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MAXImum [283]
2 years ago
13

An algal population on the surface of a pond grows by 10% every day. The area it covers can be modelled by the equation y=k$1.1t

, where tis measured in days, starting from 09:00 on Tuesday, when the algae covered 10 m2. What area will it cover by 09:00 on Friday?
Mathematics
1 answer:
Nata [24]2 years ago
8 0

Answer:

Step-by-step explanation:

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Ezra works two summer jobs to save for a laptop that costs at least $1100. He charges $15/hr to mow lawns and $10/hr to walk dog
777dan777 [17]

The first step is to ignore the inequality symbol first and replace it with '=' sign. Then, find the x- and y-intercepts.

15x + 10y = 1,100

x-intercept:

15x + 0 = 1,100

x = 1,100/15 = 73.33

y-intercept:

0 + 10y = 1,100

y = 1,100/10 = 110


Now, plot points (73.33,0) and (0,110). Since the equality symbol is ≥, which has an equal sign to it, connect the points using a solid line. 

Next, let's find a point on the graph. Suppose it is the origin at (0,0). Use this points to the equation.

15x + 10y ≥ 1,100

15(0) + 10(0) ? 1,100

0 ? 1,100

0 < 1,100

It makes the symbol ≥ false. Therefore, it means that the other region bounded by the line is the solution. So, you shade this area. The final graph is shown in the picture attached.

4 0
3 years ago
Read 2 more answers
Give one example of when you would make a frequency table to solve a problem
yan [13]

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5 0
3 years ago
7x + y = 33<br> 3x + y = 17<br><br> x=<br> y=<br> simultaneous
Tcecarenko [31]
(x, y)=(4,5) hope this helps
4 0
2 years ago
What is the area of a rectangle if the length is 5 inches and the width is 2/5
Lynna [10]
5/1 • 2/5 = 10/5 = 2

The area is 2 inches
8 0
3 years ago
Help! what is the surface area of the prism? 128in^2, 768in^2, 384in^2, or 480in^2
Nimfa-mama [501]

Option C: 384 \ in^2 is the surface area of the prism

Explanation:

Given figure is a triangular prism.

We need to determine the surface area of the triangular prism.

The formula to find the surface area of the triangular prism is given by

S A=b h+(s 1+s 2+s 3) H

where b is the base of the triangle,

h is the height of the triangle,

s1,s2,s3 are the three sides of the triangle and

H is the height of the prism.

Let us substitute the values b=16 , h=6 , s1=16 , s2=10 , s3=10 and H=8 in the formula, we get,

SA=16(6)+(16+10+10)(8)

Simplifying, we get,

SA=96+(36)(8)

Multiplying the term, we get,

SA=96+288

Adding the terms, we have,

SA=384 \ in^2

Thus, the surface area of the prism is 384 \ in^2

Hence, Option C is the correct answer.

6 0
3 years ago
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