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stiks02 [169]
3 years ago
13

Ginger is filing her federal income tax return with the 1040EZ form, and she received two W-2 forms, with the federal income tax

withheld on one being $4530, and the federal income tax withheld on the other being $540. If Ginger received a Making Work Pay credit of $400, and if lines 9a and 9b in the Payments, Credits, and Tax section below are $0, what should she enter on line 10?
A. $4670
B. $4930
C. $5470
D. $5070

Mathematics
2 answers:
kiruha [24]3 years ago
5 0
The answer is C. 5470
Maurinko [17]3 years ago
4 0

Answer - C

Add 4530 + 540 + 400 = 5470

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PLSS HELP ME I NEED IT ASAPP TYSM ILY
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Answers:

  • He needs <u>   310   </u> grams of the 99% cocoa brand
  • He needs <u>    590    </u>grams of the 70% cocoa brand

======================================================

Explanation:

Let's label the two brands of chocolate as A and B

  • Brand A is 99% cocoa
  • Brand B is 70% cocoa

Furthermore, define these variables

  • x = amount of brand A
  • y = amount of brand B

The amounts are in grams.

The two amounts must add to 900 grams, so x+y = 900. This can be solved to y = 900-x which we'll use later.

Since we have x grams of brand A, and brand A has 99% cocoa, this means 0.99x represents the amount of pure cocoa from brand A.

Similarly, brand B contributes another 0.70y grams of pure cocoa

Overall, we're dealing with 0.99x+0.70y grams of pure cocoa from the two brands mixed together.

---------------

Rolf needs 900 grams of final product. He wants it to be 80% cocoa, which means 80% of the 900 is going to be pure cocoa

80% of 900 = 0.80*900 = 720

Rolf wants 720 grams of pure cocoa after mixing the two brands together.

So this leads to the second equation: 0.99x+0.70y = 720

---------------

Let's apply substitution to replace y with 900-x

0.99x+0.70y = 720

0.99x+0.70( y ) = 720

0.99x + 0.70( 900-x ) = 720

At this point, we have a single variable in which we can isolate x fully.

0.99x + 0.70( 900-x ) = 720

0.99x + 0.70( 900) + 0.70(-x) = 720

0.99x + 630 - 0.70x = 720

0.29x = 720-630

0.29x = 90

x = 90/(0.29)

x = 310.344827586 which is approximate

Rounding to the nearest full gram, we get x = 310

Use this x value to find y

y = 900-x

y = 900-310.344827586

y = 589.655172414 which is also approximate

y = 590 when rounding to the nearest whole number

---------------

In summary, we have

  • x = 310
  • y = 590

Meaning that Rolf will need <u>310 grams</u> of brand A to mix with <u>590 grams</u> of brand B.

If we plugged those values into x+y = 900, then that equation works out.

If we tried the second equation, then,

0.99x+0.70y = 720

0.99*310+0.70*590 = 720

719.9 = 720

The slight discrepancy is due to the fact we rounded those approximate x and y values to the nearest whole number. We would get better accuracy if we rounded to say the nearest tenth or hundredth.

8 0
2 years ago
Find the Least Common Factor of 25 and 60
Firlakuza [10]
25: 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300, 325, 350,…
60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840,…

LCM(25, 60) = 300
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3 years ago
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