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olga nikolaevna [1]
2 years ago
7

Nancy was laid off and applied for unemployment benefits in July. In her state, the weekly unemployment benefit is 55% of the ​2

6-week average of the two highest salaried quarters of the year leading to her application. In April, May, and June, Nancy earned a total of 13,500. In January, Febuary, and March her total income was 12,775. What will Nancy​ weekly benfits be?
Mathematics
1 answer:
tankabanditka [31]2 years ago
8 0

Answer:

$277.91

Step-by-step explanation:

"The ​26-week average of the two highest salaried quarters of the year leading to her application" would be the average of $13,500 and $12,775, or

$13,500 + $12,775

---------------------------- = $13137.50

            2

Dividing this by 26 weeks (equivalent to 6 months), we get $505.29.

Nancy's weekly employment benefit would be 55% of that, or $277.91.

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A population of endangered birds decreases by 3% each year.
Lana71 [14]
Since the number of bird decreases 3% per year then for year 1 there will be 29 100 birds left. This value is 97% of 30000. From this the number of birds for year 1 is N = 30000(1-0.03)

A. N = 30,000(1-0.03)^{2}

B. To solve this we use the equation we established in letter A. We get the answer by substituting T with 20. N = 16,000. <span />
8 0
2 years ago
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Juana compró una camioneta 4x4 a S/ 42 000; además, sabe que la camioneta se depreciará (bajará su precio) en forma lineal duran
prohojiy [21]

Answer:

Una relación lineal es de la forma:

y = a*x + b.

donde a es la pendiente y b es la ordenada al origen.

en este caso, y es el precio de la camioneta, x es el numero de años que pasaron, a es la razon de depreciación de la camioneta y b es el precio inicial de la camioneta, b = $42,000.

Sabemos que después de 5 años, el precio de la camioneta es 21,000, entonces podemos resolver:

$21,000 = a*5 + $42,000

a*5 = $21,000 - $42,000 = -$21,000

a = -$21,000/5 = -$4,200

Esto significa que el precio decae $4,200 por año

4 0
2 years ago
The 2000 U.S. Census reports the populations of Bozeman, Montana, as 27,509 and Butte, Montana, as 32,370. Since the 1990 census
Nitella [24]
If the increase is x% per year, the multiplier each year is 1+x (expressed as a decimal).

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3 0
2 years ago
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The greatest common divisor of two positive integers less than $100$ is equal to $3$. Their least common multiple is twelve time
tangare [24]

Answer:

129

Step-by-step explanation:

Let a and b be two numbers.

We have been given that the greatest common divisor of two positive integers less than 100 is equal to 3. We can represent this information as GCD(a,b)=3.

Their least common multiple is twelve times one of the integers. We can represent this information as LCM(a,b)=12a.

Now, we will use property GCD(x,y)*LCM(x,y)=xy.

Upon substituting our given values, we will get:

3*12a=ab

36a=ab

Switch sides:

ab=36a

\frac{ab}{a}=\frac{36a}{a}

b=36

Now, we need to find a number less than 100, which is co-prime with 12 after dividing by 3.

The greatest multiple of 3 less than 100 is 99, but it is not co-prime with 12 after dividing by 3.

Similarly 96 is also not co-prime with 12 after dividing by 3.

We know that greatest multiple of 3 (less than 100), which is co-prime with 12, is 93.

Let us add 36 and 93 to find the largest possible sum of the required two integers as:

36+93=129

Therefore, the required largest possible sum of the two integers is 129.

3 0
2 years ago
Mohan is 6 years older than Rohan. The sum of their ages is 20. Find their present ages​
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Answer: ??????

Step-by-step explanation:

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