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3 years ago

Need help plz it's hard

Mathematics

1 answer:

Aleksandr [31]3 years ago

3 0

It will be 220 dollars. You add the cost of the mold and the cost of the wax and then you take the sum and multiply it by how many candles you are making which in this case is 8. So when you do all those steps, you get $220. So, $220 is the cost of 8 candles.

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You purchase a stereo system for $830. The value of the stereo system decreases 13% each year. a. Write an exponential decay mod

lorasvet [3.4K]

Answer:

a. $y=830*(0.87)^x$

b. The value of stereo system after 2 years will be $628.23.

c. After approximately 4.98 years the stereo will be worth half the original value.

Step-by-step explanation:

Let x be the number of years.

We have been given that you purchased a stereo system for $830. The value of the stereo system decreases 13% each year.

a. Since we know that an exponential function is in form: $y=a*b^x$ , where,

a = Initial value,

b = For decay b is in form (1-r), where r is rate in decimal form.

Let us convert our given rate in decimal form.

$13\%=\frac{13}{100}=0.13$

Upon substituting our given values in exponential decay function we will get

$y=830*(1-0.13)^x$

$y=830*(0.87)^x$

Therefore, the exponential model $y=830*(0.87)^x$ represents the value of the stereo system in terms of the number of years since the purchase.

b. To find the value of stereo system after 2 years we will substitute x=2 in our model.

$y=830*(0.87)^2$

$y=830*0.7569$

$y=628.227\approx 628.23$

Therefore, the value of stereo system after 2 years will be $628.23.

c. The half of the original price will be $\frac{830}{2}=415$ .

Let us substitute y=415 in our model to find the time it will take the stereo to be worth half the original value.

$415=830*(0.87)^x$

Upon dividing both sides of our equation by 830 we will get,

$\frac{415}{830}=\frac{830*(0.87)^x}{830}$

$0.5=0.87^x$

Let us take natural log of both sides of our equation.

$ln(0.5)=ln(0.87^x)$

Using natural log property $ln(a^b)=b*ln(a)$ we will get,

$ln(0.5)=x*ln(0.87)$

$\frac{ln(0.5)}{ln(0.87)}=\frac{x*ln(0.87)}{ln(0.87)}$

$\frac{ln(0.5)}{ln(0.87)}=x$

$\frac{-0.6931471805599}{-0.139262067}=x$

$x=4.977286\approx 4.98$

Therefore, after approximately 4.98 years the stereo will be worth half the original value.

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3 years ago

Ed spoke to his cousin in Australia, who told him it was 28 degrees Celsius that day. Ed wasn’t sure if that was hot or cold, so

Allisa [31]

Answer:

Step-by-step explanation:

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2 years ago

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Identify an equation that models the situation and find its solution. Kane planned to build a 53-centimeter-tall model of a buil

alex41 [277]

Answer:

The increment in the model is 106cm

Step-by-step explanation:

Given

$Initial\ Height = 53cm$

$Final\ Height = 159cm$

Required

Determine the increment

To do this, we simply subtract the initial height of the building from the final height

$Increment = Final\ Height - Initial\ Height$

$Increment = 159cm - 53cm$

$Increment = 106cm$

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Answer:

C) 4

Step-by-step explanation:

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I think that is the letter (a)

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