Answer:
a. Yes. The difference is common and equal to $1750
b. $1750
c. $20000 was initial investment
d. This is linear equation with start point of 20000 and slope of 1750:
e. After another 10 years (on the top of 5 given) the investment will be:
- y = 1750*15 + 20000 = $46250
f. After 20 years the value of investment will be:
- y = 1750*20 + 20000 = $55000
Answer:
1/3
Step-by-step explanation:
the one on the left is 3 times larger than the one on the right. in other words, the right triangle's dimensions times 1/3 is equal to the left triangle's dimensions.
Answer:
Step-by-step explanation:
This is a positive parabola so it opens upwards. The equation for the directrix of this parabola is y = k - p. k is the second number in the vertex of the parabola which is (0, 0), but we need to solve for p.
The form that the parabola is currently in is
so that means that
. We can use that to solve for p in the formula
so
which simplifies to
which gives us that
p = 2. Now to find the directrix:
y = k - p becomes
y = 0 - 2 so
y = -2, choice A.
All of the equations contain -4 in their range.
A) -4 = sqrt(x) - 5
1 = sqrt(x)
x = 1; valid
B) -4 = sqrt(x) + 5
-9 = sqrt(x)
x = 81; valid
C) -4 = sqrt(x + 5)
16 = x + 5
x = 11; valid
D) -4 = sqrt(x - 5)
16 = x - 5
x = 21
I believe the equations contain square instead of square root, in which case the answer would be A because no other could have a negative range.