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jeka57 [31]
3 years ago
13

Directions: write an exponential function for each situation then give the value of the function for the specified period of tim

e.
1. during the first year operating new Taco Bell the annual sales were $165,000 and are increasing 4% annually.
f(x)=
what were the sales 6 years later?
Mathematics
1 answer:
saw5 [17]3 years ago
5 0
F(x)=165,000(1+.04)ⁿ
f(x)=165,000(1.04)⁶
or $208,777.64~
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It is reasonable for the time to be positive, 7 seconds.

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We have two fractions, 3/4 and 7/6 , and we want to rewrite them so that they have a common denominator (and whole number numera
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Answer:

12,24 etc

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4 and 6 both go into 12 evenly

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We could also use 24

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Find the recursive rule, explicit rule, and f(20)
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Answer:

Recursive:

f(1)=35, f(n)=f(n-1)+10

Explicit:

f(n)=35+10(n-1)

And the 20th term is 225.

Step-by-step explanation:

We have the sequence:

35, 45, 55, 65.

Notice that each subsequent term is 10 more than the previous term.

Therefore, our common difference is (+)10.

Recursive Rule:

The standard format for the recursive rule is:

f(n)=a, f(n)=f(n-1)+d

Where a is the initial term and d is the common difference.

From our sequence, we know that a the initial term is 35.

And as determined, our common difference d is 10.

Substitute. Hence, our recursive rule is:

f(1)=35, f(n)=f(n-1)+10

Explicit Rule:

The standard format for the explicit rule is:

f(n)=a+d(n-1)

Where a is the initial term and d is the common difference. So, let’s substitute 35 for a and 10 for d. Hence, our explicit formula is:

f(n)=35+10(n-1)

Now, let’s find the 20th term. We will utilize the explicit rule since the recursive rule can get tedious. Substitute 20 for n because we would like to 20th term. Thus:

f(20)=35+10(20-1)

Evaluate:

\begin{aligned} f(20)&=35+10(19) \\ f(20)&=35+190 \\ f(20)&=225 \end{aligned}

Hence, the 20th term is 225.

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