Mathematics
Grade10
Easy
Question
The initial amount of the exponential decay function f(x) = 3.7x is _________.
- 7x
- 3
- 4
- 7
The correct answer is: 3
The formula of an exponential decay function is f(x) = a(1 - r)x, where a is the initial amount, r is the decay rate, x is the number of time intervals.
So, the initial amount of f(x) = 3.7x is 3.
y= a(1 - r)x
a=initial amount
y=final amount
r=decay rate
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)
The y-intercept of the function is ___________.
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)
MathematicsGrade10
Mathematics
Harsh spends 35% of his monthly salary of $7000 on entertainment. Find the amount spent by him on entertainment.
Harsh spends 35% of his monthly salary of $7000 on entertainment. Find the amount spent by him on entertainment.
MathematicsGrade10
Mathematics
Write the radical
using rational exponents.
Write the radical
using rational exponents.
MathematicsGrade10
Mathematics
The value of 35k = 531441 is _______.
The value of 35k = 531441 is _______.
MathematicsGrade10
Mathematics
The value of d if 9d = 6561 is _______.
The value of d if 9d = 6561 is _______.
MathematicsGrade10
Mathematics
If
, then find the value of x.
If
, then find the value of x.
MathematicsGrade10
Mathematics
The sides of a rectangle are 12k and 5k; find the value of k if the area of the rectangle is 12960000.
The sides of a rectangle are 12k and 5k; find the value of k if the area of the rectangle is 12960000.
MathematicsGrade10
Mathematics
Evaluate (34)3.
Evaluate (34)3.
MathematicsGrade10
Mathematics
What is the exponent when 7 is raised to 5?
What is the exponent when 7 is raised to 5?
MathematicsGrade10
Mathematics
Write the radical
using rational exponents.
Therefore the correct answer is option 3
Write the radical
using rational exponents.
MathematicsGrade10
Therefore the correct answer is option 3
Mathematics
Solve
.
Therefore using exponents property we got choice 3
Solve
.
MathematicsGrade10
Therefore using exponents property we got choice 3