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shepuryov [24]
3 years ago
9

3) Lane and Zack purchased a house for $245,000 in 2016. The house loses 4% of its value each year,

Mathematics
1 answer:
alina1380 [7]3 years ago
8 0

Answer:

$138,345

Step-by-step explanation:

This is a compound decline problem, which will be solve by the compound formula:

F=P(1-r)^t

Where

F is the future value (value of house at 2030, 14 years from  2016)

P is the present value ($245,000)

r is the rate of decline, in decimal (r = 4% = 4/100 = 0.04)

t is the time in years (2016 to 2030 is 14 years, so t = 14)

We substitute the known values and find F:

F=P(1-r)^t\\F=245,000(1-0.04)^{14}\\F=245,000(0.96)^{14}F=138,344.96

Rounding it up, it will be worth around $138,345 at 2030

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Suppose that a family wants to increase the size of the garden which is currently 16 feet long and 8 feet wide without changing
Cloud [144]

Answer:

See below

Step-by-step explanation:

<u>Sides of the garden</u>

  • 16 feet and 8 feet

<u>New dimensions of the garden</u>

  • 16 + 2x and 8 + x

<u>1. The area of the new garden</u>

  • (16 + 2x)(8 + x) =
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<u>2. The difference in area </u>

  • 2x^2 + 32x + 128 - 16*8 =
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<u>3. x= 2 effect on the area</u>

  • 2*2^2 + 32*2 =
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<u>4. Area difference = 160</u>

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  • x^2 + 16x - 80 = 0
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<u>5. Area difference = 4 times</u>

  • 2x^2 + 32x = 128*3
  • 2x^2 + 32x - 384 = 0
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3 0
3 years ago
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Step-by-step explanation:

8 0
3 years ago
The interval for this number line is ______.<br><br> A.3<br> B.5<br> C.6<br> D.4
sergejj [24]

Answer:

it is D.4

Step-by-step explanation:

each place on the number line goes up by 4

3 0
3 years ago
Read 2 more answers
Type the correct answer in each box. Use numerals instead of words. if necessary, use / for the fraction bar(s).
Marrrta [24]

Answer:

\frac{11}{12} - \frac{1}{3} = \frac{7}{12}

Step-by-step explanation:

Given

See attachment for question

Required

Solve

We have:

\frac{11}{12} - \frac{1}{3}

Take LCM and solve

\frac{11}{12} - \frac{1}{3} = \frac{11 - 4}{12}

\frac{11}{12} - \frac{1}{3} = \frac{7}{12}

4 0
2 years ago
Help I am trying to understand this!!!!
PSYCHO15rus [73]

Answer:D!

Step-by-step explanation: Okay my bad u was trying to understand.Soooo 6:1.75 is a ratio of 6 to 1.75.Basically a different saying of 6/1.75.Well if u divide the fraction you will get about 3.42.Now we just take all of the answers and just divide all of them.boom 12/3.5 is also 3.42!Therefore D is your answer!

If you found this useful please give it a like

4 0
2 years ago
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