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3 years ago

I need help please???

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

8 0

that anser you have highlighted it correct

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A hat that originally cost 12.50 with a 60% markup find the total cost

cluponka [151]

Answer:

$20.00 dollars will be the new cost.

Step-by-step explanation:

Multiply $12.50 and 60% to get $7.50.

$7.50 plus $12.50 is $20.00.

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2 years ago

The sales tax in your city is 8.8%, and an item costs $63.50. How much tax would you pay on that item?

Lilit [14]

Step-by-step explanation:

63.5*0.088 =5.588 tax for your answer

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2 years ago

4. a) A ping pong ball has a 75% rebound ratio. When you drop it from a height of k feet, it bounces and bounces endlessly. If t

Klio2033 [76]

First part of question:

Find the general term that represents the situation in terms of k.

The general term for geometric series is:

$a_{n}=a_{1}r^{n-1}$

$a_{1}$ = the first term of the series

$r$ = the geometric ratio

$a_{1}$ would represent the height at which the ball is first dropped. Therefore:

$a_{1} = k$

We also know that the ball has a rebound ratio of 75%, meaning that the ball only bounces 75% of its original height every time it bounces. This appears to be our geometric ratio. Therefore:

$r=\frac{3}{4}$

Our general term would be:

$a_{n}=a_{1}r^{n-1}$

$a_{n}=k(\frac{3}{4}) ^{n-1}$

Second part of question:

If the ball dropped from a height of 235ft, determine the highest height achieved by the ball after six bounces.

$k$ represents the initial height:

$k = 235\ ft$

$n$ represents the number of times the ball bounces:

$n = 6$

Plugging this back into our general term of the geometric series:

$a_{n}=k(\frac{3}{4}) ^{n-1}$

$a_{n}=235(\frac{3}{4}) ^{6-1}$

$a_{n}=235(\frac{3}{4}) ^{5}$

$a_{n}=55.8\ ft$

$a_{n}$ represents the highest height of the ball after 6 bounces.

Third part of question:

If the ball dropped from a height of 235ft, find the total distance traveled by the ball when it strikes the ground for the 12th time. 

This would be easier to solve if we have a general term for the <em>sum </em>of a geometric series, which is:

$S_{n}=\frac{a_{1}(1-r^{n})}{1-r}$

We already know these variables:

$a_{1}= k = 235\ ft$

$r=\frac{3}{4}$

$n = 12$

Therefore:

$S_{n}=\frac{(235)(1-\frac{3}{4} ^{12})}{1-\frac{3}{4} }$

$S_{n}=\frac{(235)(1-\frac{3}{4} ^{12})}{\frac{1}{4} }$

$S_{n}=(4)(235)(1-\frac{3}{4} ^{12})$

$S_{n}=910.22\ ft$

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2 years ago

Identify the initial amount a and the growth or decay factor b in the exponential function. y = 0.01025^x

Nastasia [14]

Answer:

The initial amount a = 1

The growth or decay factor = 0.01025

Step-by-step explanation:

The exponential function.

y = 0.01025^x

The initial amount a = 1

The growth or decay factor = 0.01025

The exponential equation can be rewritten as Y = 1(0.01025)^x

8 0

3 years ago

W(x) = 3x; find (-3x)

Mashutka [201]

So this means W(-3x) = 3x. So it's equal to 3(-3x), which simplifies to be -9x. Whenever you have a function, it looks like f(x). f doesn't have to be the letter, it can be a, b, c, or like in this case, W. It just means the output of what W(x) is if x equals the number in the parentheses, which is -3x in this case.

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3 years ago