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Yakvenalex [24]
3 years ago
12

Given the following exponential function, identify whether the change represents growth or decay , and determine the percentage

rate of increase or decrease y =550(1.075)x
Mathematics
1 answer:
jenyasd209 [6]3 years ago
8 0

Answer:

It is growth and the percentage rate of increase is 7.5%

Step-by-step explanation:

The exponential equation is as follows;

y = 550(1.075)^x

Now, I can identify that the exponential equation is that of growth.

This is because what is in the bracket i.e can be represented as 1+ 0.075

The 0.075 represents the margin of increase as we move on from one value to another

The percentage rate can be gotten by expressing 0.075 as a percentage

That would be expressing is as a fraction

This is just 7.5/100 which means what we have is 7.5%

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5 0
3 years ago
Two integers, a and b, have a product of 24. What is the least possible sum of a and b?
rjkz [21]
The least possible sum is 10.

The pairs of factors for 24 are (1,24), (2,12), (3,8), (4,6) with sums 25, 14, 11, 10. So the numbers are 4 and 6.

6+4
7 0
3 years ago
Tammy baked a batch of 20 cupcakes. Daniella baked
ElenaW [278]

Multiplication is the process of multiplying. The total number of cupcakes that are produced by the 3 girls is 44.

<h3>What is multiplication?</h3>

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that Tammy baked a batch of 20 cupcakes and Daniella baked 4/5 as many cupcakes as Tammy. Therefore, the number of cupcakes made by Daniella is,

Number of cupcakes made by Daniella

= (4/5)×(Number of cupcakes made by Tammy)

= (4/5) × 20

= 16

Now, if Miko baked 1/2 as many cupcakes as Daniella. Therefore, the number of cupcakes made by Miko is,

Number of cupcakes made by Miko

= (1/2) × (Number of cupcakes made by Daniella)

= (1/2) × 16

= 8

Further, the total number of cupcakes that are produced are,

Number of cupcakes = 20 + 16 + 8 = 44

Hence, the total number of cupcakes that are produced by the 3 girls is 44.

Learn more about Multiplication here:

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8 0
1 year ago
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Vaselesa [24]

A line on this coordinate plane is horizontal when every input (x) has the same output y).

This function always gives the same output with no matter what input you put it in.

8 0
3 years ago
A map is made of a park. The scale from the park to the map is 36 mi to 6 cm. The length of Great Oaks Trail is 4.5 cm on this m
Ilya [14]

Answer:

Salamander Trail is longer than Great Oak Trail

Step-by-step explanation:

The given parameters are;

The scale of the map is 36 mi = 6 cm

The length of Great Oak Trail = 4.5 cm

The scale of a different map is 24 mi = 3 cm

The length of Salamander Trail = 3.5 cm

Therefore, we have;

The actual length of Great Oak Trail based on the first map is given as follows;

36 mi = 6 cm

6 cm = 36 mi

1 cm = 36 mi/6 = 6 mi

4.5 cm = 4.5 × 6 mi = 27 mi

The actual length of Salamander Trail based on the second  map is given as follows;

24 mi = 3 cm

3 cm = 24 mi

1 cm = 24 mi/3 = 8 mi

3.5 cm = 3.5 × 8 mi = 28 mi

Therefore, Salamander Trail with an actual length of 28 mi is longer than Great Oak Trail which has an actual length of 27 mi.

7 0
3 years ago
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