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Andrej [43]
3 years ago
6

Q8 Q2.) What are the​ lot's dimensions?

Mathematics
1 answer:
Triss [41]3 years ago
7 0
Equation for perimeter is 2L +2W

perimeter of the lot is 390 ft

 so we have 390 = 2L +2w

divide all terms by 2:

195 = L + W

rewrite this as L = 195-W  ( eq.1)

 cost of fence for the length = 36 per foot so we have 36L
cost of fence for width = 6 per foot so we have 6W

the fence was 1 length and 2 sides
 so we have 36l + 6w +6w = total cost

total cost is 4980

so we have 4980 = 36L + 6w +6w

combine like terms:

4980 = 36L +12w

replace L with eq1 from above:

4980 = 36(195-w) +12w

distribute:

4980 = 7020 -36w +12w

combine like terms:

4980 = 7020-24w

subtract 7020 from both sides:

-2040 = -24w
 divide both sides by -24:

-2040 / -24 = 85
width = 85 feet

using eq1 L = 195 - 85

Length = 110 feet

lond = 110 feet
 short = 85 feet








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Step-by-step explanation:

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and then the side of that is 3*1=3

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<em>(for these ones I divided it up into three parts; one were each star begins making it appear that there is a small rectangle on top of a medium rectangle on top of a large rectangle)</em>

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5 0
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6 0
3 years ago
Andres Michael bought a new boat. He took out a loan for S24 320 at 45% interest for 2 years. He made a 54.110 partial payment a
AleksAgata [21]

Answer:

$25,381.94

Step-by-step explanation:

45% interest in 2 years = 45/24 = 1.875% monthly

<u>Debt at month 0</u> (when Andres got the loan)

24,320

<u>Debt at month 1</u>

24,320*(1 + 0.001875) = 24,365.6

<u>Debt at month 2</u>

24,365.6*(1.001875) - 54.110 (partial payment) = 24,357.1755

<u>Debt at month 3</u>

24,357.1755*(1.001875)

<u>Debt at month 4</u>

24,357.1755*(1.001875)^2

<u>Debt at month 5</u>

24,357.1755*(1.001875)^3

<u>Debt at month 6</u>

24,357.1755*(1.001875)^4 - 3,410 (partial payment)

= 24,540.36874

<u>Debt at month 7</u>

24,540.36874*(1.001875)

<u>Debt at month 8</u>

24,540.36874*(1.001875)^2

<u>Debt at month 9</u>

24,540.36874*(1.001875)^3

<em>and so on</em> until month 24 (the maturity)

<u>Debt at maturity</u>

24,540.36874*(1.001875)^{18}

= 25,381.93916 = $25,381.94 rounded to the nearest hundreth.

8 0
3 years ago
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