Answer:
$1015.11
Step-by-step explanation:
Compounded interest rate formula: A = P(1 + r/n)^t
Step 1: Plug in known variables
A = 1000(1 + 0.005/12)^36
Step 2: Multiply it all together
1000(1.00042)^36
1000(1.01511)
1015.11
This is a pretty bad bank considering only giving you .5% interest per month.
Answer: x > 5
Step-by-step explanation: To solve for x in this inequality, your goal is the same as it would be if you were solving an equation, to get x by itself on one side.
Since 8 is being subtracted from x, add
8 to both sides of the inequality.
On the left the -8 +8 cancels out
and on the right, -3 + 8 is 5.
So we have x > 5.
Answer:
u were paid 9 dollars an hour
Step-by-step explanation:
Answer:
There are 27,720 ways to select the committee
Step-by-step explanation:
First, it is necessary to know how many ways are there to select 3 members, if there are 9 members of the mathematics department. This can be found using the following equation:
Where nCk gives as the number of ways in which we can select k elements from a group of n elements. So, replacing n by 9 and k by 3 members, we get:
So, there are 84 ways to select 3 members from 9 members of the mathematics department.
At the same way, we can calculate that there are 330 ways to select 4 members from the 11 that belong to the Computer science department as:
Finally the total number of ways in which we can form a committee with 3 faculty members from mathematics and 4 from the computer science department is calculated as:
9C3 * 11C4 = 84 * 330 = 27,720
Answer:
y= · x²
Step-by-step explanation:
·x²
p=3
·x²
So answer is C.
Hmm first I'll check the slanted line cutting 2nd quardrant..
some points on this line are (-3,0),(0,3),(2,5),(3,6),etc.
Testing (-3,0)=(x,y):
y=-3+3=0 (true)..comparable with y=x+3
Testing (2,5)=(x,y):
y=2+3=5 (true)..comparable with y=x+3
Since this line bounds the value within some limits less than or equal to x+3(see graph you can see it clearly)...so it can be represented by y<=x+3.
Similarly for next line cutting 1st and 4th quardrant,
Points: (0,-4),(1,-1),(2,2),etc..
Testing (0,-4)=(x,y):
y=3*0-4=-4(true)...comparable with y=3x-4
Testing (1,-1)=(x,y):
y=3*1-4=-1(true)...comparable with y=3x-4
This line bounds within the region y>3x-4
NOTE:
1)If the region is bounded by solid line(line without dot) then you write inequality as y<=something or y>= something.
2)If the region is bounded by dotted line(line withdot) then you write inequality as y<something or y> something.
Hope this helps!
Answer:
The answer is D
Step-by-step explanation: