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3 years ago

Solve A = P + PrT for A, given that P = $950,r = 3 1/2%, and t = 10 years.

Mathematics

1 answer:

hram777 [196]3 years ago

3 0

Answer:

10 days the balance is $1,000, but then the balance drops to $950.

Step-by-step explanation:

For the first 10 days the balance is $1,000, but then the balance drops to $950.

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Suppose a rectangular pasture is to be constructed using 1 2 linear mile of fencing. The pasture will have one divider parallel

timama [110]

Answer:

$\displaystyle A=\frac{1}{192}$

Step-by-step explanation:

<u>Maximization With Derivatives</u>

Given a function of one variable A(x), we can find the maximum or minimum value of A by using the derivatives criterion. If A'(x)=0, then A has a probable maximum or minimum value.

We need to find a function for the area of the pasture. Let's assume the dimensions of the pasture are x and y, and one divider goes parallel to the sides named y, and two dividers go parallel to x.

The two divisions parallel to x have lengths y, thus the fencing will take 4x. The three dividers parallel to y have lengths x, thus the fencing will take 3y.

The amount of fence needed to enclose the external and the internal divisions is

$P=4x+3y$

We know the total fencing is 1/2 miles long, thus

$\displaystyle 4x+3y=\frac{1}{2}$

Solving for x

$\displaystyle x=\frac{\frac{1}{2}-3y}{4}$

The total area of the pasture is

$A=x.y$

Substituting x

$\displaystyle A=\frac{\frac{1}{2}-3y}{4}.y$

$\displaystyle A=\frac{\frac{1}{2}y-3y^2}{4}$

Differentiating with respect to y

$\displaystyle A'=\frac{\frac{1}{2}-6y}{4}$

Equate to 0

$\displaystyle \frac{\frac{1}{2}-6y}{4}=0$

Solving for y

$\displaystyle y=\frac{1}{12}$

And also

$\displaystyle x=\frac{\frac{1}{2}-3\cdot \frac{1}{12}}{4}=\frac{1}{16}$

Compute the second derivative

$\displaystyle A''=-\frac{3}{2}.$

Since it's always negative, the point is a maximum

Thus, the maximum area is

$\displaystyle A=\frac{1}{12}\cdot \frac{1}{16}=\frac{1}{192}$

6 0

3 years ago

While you are drawing with the compass the cursor comes out of the circle on the top of the compass what should you do

VikaD [51]

Try to angle it out straight

6 0

3 years ago

What is the answer to this

LekaFEV [45]

$4 \dfrac{3}{5} \times \dfrac{5}{12} =$

$= \dfrac{23}{5} \times \dfrac{5}{12}$

You changed the mixed numeral into a fraction correctly.
Now you need to multiply the fractions.
Multiply the numerators together, and multiply the denominators together.

$= \dfrac{23 \times 5}{5 \times 12}$

Now we could multiply out the numerator and denominator, and then we'd need to reduce the fraction, but before we multiply, we see there is a factor of 5 both in the numerator and in the denominator, so we can reduce before we multiply.

$= \dfrac{23 \times 5}{12 \times 5}$

$= \dfrac{23}{12}$

$= 1 \dfrac{11}{12}$

6 0

3 years ago

Tyler has a baseball bat that weighs 28 ounces. Find this weight in kilograms and in grams.

brilliants [131]

Answer

28 ounces = 793.79 grams

28 ounces = 0.79 kilograms.

Step by step explanation

1 ounce = 28.3495 grams

Now let's convert 28 into grams.

Here we have to multiply 28 by 28.3495

28 x 28.3495 = 793.787 grams

Now let's convert 793.787 into kilograms

1 kilograms = 1000 grams

793.787 grams = 0.79 kilograms

5 0

3 years ago

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Consider the following expression 4x+5y+9+3y

worty [1.4K]

True statements: 1, 2, 3

3 0

3 years ago

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