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3 years ago

A fence encloses a square shaped garden. Each side has four fence posts. How many posts are used for the garden fence?

Mathematics

2 answers:

Rama09 [41]3 years ago

7 0

The number of posts are 16 because 4 sides×4 posts= 16

Klio2033 [76]3 years ago

5 0

If you assume that each side shares a corner post then it takes 12 fence posts.

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Answer:

$a^{3} \sqrt[]{a}$

Step-by-step explanation:

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You want $5000 4 years from nowfor a down payment for a car. How much money must be deposited monetly into an account earning 4.

timama [110]

Answer:

$95.5090 must be deposited monthly

Step-by-step explanation:

From the information given:

The annual interest rate (r) = 4.2% = 0.042

Let assume that an amount Y is deposited, then after one month, it will increase to:

$Y ( 1+ \dfrac{0.042}{12})$

The total amount after 4 years will be:

$= Y ( 1+ \dfrac{0.042}{12})^{48}+Y ( 1+ \dfrac{0.042}{12})^{47} +Y ( 1+ \dfrac{0.042}{12})^{46} +...+ Y ( 1+ \dfrac{0.042}{12})$

$= Y ( 1.0035)^{48}+Y ( 1.0035)^{47} +Y( 1.0035)^{46} +...+ Y( 1.0035)$

Using the sum of a geometric progression:

$= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{(1.0035-1)}$

$= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{0.0035}$

The above amount is then equal to $5000

i.e

$= Y (1.0035) \dfrac{ (1.0035^{48}-1)}{0.0035} = 5000$

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3 years ago

The present age of the father is twice the age of his daughter. Ten years ago, the

Elenna [48]

Answer:

<h3> The father is 40 and the daughter is 20.</h3>

Step-by-step explanation:

x - the present age of the daughter

2x - the present age of the fathter

x - 10 - the age of the daughter ten year ago

2x - 10 - the age of the fathter ten year ago

Father is older than his dauther, so:

2x - 10 = (x - 10) + 20

2x - 10 = x - 10 + 20

2x - 10 = x + 10 {subtract x from both sides}

x - 10 = 10 {add 10 to both sides}

x = 20

2x = 2·20 = 40

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2 years ago

15. What is the solution to 3x - 52 28?

Pani-rosa [81]

Answer:

x> 30

Step-by-step explanation:

+ First, is the inequation 3x - 52 > 28.

+ If Yes, so we can solve:

3x - 52 > 28

3x - 52 + 52 > 28 +52

3x > 90

3x/3 > 90/3 (divide both sides by 3>0)

x > 30

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2 years ago