Jake's flower bed has a length of 10 feet and a width offeet. Which of the following is true?8O The area of the flower bed is equal to 10 square feet.The area of the flower bed is larger than 10 square feet.O The area of the flower bed is equal to 8 square feet.The area of the flower bed is smaller than 8 square feet.

To find the total in the retirement account after 38 years of investing with monthly contributions and an interest rate of 4.99%, we can use the compound interest formula.

The formula for the future value of an investment with regular monthly contributions is given by:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value or the total in the retirement account.

P is the monthly contribution amount.

r is the monthly interest rate (annual interest rate divided by 12).

n is the number of monthly contributions (years invested multiplied by 12).

Let's calculate the total:

P = $225

r = 4.99% / 100 / 12 = 0.0041583 (monthly interest rate)

n = 38 * 12 = 456 (number of monthly contributions)

FV = $225 * [(1 + 0.0041583)^456 - 1] / 0.0041583

Using a financial calculator or spreadsheet, we can evaluate this expression to find the future value or total in the retirement account.

The calculated total may vary depending on the compounding frequency and rounding used.

Answer: 0

Step-by-step explanation:

1/2(2x+5)=3/4(x+1)+5/2

distribute 1/2 to 2x and 5

distribute 3/4 to x and 1

1/4x+5/2=5/2

subtract 5/2 to 5/2

1/4=0

multiply 1/4 by the reciprocal

4/1*1/4=0*4/1

Answer= 0

A point that represents the ordered pair (0, -3) is: D. Point G.

In Mathematics, an ordered pair is sometimes referred to as a coordinate and it can be defined as a pair of two (2) elements or data points that are commonly written in a fixed order within parentheses as (x, y), which represents the x-coordinate (abscissa) and the y-coordinate (ordinate) on the coordinate plane of any graph.

Based on the ordered pair (0, -3), we can logically deduce that the coordinates would be located in quadrant IV as shown in the image attached below.

Read more on ordered pair here: brainly.com/question/25462418

#SPJ1

Answer:

There were 378 students who chose to study French their freshman year. This means that 72% of the total number of students chose to study French their freshman year. Therefore, the total number of students must be 378 / 0.72 = 527.5. This means that there were 148.5 students who chose not to take French their freshman year.

Step-by-step explanation:

If you're familiar with surface integrals, start by parameterizing the surface by the vector-valued function,

r(u, v) = 3 cos(u) sin(v) i + 3 sin(u) sin(v) j + 3 cos(v) k

with 0 ≤ u ≤ 2π and 0 ≤ v ≤ arccos(1/√8).

Then the area of the surface (I denote it by S) is

\(\displaystyle\iint_S\mathrm dA = \int_0^{2\pi}\int_0^{\arccos\left(1/\sqrt8\right)}\left\|\dfrac{\partial\mathbf r}{\partial u}\times\frac{\partial\mathbf r}{\partial v}\right\|\,\mathrm dv\,\mathrm du \\\\ = \int_0^{2\pi}\int_0^{\arccos\left(1/\sqrt8\right)}9\sin(v)\,\mathrm dv\,\mathrm du \\\\ =18\pi \int_0^{\arccos\left(1/\sqrt8\right)}\sin(v)\,\mathrm dv = \boxed{\frac{9(4-\sqrt2)\pi}2}\)

Answer:

\(Brown = 2400\)

\(Feliz = 3384\)

\(Undecided = 216\)

Step-by-step explanation:

Given

\(N = 6000\) -- population

\(n = 250\) -- sample

From the sample, the proportions are:

\(B = 100\) -- Brown

\(F=141\) -- Feliz

\(U = 9\) -- undecided

Required

Describe the actual population

The actual is calculated using:

\(Actual = \frac{p}{n} * N\)

So, for Brown

\(Brown = \frac{100}{250} *6000\)

\(Brown = \frac{100*6000}{250}\)

\(Brown = \frac{600000}{250}\)

\(Brown = 2400\)

For Feliz

\(Feliz = \frac{141}{250} * 6000\)

\(Feliz = \frac{141* 6000}{250}\)

\(Feliz = \frac{846000}{250}\)

\(Feliz = 3384\)

For undecided

\(Undecided = \frac{9}{250}*6000\)

\(Undecided = \frac{9*6000}{250}\)

\(Undecided = \frac{54000}{250}\)

\(Undecided = 216\)

Answer: An acute angle

Step-by-step explanation: An acute angle is an angle that measures 89 degrees or less (Less than 90 degrees). Another way to define acute angles is any angle that is smaller than a right angle.

It took Ringani 2.8 years  to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate Compounded annually.The correct answer choice is C. 2.8 years.

To determine how long it took Ringani to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into an account with a 7.04% interest rate compounded annually, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the final amount

P is the principal amount (initial deposit)

r is the interest rate (in decimal form)

n is the number of times the interest is compounded per year

t is the time in years

In this case, we have:

P = R8,500.00

A = R30,000.00

r = 7.04% = 0.0704 (in decimal form)

n = 1 (compounded annually)

We want to find the value of t.

Using the formula, we can rearrange it to solve for t:

t = (log(A/P)) / (n * log(1 + r/n))

Substituting the given values, we have:

t = (log(30,000/8,500)) / (1 * log(1 + 0.0704/1))

Calculating this using a calculator, we find that t is approximately 2.8 years.

Therefore, it took Ringani approximately 2.8 years (rounded to one decimal place) to accumulate the total amount of R30,000.00 by depositing R8,500.00 yearly into the account with a 7.04% interest rate compounded annually.

The correct answer choice is C. 2.8 years.

For more questions on Compounded .

https://brainly.com/question/31474686

#SPJ8

A parallelogram

P=2(a+b)

The answer is 64

P=2(a+b)=2·(24+8)=64

Answer: For meters it is 3,000

Step-by-step explanation: Do 120 x 25= 3,000

Step-by-step explanation:

120 x 25 = 3000

270 ➗ 25 = 10.8

120 ➗ 4 = 30

3000 ➗ 25 = 120

270 ➗ 10.8 = 25

By looking at the graph of the linear equation, we conclude that the y-value for x = -3, is y = -9

Here we have the graph of a linear equation. What the graph tells us is "what is the value of y for each value of x".

So, if we  want to find the value of y when we have x = -3, then:

Following these steps, you should be able to see that, when x = -3, the value of y is -9

So we conclude that the y-value for x = -3, is y = -9

If you want to learn more about graphs.

https://brainly.com/question/14323743

#SPJ1

The request dimensions of the rectangle for maximum area are,

Length of perimeter is, \(l = 41 m . ,\)

Width of perimeter is, \(w = 41m\)

The perimeter of a shape is defined as the total length of its boundary. The perimeter of a shape is determined by adding the length of all the sides and edges enclosing the shape. It is measured in linear units of measurement like centimeters, meters, inches, or feet.

Let \(l\) and \(w\) denote the length and width of the Rectangle.

Its Perimeter is \(2(l+w)\), which is given to be, 164.

\(l+w\) = 164/2

\(l+w\) =82                         (Equation-1)

Now, Area \(A\) of the Rectangle, is, given by,

\(A = lw\)

We can substitute equation-1,

\(A = l(82-l)\)

\(A = 82l-l^{2}\)

which is a function of \(l\),

So let us,

Write it as,

\(A(l) = 82l-l^{2}\)                 (Equation-2)

We are request to maximize \(A\).

We know that, for \(A_{max}\), \(A^{|}l\) = 0 , and \(A^{||} l\) < 0

We can equation-2,

\(A^{|}l\) = 0 ⇒ \(82-2l = 0\)

\(l = \frac{82}{2}\)

\(l = 41\)

Further,

\(A(l) = -2\) < 0, ∀\(l\) , and  in particular, for \(l = 41\) , too.

Thus, \(l = 41\) gives \(A_{max}\)

Hence, the request dimensions of the rectangle for maximum area are,

\(l = 41 m . ,\) and \(w = 82 -l = 41m\)

Therefore,

The request dimensions of the rectangle for maximum area are,

Length of perimeter is, \(l = 41 m . ,\)

Width of perimeter is, \(w = 41m\)

To learn more about Perimeter visit :

brainly.com/question/6465134

#SPJ4

Answer:

47

Step-by-step explanation:

Answer:

1/12 gallons

Step-by-step explanation:

We can determine how much more hot chocolate than apple cider die Joe serve by subtracting 1/12 from 1/6.

Step 1:  Since 1/12 has the bigger denominator and 6 * 2 = 12, let's give 1/6 the same denominator as 1/12 by multiplying the entire fraction by 2/2

(1/6) * (2/2) = 2/12

Step 2:  Now we can subtract 1/12 from 2/12:

2/12 - 1/12 = 1/12

Thus, Joel served 1/12 more gallons of hot chocolate than apple cider.

Given the indefinite integral:

Applying integration by trigonometric substitution:

Now we substitute into the equation u = arctan(2/5x)

Finally simplifying:

Answer:

The front-end estimation is a way to find the estimation of sums by rounded where you add the units and the decimal parts independently. For example

4.9 + 5.8

First, add the units, so

4 + 5 = 9

Then, the sum of the decimal parts are:

0.9 + 0.8

But 0.9 and 0.8 are closer to 1, so we can add them as:

1 + 1 = 2

Finally, the approximated answer will be:

9 + 2 = 11

This is not the exact answer but it is a good approximation.

By the product rule,

\(\dfrac{dy}{dx} = \dfrac{x-1}{x+1} \dfrac{d(7x^7-x^2)}{dx} + \dfrac{7x^7-x^2}{x+1} \dfrac{d(x-1)}{x+1} + (7x^7-x^2)(x-1) \dfrac{d\left(\frac1{x+1}\right)}{dx}\)

By the power and chain rules,

\(\dfrac{dy}{dx} = \dfrac{(x-1)(49x^6-2x)}{x+1} + \dfrac{7x^7-x^2}{x+1} - \dfrac{(7x^7-x^2)(x-1)}{(x+1)^2}\)

When \(x=1\), the first and last term vanish, and we're left with

\(\dfrac{dy}{dx}\bigg|_{x=1} = \dfrac{7 - 1}{1 + 1} = \dfrac62 = \boxed{3}\)

C = 2 π r

π = 3.14

2r = diameter

r = 4.5 in

C = 2 × 3.14 × 4.5

C = 28.26

Answer:

28.27433

Step-by-step explanation:

C≈28.27in Diameter

Using the formulas

C=2πr

d=2r

Solving forC

C=πd=π·9≈28.27433in  Diameter

Answer:

375 * 3/5 =225

375 - 225 = 150

150 * 1/3 = 50

150 - 50 = 100

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

12 + 12 =24

Hah thats all i got to say lolololol

Answer:

126

Step-by-step explanation:

131 + - 5 can either be;

131 + 5 = 136

131 - 5 = 126

The question is probably asking what is 131 plus negative 5, hence the correct equation is; 131 - 5, and the correct answer is 126.

28 to 42 means 28/42

We now reduce 28/42 to lowest terms.

28 ÷ 7 = 4

42 ÷ 7 = 6

We now have 4/6.

We now reduce 4/6.

4 ÷ 2 = 2

6 ÷ 2 = 3

Final answer: 2/3

Answer:

=no of children who like oatmeal/toatal population*100%

=15/50*100%

=(1500/50)%

=30%

Step-by-step explanation:

Step-by-step explanation:

Hey there!

After looking at the figure we can state that;

X + 53° = 105°. { the exterior angle is equal to the sum of adjacent interior angle}

X = 105° - 53°

Therefore, X = 52°

Hope it helps...

A set of numbers that can represent the side lengths, in centimeters, of a right triangle is any set that satisfies the Pythagorean theorem, where the square of the hypotenuse's length is equal to the sum of the squares of the other two sides.

A right triangle is a type of triangle that contains a 90-degree angle. According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Let's consider a set of numbers that could represent the side lengths of a right triangle in centimeters.

One possible set could be 3 cm, 4 cm, and 5 cm.

To verify if this set forms a right triangle, we can apply the Pythagorean theorem.

Squaring the length of the shortest side, 3 cm, gives us 9. Squaring the length of the other side, 4 cm, gives us 16.

Adding these two values together gives us 25.

Finally, squaring the length of the hypotenuse, 5 cm, also gives us 25. Since both values are equal, this set of side lengths satisfies the Pythagorean theorem, and hence forms a right triangle.

It's worth mentioning that the set of side lengths forming a right triangle is not limited to just 3 cm, 4 cm, and 5 cm.

There are infinitely many such sets that can be generated by using different combinations of positive integers that satisfy the Pythagorean theorem.

These sets are known as Pythagorean triples.

Some other examples include 5 cm, 12 cm, and 13 cm, or 8 cm, 15 cm, and 17 cm.

In summary, a right triangle can have various sets of side lengths in centimeters, as long as they satisfy the Pythagorean theorem, where the square of the hypotenuse's length is equal to the sum of the squares of the other two sides.

For similar question on hypotenuse's.

https://brainly.com/question/30390037  

#SPJ8

The graphs of the functions f(x) and g(x) are attached with the answer.

       \(${\displaystyle G=\{(x,f(x))\mid x\in X\}.}\)

Given are the functions f(x) and g(x).

The given functions are -

f(x) = \($100(\frac{3}{5})^{x}\)

g(x) = \($100(\frac{2}{5})^{x}\)

Refer to the graphs of the function f(x) and g(x).

Therefore, the graphs of the functions f(x) and g(x) are attached with the answer.

To solve more questions on graphs, visit the link below -

https://brainly.com/question/18716486

#SPJ1

Answer:

Step-by-step explanation:

Answer:

\(\frac{16n^{6} }{m^{9} }\) is the answer

Step-by-step explanation:

Answer:

7.5

Step-by-step explanation:

if x+2 is the factor

suppose the equation to be f(x)

then f(-2) =0