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3 years ago

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.

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).

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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:

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