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bezimeni [28]
3 years ago
7

mrs. wilson placed the welcome mat shown below on her front door step. what is the area of her welcome mat in square feet?

Mathematics
1 answer:
I am Lyosha [343]3 years ago
7 0

Answer:

12.56 square feet

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The rabbit population of Springfield, Ohio was 144,000 in 2016. It is expected to decrease by about 7.2% per year. Write an expo
xeze [42]
<h2>Hello!</h2>

The answer is:

In 2036 there will be a population of 32309 rabbits.

<h2>Why?</h2>

We can calculate the exponential decay using the following function:

P(t)=StartAmount*(1-\frac{percent}{100})^{t}

Where,

Start Amount, is the starting value or amount.

Percent, is the decay rate.

t, is the time elapsed.

We are given:

StartAmount=144,000\\x=7.2(percent)\\t=2036-2016=20years

Now, substituting it into the equation, we have:

P(t)=StartAmount(1-\frac{percent}{100})^{t}

P(t)=144000*(1-\frac{7.2}{100})^{20}

P(t)=144000*(1-0.072)^{20}

P(t)=144000*(0.928)^{20}

P(t)=144000*(0.928)^{20}

P(t)=144000*0.861=32308.888=32309

Hence, we have that in 2036 the population of rabbis will be 32309 rabbits.

Have a nice day!

5 0
3 years ago
A string is cut into two pieces in the ratio 2 : 7. The difference between the lengths of the two pieces is 90cm. Find the lengt
Nataly_w [17]

Answer:the length of the shorter string= 36cm

Step-by-step explanation:

Let us assume the lengths are 2x and 7x  since thery are in the ratio of 2 :7

 Such that Length of the shorter string = 2x

and the longer string = 7x  so that  the difference in Length which is 90cm can be expressed as

7x- 2x= 90

5x= 90

x 90/5

x= 18

shorter string = 2 x = 2x 18= 36cm

Longer strring = 7x 18=126cm  

       

5 0
3 years ago
A school has 4 quarters. What percent of a school year is 7 quarters
Grace [21]
7/4=1.75
1.75=175%
175% of a school year is 7 quarters.
7 0
3 years ago
Read 2 more answers
What the factors of 40 with a sum of -22? *
Andru [333]

Answer:

Why is 90 the sum of all factors of 40, including 40? The factors of the number 40 are: 1, 2, 4, 5, 8, 10, 20, 40. If you add them up, you will get the total of 90.

Step-by-step explanation:

2. Given the points A, B, C, D, calculate:

(a) the angle B of the triangle ABC

(b) the area of the triangle ABC

(c) the median BE of the triangle ABC

(d) the height AH of the triangle ABC

(e) the volume of tetrahedron ABCD

(f) the point E so that ABCE is a parallelogram.

A(-1, 2, -3), B(4, -1, 0), C(2, 1, -2), D( 3,4,5)​

3 0
3 years ago
Read 2 more answers
The solution of the system is (400, 3,200). How would you interpret this solution?
alekssr [168]
The solution (400, 3, 200) is the answer to a system of equations which has three variables. Respectively, this system is expected to have three equations because it has three unknowns. So for example if your unknowns are x, y and z, then the answers will be x=400, y=3, and z=200. 
3 0
3 years ago
Read 2 more answers
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