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algol13
8 days ago
8

Manuel decides to build a fence to enclose an area for his dogs to play. The area is to be rectangular in shape. If he has 80 fe

et of fencing, find the dimensions of the rectangle that will give the dogs the maximum area in which to play. Only 3 sides need to be fenced, because his house is to be one border of the rectangle.
Mathematics
1 answer:
PIT_PIT [11.1K]7 days ago
7 0
Manuel has opted to construct a fence to define a play area for his dogs, which will be a rectangular shape. Since only three sides require fencing because his house acts as one side of the rectangle, we conclude that the optimal area configuration will consist of two shorter sides each measuring 20 feet and a longer side measuring 40 feet.
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Crane Company reports the following for the month of June.
babunello [10387]

Respuesta:

Crane Company

Informes financieros de junio

a) Costo de bienes disponibles para la venta = $5,250

b) Costo unitario de promedio móvil para:

i) 1 de junio: = $5

ii) 12:  = $4.75

iii) 15: = $4.75

iv) 23:  = $5.75

v) 27:  = $5.25

Explicación paso a paso:

a) Cálculos:

Fecha Explicación Unidades Costo Unitario Costo Total Costo Promedio Móvil

1 de junio Inventario 150 $4 $600 $4.000

12 Compra 450 5 2,250 4.750

15 Venta 500 7 3,500 4.750

23 Compra 400 6 2,400 5.750

27 Venta 420 8 3,360 5.250

30 Inventario 80

Costo de bienes disponibles para la venta = Costo del Inventario Inicial + Costo de Compras = $5,250 + ($600 + 2,250 + 2,400)

b) Costo unitario de promedio móvil para:

i) 1 de junio: Costo de bienes disponibles/Unidades disponibles = $5 ($600/150)

ii)  12: Costo de bienes disponibles/Unidades disponibles = $4.75 ($600 + 2,250/600)

iii)  15: Costo de bienes disponibles/Unidades disponibles = $4.75 ($475/100)

iv)  23: Costo de bienes disponibles/Unidades disponibles = $5.75 ($475 + 2,400)/500

v)  27: Costo de bienes disponibles/Unidades disponibles = $5.25 ($420/80)

8 0
10 days ago
max invests $6000 in a savings account for 3 years. the account pays compound interest at a rate of 1.5% per year for the first
AnnZ [11056]

Answer:

2.1%

Step-by-step explanation:

The compound interest formula can be expressed as:

A=P(1+I)^n\\\\P-Principal \\A-amount\\i-compound \ interest \ rate

Starting with a Principal amount of $6000 and applying an interest rate of 1.5% for the first two years:

A=P(1+i)^n\\\\A_2=6000(1+0.015)^2\\\\A_2=6181.35

We calculate compound interest A_2 for one year at rate i, resulting in $6311.16:

A=P(1+i)^n, n=1, i=i, P=6181.35, A=6311.16\\\\6311.16=6181.35(1+i)^1\\\\\frac{6311.16}{6181.35}=(1+i)\\\\i=\frac{6311.16}{6181.35}-1\\\\i=0.02100

Thus, the interest rate for the third year is 2.1%

7 0
20 days ago
Read 2 more answers
Suppose your statistics professor reports test grades as​ z-scores, and you got a score of 1.57 on an exam. ​a) Write a sentence
tester [10898]

Answer:

a) In this case, we have a z-score of 1.57, characterized as:

z =\frac{x -\mu}{\sigma}

This signifies that our score is 1.57 standard deviations above the average of all test scores.

b) P(Z

Using the normal standard distribution or Excel, we computed:

P(Z

This represents 2.275% of the dataset.

Step-by-step explanation:

Previous concepts

Normal distribution denotes a "probability distribution that is symmetric around the mean, indicating that data close to the mean occurs more frequently than data further from it".

The Z-score serves as "a statistical measurement representing a value's relation to the average (mean) of a set, calculated in terms of standard deviations away from the mean".

Solution to the problem

Part a

For this instance, we hold a z-score of 1.57, which is defined as:

z =\frac{x -\mu}{\sigma}

This shows that our score is 1.57 deviations above the overall test score average.

Part b

A z-score of z=-2 indicates that your friend's score is 2 deviations below the other test scores.

Assuming a normal distribution, we can derive the percentage:

P(Z

Using the normal standard distribution or Excel, we discovered:

P(Z

This represents 2.275% of the data.

6 0
1 month ago
Explain why the following expression is false. |x| < -4
Zina [11260]

Step-by-step explanation:

When a negative number is placed within a modulus function, the result will be positive. For instance, |-3| equals 3, |-6| equals 6, and |5| equals 5, etc.

A modulus function, expressed as |x|, is always positive unless x is zero, in which case it equals zero.

Consequently, |x| cannot be less than -4 because |x| is always non-negative. Thus, the statement is inaccurate.

8 0
29 days ago
Which of the following represents the general term for the sequence 2, 4, 6, 8, 10, . . .?
zzz [11071]
A(n)=a(1)+(n-1)d=
a(n)=2+(n-1)2=2+2n-2=2n
7 0
29 days ago
Read 2 more answers
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