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Finger [1]
3 years ago
9

Two math students were asked to write an exeponential growth equations that had a starting value of 300 and a growth rate of 2%.

Pierre thinks the answer is y=300(1.02)^x and Scott thinks that the answer is y=300(1.2)^x. Are either of them right and why?
Mathematics
1 answer:
Svet_ta [14]3 years ago
8 0

Answer:

Pierre is right.

Step-by-step explanation:

A growth rate of 2% means that the values is increasing by 0.02 each year so the multiplying factor is 1.02.

Pierre is correct y = 300(1.02)^x.

Scotts  answer 1.2 = a growth rate of 20%.

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The box which measures 70cm X 36cm X 12cm is to be covered by a canvas. How many meters of canvas of width 80cm would be require
grigory [225]

Answer:

142.2 meters.  

Step-by-step explanation:

We have been given that a box measures 70 cm X 36 cm X 12 cm is to be covered by a canvas.      

Let us find total surface area of box using surface area formula of cuboid.

\text{Total surface area of cuboid}=2(lb+bh+hl), where,

l = Length of cuboid,

b = Breadth of cuboid,

w = Width of cuboid.

\text{Total surface area of box}=2(70\cdot36+36\cdot 12+12\cdot 70)

\text{Total surface area of box}=2(2520+432+840)

\text{Total surface area of box}=2(3792)

\text{Total surface area of box}=7584

Therefore, the total surface area of box will be 7584 square cm.  

To find the length of canvas that will cover 150 boxes, we will divide total surface area of 150 such boxes by width of canvass as total surface area of canvas will also be the same.

\text{Width of canvas* Length of canvass}=\text{Total surface area of 150 boxes}

80\text{ cm}\times\text{ Length of canvass}=150\times 7584\text{cm}^2

\text{ Length of canvass}=\frac{150\times 7584\text{ cm}^2}{80\text{ cm}}

\text{ Length of canvass}=\frac{1137600\text{ cm}^2}{80\text{ cm}}

\text{ Length of canvass}=14220\text{ cm}

Let us convert the length of canvas into meters by dividing 14220 by 100 as 1 meter equals to 100 cm.

\text{ Length of canvass}=\frac{14220\text{ cm}}{100\frac{cm}{m}}

\text{ Length of canvass}=\frac{14220\text{ cm}}{100\frac{cm}{m}}

\text{ Length of canvass}=\frac{14220\text{ cm}}{100}\times\frac{m}{cm}

\text{ Length of canvass}=142.20\text{ m}

Therefore, 142.2 meters of canvas of width 80 cm required to cover 150 such boxes.

5 0
4 years ago
At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path.The bicyclist headi
gizmo_the_mogwai [7]
----------------------------------------------------------------------------------------------
Find the duration
----------------------------------------------------------------------------------------------
Time : 9:00am to 10:15am 
Duration: 1hour 15 mins or 1.25hours

----------------------------------------------------------------------------------------------
Find difference in distance travelled between the two cyclists.
----------------------------------------------------------------------------------------------
Difference in speed = 6km/h
1 hour = 6 km
1.25 hours = 7.5km

----------------------------------------------------------------------------------------------
Find the distance the cyclist traveled
----------------------------------------------------------------------------------------------
42.5 - 7.5 = 35km
35km ÷ 2 = 17.5km

The slower cyclist traveled 17.5 km in the 1.25 hours

17.5 + 7.5 = 25 km

The faster cyclist traveled 25km in the 1.25 hours

----------------------------------------------------------------------------------------------
Find the speed of the slower cyclist
----------------------------------------------------------------------------------------------
1.25 hour = 17.5 km
1 hour = 17.25 ÷ 1.25
1 hour = 14km

The cyclist was traveling at 14km/h

----------------------------------------------------------------------------------------------
Find the speed of the faster cyclist
----------------------------------------------------------------------------------------------
1.25 hour = 25km
1 hour = 25 ÷ 1.25
1hour = 20 km

The cyclist was traveling at 20km/hour

----------------------------------------------------------------------------------------------
Answer: The speed were 14km/h and 20 km/h
----------------------------------------------------------------------------------------------

8 0
4 years ago
Read 2 more answers
Jessica wants to buy a purse that costs $25.00. She has already saved
jekas [21]

Answer:

$6

Step-by-step explanation:

19-25

4 0
3 years ago
Read 2 more answers
What is the unit rate of $2.98
Semenov [28]

Answer:

Step-by-step explanation:

The existence of a unit rate implies that you have TWO variables.  Here you list only one:  $.

If you pay $2.98 for 6 units of something, such as pieces of fruit, then the unit rate would be:

$2.98

----------------------- = $0.50/piece

6 pieces of fruit

7 0
4 years ago
Complete the blank with either ∈ or ∉ so that the resulting statement is true. −2​__{−6,−3,−5,−1}
Misha Larkins [42]

Answer:

−2​ ∉ {−6,−3,−5,−1}

Step-by-step explanation:

Given

Set = {−6,−3,−5,−1}

Element = -2

Required

The interpretation of the question is to state if -2 is an element of the given set or not

The first thing to do is to check through the set to count the number of occurrence of -2

Looking through Set = {−6,−3,−5,−1}, we have that the occurrence of -2 is 0

This implies that -2 is not an element of the given set and this is represented by the symbol ∉

Hence:

−2​ ∉ {−6,−3,−5,−1}

7 0
3 years ago
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