Find the required annual interest rate, to the
nearest tenth of a percent, for $1100 to grow to
$1400 if interest is compounded monthly for 7
years.

Answer:

12

Step-by-step explanation:

You simply add the coefficients together.
3 + 4 + 5 = 12

The expression that is equivalent to the given value would be = 18-i . That is option C.

An equivalent expression is defined as the type of expression that is similar to a given value when simplified.

The given expression = ( 3 + 4i) ( 2 - 3i)

Expand the given expression by removing the brackets as follows:

= =2(3+4i)−3i(3+4i)

=(6+8i)−(9i−12)

= (6+12)+i(8−9)

=18−i.

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Given:

Its a trinomial that are product of two binomials.

Option b, is the correct answer .

Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:

PV = A *\((1 - (1 + r)^(-n)) / r\)

Where:

PV = Present value

A = Annual payment or cash flow

r = Interest rate per period

n = Number of periods

In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).

Using the formula and substituting the given values, we can calculate the present value:

PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)

Calculating this expression:

PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)

= 13000 * (1 - 0.46318) / 0.10

= 13000 * 0.53682 / 0.10

= 6977.66 / 0.10

= 69776.6

Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

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Answer:

y = 10.5x - 8.25

Step-by-step explanation:

m = (44.25 - 12.75)/(5 - 2) = 10.5

y = mx + b

y = 10.5x + b

12.75 = 10.5 × 2 + b

b = -8.25

y = 10.5x - 8.25

Circumference of the circle = 88 cm

π = 22/7

The Diameter of the circle.

Circumference of circle = 2πr

r = radius

Circumference of the circle = 2πr = 88 cm

Circumference of the circle = πr = 88/2 = 44 cm

Circumference of the circle = r = 44 × 7/22 = 14 cm

r (radius) = 14 cm

d (diameter) = 2r = 2(14) = 28 cm

Diameter of the circle = 28 cm

The graph of f(x) is the second one, so the correct option is B.

Here we have f(x), a piecewise function, and we want to see which one of the four graphs is the correct one.

You can see that the first domain of the function is:

x ≤ -4

So we must have a closed circle at x = -4, when the parabola ends.

The second domain is:

-4 < x < 1

So x here is not equal to -4 nor 1, so this part starts and ends with open circles.

finally, the linear part starts with a closed circle.

Also, notice that the line has a negative slope, so it goes down, then we can discard the first option.

Then we can see that the correct option is the second graph.

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Answer:

can i have a photo, please?

Step-by-step explanation:

Answer:

$5.19

Step-by-step explanation:

10.33 × $2.51 = $25.93

$25.93÷5=$5.19

Using the unit circle to find sin 240 and cos 240, without using a calculator. The calculated results should match our approximations of -1/2 for sin 240 and -√3/2 for cos 240.

To find sin 240 and cos 240 without a calculator, we can use the unit circle, which is a circle with radius 1 centered at the origin in a two-dimensional coordinate system. The unit circle provides a convenient way to define the sine and cosine of an angle in terms of their coordinates on the circle.

The sine of an angle is the y-coordinate of the point on the unit circle corresponding to that angle, and the cosine of an angle is the x-coordinate of the point on the unit circle corresponding to that angle.

For an angle of 240 degrees, we can find the corresponding point on the unit circle by constructing a line from the origin to the point on the circle.

we can see that the y-coordinate of the point is negative, so sin 240 = -sin (240 - 180) = -sin 60 = -1/2.

The x-coordinate of the point is also negative, so cos 240 = -cos (240 - 180) = -cos 60 = -√3/2.

We can use a calculator to check our answers by entering sin(240) and cos(240) with parentheses around the 240, as requested by the calculator. The calculated results should match our approximations of -1/2 for sin 240 and -√3/2 for cos 240.

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Answer:

369

Step-by-step explanation:

One nickel = 0.05

0.05x=18.45

x=369

Answer:

One serving of oatmeal provides 4.6% of the daily recommended allowance of fat.

Step-by-step explanation:

3/65 ≅ 0.046 = 4.6%

One serving of oatmeal provides 4.6% of the daily recommended allowance of fat.

Answer:

Literally do a^2+b^2=x^2 and solve for x

let garden table be 1 unit.

1 unit + 1 unit+ 56 = 844

2 units+56=844

2 units=844-56=788

1 unit=788 divided by 2 =394

hence, cost of bench = 1 unit+56=394+56=450

hope it helps:))

The point on the parabola closest to (8, 1 + √2) is P(2(3 + 2√2), 11 + 8√2).

In mathematics, the point where a plane and a cone intersect is known as a parabola.

A parabola's shape makes it symmetrical about a single axis known as the axis of symmetry.

To find the point on parabola closest to the point (8, 1 + √2), we need to minimize the distance between the point and the parabola.

A point on the parabola y = x2 + 1 is designated as P(x, y).

The distance between P and (8, 1 + √2) is given by the distance formula:

d = √[(x - 8)² + (y - 1 - √2)²]

We want to minimize this distance by finding the values of x and y that minimize d.

Let f(x, y) = (x - 8)² + (y - 1 - √2)² and g(x, y) = y - x² - 1.

Our objective is to find the x and y values that minimise f(x, y) while observing the constraint g(x, y) = 0.

The Lagrange function is given by:

L(x, y, λ) = f(x, y) - λg(x, y)

By taking partial derivatives of L w.r.t x, y, and λ, we get:

∂L/∂x = 2(x - 8) - 2λx = 0

∂L/∂y = 2(y - 1 - √2) - λ = 0

∂L/∂λ = y - x² - 1 = 0

Solving these equations simultaneously, we get:

x = 4/(1 + λ)

y = x^2 + 1 = 16/(1 + λ)² + 1

λ = (2√2 - 1)/(1 + √2)

On substituting λ into the expressions -

x = 2(3 + 2√2)

y = 11 + 8√2

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Answer:

4

Step-by-step explanation:

Lets plug these points in:

\(\frac{((-2)-10)}{(2-5)} =\frac{-12}{-3} =4\)

Answer:

perimeter=70 ft

area=300 square ft

The domain of function f(x) is given as follows:

{x | 1 ≤ x < 5}.

The values of x of the function given at the end of the answer are as follows:

Hence the domain is given as follows:

{x | 1 ≤ x < 5}.

The function is given by the image presented at the end of the answer.

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Answer:

A - {x | 1 < x < 5}

Step-by-step explanation:

took the Quiz

Answer:

0 hundreds

0 tens

7 ones

.

4 tenths

0 hundredths

8 thousandths

Standard form=7.408

Step-by-step explanation:

Lets first solve (7x1)+(4x1/10)+(8x1/1000)

7+0.4+0.008

Simplify:

7.408

Answer:

A

Step-by-step explanation:

Answer:

$80

Step-by-step explanation:

400 times 20%= 80

400-80= 320

the cost of the computer on the weekend costed 320, so you save $80

Answer:

80$

Step-by-step explanation:

Answer:

x=42

Step-by-step explanation:

step 1: multiply 3 to both sides of the equation to isolate x

then you get x=14x3=42

x=42

Answer:

X=42

Step-by-step explanation:

14 * 3= 42

14 = x/3

14= 42/3

divide

14=14

Answer:

\(5\sqrt[3]{25}\)

Step-by-step explanation:

Let's factor to see if it's a perfect cube: 3 is a factor, so let's divide: \(1875:3 = 625\). 625 is no longer divisible by 3, but it is by 5, in particular it's \(5^4 = 625\). At this point we can start taking out of the cube root as much as we can:

\(\sqrt[3]{1875} = \sqrt[3]{3\times 5^4} = \sqrt[3]{3\times 5\times 5^3} = 5 \sqrt[3]{3\times5} = 5\sqrt[3]{25}\)

The value of the Integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

The length of the curve described by the function f(x) = 1 + 3x^2 + 2x^3 is to be found. The formula used to find the length of a curve is:

L = ∫(sqrt(1 + [f'(x)]^2))dx where f'(x) is the derivative of f(x)We have to first find f'(x):f(x) = 1 + 3x^2 + 2x^3f'(x) = 6x + 6x^2

The integral becomes:L = ∫(sqrt(1 + [6x + 6x^2]^2))dx = ∫(sqrt(1 + 36x^2 + 72x^3 + 36x^4))dx The integral appears to be difficult to evaluate by hand.

Therefore, we use software like Mathematica or Wolfram Alpha to solve the problem. Integrating the expression using Wolfram Alpha gives:

L = 1/54(9sqrt(10)arcsinh(3xsqrt(2/5)) + 2sqrt(5)(2x^2 + 3x)sqrt(9x^2 + 4))The limits of integration are not given. Therefore, the definite integral  be solved.

We can, however, find a general solution. We use the above formula and substitute the limits of integration.

Then, we subtract the value of the integral at the lower limit from the value of the integral at the upper limit to get the length of the curve.

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Answer:

75435912

Step-by-step explanation:

1495486+73940426

= 75435912

Answer:

75,435,912

Step-by-step explanation:

=> 1495486 + 73940426

Using Calculator

=> 75,435,912

Answer:

Step-by-step explanation:

Given data

mass of rock, m= 200 kg

height/distance = 3 m

Now we know that the expression for work done is

w= force* distance

and also we need to find the force exerted by mass of rock

F= mg

Substituting our data and solving for force we have (assuming g= 9.81 m/s^2)

Force= 200*9.81

Force= 1962 N

Now we can find the work done

work done= 1962*3

work done= 5880 joules

The work done should be 5880 joules

Since there is the mass of the rock is 200 kg

And, the height is 3 m

Now we know that

work done = force (distance)

Also,

F= mg

= 200(9.81)

=  1962 N

Now the work done is

= 1962(3)

= 5880 joules

Hence, The work done should be 5880 joules

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The length of the hypotenuse of the sail is 18.30 feet long.

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

a² + b² = c²

Given that the sail for his sailboat is a 45-45-90 Right Triangle. 15. The base of the sail is 10.5 ft. long.

a² + b² = c²

Therefore,

15² + 10.5² = c²

c² = 15² + 10.5²

c² = 225 + 110.25

c² = 335.25

c = 18.30

Thus, the hypotenuse is 18.30 feet long.

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Answer:

Your dead meat then...

Step-by-step explanation:

But I’m pretty sure its b?

sorry if it’s wrong

Answer:

the answer is c took this before

The minimum point on the graph is \((-6,25)\), which confirms that the function has a minimum at\(-6\).

In mathematics, a graph is a diagram that shows the relationship between different sets of data. It is made up of points, which are also called vertices or nodes, that are connected by lines or curves called edges or arcs.

In mathematics, a function is a relation between two sets of data, such that each input in the first set corresponds to exactly one output in the second set. In other words, a function maps each input value to exactly one output value.

According to given information:

Let's start by writing the quadratic function in factored form, given that it has zeros at \(-1\) and \(-11\):

\(f(x) = a(x- (-1))(x- (-11))\)

Simplifying, we get:

\(f(x) = a(x+1)(x+11)\)

To find the value of a, we need to use the fact that the function has a minimum at \(-5\). Since the vertex of the parabola is at the minimum point, we know that the x-coordinate of the vertex is \(-5\). Therefore, we can use this information to find the value of a as follows:

\(-5 = (-1+(-11))/2\\-5 = -6\)

This tells us that the axis of symmetry of the parabola is \(x =-5\). Since we know that the function has zeros at \(-1\) and \(-11\), we can deduce that the vertex must lie halfway between these two zeros, at\(x = -6\). Therefore, the value of a is:

\(f(-6) = a((-6)+1)(-6) +11) = a(5) (-1) = -5a\)

We also know that the function has a minimum at this point, so we can use this to find the value of a:

\(f(-6) = -5\\-5= -5a\\\\a = 1\)

Therefore, the quadratic function that satisfies these conditions is:

\(f(x) = (x+1) (x+11)\)

We can check that this function has zeros at \(-1\) and \(-11\), and that it has a minimum at\(x =-6\) by finding its vertex:

x-coordinate of vertex = \((-1 +(-11))/2 =-6\)

y-coordinate of vertex =\(f(-6) = (-6+1)(-6+11) = 25\)

Therefore, the minimum point on the graph is \((-6,25)\), which confirms that the function has a minimum at -6.

Which of the following function has zeros at \(-1\) and\(-11\) and a minimum of \(-5\) ?

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A graph of the inequality "y is less than negative one fourth times x minus 3" is: D. The graph shows a dashed line passing through the point negative 12 comma 0 and 0 comma negative 3, with shading below the line.

In order to determine the ordered pair that is included in the solution to this linear inequality, we would first of all translate the word problem into an algebraic equation as follows;

y is less than negative one-fourth times x minus 3 ⇒ y < -x/4 - 3.

Next, we would use an online graphing calculator to graphically solve the linear inequality. Therefore, the required solution for the given linear inequality is the shaded area below the dashed line, which is given by the ordered pairs (−12, 0) and (0, -3).

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Answer:

it’s D dotted line with shading below

Step-by-step explanation:

i got it on my quiz