A is equivalent to -(8/3)
Answer:
6 days
Step-by-step explanation:
First we have to write an expression that represents Johnny's and Sal's banking plans.
Johnny: He has an initial value of $100 and that value will increase by $15 every day. So the expression looks like: 15x + 100, where x is the amount of days it's been.
Sal: An initial value of $250 and the value will decrease by $10 everyday. The expression looks like: -10x + 250, where x is the amount of days it's been.
To find how many days they have until they have the same amount of money in the bank, we can set the expressions equal to each other and solve for x:
15x + 100 = -10x + 250
Add 10x to both sides to isolate the x on one side of the equation:
25x + 100 = 250
Subtract 100 from both sides of the equation to isolate 25x:
25x = 150
Divide both sides by 25 to find the value of x:
x = 6
Since x represents the amount of days it's been, x = 6 means that it will take 6 days for their bank accounts to have the same amount of money in them.
Hope this helps :)
Answer:
rotation of 90 degrees counterclockwise centered at the origin
Step-by-step explanation:
Just look at one single point of A and what must happen to it to become the corresponding point in B.
Look at point (2, 1) in figure A. Draw a segment from (0, 0) to (2, 1).
The corresponding point in figure B to (2, 1) is (-1, 2). Now draw a segment from (0, 0) to (-1, 2). Look at the relationship between the two segments.
The segment (0, 0) to (2, 1) is perpendicular to the segment (0, 0) to (-1, 2).
The transformation is a rotation of 90 degrees counterclockwise centered at the origin.
Answer:
Step-by-step explanation:
I think the question is faulty.
Suppose you have 1000 dollars invested in the UK financial instrument. It returns 9.5%. 9.5% of 1000 dollars is (9.5/100) * 1000 = 95 dollars. If you bring that 95 dollars back to the US, you get an additional 4% because of the exchange rate. (This assumes that the 95 is in British Pounds). So 4% of 95 is about 3.80 US dollars. That brings the total up to (98.80/1000)* 100% which is about 9.88%. No such answer exists.
The question is so unclear that a number of other answers are possible. But none are going to be as high as 13% or as low as 5.5% or even 8%.
Discussing the 8% is worth a bit of time. When you bring in the US dollars the pound conversion gives you an extra 4%. The amount of money will go up, not down.
13% is arguably right only if you repatriate the 1000 dollars, but the problem did not make clear that was what was happening.
I don't know what answer you should pick. 9.5% is the closest answer so it is perhaps what you should pick, but it is not correct.
Answer: To find the vertex: use formula x= -b/2a.
plug x into the given equation to find y value.
now you have (h,k)
find a point on the graph and plug in to the vertex form equation to find "a"
Step-by-step explanation:
