Mathematics

Grade10

Easy

Question

The initial amount of the exponential decay function f(x) = 3.7^x is _________.

7^x
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) = 3.7^x is 3.

y= a(1 - r)^x

a=initial amount
y=final amount
r=decay rate

An application of the exponential growth is ____________.

formula for compound interest is
A=P(1+r/100)ⁿ
A=amount
p=principal
r=rate of interest
n=number of years

An application of the exponential growth is ____________.

MathematicsGrade10

formula for compound interest is
A=P(1+r/100)ⁿ
A=amount
p=principal
r=rate of interest
n=number of years

Grade10

Mathematics

Harsh spends 35% of his monthly salary of $7000 on entertainment. Find the amount spent by him on entertainment.

MathematicsGrade10

Grade10

Mathematics

Write the radical $root index 7 of 2 to the power of negative 3 end exponent end root$ using rational exponents.

MathematicsGrade10

Grade10

Mathematics

The value of 3^5k= 531441 is _______.

MathematicsGrade10

Grade10

Mathematics

The value of d if 9^d= 6561 is _______.

MathematicsGrade10

Grade10

Mathematics

If $5 to the power of negative 2 over 3 end exponent equals 125 to the power of x over 8 end exponent over 25 to the power of 4 over 3 end exponent$ , then find the value of x.

MathematicsGrade10

Grade10

Mathematics

The sides of a rectangle are 12^k and 5^k; find the value of k if the area of the rectangle is 12960000.

MathematicsGrade10

Grade10

Mathematics

Evaluate (3⁴)³.

MathematicsGrade10

Grade10

Mathematics

What is the exponent when 7 is raised to 5?

MathematicsGrade10

Grade10

Mathematics

Write the radical $square root of square root of 390625 end root$ using rational exponents.

Therefore the correct answer is option 3

Write the radical $square root of square root of 390625 end root$ using rational exponents.

MathematicsGrade10

Therefore the correct answer is option 3

Grade10

Mathematics

Solve $13 to the power of 9 over 13 to the power of 4$ .

Therefore using exponents property we got choice 3

Solve $13 to the power of 9 over 13 to the power of 4$ .

MathematicsGrade10

Therefore using exponents property we got choice 3

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The initial amount of the exponential decay function f(x) = 3.7x is _________.

7x347

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.

Related Questions to study

An application of the exponential growth is ____________.

An application of the exponential growth is ____________.

If f(x) = 4.9x, then what is the value of f(x) if x = 3.

If f(x) = 4.9x, then what is the value of f(x) if x = 3.

The range of the exponential function f(x) = 5.8x is ________.

The range of the exponential function f(x) = 5.8x is ________.

The initial amount of the exponential function f(x) = 3.4x is ________.

The initial amount of the exponential function f(x) = 3.4x is ________.

The y-intercept of the function is ___________.

The y-intercept of the function is ___________.

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.

Write the radical using rational exponents.

Write the radical using rational exponents.

The value of 35k = 531441 is _______.

The value of 35k = 531441 is _______.

The value of d if 9d = 6561 is _______.

The value of d if 9d = 6561 is _______.

If , then find the value of x.

If , then find the value of x.

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.

Evaluate (34)3.

Evaluate (34)3.

What is the exponent when 7 is raised to 5?

What is the exponent when 7 is raised to 5?

Write the radical using rational exponents.

Write the radical using rational exponents.

Solve .

Solve .

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The initial amount of the exponential decay function f(x) = 3.7^x is _________.

7^x
3
4
7

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) = 3.7^x is 3.

If f(x) = 4.9^x, then what is the value of f(x) if x = 3.

If f(x) = 4.9^x, then what is the value of f(x) if x = 3.

The range of the exponential function f(x) = 5.8^x is ________.

The range of the exponential function f(x) = 5.8^x is ________.

The initial amount of the exponential function f(x) = 3.4^x is ________.

The initial amount of the exponential function f(x) = 3.4^x is ________.

Write the radical $root index 7 of 2 to the power of negative 3 end exponent end root$ using rational exponents.

Write the radical $root index 7 of 2 to the power of negative 3 end exponent end root$ using rational exponents.

The value of 3^5k= 531441 is _______.

The value of 3^5k= 531441 is _______.

The value of d if 9^d= 6561 is _______.

The value of d if 9^d= 6561 is _______.

If $5 to the power of negative 2 over 3 end exponent equals 125 to the power of x over 8 end exponent over 25 to the power of 4 over 3 end exponent$ , then find the value of x.

If $5 to the power of negative 2 over 3 end exponent equals 125 to the power of x over 8 end exponent over 25 to the power of 4 over 3 end exponent$ , then find the value of x.

The sides of a rectangle are 12^k and 5^k; find the value of k if the area of the rectangle is 12960000.

The sides of a rectangle are 12^k and 5^k; find the value of k if the area of the rectangle is 12960000.

Evaluate (3⁴)³.

Evaluate (3⁴)³.

Write the radical $square root of square root of 390625 end root$ using rational exponents.

Write the radical $square root of square root of 390625 end root$ using rational exponents.

Solve $13 to the power of 9 over 13 to the power of 4$ .

Solve $13 to the power of 9 over 13 to the power of 4$ .