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g100num [7]
2 years ago
15

What is a, the initial amount, for the function: f(x) = 300(1.16)*?

Mathematics
1 answer:
jeka942 years ago
6 0
<h3>Answer:   300</h3>

====================================================

Explanation:

One general template of exponential functions is

f(x) = a*(b)^x

The 'a' is the initial amount, which in this case is a = 300

----------------------

Extra info:

The b is the base of the exponential, which is b = 1.16

The value of b is helpful to determine if you have exponential growth or decay, and how much of either. Because b = 1.16 is greater than 1, it indicates exponential growth. The rate of growth is found by solving 1+r = 1.16 to get r = 0.16, which leads to 16% growth.

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Jessica made plans to weave a rectangular jute rug, but she needs to update the plans to change the dimensions of the rug. The o
loris [4]

Answer:

Length of rug in original design is 36 inches .

Width of rug in original design is  60 inches .

The problem says that the new design has length 3x inches longer  and x inches wider than the rug in the original plans .

New length of rug would be 3x inches longer than the original design  which is 36 inches .

Thus new length of rug is  ( 3x + 36  )  inches .

New width of rug is x inches wider than the rug in the original plans which is 60 inches in original plan .

Thus new width of rug is   ( x + 60   )   inches .

Area of rectangle is  Length * Width  

Area of new rug is   ( 3x + 36 ) * ( x + 60 )

We distribute the terms using FOIL method .

( 3x + 36 ) *( x + 60 )  = 3x ( x + 60 ) + 36 ( x + 60 )

                                    =  3x² +  3x * 60  + 36 x  + 36 * 60

                                    =   3x²  + 180 x + 36 x + 2160

    Combining like terms ,  3x² + 216 x + 2160

Thus the area of the rug with the new dimensions is

( 3x + 36) ( x + 60 )  = 3x² + 216 x + 2160 .

7 0
2 years ago
Read 2 more answers
5. Jared collected data on the ages and heights of a random
Zepler [3.9K]
Now,  as you grow older,  most people get TALLER,  right?  So,  when both items move up,  it is positive correlation.  Now,  there are those few special ones who break the law of growing,  nah just kidding.  It's C :)
6 0
3 years ago
20+8(x-11)=-12 answer and how to solve it?
Eddi Din [679]

Answer: x=7

Step-by-step explanation:

To solve for x, you want to use algebraic properties.

20+8(x-11)=-12                  [distribute]

20+8x-88=-12                   [combine like terms]

8x-68=-12                          [add both sides by 68]

8x=56                                [divide both sides by 8]

x=7

Now we know that x=7.

6 0
2 years ago
What’s the total surface area of the triangle prism
telo118 [61]
First you have 2 triangles and 3 rectangles so you will get the area of 5 of them

for the first face of rectangle
2.5x10=25

second face
2x10=20

for the third rectangle which is the base
10x1.5=15

for the two triangles

1/2xBasexHeight
1/2x1.5x2=1.5 ——> this is for one triangle so multiply by 2 to get both triangles
1.5x2=3

so the total surface area is equal to 3+25+20+15=63
4 0
2 years ago
Please someone help me... I have my state test tomorrow and I don't know how to do this.
LUCKY_DIMON [66]

Answer: 3.8

Step-by-step explanation:

First, solve 9.30 x 10^7 to find the length of an astronomical unit.

10^7 = 10000000

9.30x10000000=93000000 miles

next, solve for the distances the sun is from Jupiter and Mars,

10^8 = 100000000

1.42x100000000=142000000 miles

4.84x100000000=484000000 miles

next, subtract the distances

484000000-142000000=342000000 miles

then, divide the sum by 93000000 to find the amount in astronomical units.

342000000/93000000=3.677419

finally, round to the nearest hundred

3.68

3 0
2 years ago
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