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NikAS [45]
3 years ago
5

Joe and Linda have the opportunity to purchase a new home. The house in Glen Oaks is currently worth $250,000 but is predicted t

o be worth $270,000 in a year. What is the rate of appreciation for the house from one year to the next?
Mathematics
1 answer:
Dmitry [639]3 years ago
7 0

You can work out the percentage change and that would help you work out the rate of appreciation :)

The formula is ((new value - old value)/old value) * 100.

So you do \frac{270,000 - 250,000}{250,000} \times 100 = 8\%

Therefore the rate of appreciation is 8% p/a.

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What is the value of t?
inna [77]

Answer:

  4.56

Step-by-step explanation:

After this equation is simplified, it is solved the way any 1-step linear equation is solved.

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1.4t -0.4(t -3.1) = 5.8 . . . . . . given

1.4t -0.4t +1.24 = 5.8 . . . . . eliminate parentheses

t +1.24 = 5.8 . . . . . . . . . collect terms (now you have a 1-step equation)

t = 4.56 . . . . . . . . .  .subtract 1.24

4 0
2 years ago
Newton's law of cooling is:
Mnenie [13.5K]

Answer:

t = \frac{ln(\frac{21}{59})}{-0.15}=6.887 hr

So it would takes approximately 6.9 hours to reach 32 F.

Step-by-step explanation:

For this case we have the following differential equationÑ

\frac{du}{dt}= -k (u-T)

We can reorder the expression like this:

\frac{du}{u-T} = -k dt

We can use the substitution w = u-T and dw =du so then we have:

\frac{dw}{w} =-k dt

IF we integrate both sides we got:

ln |w| = -kt +C

If we apply exponential in both sides we got:

w = e^{-kt} *e^c

And if we replace w = u-T we got:

u(t)= T + C_1 e^{-kt}

We can also express the solution in the following terms:

u(t) = (T_i -T_{amb}) e^{kt} +T_{amb}

For this case we know that k =-0.15 hr since w ehave a cooloing, T_{i}= 70 F, T_{amb}=11F, we have this model:

u(t) = (70-11) e^{-0.15t} +11

And if we want that the temperature would be 32F we can solve for t like this:

32 = 59 e^{-0.15 t} +11

21=59 e^{-0.15 t}

\frac{21}{59} = e^{-0.15 t}

If we apply natural logs on both sides we got:

ln (\frac{21}{59}) =-0.15 t

t = \frac{ln(\frac{21}{59})}{-0.15}=6.887 hr

So it would takes approximately 6.9 hours to reach 32 F.

7 0
3 years ago
Which one is ASA, AAS, HL, SSS, SAS
irina1246 [14]

Answer:

1. ASA

2. AAS

3. AAS

4. SSS

5. SSS

6. not sure which triangles are number 6

7. SAS

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2 years ago
A certain game and fun center charges a fee to rent the party room for birthday parties plus an additional fee per guest. The gr
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Answer:

i Believe c

Step-by-step explanation:

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It’s not the same because if you simplify them there going to end up looking different (the answers) And they get a whole different do you denominator a numerator
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