Answer:
122500
Step-by-step explanation:
The formula
A=p(1+rt)
A ?
P 100000
R 0.075
T 3 years
A=100,000×(1+0.075×3)
A=122500
Answer:
4
Step-by-step explanation:
Since the highest power of x is 4 in this case.
Answer:
-13
Step-by-step explanation:
Given are two vectors v and w.
v=(6,7,-3) and
w=(-7,5,2)
We are to find the dot product of v.w
We have
Dot product is obtained by multiplying corresponding pairs and adding them
Here we have
v.w=6(-7)+7(5)-3(2)
=-13
Answer:
f(x) = (8/3)x(x - 1).
Step-by-step explanation:
The vertex form of the function is
y = a(x - 1/2)^2 - 2/3 where a is some constant.
Now the roots are 0 and 1 so
For x = 0
0 = a(-1/2)^2 - 2/3
1/4 a = 2/3
a = 2/3 / 1/4 = 8/3.
So the function is
f(x) = (8/3)(x - 1/2)^2 - 2/3.
3 f(x) = 8(x - 1/2)^2 - 2
= 8(x^2 - x + 1/4) - 2
= 8x^2 - 8x + 2 - 2
3 f(x) = 8x(x - 1)
f(x) = (8/3)x(x - 1).
Answer:the number of children tickets that were sold is 30.
the number of adult tickets that were sold is 70
Step-by-step explanation:
Let x represent the number of children tickets that were sold.
Let y represent the number of adult tickets that were sold.
The movie theater sells a total of 100 tickets. This means that
x + y = 100
The theater charges $6 per child's ticket and $10 per adult's ticket. The movie theater made a total of $880. It means that
6x + 10y = 880 - - - - - - - - - - -1
Substituting x = 100 - y into equation 2, it becomes
6(100 - y) + 10y = 880
600 - 6y + 10y = 880
- 6y + 10y = 880 - 600
4y = 280
y = 280/4 = 70
x = 100 - y = 100 - 70
x = 30
