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katrin [286]
3 years ago
9

A cable company uses the formula S = 20,000 (1 + 0.08)^y to estimate the number of subscribers, S, that use their service after

y years. If there were 20,000 cable television subscribers when the cable company began, what is the meaning of the expression (1 + 0.008) ^y?
Mathematics
1 answer:
STatiana [176]3 years ago
3 0

Answer:

the expression above is

y = Subscribers after time t = S

a = Initial Subscribers =20,000

r = Growth rate = 0.08 = 8%

t = time in years = y

Step-by-step explanation:

A cable company uses the formula S = 20,000 (1 + 0.08)^y to estimate the number of subscribers, S, that use their service after y years. If there were 20,000 cable television subscribers when the cable company began, what is the meaning of the expression (1 + 0.008) ^y?

The above question represents Exponential growth

Exponential growth formula =

y = a( 1 + r) ^t

Where:

y = Population after time t

a = Initial Population

r = Growth rate

t = time in years

S = 20,000 (1 + 0.08)^y

Hence, the expression above is

y = Subscribers after time t = S

a = Initial Subscribers =20,000

r = Growth rate = 0.08 = 8%

t = time in years = y

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the school auditorium seats 130 people. For a particular performance, the number of seats reserved for students is 25 are more t
Lady bird [3.3K]
Since we are trying to find the adult seats, we'll set that to x.  Now the student section is 2x + 25.  The total seats is 130 which is the student section and adult section added together.  So now we can write an equation from the information given...

Students + adults = 130
(2x + 25) + x = 130
2x +25 +x = 130
2x + x + 25 = 130
3x + 25 = 130
3x = 130 - 25
3x = 105
x = 105/3 = 35

So there are 35 adult seats (remember we set adults to x)

Now we substitute back into the equation to find the students seats. As you recall students = 2x + 25

Students = 2x + 25
Students = 2(35) + 25
Students = 70 + 25
Students = 95

There are 95 student seats and 35 adult seats.
7 0
3 years ago
A cell phone cost $210 a battery charger costs $15 and batteries cost $5 .what is the sales tax and total price for purchasing t
Savatey [412]

The total price with sales tax is $ 246.1

<h3><u>Solution:</u></h3>

Cost of cellphone = $ 210

Cost of battery charger = $ 15

Cost of batteries = $ 5

So total cost can be calculated by adding cost of cellphone and Cost of battery charger and Cost of batteries

Total cost = 210 + 15 + 5 = $ 230

Given that sales tax is 7%

sales tax = 7% of total cost

sales tax = 7 % of 230

\text {sales tax }=\frac{7}{100} \times 230=16.1

Total cost including sales tax = 230 + 16.1 = $ 246.1

Thus the total price with sales tax is $ 246.1

3 0
3 years ago
00:00
Mariulka [41]

Answer:

2/8 + 3/8 +3/8 = 8/8

They finished the wall

4 0
4 years ago
A person casts a shadow that aligns with a shadow of a tree. the person is 5.5 feet tall and casts a shadow 8.25 feet long. the
SOVA2 [1]

An equation that can be used to determine the tree's height is 22.5/8.25 = x/5.5.

The height of this tree is equal to 15 feet.

The distance of this person from the tree is equal to 14.25 feet.

<h3>What are the properties of similar triangles?</h3>

In Geometry, two (2) triangles are similar when the ratio of their corresponding sides are equal in magnitude and their corresponding angles are congruent.

Additionally, two (2) geometric figures are considered to be congruent only when their corresponding side lengths are congruent and the magnitude of their angles are congruent.

Now, we can write an equation that can be used to determine the tree's height. Since the ratio of the corresponding sides of similar triangles are equal in magnitude, we have the following mathematical expression (equation):

22.5/8.25 = x/5.5

Where:

x represents the height of the tree.

<h3>How tall is the tree?</h3>

22.5/8.25 = x/5.5

Cross-multiplying, we have:

8.25x = 22.5 × 5.5

8.25x = 123.75

x = 123.75/8.25

x = 15 feet.

<h3>How far is the person standing from the tree?</h3>

The distance of this person from the tree can be calculated as follows;

Distance = Length of tree's shadow - Length of person's shadow

Distance = 22.5 - 8.25

Distance = 14.25 feet.

Read more on corresponding side here: brainly.com/question/11920446

#SPJ1

7 0
1 year ago
What is the correct algebraic expression for the verbal expression "13 less than twice a number"?
zloy xaker [14]

Answer:

2x - 13

Step-by-step explanation:

4 0
3 years ago
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