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Stells [14]
3 years ago
9

Financial Literacy Quiz Question 2

Mathematics
2 answers:
lesya [120]3 years ago
8 0

Answer:

The amount of income tax is $9127.50 or 912750 cents :)

Step-by-step explanation:

Amount of annual income = $152,125

Rate of income tax = 6%

So, the amount of income tax in dollars

= 6% of $152,125

= (6/100 x 152,125) = 9,127.50

Lena [83]3 years ago
4 0
$9127.50 that’s the answer for the question
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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
4 years ago
Which equation represents a line that has a slope of 1/3 and passed through point (-2,1)?
umka2103 [35]

Answer:

y=1/3x+5/3

Step-by-step explanation:

use the equation y=mx+b plug in slope for m, -2 for x and 1 for y

7 0
3 years ago
Excuse me but can someone help me with this I have to do it before tomorrow
Vedmedyk [2.9K]

Answer:

8)  Onaje is correct

9a) answers could be:  3(6y) or 4y + 6y + 8y  or 2(2y + 3y + 4y)

 b) all answers simplify to be 18y

Step-by-step explanation:

Paula is not correct because 16t + 9t ≠ 16 + 9 + 2t

16t + 9t only equals 25t

4 0
3 years ago
Read 2 more answers
I really need help with this question
lilavasa [31]

Answer:

  a) 625; 625; right triangle

  b) 205; 256; obtuse triangle

Step-by-step explanation:

The squares are values found in your memory or using a calculator. It is straightforward addition to find their sum.

<h3>left side</h3>

7² +24² = 49 +576 = 625

25² = 625

The sum of the squares of the short sides is the square of the long side, so this is a right triangle.

__

<h3>right side</h3>

6² +13² = 36 +169 = 205

16² = 256

The long side is longer than is needed to form a right triangle, so the largest angle is more than 90°. This is an <em>obtuse triangle</em> (as shown).

5 0
2 years ago
Alex made 36 cookies. 1/4 of the cookies were chocolate chip. 1/3 of the cookies were oatmeal. The rest of the cookies were pean
MatroZZZ [7]

Answer:

5

Step-by-step explanation:

number of chocolate chip cookies = 36 × ¼ = 9

number of oatmeal cookies = 36 × ⅓ = 12

36 - 9 - 12 = 15

Alex made 15 peanut butter cookies.

7 0
3 years ago
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