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Alexxandr [17]
2 years ago
5

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

ierre 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:
Gemiola [76]2 years ago
5 0

Answer:

Pierre is right

Step-by-step explanation:

The correct formula for Exponential growth rate is given as:

y = a( 1 + r) ^t

Where

y = Amount after time t

a = Initial amount

r = Growth rate

t = time

From the question

a = 300

r = 2% = 0.02

Hence, our exponential growth rate =

y = 300( 1 + 0.02)^t

y = 300( 1.02)^t

Therefore, Pierre is right

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The perimeter of a parallelogram is 72 meters. The width of the parallelogram is 4 meters less than it length. Find the length a
lesya [120]

P = L + L + w + w

72 = 2(L) + 2(L-4)

Distribute

72 = 2(L) + 2(L) - 8

Add like terms

72 = 4(L) - 8

Subtract 8 from both sides

64 = 4(L)

Divide both sides by 4

16 = L

The length is 16. Now substitute that in the equation for finding w.

w = L - 4

w =

4 0
3 years ago
What is the value of k used to find the coordinates of a point that partitions a segment into a ratio of 5:3. Please Explain.
Dafna11 [192]

Answer:

The value of k is 5/8

Step-by-step explanation:

The value of k is found by dividing the numerator of the original ratio, 5, by the sum of the numerator and denominator of the ratio

When finding a point, P, to partition a line segment AB into the ratio a/b, we find a ratio c = a / (a + b)

According to this formula we find the value of k.

k = a/(a+b)

where a = 5

b = 3

Now plug the values in the formula:

k = 5/(5+3)

k = 5/8 ....

4 0
3 years ago
For the figures below, assume they are made of semicircles, quarter circles and squares. For each shape, find the area and perim
ICE Princess25 [194]

Answer:

Part a) The area of the figure is \frac{9}{2}(4+\pi )\ cm^{2}

Part b) The perimeter of the figure is 3(2+2\sqrt{2}+ \pi)\ cm

Step-by-step explanation:

Step 1

Find the area of the figure

In this problem we have that

The figure ABC is the half of a square and the other figure is a semicircle

<u>Find the area of the figure ABC</u>

we have

AB=6\ cm, BC=6\ cm

The area of the half square ABC is equal to find the area of triangle ABC

so

A1=\frac{1}{2}*6*6=18\ cm^{2}

<u>Find the area of the semicircle</u>

The area of the semicircle is equal to

A2=\pi r^{2}/2

we have that

r=6/2=3\ cm

substitute

A2=\pi (3)^{2}/2

A2=(9/2) \pi\ cm^{2}

The area of the figure is equal to

18\ cm^{2}+(9/2) \pi\ cm^{2}= \frac{9}{2}(4+\pi )\ cm^{2}

Step 2

Find the perimeter of the figure

The perimeter of the figure is equal to

P=AB+AC+length\ CB

we have

AB=6\ cm

Applying Pythagoras theorem

AC=\sqrt{6^{2}+6^{2}}\\AC=6\sqrt{2}\ cm

Remember that

the circumference of a semicircle is equal to

C=\frac{1}{2}2\pi r=\pi r

r=6/2=3\ cm

C=\pi(3)

C=3 \pi\ cm

The perimeter of the figure is equal to

P=6\ cm+6\sqrt{2}\ cm+3 \pi\ cm

Simplify

P=3(2+2\sqrt{2}+ \pi)\ cm

5 0
3 years ago
A truck is painting traffic lines along a highway.The truck paints 8 miles of lines in 3 hours.At that rate, how many miles can
bekas [8.4K]
The answer would be 32 miles (I think) if you set up a proportion you should get this answer.
7 0
3 years ago
Read 2 more answers
Please help me im doing a test
Reptile [31]

Answer:

D I think

Step-by-step explanation:

5 0
3 years ago
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