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Rzqust [24]
3 years ago
12

Daniel growing corn in a square field. The length of one side is 100 yards he needs to purchase fertilizer for the corn field. E

ach bag covers 50 square yards .How many bags do he need?
Mathematics
1 answer:
alekssr [168]3 years ago
4 0

Answer:

200 bags are needed

Step-by-step explanation:

First let us determine the area of the corn field:

Shape of cornfield = square

Area of a square = Length × Length

where: Length = 100 yards

∴ Area = 100 × 100 = 10,000 square yards

1 bag of fertilizer is needed to cover 50 square yards:

50 square yards = 1 bag of fertilizer

\therefore 1 \ square\ yard\ = \frac{1}{50}\ bag\\10,000\ square\ yards\ =\ \frac{1}{50} \times 10,000 = \frac{10l000}{50} \\ = 200 bags

Hence, 200 bags are needed.

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A loan of $36,000 is made at 6.75% interest, compounded annually. After how many years will the amount due reach $57,000 or more
irakobra [83]

Answer:

After 7.04 years the amount will reach $57,000 or more

Step-by-step explanation:

The rule of the compound interest is A=P(1+\frac{r}{n})^{nt} , where

  • A is the new value
  • P is the initial value
  • r is the rate in decimal
  • n is the period of the time
  • t is the time

∵ A loan of $36,000 is made at 6.75% interest, compounded annually

∴ P = 36,000

∴ r = 6.75% = 6.75 ÷ 100 = 0.0675

∴ n = 1 ⇒ compounded annually

∵ The amount after t years will reach $57,000 or more

∴ A = 57,000

→ To find t substitute these values in the rule above

∵ 57,000 = 36,000 (1+\frac{0.0675}{1})^{(1)(t)}

∴ 57,000 = 36,000 (1.0675)^{t}

→ Divide both sides by 36,000

∵ \frac{19}{12} =  (1.0675)^{t}

→ Insert ㏒ in both sides

∴ ㏒( \frac{19}{12} ) = ㏒ (1.0675)^{t}

→ Remember ㏒a^{n} = n ㏒(a)

∵ ㏒( \frac{19}{12} ) = <em>t</em> ㏒(1.0675)

→ Divide both sides by ㏒(1.0675)

∴ 7.035151337 = <em>t</em>

<em>∴ </em><em>t </em>≅ 7.04

∴ After 7.04 years the amount will reach $57,000 or more

4 0
3 years ago
Um help again. i’m terrible with math so an answer would really help thxs :)
Leni [432]

Answer:

20

Step-by-step explanation:

skip count by 2

4 0
3 years ago
(I really need help with this because I have no Idea what to do. It's a lot of points and I need to get a good grade on this so
klio [65]
The correlation does not match up with the contents and calories. I’m not sure what you do to determine the correlation.
6 0
3 years ago
Need help with this problem
Nat2105 [25]

Since its a linear pair,

(2x+4)° + (x+23)° = 180° (Since a linear pair = 180°)

2x+x+4+23 = 180°

3x+27 = 180°

3x = 180° - 27

3x = 153°

x =153/3

x = 51


Therefore, (2x+4)° = 2*51+4

= 106°

&

(x+23) = 51+23

=  74°

Hope you understood!

5 0
3 years ago
Read 2 more answers
Consider the numbers 0, 10, 20, 30, and 40. Multiply each by 4 and compare the result to 60 to determine into which of the follo
olya-2409 [2.1K]

Answer:

b) 10 to 20

Step-by-step explanation:

You have to multiply each of the given numbers by 4, and add 8 to that result.

So:

  • 0*4+8  = 8
  • 10*4+8 = 48
  • 20*4+8 = 88
  • 30*4+8 = 128
  • 40*4+8 = 168

And 60 is between the result of <u>10 and 20</u>, so that's the interval you have to select.

<em>The correct answer is b) 10 to 20</em>

3 0
4 years ago
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