4200 is deposited into a savings account that earns 4.5% simple interest for 6 years

Answer:

Step-by-step explanation: 5.) Circular shape.

     6.) Feet.

     7.) Circle.

     8.) The circumference is 9 and the radius is 18.

     9.)  By the way we would need to use The Circumference as 2 and the radius to be 9 to equal 18 for the radius circle.

Answer:

Step-by-step explanation:

Basically you just multiply everything together

1) 6.842

2) 2524.691522

3) 4321.4

4) 9370.2

5) 0.0999999

Best way to solve these questions is either a calculator or write the questions down and figure it out yourself. It isn't that hard.

Explanation on how to place the decimal places I found on a good website:

Decimals are multiplied as if they were whole numbers, and then the decimal point is placed in the product.

To find out where the decimal point should be placed, count the number of decimal places after the decimal point in each factor.

Multiply 0.7 by 0.352

   0.7      1 decimal place

0.352      3 decimal places

              A total of 4 decimal places

Once you have found the sum of the decimal places in each factor, you know how many decimal places the product will need after its decimal point. Starting at the far right of the number, move the decimal point toward the left that number of decimal places.

0.2464 (4 decimal places after the decimal point)

Dividing decimals

1.  Move the decimal point in the divisor to the right to make the divisor a whole number.  

2.  Move the decimal point in the dividend the same number of places to the right.  

3.  Place the decimal point in the quotient directly over the decimal point in the dividend for the final quotient.

4.  Divide as if working with whole numbers

Answer:

1. 3/4 = 0.75

2. 49/4 = 12.25

3. 4/3 = 1.3333

4. 27

5. 6

6. 28

7. 18

8. 7

9. 3

10. 21/4 = 5.25

The length of each board in inches is 30 inches

Given the dimension of the board which is 5 feet 3 inches long. If Leah divides the board into 4 equal pieces, this is equivalent to dividing the length and width of the board into two equal parts.

Length of each board = length of the original board/2

Width of each board = width of the original board/2

Convert feet to inches

1 feet = 12 inches

2.5feet = 12(2.5) = 30inches

Hence the length of each board in inches is 30 inches

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Answer:

200,000

Step-by-step explanation:

The current population: 50,000

Doubling time:70

Population after 280 years=?

280/70=4

50,000*4=200,000

Hope this helps ;) ❤❤❤

Answer: 800,000

Step-by-step explanation: 50,000x2=100,000. That is after 70 years. 100,000x2=200,000. This is after 140 years. 200,000x2=400,000. This is after 210 years. 400,000x2=800,000. This is after 280 years.

Answer:

40 cotton bags  and  120 peanuts bags

Step-by-step explanation:

Let cotton candy bags be x and peanuts bag be y

x + y = 160 ........from Theory 1

4x + 2.5y = $460 ...............from Theory 2

Making x the subject:

x + y = 160

x = 160 - y ...........equation 1

4x + 2.5y = $460

4x = $460 -  2.5y

x = ($460 -  2.5y)/4 ..............equation 2

Solving both equations simultaneously:

160 - y = ($460 -  2.5y)/4

4(160 - y) = $460 -  2.5y

640 - 460 = -  2.5y + 4y

180 = 1.5y

y = 180/1.5

y = 120

Therefore there are 120 peanuts bags.

Then the number of cotton bags are: x + y = 160

                                                            : x + 120 = 160

                                                            : x = 40 cotton bags

The function \(y = (\frac{1}{2})^x\) is a decreasing function.

The function \(y = (\frac{1}{2})^x\) is shallower from left to right.

The value of the function \(y = (\frac{1}{2})^x\) is unity at the y-intercept.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

The given function is \(y = (\frac{1}{2})^x\) which is an exponential function cause the exponent is the variable.

Now, At x = - 2 y = 4 ⇒ (- 2, 4),

x = - 1, y = 2 ⇒ (- 1, 2).

x = 0, y = 1 ⇒ (0, 1).

x = 1, y = 1/2 ⇒ (1, 1/2).

x = 2, y = 1/4 ⇒ (2, 1/4).

x = 3, y = 1/8 ⇒ (3, 1/8).

The function is a decreasing function as the value of x increases the value of the function is decreasing.

The function is shallower from left to right.

The value of the function is unity at y-intercept as anything raised to the zero power is 1.

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Answer:

least to greatest

.86, 8/9, .9

Answer:

.86,8/9,9 ttttttttttttttttttftfffff

Answer:

Step-by-step explanation:

7a - 4a

a = 8

so

7(8) - 4(8)

56 - 32 = 23

FINALLY! Someone asks for a step-by-step! TYSM!

Since a=8, we ae going to replace the a variables with 8.

7(8)-4(8)

7x8=56

4x8=32.

Now we subtract.

56-32=24.

---

hope it helps

The ladder will reach a Height of approximately 43.46 meters on the building.

To find out how high on the building the ladder will reach, we can use the Pythagorean theorem. The Pythagorean theorem states that 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 other two sides.

In this case, the ladder forms a right triangle with the ground and the building. The base of the ladder is 7 meters, the height of the building is what we need to find, and the length of the ladder is given as 44 meters.

Using the Pythagorean theorem, we can set up the equation:

(Height of the building)^2 + 7^2 = 44^2

Simplifying the equation, we have:

(Height of the building)^2 + 49 = 1936

Subtracting 49 from both sides, we get:

(Height of the building)^2 = 1887

To find the height of the building, we take the square root of both sides:

Height of the building = √1887

Calculating the square root of 1887, we find that the height of the building is approximately 43.46 meters.

Therefore, the ladder will reach a height of approximately 43.46 meters on the building.

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Answer:1.325

Step-by-step explanation:

Answer:

3b = x

Step-by-step explanation:

X is the product of 3 and b (3b).

The algebraic expression for the product of 3 and b will be 3b = x.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features

Given that the word expression is a product of 3 and b​. The expression can be written as below,

E = 3b

Therefore, the algebraic expression for the product of 3 and b will be 3b = x.

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Answer:

Step-by-step explanation:

For (a), you will use that 2 points that are closest to lying on the line which are the points located at (1, 14) and (7, 7).

For (b), you will use those 2 points to find the slope of the line using the slope formula:

\(m=\frac{7-14}{7-1}=\frac{-7}{6}=-1.167\)

For (c), you will use point-slope form to write the equation. Point-slope form is

\(y-y_1=m(x-x_1)\) where x and y stay x and y in the equation and x1 and y1 are replaced with one of the coordinates. Let's use (7, 7). Keep in mind that IT DOESN'T MATTER WHICH POINT YOU PICK...YOU WILL GET THE SAME EQUATION WITH EITHER ONE! And this is because both those points lie on the same line...the line for which we will write the equation.

We have m = -1.167, y = 7 and x = 7:

y - 7 = -1.167(x - 7)

That's the point-slope form of the line, but rarely is it ever left in that form. I've only seen it left in point-slope form in calculus. Most of the time, from point-slope form, you are asked to put it into slope-intercept form, and here is no exception. Putting the equation into slope-intercept form is the same thing as solving it for y. So let's get y all by itself on one side of the equals sign and everything else over on the other side. We also of course need to distribute into the parenthesis:

y - 7 = -1.167x + 8.169 and

y = -1.167 + 8.169 + 7 so

y = -1.167 + 15.169

That's your equation in slope-intercept form, so you're done!

Answer: cot(a)cot(ß)-1

Step-by-step explanation:

\(\csc\alpha\csc\beta\cos(\alpha+\beta)=(\sin\alpha)^{-1}(\sin\beta)^{-1}\cos(\alpha+\beta)\\=(\sin\alpha\sin\beta)^{-1}\cos(\alpha+\beta)\\=\frac{\cos\alpha\cos\beta-\sin\alpha\sin\beta}{\sin\alpha\sin\beta}\\=\frac{\cos\alpha\cos\beta}{\sin\alpha\sin\beta}-1\\=\cot\alpha\cot\beta-1\)

Hi there!

\(\large\boxed{cot(a)cot(b)-1}\)

We can begin by simplifying cos(a + b) to find an equivalent expression.

With a sum of angles identity for cosine, we can determine that:

cos(a + b) = cos(a)cos(b) - sin(a)sin(b)

In this instance, we have to multiply this expression by csc(a)csc(b). Therefore:

(csc(a)csc(b)) · (cos(a)(cos(b) - sin(a)sin(b))

Distribute:

(csc(a)(csc(b))(cos(a)(cos(b)) - (csc(a)csc(b))(sin(a)sin(b))

Rewrite csc as 1/sin to simplify:

(1/sin(a) * 1/sin(b))(cos(a)(cos(b)) - (1/sin(a) * 1/sin(b))(sin(a)sin(b))

Multiply:

cos(a)/sin(a) * cos(b)/sin(b) - 1/sin(a) * sin(a) * 1/sin(b)*sin(b) <--- = 1

We now have remaining:

cos(a) / sin(a) * cos(b)/sin(b) - 1

Simplify to cotangent:

cot(a) * cot(b) - 1

The volume of the solid formed by rotating the region inside the first quadrant enclosed by y=x⁴ and y=125x is 138438\(\pi\).

Let,

f(x) = 125x

g(x) = x⁴

Intersection points will be,

x⁴ = 125x

x = 0 , 3.3437

Volume V = \(\pi\)\(\int\limits^{3.34}_0{(125x)^{2} - x^8 } \, dx\)

=\(\pi\)\(\int\limits^{3.34}_0 {15625x^2-x^8} \, dx\)

=\(\pi\)[15625x³/3 - x⁹/9]₀³

=\(\pi\)[140625 - 2187]

= 138438\(\pi\)

The volume of the solid formed by rotating the region inside the first quadrant enclosed by two curves can be found using the method of cylindrical shells. This method involves cutting the solid into thin cylindrical shells and finding the volume of each shell. The sum of the volumes of the shells is equal to the volume of the solid.

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Kevin's kick can be considered the best among the four.

To determine the most impressive kick, we can compare the distances and heights achieved by each player.

Andre's kick reached a maximum height of 17 yards and landed 48 yards away from the goal.

Juana's kick followed the path y = -x + 14 - 24, where y represents the height of the ball in yards and x represents the horizontal distance from the goal line. From the graph, we can estimate that her kick landed about 38 yards from the goal and reached a maximum height of 14 yards.

Kevin's kick is shown in the graph, indicating that it landed approximately 19 yards from the goal and had a peak height of 20 yards.

Emiko's kick reached a maximum height of 18 yards and landed approximately 20 yards from the goal.

Considering these measurements, Kevin's kick stands out. It traveled the farthest, landing closest to the goal line, and it achieved the highest height, reaching 20 yards. Consequently, Kevin's kick can be considered the best among the four.

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Step-by-step explanation:

x = pounds birdseed

y = pounds sunflower seeds

x + y = 30

0.57x + 0.87y = 30×0.81

with this last trick (to calculate the full cost of the whole 30 pounds based on the targeted individual price per pound) we bring both constraints into the play.

from the first equation we get

x = 30 - y

and we use that in the second equation :

0.57×(30-y) + 0.87y = 30×0.81 = $24.30

17.1 - 0.57y + 0.87y = 24.3

0.3y = 7.2

y = 24

x = 30 - y = 30 - 24 = 6

she uses 6 pounds of birdseed and 24 pounds of sunflower seeds.

Answer:

Step-by-step explanation:

x^2 - 14x = -48

x^2 +48 -14 x

x^2 - 14x - 48 = 0

a = 1

b = -14

c = 48

x=8, x=6

Answer:

ind the slope of the original line and use the point-slope formula  y − y 1 = m ( x − x 1 )

to find the line parallel to  x + 4y = 28 .

Step-by-step explanation:

The quotient in polynomial form is C. x² - x ₊ 1.

In algebra, synthetic division is a method for manually performing Euclidean division of polynomials, with less calculation than long division.

The given problem is-

-3 | 1  2  -2  3

Using synthetic division method,

-3 | 1  2  -2  3

   |   -3    3  3

   |1   -1    1  6

So, the remainder from the calculation is 6 .

And the quotient polynomial is x² - x ₊ 1.

Hence, the correct answer for the given question is C. x² - x ₊ 1

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Answer:

x = 111       z = 76     y = 36

Step-by-step explanation:

Answer:

Step-by-step explanation:

V=lwh

3=12·7·7

3=196

d is the answer ¬∪¬

Answer:

Y=4 is a function

Step-by-step explanation:

And to me function is relation

Hope i got this right and have a great day :)

Answer: Yes

Step-by-step explanation:

Yes, y = 4, which is often written as f(x) = 4, is a function that means “take any input, and no matter what it is, produce an output of 4”.

Answer:

$1,420.11

Step-by-step explanation:

I just took the test and got it right

Cassidy's approximate monthly payment is $1420.11 if Cassidy is planning to obtain a loan from her bank for $210,000 for a new home option (D) is correct.

It is defined as the systematic way of representing of loan payments according to the time in which the principal amount and interest are mentioned in a list manner

It is given that:

Cassidy is planning to obtain a loan from her bank for $210,000 for a new home.

A fixed annual interest rate of 2.7% compounded monthly for 15 years.

The formula is:

\(P=\rm \dfrac{Fp(i)}{1-(1+i)^{-1}}\)

Plug all the values in the above formula:

\(P=\rm \dfrac{210000(2.7\%/12)}{1-(1+(2.7\%/12))^{-15\times12}}\)

After calculating:

P = $1420.11

Thus, Cassidy's approximate monthly payment is $1420.11 if Cassidy is planning to obtain a loan from her bank for $210,000 for a new home.

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Answer:

6.2 meters

Step-by-step explanation:

1) area = l*w

74.4 = 12x

x=6.2

Answer: The population

Answer:

What's the graph?

Step-by-step explanation:

Answer:

5(km)/1(hr)

Step-by-step explanation:

You multiply the 30 minutes to make one hour, and with that, you also multiply the 2.5 kilometers to get 5. You multiply the 2.5 because we multiply both sides of an equation.

Uniform line movement.

We have that the data is:

Time (t) = 30 m = 0.5 h

Distance (d)= 2.5 km

Speed (v) = ?

Since it asks us for the speed in Km/h, we make a time conversion, from minutes to hours. Knowing that 1 hr = 60 minutes, then

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{30 \not{m}*\left(\frac{1 \ h}{60 \not{m})\right)=0.5 \ h } } \end{gathered}$}}\)

To calculate the speed, divide the distance by the time. We apply the following formula:

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{Speed=\frac{Distance}{Time} } \end{gathered}$}}\)

We substitute our data in the formula and solve:

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V=\frac{d}{t} } \end{gathered}$}}\)

\(\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V=\frac{2.5 \ km}{0.5 \ h} } \end{gathered}$}}\)

\(\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{V=5 \ km/h} \end{gathered}$} }}\)

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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