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frez [133]
3 years ago
5

The phone company charges 10 cents to connect a call for one minute and 8 cents per minute after that. How long could you talk o

n the phone for 1 dollar?
Mathematics
1 answer:
Lunna [17]3 years ago
6 0
<span>The phone company charges 10 cents to connect a call for one minute and 8 cents per minute after that. 
We call x minute to talk after the first minute.
We have 10+8x</span>≤100 (cents)
and 8x≤100-10
or 8x≤90 and x≤90:8
and x≤11.25
So: <span>How long could you talk on the phone for 1 dollar: it is 11 minute and 15 seconds</span>
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As compared to its first year of operation, ABC Company grew 8% in the second year and an additional 2% per year for the next tw
g100num [7]
<span>First year sale = 150 000 dollars,
Then it grew 8% for the second years, and 2% each year for the next 2 years.
Total growth from 2-4 years increase is 45 000 dollars
Find the growth for the year 2
=> 8% = 8/100 = 0.08
=> 150 000 x .08
=> 120 000
Thus the growth of the ABC company for the second year is 120 000, that makes it
=> 150 000 + 120 000
=> 162 000 dollars.

</span>



4 0
2 years ago
Model the data using an exponential function f(x) = Abx. HINT [See Example 1.]
zlopas [31]
We take the function as a sequence

Term 1 ⇒ 5 
Term 2 ⇒ 4
Term 3 ⇒ 3.2

Between terms, there is a common ratio of ⁴/₅
We get it from here:
Term 2 / Term 1 = \frac{4}{5}
Term 3 / Term 2 = \frac{3.2}{4} = \frac{4}{5}

When a sequence has a common ratio between term, the sequence is a Geometric Sequence

n_{th}term=ar^{n-1}
Where a is the first term, r is the common ratio, and n is the term number

We have: a=5 and r= \frac{4}{5}
The formula for the function is

f(x)=5( \frac{4}{5})^{x-1}


4 0
3 years ago
You notice a hot air balloon descending. The elevation h (in feet) of the balloon is modeled by the function h(x)=−6x+330, where
Anastasy [175]

Answer:

<h3>55 secs</h3>

Step-by-step explanation:

Given the elevation h (in feet) of the balloon modeled by the function h(x)=−6x+330, we can calculate the time it takes the balloon to reach the ground. The hot air balloon hits the ground at h(x) = 0.

Substitute h(x) = 0 into the modeled expression and find x as shown;

h(x)=−6x+330

0 = −6x+330

6x = 330

Divide both sides by 6

6x/6 = 330/6

x = 55 seconds

Hence the hot air balloon hits the ground after 55 seconds

4 0
2 years ago
In the right triangle below, tanA = 0.45. What is the approximate length of AB?
garik1379 [7]
In the right triangle ABC wherein AB is the hypotenuse, BC is the opposite and CA is the adjacent tanA=0.45. The approximate length of AB which is the hypotenuse is 22, Opposite (BC) is 9 and Adjacent (CA) is 20. You need to use pythagorean formula in getting the length of AB.

YOUR ANSWER IS (22).
6 0
3 years ago
Read 2 more answers
Animal A and Animal B each have 95% of their DNAin common. Animal A and Animal C each have 50% of their DNA in common. What does
Tpy6a [65]

Answer:

A is probably much more related to B than to C

3 0
3 years ago
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