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dexar [7]
3 years ago
7

Please help me answer #4, #5 and #6

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
7 0

Answer:

4). The Washington Monument is 169.2-m tall.

Step-by-step explanation:

4). We know this because...

person     1.8       0.7

----------  = -----  = -------

Wash.        x       65.8

We then know to cross-multiply to get:  

1.8(65.8) = 0.7x

Which simplifies down to:

118.44 = 0.7x

x = 169.2

Answer:

5). The pond is 180ft wide.

Step-by-step explanation:

5). We know this because...

90       120

-----  = -------

135        x

We then know to cross-multiply to get:

90x = 120(135)

Which simplifies down to:

90x = 16200

x = 180

Answer:

6). The height of the clock tower is 13ft 9in.

Step-by-step explanation:

6). We know this because...

person       5.5         4

----------  =  --------  = -----

clock            x          10

We then know to cross-multiply to get:

5.5(10) = 4x

Which simplifies down to:

55 = 4x

x = 13.75 (13 ft 9 in)

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Melissa Costouras obtains a $3,000 loan for darkroom equipment. She makes six monthly payments of $511.18. Determine the APR.
nasty-shy [4]

Using the simple interest formula, it is found that the APR for the loan is of 4.472%.

<h3>What is the simple interest formula and when it is used?</h3>

Simple interest is used when there is a single compounding per time period.

The amount of money after t years in is modeled by:

A(t) = A(0)(1 + rt)

In which:

  • A(0) is the initial amount.
  • r is the interest rate, as a decimal.

The parameters for this problem are:

A(t) = 6 x 511.18 = 3067.08, A(0) = 3000, t = 0.5.

We solve the equation for r to find the APR.

A(t) = A(0)(1 + rt)

3067.08 = 3000(1 + 0.5r)

1 + 0.5r = \frac{3067.08}{3000}

1 + 0.5r = 1.02236

r = (1.02236 - 1)/0.5

r = 0.04472.

More can be learned about simple interest at brainly.com/question/25296782

#SPJ1

5 0
1 year ago
State whether the number is a solution to the given inequality<br><br>7/12 &gt; 9/16​
prisoha [69]

Answer:where the numbers ? like a.3,b.5 somethin like that

Step-by-step explanation:

but its True

7/12>9/167

0.583333>0.053892

true

3 0
3 years ago
Select ALL the correct answers.
IgorC [24]

Answer:

A. 4(x - 4) + 2(3x² + 3x - 20)

C. (11x² + 7x - 55)-(5x² - 3x + 1)

F. (3x² + 5x - 28) + (3x² + 5x - 28)

Step-by-step explanation:

Given:

(3x-7)(2x+8)

= 6x² + 24x - 14x - 56

=6x² + 10x - 56

A. 4(x - 4) + 2(3x² + 3x - 20)

= 4x - 16 + 6x² + 6x - 40

= 6x² + 10x - 56

B. (3x² + 5x - 28) - (2x² + 4x + 28)

= 3x² + 5x - 28 - 2x² - 4x - 28

= x² + x - 56

C. (11x² + 7x - 55)-(5x² - 3x + 1)

= 11x² + 7x - 55 - 5x² + 3x - 1

= 6x² + 10x - 56

D. 4(x - 4) - 2(3x² + 3x - 20)

= 4x - 16 - 6x² - 6x + 40

= - 6x² - 2x + 24

E. (11x² + 7x - 55)-(5x² - 3x + 2)

= 11x² + 7x - 55 - 5x² + 3x - 2

= 11x² - 5x² + 7x + 3x - 55 - 2

= 6x² + 10x - 57

F. (3x² + 5x - 28) + (3x² + 5x - 28)

= 3x² + 5x - 28 + 3x² + 5x - 28

= 6x² + 10x - 56

7 0
2 years ago
How do I make 24/9 into a mixed number
wlad13 [49]

U divide 24 to 9, which is not going to be an exact number, but you can do 9times2=18 so then if you do it in a long division bar you will put 2 on top then minus 18 from 24 which will give you 6, then ur answer is going to be 2 6/9 the nine stays the same (the denominator stay put)

HOPE IT HELPS :)

7 0
3 years ago
Which ratios are less than 8 to 10? Check all that apply.
kenny6666 [7]
3:5 and 50/100
Are both less than 8:10

16/20 is the same as 8:10 and 13/15 is more than
6 0
3 years ago
Read 2 more answers
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