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Wewaii [24]
4 years ago
9

You make $30,000.00 and your spouse makes $35,000.00. using the 20% range, calculate the least and greatest amount you spend on

housing
Mathematics
1 answer:
NemiM [27]4 years ago
5 0

30,000 x 0.20 = $6,000 least amount

30,000 +35,000 = 65,000

65000 x 0.20 = $13,000 greatest amount

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Find an equation of the line having the given slope and containing the given point.slope 5/6; through (-6, 6)
Akimi4 [234]
I hope this helps you x'= -6 y'= 6 slope=5/6 slope. (x'-x)=y'-y 5/6. (-6-x)=6-y 5/6. -6-x.5/6=6-y -5-5x/6=6-y y= 5x/6+11
7 0
3 years ago
In 1998, Cathy's age is equal to the sum of the four digits in the year of her birthday, then how old was Cathy in 1998?
ycow [4]

Answer:

<em>Cathy was born in 1980 and she was 18 years old in 1998</em>

Step-by-step explanation:

<u>Equations</u>

This is a special type of equations where all the unknowns must be integers and limited to a range [0,9] because they are the digits of a number.

Let's say Cathy was born in the year x formed by the ordered digits abcd. A number expressed by its digits can be calculated as

x=1000a+100b+10c+d

In 1998, Cathy's age was

1998-(1000a+100b+10c+d)

And it must be equal to the sum of the four digits

1998-(1000a+100b+10c+d)=a+b+c+d

Rearranging

1998=1001a+101b+11c+2d

We are sure a=1, b=9 because Cathy's age is limited to having been born in the same century and millennium. Thus

1998=1001+909+11c+2d

Operating

88=11c+2d

If now we try some values for c we notice there is only one possible valid combination, since c and d must be integers in the range [0,9]

c=8, d=0

Thus, Cathy was born in 1980 and she was 18 years old in 1998. Note that 1+9+8+0=18

5 0
4 years ago
Max is thinking of a double fact. It has a sum greater than 10 but less than 13. What number fact could it be?
igor_vitrenko [27]
The answere would be 11 and 12
4 0
4 years ago
Mark decided to donate a lot of his shirts to two different organizations and keep
vitfil [10]

Answer:

1.) 3/5

2.) 3/10

3.) 50

Step-by-step explanation:

i believe my answers are right, they might be wrong. I'm not that old so I can't solve most of these problems.

1.) to get this, you need to multiply the remaining shirts and 2/3

2.) subtract 1/10, and 3/5 from 1, which equals 3/10

3.) is 3/10 is equal to 15, then 1/10 is equal to 5, 5*10=50

3 0
3 years ago
Sodium - 24 has a hourly decay rate of 5%
allsm [11]

Answer:

The amount of sodium- 24 remain after 90 hours of decay is 8.90 gram

Step-by-step explanation:

Given as :

The amount of sodium-24 = 900 gram

The decay rate of sodium is 5 %

The time period for its decay  = 90 hours

Final value of sodium -24 = initial value \times  (1 - \frac{Rate}{100})^{Time}

Or, Final value of sodium -24 = 900 gram \times  (1 - \frac{5}{100})^{90}

Or, Final value of sodium -24 = 900 g × (0.95)^{90}

Or,  Final value of sodium -24 = 900 g × (9.88)^{-3}

∴ Final value of sodium -24 = 8.899 gram

Hence The amount of sodium- 24 remain after 90 hours of decay is 8.90 gram    Answer

5 0
3 years ago
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