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hoa [83]
4 years ago
6

The next model of a sports car will cost 11.3% less than the current model. The current model costs $45,000. How much will the p

rice decrease in dollars? What will be the price of the next model?
Mathematics
1 answer:
valentinak56 [21]4 years ago
8 0
Hello!

To find the cost of the next model, you'll need to turn 11.3% into a decimal. You can do this by moving the decimal place to the left twice, giving you 0.113. Next, you'll need to multiply 45,000 with 0.113 to get the cost of the new model. Once you've done that, the cost of the new model should be $5058. Now to find how much it decreased, you'll need to subtract the cost of the new car from the current model.

45,000-5058

Once you've subtract 5058 from 45,000, the cost of the car should have decreased by $39,942

Recap:

Price of Next Model: $5058
Decrease By: $39,942

I hope this helps!
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How do you use the associative property to write an expression equivalent to (w+9)+3
m_a_m_a [10]

The equivalent expression for the given expression (w+9)+3 using associative property is w + 12

<u>Solution:</u>

Given that, expression is ( w + 9 ) + 3

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The associative property states that you can add or multiply regardless of how the numbers are grouped

By above definition, we get

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An old bone contains 80% of its original carbon-14. Use the half-life model to find the age of the bone. Find an equation equiva
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Answer:

An old bone contains 80% of its original carbon-14 in 1844.6479 years

Step-by-step explanation:

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now, we can use formula

P(t)=P_0(\frac{1}{2})^{\frac{t}{h} }

we can plug back h

and we get

P(t)=P_0(\frac{1}{2})^{\frac{t}{5730} }

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so,

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we can plug it and then we solve for t

0.80P_0=P_0(\frac{1}{2})^{\frac{t}{5730} }

0.80=(\frac{1}{2})^{\frac{t}{5730} }

\ln \left(0.8\right)=\ln \left(\left(\frac{1}{2}\right)^{\frac{t}{5730}}\right)

t=-\frac{5730\ln \left(0.8\right)}{\ln \left(2\right)}

t=1844.6479

So,

An old bone contains 80% of its original carbon-14 in 1844.6479 years


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