Find the time required for an investment of 5000 dollars to grow to 9000 dollars at an interest rate of 7.5
percent per year, compounded quarterly.
Your answer is t =
years.

Answer:

a) The average rate of change for the function [tex]f(x)=4(2)^x[/tex] over interval x=1 to x=2 is 8

b) The average rate of change for the function [tex]f(x)=4(2)^x[/tex] over interval x=3 to x=4 is 32

Step-by-step explanation:

We are given function [tex]f(x)=4(2)^x[/tex]

We need to find Average rate of change

The formula used is: [tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}[/tex]

Part a) The interval is: x=1 to x=2

We have a= 1 and b=2

Finding f(a) i.e f(1)

[tex]f(x)=4(2)^x\\Put \ x =1\\f(1)=4(2)^1\\f(1)=4(2)\\f(1)=8[/tex]

Now finding f(b) i.e f(2)

[tex]f(x)=4(2)^x\\Put \ x =2\\f(2)=4(2)^2\\f(2)=4(4)\\f(2)=16[/tex]

Now finding average rate of change.

[tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\\Average \ rate \ of \ change=\frac{16-8}{2-1} \\Average \ rate \ of \ change=\frac{8}{1}\\Average \ rate \ of \ change=8[/tex]

So, average rate of change for the function [tex]f(x)=4(2)^x[/tex] over interval x=1 to x=2 is 8

Part b)

The interval is: x=3 to x=4

We have a= 3 and b=24

Finding f(a) i.e f(3)

[tex]f(x)=4(2)^x\\Put \ x =3\\f(3)=4(2)^3\\f(3)=4(8)\\f(3)=32[/tex]

Now finding f(b) i.e f(4)

[tex]f(x)=4(2)^x\\Put \ x =4\\f(4)=4(2)^4\\f(4)=4(16)\\f(4)=64[/tex]

Now finding average rate of change.

[tex]Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}\\Average \ rate \ of \ change=\frac{64-32}{4-3} \\Average \ rate \ of \ change=\frac{32}{1}\\Average \ rate \ of \ change=32[/tex]

So, average rate of change for the function [tex]f(x)=4(2)^x[/tex] over interval x=3 to x=4 is 32

Since the interval is increasing, so does our average rate of change increasing as function is also increasing.

Answer:

$41.11

Step-by-step explanation:

28.75 + (28.75 x 0.35) + (28.75 x 0.08)

Please mark brainliest and have a nice day

Full answer is 41.1125

Answer:

24.9476

Step-by-step explanation:

55= 24 kilo. but since its 2.2 pounds its gonna be the answer i said (i think) Hope this helps

Answer:

24.94

Step-by-step explanation:

this is the answer

Answer:

x

Step-by-step explanation:

bc the coefficient of x is 1 and that's invisible so it's x

Answer:

i think its the last option

Step-by-step explanation:

Answer:

120 mph

Step-by-step explanation:

How to calculate is 600/5

Answer

The average speed of the car is 120 miles per hour.

Explanation

The formula to find speed is distance over time.

600 miles is the distance.

5 hours is the time.

So divide 600 by 5.

600 divided by 5 is 120, meaning the average speed of the car is 120 miles per hour.

Answer: 135

Step-by-step explanation:

remember PEMDAS

3^3=27

(27*10)/2=270/2=135

Answer:

48.9 and 50.5 are rejected.

Step-by-step explanation:

Since the standard deviation shows the spread of the values of the voltages, we need to find the mean of the values and use the standard deviation to find the minimum and maximum voltage allowed.

So mean μ = Σx/N where x = individual values of voltage and N = number of values = 10

So, μ = Σx/N

= (49.3 + 50.1 + 48.9 + 49.2 + 49.7 + 50.5 + 49.9 + 49.3 + 49.8 + 50.2)/10

= 496.9/10

= 49.69

≅ 49.7 V

So, the acceptable values of voltage are in the range μ ± σ where σ = standard deviation = 0.50 V.

So, the acceptable values of voltage are in the range 49.7 ± 0.50 V

So, minimum value = 49.7 V - 0.50 V = 49.2 V

and maximum value = 49.7 V + 0.50 V = 50.2 V

So any voltage outside the range 49.2 V ≤ x ≤ 50.2 V is rejected.

There are two values outside this range which are 48.9 and 50.5. So these two values are rejected.

Answer:

1/5

Step-by-step explanation:

Since Kendra painted 40% of the banner and Benicio painted the same, it would equal 80. Since its asking you what is left it would be 20, when you convert 20 into a fraction you'll get 1/5

I hope this helped

Answer:

1/5

Step-by-step explanation:

1/5 is the answer

&"%;;'cgj

Step-by-step explanation:

First, replace f(x) with y ⇒ f(x)=6x-19 ⇒ y=6x-19

Then y with x and x with y  ⇒ y=6x-19 ⇒ x=6y-19

Solve the equation from for y:

           x=6y-19

           x+19=6y dividing with 6

           1/6 x +(19/6) = y

Replace y with f−1(x) ⇒ f−1(x)= 1/6 x +(19/6)

hope this helps!

Answer:

b. $304.62

Step-by-step explanation:

Just took the test and got it right

The cost of the hardcoer dictionary today given the CPI is  $304.62.

The consumer price index measures the percentage in the price of a basket of goods. It is used to measure inflation.

Cost of the hardcoer dictionary today = $145.75 x (209/100) = $304.62

To learn more about, consumer price index, please check: https://brainly.com/question/26382640

Answer:

4

Step-by-step explanation:

im pretty sure that's the right answer!! let me know if I'm right

Answer:

x=3

Step-by-step explanation:

3x3=9

9+2=11

Brainliest plz :)

Answer:

X = 3

Step-by-step explanation:

3x + 2 = 11

3x = 11 - 2

3x = 9

X = 9/3

X = 3

Answer:

1131

Step-by-step explanation:

2900 x .39 = 1131

Answer:

(x-1)(x+1)(x+3)

Step-by-step explanation:

first you group the 2 parts of the equation

{(x^3) + (3x^3)} {-x - 3}

you can take out x squared from the first group and are left with x+3 and you can take out -1 from the second group also leaving you with x+3. Because these groups match it means that x+3 is a factor.

x^2(x+3) -1(x+3)

combine them

(x^2-1) (x+3)

x squared minus one can be simplified more to (x-1) and (x+1) so the final answer is (x-1)(x+1)(x+3)

Answer:

113.35

Step-by-step explanation:

Answer:

Ok what are we supposed to do?

Step-by-step explanation:

I believe its the first one, think of it like a mirror you would flip the shape which would do make x negative and y positive, sorry if im wrong

Answer:

17.5-b=12.5 (b=5)

3/2+b=5 (b=7/2)

b+6=15 (b=9)

27 / b= 3 (b=9)

4 x b = 14 ( b=7/2)

Step-by-step explanation:

Answer:

The answer would be C. I believe it is C. The force believes it is C. So put C.

Answer:

haveing a savings account give individuals the ability to borrow money from members in the community

the awnser is C

Step-by-step explanation:

Answer:

Angle a = 112.5°

Angle b = 67.5°

Step-by-step explanation:

Angle a + angle b = 180° (Supplementary Angles/angles on a straight line)

Let x = m<b

m<a = ⁵/3(x)

Therefore:

⁵/3x + x = 180

[tex] \frac{5x}{3} + x = 180 [/tex]

[tex] \frac{5x + 3x}{3} = 180 [/tex]

[tex] \frac{8x}{3} = 180 [/tex]

Multiply both sides by 3

[tex] \frac{8x}{3} \times 3 = 180 \times 3 [/tex]

[tex] 8x = 540 [/tex]

Divide both sides by 8

x = 67.5°

Angle a = ⁵/3(x) = ⁵/3(67.5) = 112.5°

Angle b = x = 67.5°

Answer:

84 cubes

Step-by-step explanation:

Given,

The dimension of the rectangular prism are,

Hence, the volume of the prism,

Now, the volume of a cube = side³,

If side =  ft,

Then the volume of each cube,

Hence, the number of cubes that can be packet in the prism

Answer:

Step-by-step explanation:

Answer:

84 cubes

Step-by-step explanation:

Given,

The dimension of the rectangular prism are,

Hence, the volume of the prism,

Now, the volume of a cube = side³,

If side =  ft,

Then the volume of each cube,

Hence, the number of cubes that can be packet in the prism

Probability = the number of ways of achieving success (getting the desired outcome).

P(E) = event with the desired outcome/total no. of events

P(E) = 7/60

Answer:

(3)(15)

Step-by-step explanation:

75% of 60=60 x 0.75

      =(3)(15)

Answer:C

Step-by-step explanation:

C

Answer: i need help on this one to

Step-by-step explanation:

Answer:

6 just trust me

Step-by-step explanation: