If h = 19 inches, l = 28 inches, and w = 14 inches, what is the area of the figure shown above? A. 665 square inches B. 658 square inches C. 308 square inches D. 924 square inches

Given:

The number of alligators in a wildlife is given by the function

[tex]f(x)=3450(1.04)^{x+1}[/tex]

To find:

The average growth rate of change from the 4th year to the 7th year.

Solution:

We have,

[tex]f(x)=3450(1.04)^{x+1}[/tex]

For x=4, we get

[tex]f(4)=3450(1.04)^{4+1}[/tex]

[tex]f(4)=3450(1.04)^{5}[/tex]

[tex]f(4)=4197.4525[/tex]

For x=7, we get

[tex]f(7)=3450(1.04)^{7+1}[/tex]

[tex]f(7)=3450(1.04)^{8}[/tex]

[tex]f(7)=4721.5632[/tex]

Now, the average growth rate of change from the 4th year to the 7th year is

[tex]m=\dfrac{f(7)-f(4)}{7-4}[/tex]

[tex]m=\dfrac{4721.5632-4197.4525}{3}[/tex]

[tex]m=\dfrac{524.1107}{3}[/tex]

[tex]m\approx 174.70[/tex]

Therefore, the average growth rate of the change from the 4th year to the 7th year is 174.70 per year.

Answer:

5 < x (number)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

PV(1+i)^n

2000(1+.015)^x

2000(1.015)^x

A

Answer:

The answer is B: 0.088

Step-by-step explanation:

22/25, multiply both sides by 4 to get 88/100

88% is 88/100

0.88 is 88/10

Answer: y = 14^x

Step-by-step explanation:

Here the options are:

a y = 14^x

b y = -3*(17)^x

c y = 120x

d y = -275x

to see which function increases the fastest (or which function is steeper) we need to look at the first derivations of each one of these, and see which one is larger for every value of x:

the derivations are:

a y = x*14^(x - 1)

b y = -x*3*(17)^(x  - 1)

c y = 120

d y = -275

So we can already discard options c and d, because have constant rate of change.

Then we keep options a and b.

Always when we have an exponential function, like a^x and b^x

The one with the larger base will be steeper.

So if a > b, then:

a^x is steeper than b^x

In this case, the function:

y = -3*(17)^x

has a larger base, but, this function is negative.

This means that as x increases, our function will decrease, then this function will not "increase the fastest" (because it does not increase)

Then the left option (a: y = 14^x)

Will be the correct one.

(this will happen after some value of x, because two of the options have constant derivatives, these may be steeper for smaller values of x, and as x increases, we will see that y = 14^x is the one that increases the fastest)

Answer: 0.75 Is bigger

Step-by-step explanation:

0.7 is 0.70

meaning 0.75 is bigger.

Answer:

.75 is larger

Step-by-step explanation:

Think about it in terms of whole number. 75 is greater than 70, therefore .75 is greater than .70

There is a hidden 0 after the .7

may be the answer is :4g-2=8 ^-^

but donot depend in this answer it's not sure okay

Answer:

el cerebro quizas no se puede ser

Answer:

-12

Step-by-step explanation:

12 - 15 = -3

4 ( -3 )

= -12

Answer: -12

Step-by-step explanation:

We have 4[12 -15]

Next, we have subtract in the parentheses since it's part of PEDMAS

12-15

After that, we get -3. Whenever a you multiply a whole number with a negative number, the whole becomes negative.

12- 15= -3

And Lastly, we multiply.

4x -3= -12

Hope this helps!

Answer:

sorry sorry  sorry sorry sorry sorry sorry sorry sorry sorry sorry sorry sorry sorry sorry sorryStep-by-step explanation: i dont kno w

Answer: (-5,1)

Step-by-step explanation: that should be right

Answer: Around 1.33 Cups per batch

Step-by-step explanation:

4 / 3 ≈ 1.33

Answer:

1 1/3

Step-by-step explanation:

Math

Answer:

34°

Step-by-step explanation:

complementary means they equal 90° so you just have to subtract 56 from 90 and then you get your answer.

Answer:

Step-by-step explanation:

Answer:

tangent; inverse; 28.6

Step-by-step explanation:

You have given two legs;

You would use the inverse function, you are not given an angle;

g is about 28.61 degrees

Answer:

160 .........................................................................

Answer:

The table shows that:

Therefore the line has a positive slope

Answer:

360

Step-by-step explanation:

Answer:

The answer is D. 24

Step-by-step explanation:

there are 6 atoms of Carbon, 12 atoms of Hydrogen, and 6 atoms of Oxygen.

If you add them together: 6 + 12 + 6 +24

Answer:

Its A

Step-by-step explanation:

Answer:10

Step-by-step explanation:

Answer:

the answer is 159 dollars in total

Step-by-step explanation:

good luck guys

Answer:

(C) Sophie used the wrong height for the pyramid.

Step-by-step explanation:

she should have subtracted 4 from 30 because that was apart of the prism

The total volume is 7448  cubic millimeters. Sophie has made mistake in copying height of pyramid.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, a rectangular prism with a length of 28 millimeters, width of 21 millimeters, and height of 4 millimeters.

Volume of rectangular prism = Length×Width×Height

= 28×21×4

= 2352 cubic millimeters

A rectangular pyramid with a base of 28 millimeters by 21 millimeters and height of 26 millimeters.

Volume of a rectangular pyramid = (lwh)/3

= (28×21×26)/3

= 15288/3

= 5096 cubic millimeters

Total volume = 2352+5096

= 7448  cubic millimeters

Hence, Sophie has made mistake in copying height of pyramid.

To learn more about the volume visit:

https://brainly.com/question/13338592.

#SPJ3

Answer:

$2690.28

Step-by-step explanation:

2862 decrease 6% =

2862 × (1 - 6%) = 2862 × (1 - 0.06) = 2690.28

Answer:

2700

Step-by-step explanation:

106%-> 2862

100%->2700

Answer:

9) c) 1

10) c) 215

Step-by-step explanation:

Step:1

Given that the expression

      [tex]\frac{31+r}{2} - \frac{9r-5}{4}[/tex]

Put r = 9

 =    [tex]\frac{31+9}{2} - \frac{9(9)-5}{4}[/tex]

 =  [tex]\frac{40}{2} -\frac{76}{4}[/tex]

=   20 - 19

=1

Step(ii):-

Given that

[tex]\frac{5(4r-16)}{5} +13(3r-12)[/tex]

Put r = 9

=  [tex]\frac{5(4(9)-16)}{5} +13(3(9)-12)[/tex]

=  20 + 13(15)

= 215

Answer:

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Step-by-step explanation: