Answer:

Step-by-step explanation:
First find the slope using the slope using the given points. Remember that the slope is the change in y over the change in x.

So now we have the equation
, and we need to find out what b is. We can do this by pointing a point (either one, but I'll use -1,2) into the equation

Rearrange the equation so it equals b

Put it together and that's the final equation!

Answer:
Step-by-step explanation:
we know that
The compound interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
n is the number of times interest is compounded per year
in this problem we have
substitute in the formula above
Answer:
Step-by-step explanation:
A(-2,4),B(-2,1),C(-1,2)
after rotation clockwise
A'(4,2),B'(1,2),C'(2,1)
after translation
D(8,-1),E(5,-1),F(6,-2)
ΔABC=Δ DEF
Answer:
The budget line will remain unchanged.
Step-by-step explanation:
A budget line helps in showing the possible combinations of two commodities.
We can find the slope of the budget line that is also called the price ratio between two things. If we get a straight line, we say the slope is constant.
Here in the question its given that the initial constraints are (3,15) with initial income of $60. Then the price increases and constraints become (6,30) with an increase in income up to $120.
Therefore, the budget line will not be affected and remain unchanged as each constraint is doubling and the slope will be constant.