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irina [24]
3 years ago
7

Amy earned a gross income of $51,750 last year. She made $644.28 in IRA contributions, donated $713 to her

Mathematics
1 answer:
VikaD [51]3 years ago
6 0

Answer:

41,755.72

Step-by-step explanation:

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Find the solutions for w​
baherus [9]
Calculation:

(Length) (width) (height)

(2w+4) (w) (18-w) = 1152

(2w^2+4w) (18-w) = 1152

Distributive property:

36w^2 -2w^3+72w-4w^2 =1152

Remember to use FOIL method:

-2w^3 +32w^2+72w-1152 =0

Like terms:

-2(w^3-16w^2-36w+576) = 0

Factor it by 2:

w^3 -16w^2-36w+576 =0

Simplify:

w^2(w-16)-36(w-16) =0

(w^2-36) (w-16) = 0

w= -6,6,16

Width:

w = 6,16

Since width is 16, then the height should be less than the width (18-16=2)

Length of gift bag: 2(6)+4

=16 inches.

Width of the bag: 6

Height of the bag: 18-6

12 inches.

Answer: 16, 6 and 12 inches.
3 0
3 years ago
Having some trouble with these questions, how do I work them out?
matrenka [14]

5.

Let x be the age of the father and y be the age of the son. As of today, he's 3 times older, so we have x=3y

10 years ago their ages were, respectively, x-10 and y-10, and the father was 5 times older: x-10 = 5(y-10)

So, we have the system

\begin{cases} x=3y\\x-10=5(y-10)\end{cases}

Using the first equation, we can substitute every occurrence of "x" with "3y" in the second equation:

3y-10=5(y-10) \iff 3y-10=5y-50 \iff 2y = 40 \iff y=20

So, the son is 20 years old, which means that the father is 60 years old.

Indeed, 10 years ago they were 10 and 50 years old, so the father was 5 times older.

6.

Let x be the age of the grandfather and y the age of the granddaughter. We know that the grandfather is 10 times older: x=10y

He also is 54 years older: x=y+54

Again, if we substitute x=10y in the second equation we have

10y=y+54 \iff 9y=54 \iff y=6

7 0
2 years ago
5% of a number is 23<br> 1% of a number is 4.6<br> work out 16% of the number
Makovka662 [10]

The number is 460. So 16% of that number would be 73.6
4 0
2 years ago
Convert 112 from binary to base 10:<br>​
Svetlanka [38]

Answer:

The base-10 value of 112*10 is equal to base-2 value of 11100002

8 0
3 years ago
Fill in the blanks:<br><br><br><br> 96inches=_____feet
Anarel [89]
Your answer will be 8 feet
7 0
3 years ago
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