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agasfer [191]
3 years ago
5

A client would like this logo printed onto a canvas that is at least 70 inches tall. The original logo is 4.5 inches wide by 3.6

inches tall. Which of the following dimensions will keep the logo in proportion and large enough to meet the clients requirements?
Mathematics
1 answer:
vfiekz [6]3 years ago
4 0

Answer:

87.5 by 70 inches

Step-by-step explanation:

No options were given. So, I will calculate the minimum width

Given

Original\ Logo = 4.5 : 3.6

Height = 70 in ---- of the printed logo

Required

Determine the dimension that keeps the requirement

Let x be the width of the printed logo.

So, the ratio can be represented as:

Printed\ Logo = x : 70

Equate both ratios

x  : 70 = 4.5 : 3.6

As fraction

x  / 70 = 4.5 / 3.6

Multiply through by 70

70 * x  / 70 = 4.5 / 3.6* 70

x = 87.5

So, one of the dimension that meets the requirement is a width of 87.5 inches

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Step-by-step explanation:

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2 years ago
Since 2003 median home prices in Midvale, UT have been growing exponentially at roughly 4.7 % per year. If you had purchased a h
Kipish [7]

Answer:

The home would be worth $249000 during the year of 2012.

Step-by-step explanation:

The price of the home in t years after 2004 can be modeled by the following equation:

P(t) = P(0)(1+r)^{t}

In which P(0) is the price of the house in 2004 and r is the growth rate.

Since 2003 median home prices in Midvale, UT have been growing exponentially at roughly 4.7 % per year.

This means that r = 0.047

$172000 in 2004

This means that P(0) = 172000

What year would the home be worth $ 249000 ?

t years after 2004.

t is found when P(t) = 249000. So

P(t) = P(0)(1+r)^{t}

249000 = 172000(1.047)^{t}

(1.047)^{t} = \frac{249000}{172000}

\log{(1.047)^{t}} = \log{\frac{249000}{172000}}

t\log(1.047) = \log{\frac{249000}{172000}}

t = \frac{\log{\frac{249000}{172000}}}{\log(1.047)}

t = 8.05

2004 + 8.05 = 2012

The home would be worth $249000 during the year of 2012.

8 0
3 years ago
A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,420 ft Determine the​ flag's width and
ElenaW [278]
The answer is 80ft 140ft
5 0
2 years ago
The regular price of a book is $20.00. The bookstore is currently offering a 15% discount. What is the sale price of the book?
Klio2033 [76]

Answer:

17

Step-by-step explanation:

Find the discount

discount = original price * 15%

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Subtract the discount from the original price

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3 0
3 years ago
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I don’t understand how to do this problem
irga5000 [103]

Answer:

Car

Step-by-step explanation:

Well, the car is 21 feet in one second.

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The truck, however, is 18 feet per second.

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The car is faster.

3 0
2 years ago
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