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Katyanochek1 [597]
2 years ago
12

Juanita is measuring a table for her dining room. Table area is 46 7/8 square feet. Table length is 7 1/2 feet. She does not wan

t to purchase a table more than 6 feet wide. Should she purchase the table? Why or why not?
Mathematics
1 answer:
Anastaziya [24]2 years ago
5 0
No. If you still want the  46 7/8 square foot table and less than 6ft wide than the table length must be greater than 7 1/2 feet long. For the math to work out. Because, the 7 1/2 foot long table would need a 6 1/4 wide table to fit the 46 7/8 square foot.
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A teacher decides to purchase a new car and considers two options. Option one is the new Zoomba for $60,000 with an expected dep
kupik [55]

Answer:

She chose Option 2 which is a linear option, because it offers a smaller lose    

in value compared to option 1 which is an exponential option.

The final value for option 2=$32,800

Step-by-step explanation:

Option 1

New Zoomba for 60000 with a depreciation rat of 2%per month for 3 years

Exponential equation;

y=a(1-r)^t

where;

y=future value

a=initial value=60000

r=depreciation rate=2% per month

t=time interval=12×3=36 months

Replacing;

y=60000(1-2/100)^36

y=60000(0.98)^36=28,992.79

The value after 3 years=$28,992.79

Initial value-Final value=(60000-28992.79)=$31007.21

Percentage of initial value lost=((Final value-Initial Value)/(Initial Value))×100

(31007.21/60000)×100=51.68%

Option 2

New starfish for $40,000 with a depreciation of $200 per month for 3 years

Linear equation;

y=a-bt

where;

y=Future value

a=Initial value=$40,000

b=the depreciation amount per time interval=$200 per month for 3 years

t=time interval=(3×12)=36 months

Replacing;

y=40000-(200×36)

y=32,800

Final value=y=$32,800

Initial value-Final value=(40000-32800)=$7200

Percentage of initial value lost=((Final value-Initial Value)/(Initial Value))×100

(7200/40000)×100=18%

Option 1(51.68%)>Option 2(18%) therefor Option 1 loses value at a faster rate than Option 2

She chose Option 2 which is a linear option, because it offers a smaller lose    

in value compared to option 1 which is an exponential option

4 0
2 years ago
Benjamin is riding a unicycle. The tire of his unicycle has a circumference of 2.8 \text{ m}2.8 m2, point, 8, start text, space,
Karo-lina-s [1.5K]

Answer:

420 meters

Step-by-step explanation:

Q. Benjamin is riding a unicycle. The tire of his unicycle has a circumference of 2.8 m, and the tire revolves 1.5 times per second. What is the distance Benjamin travels in 100 seconds?

<u>Given</u>:

Circumference of circular tire = 2.8 meters

Tire revolves per second = 1.5 times

<u>Question asked:</u>

What is the distance Benjamin travels in 100 seconds?

<u>Solution:</u>

Circumference of circular tire means distance covered by the unicycle's tire when it revolves 1 time that is 2.8 meters.

<em><u>Now, by unitary method:</u></em>

In 1 second, tire revolves = 1.5 times

In 100 seconds, tire revolves =  1.5 \times 100

                                                = 150 times

Distance covered by the tire when it revolves 1 time = 2.8 m

Distance covered by the tire when it revolves 150 times = 2.8 \times 150

                                                                                             = 420 meters

Therefore, Benjamin travels 420 meters in 100 seconds.

8 0
2 years ago
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Selena’s snow cones stand sells Small snowcones for $2 dollars and large snow comes for $3.50 one summer day she sold $163 worth
grandymaker [24]
She sold 34 large ones and 22 small ones

8 0
2 years ago
14.75x - 2.3 = 5.25x + 45.2
Cerrena [4.2K]
14.75x - 23=5.25x+45.2
14.75x-23-5.25x=5.25x+45.2-5.25x
14.75-5.25x=9.5
9.5x-23=45.2
9.5x-23+23=45.2+23
9.5x=68.2
9.5x/9.5=68.2/9.5
x=7.178947
3 0
2 years ago
Read 2 more answers
Apple stock rose from $75 per share on January 1, 2013 to $109 per share on January 1, 2015. During the same period, Microsoft s
qaws [65]
What’s the question??
7 0
2 years ago
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