Answer:
A: 1,590.00
Step-by-step explanation:
We can use the simple interest rate equation for this problem: p(1 + r)^t
Step 1: Replace the variables with the amounts given
10000(1 + 0.03)^5
Step 2: Solve/Plug in calc
You will get 1590.00
The way to determine the number of solutions is to complete the problem in multiple different ways.
Answer:
Option A)
Step-by-step explanation:
We are given the following in the question:
Cost of orange/black shirt = $15
Cost of black/white shirt = $10
Amount of money to be raised is atleast $1000.
Let x be the amount of orange/black shirt and y be the amount of black/white shirt.
Thus, we can write the inequality:
That is the total cost of orange/black shirt and black/white shirt should be greater than or equal to $1000.
Thus, the correct answer is
Option A)
the center is at the origin of a coordinate system and the foci are on the y-axis, then the foci are symmetric about the origin.
The hyperbola focus F1 is 46 feet above the vertex of the parabola and the hyperbola focus F2 is 6 ft above the parabola's vertex. Then the distance F1F2 is 46-6=40 ft.
In terms of hyperbola, F1F2=2c, c=20.
The vertex of the hyperba is 2 ft below focus F1, then in terms of hyperbola c-a=2 and a=c-2=18 ft.
Use formula c^2=a^2+b^2c
2
=a
2
+b
2
to find b:
\begin{gathered} (20)^2=(18)^2+b^2,\\ b^2=400-324=76 \end{gathered}
(20)
2
=(18)
2
+b
2
,
b
2
=400−324=76
.
The branches of hyperbola go in y-direction, so the equation of hyperbola is
\dfrac{y^2}{b^2}- \dfrac{x^2}{a^2}=1
b
2
y
2
−
a
2
x
2
=1 .
Substitute a and b:
\dfrac{y^2}{76}- \dfrac{x^2}{324}=1
76
y
2
−
324
x
2
=1 .
Answer:
Undefined
Step-by-step explanation:
It's undefined since slope is based on the x coordinate, and since it doesn't change here there is none. It's also undefined because the line is vertical. Hope this helps :)
