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nevsk [136]
3 years ago
7

Explain how you would find the product of 20 to the power of 12 and 20 to the power of 8. Include either the exponent rule or th

e expanded method in your explanation. Give your answer in exponential form.
Mathematics
1 answer:
Shalnov [3]3 years ago
8 0

Answer:

See explanation below

Step-by-step explanation:

Using the exponent rule for products:

x^a\,*\,x^b = x^{(a+b)}

we can write:

20^{12}\,*\,20^8=20^{(12+8)}=20^{20}

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Sven got a $150 gift card function A(n) 150 12.30n gives the amount of money left on the gift card after n number of visits to t
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Answers:

1. The n-intercept is 12. That means after 12 visits the amount of money on the gift car is $0.  

2. The A(n)-intercept is 150. Before the visits, the amount of money on the gift car is $150.


Solution:

Amount of money on the gift card after n number of visits: A(n)=$150-$12.50 n

A(n)=150-12.50 n

1. n-intercept

A(n)=0→150-12.50 n =0

Solving for n: Subtracting 150 both sides of the equation:

150-12.50 n-150 = 0-150

-12.50 n = -150

Dividing both sides of the equation by -12.50:

(-12.50 n) / (-12.50) = (-150) / (-12.50)

n=12

The n-intercept is n=12; for n=12→A(12)=0. Point (n, A(n))=(12,0)


2. A(n) intercept

n=0→A(0)=150-12.50 (0)

A(0)=150-0

A(0)=150

The A(n) intercept is 150; for n=0→A(0)=150. Point (n, A(n))=(0,150)

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