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2 years ago

Find the monthly growth rate as a percentage given this exponential function: f(t)=5,400(1.021)^t

Mathematics

1 answer:

choli [55]2 years ago

8 0

Answer:

The monthly growth rate is 2.1%

Step-by-step explanation:

To find the monthly growth rate, we have to consider what is inside the bracket

Mathematically, what we have in the bracket should be written as;

1 + r

Thus;

1 + r = 1.021

r = 1.021-1

r = 0.021

This is same as 2.1%

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Which inequality is true when G = 3/5 ?

GREYUIT [131]

Answer:

D. 15G > 9

Step-by-step explanation:

Given: G = 3/5

Here we have to check each options and find which is true.

Let's start from A.

G - 1 > 2/5

G > 2/5 + 1

G > 7/5 is not true.

B. -10G > 6

Dividing both sides by -10 , we get

G < -6/10

G < -3/5 Is not true.

C. 1 2/5 + G > 3

Now convert 1 2/5 to improper fraction.

1 2/5 = 7/5

7/5 + G > 3

G > 3 - 7/5

G > (15 - 7)/5

G > 8/5 is not rule.

D. 15G > 9

Dividing both sides by 15, we get

G > 9/15

Now we have to simplify 9/15

G > 3/5 which is true.

Answer: D. 15G > 9

Thank you.

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3 years ago

How do i find the missing base of a trapezoid?

11111nata11111 [884]

The tops and bottoms of a trapezoid are parallel, and a polygon's volume and angles are always 360.As long as you know the shape and about three of the lengths, you can find the base.

7 0

3 years ago

2 x + 6 = 10<br>solve for x

Mamont248 [21]

Answer:

x=2

Step-by-step explanation:

2x2=4

4+6=10

5 0

3 years ago

Read 2 more answers

What is the smallest integer that can be divided by the product of a prime number and 7 while yielding a prime number?

11111nata11111 [884]

Answer:

(D). 28

Step-by-step explanation:

We have been given that the smallest integer that can be divided by the product of a prime number and 7 while yielding a prime number.

We know that smallest prime is 2. The product of 2 and 7 is 14.

Let us divide our given numbers by 14.

(A) 7.

$\frac{7}{14}=\frac{1}{2}$

The quotient is not a integer or prime number.

(B). 14

$\frac{14}{14}=1$

We know that 1 is not a prime number.

(C) 24.

$\frac{24}{14}=\frac{12}{7}$

The quotient is not a integer or prime number.

(D). 28

$\frac{28}{14}=2$

Since 2 is a prime number, therefore, 28 is the smallest integer that can be divided by the product of a prime number and 7 and yield a prime number.

4 0

3 years ago

Find a negative real number such that the square of the sum of the number and 5 is equal to 1225. (

Sholpan [36]

The number is -40

Step-by-step explanation:

Let x be the number that we have to find

Then according to the given statement

the square of the sum of the number and 5 is equal to 1225.

$(x+5)^2 = 1225$

Taking square root on both sides

$\sqrt{(x+5)^2} = \sqrt{1225}\\x+5 = -35 and x+5 = -35\\$

Subtracting 4 from both sides

$x+5-5 = 35-5\ and\\ x+5 = -35-5\\x = 30\ and\ x = -40$

As it is mentioned in the equation, that the number is a negative number

So,

x = -40

Keywords: Radicals, Linear equations

Learn more about radicals at:

#LearnwithBrainly

5 0

3 years ago

Find the monthly growth rate as a percentage given this exponential function: f(t)=5,400(1.021)^t​

Find the monthly growth rate as a percentage given this exponential function: f(t)=5,400(1.021)^t