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satela [25.4K]
3 years ago
14

Your goal is to have an emergency fund equal to 3 months living expenses. Your living expenses are $700 a month. Your take-home

pay per month is $1,100, and you plan to put 10% toward your emergency fund each month. How long will it take you to reach your goal?
Mathematics
1 answer:
anyanavicka [17]3 years ago
6 0
6.4 months Because 10% of $1,100 is $110 

multiply 110 by 6.4 and you get 704 

so 6.4 months
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See image attached below keeeeeeeeeeeeeeeeeeeed
emmasim [6.3K]

Answer:

.13%

68.26%

2.28%

47.72%

49.87%

34.13%

Step-by-step explanation:

1.) standardize by subtracting the mean and dividng by the standard deviation

(625-1000)/125= -3

go to a ztable to get .0013 or (1-.9987)

this is equal to .13%

2.)

875<x<1125

standardize both seperately and subtract them

(875-1000)/125= -1  whose probability is .1587 (or 1-.8413)

(1125-1000)/125= 1  whose probability is .8413

.8413-.1587= 68.26%

3.)

Find the probability that someone paid less than 1250 and take its compliment

(1250-1000)/125= 2 which has a probability of .9772

take its compliment (1-.9772)= .0228= 2.28%

4.)

Same process as question 2

(750-1000)/125= -2 which has a probability of (1-.9772) = .0228

(1000-1000)/125= 0 which has a probability of .5

.5-.0228= .4772= 47.72%

5.) same deal as the previous question

(625-1000)/125= -3 which has a probability of (1-.9987)= .0013

(1000-1000)/125= 0 which has a probability of .5

.5-.0013= .4987= 49.87%

6.)same deal the previous question

(875-1000)/125= -1 which has a probability of (1-.8413)=.1587

(1000-1000)/125= 0 which has a probability of .5

.5-.1587= .3413= 34.13%

4 0
2 years ago
Which explains, on a given day, which island is more likely to have a wind speed close to its median? Country A because the medi
Leya [2.2K]

Answer:b

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
-10x+5y=0 -4x-6y=54 find the solution of this system of equations
yaroslaw [1]
We have the first equation:
-10x + 5y = zero
we can divide all terms by 5 to get:
-2x + y = zero
This means that:
y = 2x .................> equation I

We now will look at the second equation:
<span>-4x-6y=54
</span>we will substitute with equation I in this equation to get:
<span>-4x-6(2x)=54
-4x - 12x = 54
-16x = 54
x = -3.375

Substitute with the value of x in equation I to get y as follows:
y = 2(3.375) = -6.75

Therefore, for the given system of equations:
x = -3.375
y = -6.75</span>
6 0
3 years ago
The penny size of a nail indicates the length of the nail. The penny size d is given n 1by the literal equation d=4n−2, where n
Mars2501 [29]

Answer:

a) n=\frac{d+2}{4}

b)

When d = 3

n = (3+2)/4 = 5/4 inches

When d= 6

n = (6+2)/4 = 2 inches

When d = 10

n = (10+2)/4 = 3 inches

Step-by-step explanation:

<u>Complete Question:</u>

<em>The penny size of a nail indicates the length of the nail. The penny size d is given by the literal equation d=4n−2, where n is the length (in inches) of the nail.</em>

<em>a) Solve equation for n</em>

<em>b) Use part (a) to find length of nails with the following penny sizes: 3, 6, 10.</em>

<u>Solution:</u>

<u />

a)

We use algebra and take 2 to the other side and divide to solve for n. Shown below:

d=4n-2\\d+2=4n\\n=\frac{d+2}{4}

So,

n = (d+2)/4

b)

Since we have to find length of nails, we plug in 3, 6, and 10 respectively into d of the formula we found in part (a).

When d = 3

n = (3+2)/4 = 5/4 inches

When d= 6

n = (6+2)/4 = 2 inches

When d = 10

n = (10+2)/4 = 3 inches

3 0
3 years ago
Find all possible value or value of in the quadratic equation 2n^2-7n+6=0
Diano4ka-milaya [45]
You can use the quadratic formula:
X = (-b +/- ✓b^2 - 4ac)/2a

You then can get:
X = 2 or 1.5

Hope this helps! :)
5 0
3 years ago
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