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oksano4ka [1.4K]
3 years ago
13

Compound Interest

Mathematics
1 answer:
vitfil [10]3 years ago
4 0
Answer in file above
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Tina is planning to fence in an area for her dog. She wants to create a rectangular area of 1,600 square feet for her pet and ca
castortr0y [4]

The dimensions of the rectangular area of Tina's fence is 40 ft by 40 ft

<h3 />

<h3>Area of a rectangle:</h3>
  • area = lw

where

l = length

w = width

She wants to create a rectangular area of 1,600 square feet for her pet . Therefore,

  • area = 1600 ft²

lw = 1600

Therefore,

perimeter = 160 ft

Then,

perimeter of rectangle = 2(l + w)

160 = 2(l + w)

l + w = 80

Let's combine the equations

lw = 1600

l + w = 80

l = 80 - w

Therefore,

w(80 - w) = 1600

80w - w² = 1600

Therefore,

w² - 80w + 1600 = 0

w² - 40w - 40w + 1600 = 0

w(w - 40) - 40(w - 40) = 0

(w - 40)(w - 40) = 0

w = 40 or 40

Therefore, the dimensions can be calculated as follows:

lw = 1600

40l = 1600

l = 1600 / 40

l = 40 ft

Therefore, the dimensions are 40ft by 40 ft

learn more on algebraic model here: brainly.com/question/4151078

4 0
3 years ago
A fair die is rolled 5 times. What is the probability of rolling a three at least once
Nata [24]

Answer:

0.83333333

Step-by-step explanation:

since usually if a dice is rolled 6 times. the probability of rolling a three would be 1/6th as there are even sides on a dice and even probabilities. You would divide 5 by 6 instead of 6 by 6 meaning that the probability is 0.83333 recurring

3 0
3 years ago
Read 2 more answers
-5x+35=40<br><br>what are the steps?​
Svetlanka [38]

Answer:

Step-by-step explanation:

-5x + 35 = 40

Subract 35 from both sides -5x + 35 - 35 = 40 - 35  = (-5x = 5)

Divide -5 from both sides -5x / -5 = 5 / -5 =

x = -1

7 0
3 years ago
Read 2 more answers
A tourist being chased by an angry bear is running in a straight line toward his car at a speed of 4.00 m/s. The car is a distan
enyata [817]
S=\frac{d}{t},\ where\ s-speed,\ d-distance,\ t-time\\t=\frac{d}{S}\\\\d+37.2-bear\ distance\\\\Time\ (tourist\ tourist\ and\ bear)\ will\ be\ the\ same\ so\ we\\ should\ comparise\ them:\\\\\frac{d}{4}=\frac{d+37.2}{4.96}\\\\4.96d=4(d+37.2)\\\\4.96d=4d+148.8\\\\4.96d-4d=148.8\\\\0.96d=148.8\\\\d=155m\\\\Maximum\ value\ of\ d\ is\ 155m
3 0
3 years ago
How is factoring related to using the distributive property
xeze [42]
In the above statement, the number 3 is a common factor between the two terms in the statement, 3x and 3y. We can divide 3 into both numbers evenly. This is also called “factoring<span> out” 3. Finding the common factor allows us to apply the </span>Distributive Property<span> to the statement.
Hope this helps</span>
3 0
3 years ago
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