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m_a_m_a [10]
3 years ago
14

Conrad and jill have a taxable income of 63,670. they discovered that they are able to receive $1,500 tax credit for purchasing

an energy efficient furnace. How will this tax credit affect their taxes?
A) the tax credit will increase their taxable income by $1,500
B) the tax credit will reduce their taxable income by $1,500
C) the tax credit is added to the tax owed, not the taxable income
D) the tax credit is subtracted from the tax owed, not taxable income
Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
7 0
 The answer is letter D. The tax credit will be subtracted from the tax owed, not taxable income. This is because a tax credit is something that will be deducted or offset to your liability and that is the tax you owed based on your own taxable income. 
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Find an exponential function that fits the information (hint: putting them in a table may help you see).
Vilka [71]

Answer:

f(x)=8*(3.5)^x

Step-by-step explanation:

2=98

3= 98r

4= 98r^2

5= 98r^3

6= 98r^4

98r^4/98, 98 crosses out and its just r^4. r^4= 14706.125/98

r=3.5

So you plug that in and you get f(x)=8*(3.5)^x

I hope this helped. XD

7 0
3 years ago
The length of each side of an equilateral triangle is increased by 20%, resulting in triangle ABC. If the length of each side of
kompoz [17]

Answer: Area of ΔABC is 2.25x the area of ΔDEF.

Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as

A=\frac{\sqrt{3} }{4} a^{2}

with a as side of the triangle.

Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:

a₁ = 1.2a

Then, its area is

A_{1}=\frac{\sqrt{3} }{4}(1.2a)^{2}

A_{1}=\frac{\sqrt{3} }{4}1.44a^{2}

Triangle DEF is 20% smaller than the original, which means its side is:

a₂ = 0.8a

So, area is

A_{2}=\frac{\sqrt{3} }{4} (0.8a)^{2}

A_{2}=\frac{\sqrt{3} }{4} 0.64a^{2}

Now, comparing areas:

\frac{A_{1}}{A_{2}}= (\frac{\sqrt{3}.1.44a^{2} }{4})(\frac{4}{\sqrt{3}.0.64a^{2} } )

\frac{A_{1}}{A_{2}} = 2.25

<u>The area of ΔABC is </u><u>2.25x</u><u> greater than the area of ΔDEF.</u>

7 0
2 years ago
Cameron estimates that the math class will sell 200 calendars. what will the total cost be'
Airida [17]
Well i can't really help you in this since i do not know the cost of each calendar, but if you need the formula.

the cost of one calendar = x

so the total cost would be 200 times x (200x)
4 0
3 years ago
Sarah is making flower bouquets that she will put in 10 vases. She will put 15 roses and some lilies in each vase.
AnnyKZ [126]
A is correct because the f represents the lilies and then you add the 15 because that is how much roses there are going to be. Lastly just multiply the ten that will give you the answer
3 0
3 years ago
Find the area of the shape shown below.
vlabodo [156]

Answer:

6cm^{2} (assuming the units is in centimetres)

Step-by-step explanation:

Hi, hope this helps!

Method 1:

Calculate this shape as a trapezium. This is a trapezium because it has one pair of parallel sides. The way to calculate the area of a trapezium is this:

- Half the sum of the parallel sides

- Multiply the perpendicular height between them

In this case, 4 and 2 are parallel, so we add them together (4 + 2 = 6) then we divide by two (6 ÷ 2 = 3). Then we multiply our answer by the perpendicular length between the two parallel sides (assuming the side on the left is at a right-angle, 3 x 2 = 6).

Method 2:

Calculate this shape as a rectangle + a triangle. If you split the shape so the pointy bit on the right becomes a triangle and the left becomes a square, you can calculate the area without knowing the formula for calculating a trapezium (see above ^).

- Area of the square / rectangle = length x width = 2 x 2 = 4

- Area of the triangle = 1/2 x length x width = 2 x 2 x 1/2 = 4 x 1/2 = 4 ÷ 2 = 2

Then we add the two areas together (4 + 2 = 6).

I hope this helped and I wasn't waffling on :)

Bluey

8 0
3 years ago
Read 2 more answers
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