<h3>
Answer: Only first two are exponential growth function and last three functions are exponential decay functions.</h3>
Step-by-step explanation: We need to describe exponential growth or decay for the given functions.
The standard exponential function equation is
.
Where a is the initial value and b is the growth factor.
Note: If value of b > 1, it would be an exponential growth and if b < 1, it would be an exponential decay.
Let us check them one by one.
=> 
=> 
.
Value of b is 1.008 > 1, therefor it's an exponential growth function.
y=250(1+0.004)^t, also have b>1 therefor it's an exponential growth function.
All other functions has b values less than 1, therefore only first two are exponential growth function and last three functions are exponential decay functions.
Answer:
1. 15
2. 8
Step-by-step explanation:
The two sequence are geometric progression GP, because they follow a constant multiple (common ratio)
The nth term of a GP is;
Tn = ar^(n-1)
Where;
a = first term
r = common ratio
For the first sequence;
The common ratio r is
r = T3/T2 = 540/90 = 6
r = 6
T2 = ar^(2-1) = ar
T2 = 90 = ar
Substituting the values of r;
90 = a × 6
a = 90/6
a = 15
First term = 15
2. The sam method applies here.
Common ratio r = T3/T2 = 128/32 = 4
r = 4
T2 = ar^(2-1) = ar
T2 = 32 = ar
Substituting the values of r;
32 = a × 4
a = 32/4
a = 8
First term = 8
Answer:
As per the statement: the value of the expression 7 x n/4 greater than 7.
To describe the relationship between n and 4.
"greater than" symbol is represented by '>'
The value of expression 
grater than 7 is;
Divide by 7 both sides we get;
Multiply both sides of an equation by 4 we get;
Therefore, the relationship between n and 4 is,
2/33 * 1/5 * 11/10 = (2 * 1 * 11) / (33 * 5 * 10) = 22/1650 reduces to 1/75
Answer: 314 mm
Step-by-step explanation:
Area of a circle is π*r^2
r is radius and π is 3.14
here the radius is 10
3.14 * 10^2 = 3.14 * 100 = 314
