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Gnesinka [82]
4 years ago
12

Sheryl has 13 ⅙meters of fencing after placing some around her garden. The garden she fenced has two sides that are 16 ¾meters l

ong and two sides that are 12½ meters long. How much fencing did she have before she started the garden?
Mathematics
1 answer:
Degger [83]4 years ago
5 0

Answer:

71 \times \frac{4}{6} meters

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Can someone please please help me with this question !!!
Alex_Xolod [135]

Answer: b and d

Step-by-step explanation:

Since the roots are x=2 and x=6, we can write the equation as

f(x)=a(x-2)(x-6)

Substituting in the coordinates of the vertex,

-4=a(4-2)(4-6)\\\\-4=a(2)(-2)\\\\-4=-4a\\\\a=1

So, the equation is f(x)=(x-2)(x-6).

On expanding, we get f(x)=x^2 - 8x+12

5 0
2 years ago
If f(x) and 1(x) are inverse functions of each other and f(x) = 2x+5, what is ri(8)?
Yakvenalex [24]

Answer:

3/2

Step-by-step explanation:

3 0
4 years ago
Suppose you invest $2000 at annual interest rate of 4.5 % How much money do you have in the account after five years?
nataly862011 [7]

Answer:

Please check the explanation.

Step-by-step explanation:

To find the amount we use the formula:

A=P\cdot \left(1+\frac{r}{n}\right)^{nt}

Here:

A = total amount

P = principal or amount of money deposited,

r = annual interest rate

n = number of times compounded per year

t = time in years

Given

P=$2000

r=4.5%

n=4

t = 5 years

<em />

<u><em>Calculating compounded quarterly </em></u>

After plugging in the values

A=2000\left(1+\frac{4.5\%\:}{4}\right)^{4\cdot \:5}

A=2000\left(1+\frac{0.045}{4}\right)^{4\cdot \:5}

A=2000\cdot \frac{4.045^{20}}{4^{20}}

A=\frac{125\cdot \:4.045^{20}}{2^{36}}

A = 2,501.50

Thus, If you deposit $2000 into an account paying 4.5% annual interest compounded quarterly, you will have $2501.50 after five years.

<u><em>Calculating compounded semi-annually</em></u>

n = 2

A=2000\left(1+\frac{4.5\%\:}{2}\right)^{2\cdot \:5}

A=2000\left(1+\frac{0.045}{2}\right)^{2\cdot \:5}

A=2000\cdot \frac{2.045^{10}}{2^{10}}

A = 2,498.41

Thus, If you deposit $2000 into an account paying 4.5% annual interest compounded semi-annually, you will have $2,498.41  after five years.

5 0
3 years ago
\left(6x10^2\right)\div \left(3x10^{-5}\right)
Trava [24]

Answer:

\frac{6\times 10^2}{3\times 10^{-5}} = 2 x 10⁷

Step-by-step explanation:

Given expression is \frac{6\times 10^2}{3\times 10^{-5}}

The given expression is simplified as follows;

\frac{6\times 10^2}{3\times 10^{-5}} = (\frac{6}{3} )\times 10^{2-(-5)}\\\\(\frac{6}{3} )\times 10^{2-(-5)}  = (\frac{6}{3} )\times 10^{2+5}\\\\(\frac{6}{3} )\times 10^{2+5} = 2 \ \times \ 10^7

Therefore, the result of the given expression is 2 x 10⁷

6 0
3 years ago
Recall that the perimeter of a figure such as the one to the right is the sum of the length of its sides. Find the perimeter of
VashaNatasha [74]

Answer:

perimeter: 90z+176

Explanation:

perimeter = measure of all length sides

perimeter for this shape:

45z + 40 + 15z + 48 + 20z + 60 + 10z + 28

group terms like this ↓

45z+15z+20z+10z+40+48+60+28

addition of terms ↓

45z+15z+20z+10z+176

this is how final result would look ↓

90z+176

8 0
2 years ago
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