
To find number of hours spent on each activity, we multiply the corresponding percentage by 24
School : 25 % --> 0.25 * 24 = 6.00 hrs
Eating : 10 % ----> 0.1 * 24 = 2.40 hrs
Sleep : 40 % ----> 0.4 * 24 = 9.60 hrs
Homework: 10 % ---->0.1 * 24 = 2.40 hrs
Free time: 15 % -----> 0.15 * 24 = 3.60 hrs
Defining C(n,r) as the number of combinations (order does not count) to choose r objects from n, where C(n,r)=n!/(r!(n-r)!)
there are
C(58,3) ways to choose 3 from 58 republicans,
and
C(39,2) ways to choose 2 from 39 democrats.
So the committee has
(C(58,3)*(C(39,2)) variants, or
58!/(3!55!) * 39!/(2!37!)
=30856*741
=22864296
Answer:
Class 7A collected 4.8 ounces of pure gold.
Step-by-step explanation:
<u>Key skills required are: Percentages, Multiplication</u>
<u />
- We only need the information about Class 7A. They collected 40 oz that contains 12% gold.
- In other words, this means that 12% of that 40 oz gold sand is pure gold.
Here we have to do 12% x 40 to find the number of oz of pure gold. We first have to convert 12% into a decimal. Divide it by a 100 (or move the decimal point 2 places to the left) and you will get 0.12.
<em>Do 0.12 x 40 and you will get 4.8</em>
Therefore, there are 4.8 oz of pure gold in Class 7A's gold sand