1. The growth rate equation has a general form of:
y = A (r)^t
The function is growth when r≥1, and it is a decay when
r<1. Therefore:
y=200(0.5)^2t -->
Decay
y=1/2(2.5)^t/6 -->
Growth
y=(0.65)^t/4 -->
Decay
2. We rewrite the given equation (1/3)^d−5 = 81
Take the log of both sides:
(d – 5) log(1/3) = log 81
d – 5 = log 81 / log(1/3)
d – 5 = - 4
Multiply both sides by negative 1:
- d + 5 = 4
So the answer is D
256 in2 = s2
sqrt(256) = 16 → side length = 16
rectangle width = 16, length = 16+2 → 18
18 x 16 = 288 in2
1) Dimensions of rectangle are 14 and 7. Perimeter is:
2*(14+7) = 42.
2)Let the number of students who chose Tiger be x.
Number of students who chose Bulldog is 4*x.
Number of students who chose Lion is 2*x.
7x = 273 -> x=273/7=39.
Answer is 2*x=78.
3) The answer is B).
A and C aren't answers because they start with positive and end with negative numbers and D isn't answer because -6 1/4 is greater than -6,53.