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mart [117]
3 years ago
9

Given the following exponential function, identify whether the change represents

Mathematics
1 answer:
elixir [45]3 years ago
7 0

Answer:  The change represents  growth with 89% of growth rate.

Step-by-step explanation:

The exponential function is given by :-

f(x)= Ab^x... (i)

Where , A = initial value , b= multiplicative factor and  x= time period

  • We call 'b' growth factor when b>1, we can write b= 1+r , where r is the rate of growth.
  • We call 'b' decay factor when b<1 , we can write b= 1-r , where r is the rate of decay.

The given function : y = 940(1.89)^x.

By comparing this to (i) , we get

b= 1.89 > 1 , thus it represent the growth.

Also,

b= 1+r\Rightarrow\ 1.89 = 1+r\\\\\Rightarrow\ r=1.89-1=0.89

i.e. Percentage rate of growth = 0.89 x 100 = 89%.

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How many square inches are 9 cubes with a 1 inch edge
ki77a [65]
Add it up then you will get answer

4 0
2 years ago
Emily has the following grades in his math class: Homework grades: 80, 100, 90, Quiz grades: 84, 90, 72, Test grades: 64,
Bess [88]

Answer:

75

Step-by-step explanation:

Homework mean x 10%: (80+100+90)/3 x 0.1 = 90 x 0.1 = 9

Quiz mean x 25%: (84+90+72)/3 x 0.25 = 20.5

Test mean x 45%: (64+72)/2 x 0.45 = 30.6

Sum of means/percentage of grade: 9 + 20.5 + 30.6 = 60.1/.8 = 75.125

8 0
2 years ago
If we wanted to prove quadrilateral MNOP was a parallelogram, which method below would not work?
rjkz [21]

Answer:

The correct option is 4.

4) Doing two distance formulas to show that adjacent sides are not the same length.

Step-by-step explanation:

Parallelogram is a quadrilateral which has opposite sides equals and parallel. Example of a parallelogram are rhombus, rectangle, square etc.

We can prove that a quadrilateral MNOP is a parallelogram. If we find the slopes of all four sides and compare those of the opposite ends, same slopes would indicate the opposite sides are parallel, hence the quarilateral is a parallelogram. We can also find the distance of two opposing sides, and slopes of twp opposing sides to determine whether it is a parallelogram or not. The most difficult approach is that diagonals bisect each other at same point.

However, using only two distance formulas will not give us enough information to determine whether a side is parallel or not.

7 0
3 years ago
Select the correct answer from the drop-down menu.
LenKa [72]

Answer:

D

Step-by-step explanation:

Got 100%

7 0
2 years ago
After driving 152 ​km, 4/5 of a trip is completed. How long is the total​ trip? How many more kilometers must be driven to compl
nikitadnepr [17]

Answer:

1. Total Trip Distance = 190 kilometers

2. To complete the trip, 38 more kilometers left


Step-by-step explanation:

1.

Let total trip be x kilometers.

So we can say

<em>"152 is \frac{4}{5} of total" --- this into equation is:</em>

152=\frac{4}{5}x\\x=\frac{152}{\frac{4}{5}}\\x=190


Total trip is 190 km.


2.

Since already driven 152, to complete 190, you have to drive  190-152=38 kilometers more.

So, 38 more kilometers to complete the trip.

7 0
3 years ago
Read 2 more answers
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