How much simple interest will sean earn of $200 if he invest it for 3 years at 8% interest? ​

Answer:

$85.50

Step-by-step explanation:

Multiply: 57 times 150% (1.50)

57 times 1.50=85.5

85.5 as money is $85.50

Hope this helped!! :)

Brainliest?!?!

Stay safe and have a wonderful day/afternoon/night!!!

Answer:

BC = 24

Step-by-step explanation:

FD = 36, FE = 15 and CD = 18

By secant theorem.

DE • DF = CD • DB

(36 - 15) • 36 = 18 • DB

DB = 42

BC = DB - CD

BC = 42 - 18

BC = 24

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)

When the area in square units of an expanding circle is increasing twice as fast as its radius in linear units, the radius is E. Pi.

The area of a circle is given by the formula A = π\(r^2\), where A is the area and r is the radius. If the area of the circle is increasing twice as fast as its radius, we can express this relationship as:

dA/dt = 2(dr/dt)

Here, dA/dt represents the rate of change of the area with respect to time, and dr/dt represents the rate of change of the radius with respect to time.

Since we are considering an expanding circle, both dA/dt and dr/dt are positive.

Now, let's solve for the relationship between dA/dt and dr/dt:

dA/dt = 2(dr/dt)

π\(r^2\) = 2(dr/dt)

Dividing both sides by \(r^2\):

π = 2(dr/dt) / \(r^2\)

Simplifying further:

π = 2(dr/dt) / \(r^2\)

π = 2/r

Therefore, the relationship between the rate of change of the area and the rate of change of the radius is π = 2/r.

To find the value of r, we rearrange the equation:

r = 2/π

Thus, the radius is 2/π, which is approximately 0.6366.

To know more about area, refer here:

https://brainly.com/question/15906335

#SPJ4

Answer:

B

Step-by-step explanation:

f(x) = x+5 when x>0. f(5)=10

m is equal to 7

Step-by-step explanation:

trust me bro

Answer:

m=7

Step-by-step explanation:

\(\frac{m}{10}-\frac{1}{2}=\frac{1}{5}\)

\(\mathrm{Add\:}\frac{1}{2}\mathrm{\:to\:both\:sides}\)

\(\frac{m}{10}-\frac{1}{2}+\frac{1}{2}=\frac{1}{5}+\frac{1}{2}\)

\(\mathrm{Simplify}\)

\(\frac{m}{10}=\frac{7}{10}\)

\(\mathrm{Multiply\:both\:sides\:by\:}10\)

\(\frac{10m}{10}=\frac{7\cdot \:10}{10}\)

\(\mathrm{Simplify}\)

\(m=7\)

~Learn with Lenvy~

a) The relative growth rate (k) is 1.7.

b) The equation that models the size of the culture after t hours is:

N(t) = \(5 \times e^{((1/3) \times ln(27) \times t)\)

c) The population will reach 1215 after t hours, where t = 5.

To solve this problem, we can use the exponential growth formula for the bacteria culture:

N(t) = N₀ × \(e^{(kt)\),

where:

N(t) is the size of the culture after t hours,

N₀ is the initial size of the culture,

k is the relative growth rate, and

(a) Finding the relative growth rate (k):

We are given two data points:

N(3) = 135 and N(6) = 3645.

Using these points, we can set up a system of equations to solve for k.

N(3) = N₀ × \(e^{(3k)\) = 135,

N(6) = N₀ × \(e^{(6k)\) = 3645.

To simplify the calculations, let's divide the second equation by the first equation:

(N₀ × \(e^{(6k)\)) / (N₀ × \(e^{(3k)\) ) = 3645 / 135,

Simplifying further, we cancel out N₀:

\(e^{(6k - 3k)\) = 3645 / 135,

\(e^{(3k)\) = 27.

Taking the natural logarithm (ln) of both sides:

ln(\(e^{(3k)\) ) = ln(27),

3k = ln(27).

Dividing by 3:

k = (1/3) × ln(27).

k ≈ 1.7

Therefore, the relative growth rate (k) is 1.7.

(b) Finding the equation that models the size of the culture after t hours:

Using the information we found in part (a), the equation becomes:

N(t) = N₀ × \(e^{(kt)\)

Since we are given two data points, we can use either one to solve for N₀.

Let's use the first data point N(3) = 135.

Plugging in the values, we have:

135 = N₀ × \(e^{((1/3) \times ln(27) \times 3)\),

135 = \(N_o \times e^{(ln(27))\),

135 = N₀ × 27.

Simplifying further:

N₀ = 135 / 27,

N₀ = 5.

Therefore, the equation that models the size of the culture after t hours is:

N(t) = \(5 \times e^{((1/3) \times ln(27) \times t)\)

(c) When will the population reach 1215,

We need to solve the equation N(t) = 1215 for t.

Plugging in the values into the equation:

1215 = \(5 \times e^{((1/3) \times ln(27) \times t)\).

Dividing both sides by 5:

243 = \(e^{((1/3) \times ln(27) \times t)\)

Taking the natural logarithm (ln) of both sides:

\(ln(243) = (1/3) \times ln(27) \times t\)

Simplifying further:

t = (3 × ln(243)) / ln(27).

t = 5

Therefore, the population will reach 1215 after t hours, where t = 5.

Learn more about exponential growth click;

https://brainly.com/question/1596693

#SPJ4

Answer:

-19

Step-by-step explanation:

Simplify the following:

(2 - 3) 4×4 - 9/3

The gcd of -9 and 3 is 3, so (-9)/3 = (3 (-3))/(3×1) = 3/3×-3 = -3:

(2 - 3) 4×4 + -3

2 - 3 = -1:

-1×4×4 - 3

-4×4 = -16:

-16 - 3

-16 - 3 = -(16 + 3):

-(16 + 3)

16 + 3 = 19:

Answer:  -19

Answer:

the edge answer is 1 i had trouble finding it so i put it myself

Step-by-step explanation:

Answer:

The correct answer is "the term number, n."

Step-by-step explanation:

Answer:

Step-by-step explanation:

on edge!! dear student... you got this.. don't procrastinate and more importantly don't doubt yourself. You CAN and WILL make it to 100%

The particular solutions for the given non-homogeneous ODEs are: a) Ax^2 + Bx + C + D cos(3x) + E sin(3x),  b) A sin(5x) + B cos(5x),  c) Ax + B + Ce^(-2x) d) Ae^(cos(T7)) + B.

For the non-homogeneous ODE y" + y' - 2y = x^2 + cos(3x), a particular solution can be written as:

y_p(x) = Ax^2 + Bx + C + D cos(3x) + E sin(3x)

where A, B, C, D, and E are constants to be determined.

For the non-homogeneous ODE y" + 25y = 6 sin(5x), a particular solution can be written as:

y_p(x) = A sin(5x) + B cos(5x)

where A and B are constants to be determined.

For the non-homogeneous ODE y" + 4y' + 4y = 1 + 2 – 7e^(-2x), a particular solution can be written as:

y_p(x) = Ax + B + Ce^(-2x)

where A, B, and C are constants to be determined.

For the non-homogeneous ODE 2g" + 9 – 10g = re^cos(T7), a particular solution can be written as:

g_p(x) = Ae^(cos(T7)) + B

where A and B are constants to be determined.

To know more about non-homogeneous:

https://brainly.com/question/13110297

#SPJ4

Answer:

-5

Hope this helps!

Answer:

c

Step-by-step explanation:

The mistake made by Enduro is that he is supposed to divide both sides by -4 instead of adding 4 to each sides

Inequalities are expressions that have unequal values, when compared

The inequality is given as

-4x > 120

When 4 is added to both sides, the inequality becomes

4 - 4x > 120 + 4

The above is not the solution to the inequality.

The solution is as follows:

We have:

-4x > 120

Divide both sides inequality by -4

x < -30

Hence, the mistake made by Enduro is that he is supposed to divide both sides by -4 instead of adding 4 to each sides

Read more about inequality at:

https://brainly.com/question/24372553

#SPJ1

Answer:

4/3, -3

Step-by-step explanation:

Answer:

The correct answer is Option C: The solution to the system is (-4,3)

Step-by-step explanation:

We can observe the graph to find the solution of the system.

There are three solutions to a system of equation

In the given graph we can see that the two lines are only intersecting at one point so the system of equations has only one solution.

Observing the graph, we can see that the intersection point is (-4,3)

Hence,

The correct answer is Option C: The solution to the system is (-4,3)

Answer:

There are 2 solutions to square root x = 9

They are 3, and -3

Step-by-step explanation:

The square root of x=9 has 2 solutions,

The square root means, for a given number, (in our case 9) what number times itself equals the given number,

Or, squaring (i.e multiplying with itself) what number would give the given number,

so, we have to find the solutions to \(\sqrt{9}\)

since we know that,

\((3)(3) = 9\\and,\\(-3)(-3) = 9\)

hence if we square either 3 or -3, we get 9

Hence the solutions are 3, and -3

A function f is blank 1 of 1 linear on an interval ii if, for any choice of x1 and x2 in ii, with x1 < x2.

A function f is **question blank 1 of 1** linear on an interval **ii** if, for any choice of **x1** and **x2** in **ii**, with **x1** < **x2**, the function satisfies the properties of a linear function.t

In a linear function, the rate of change (slope) between any two points on the function is constant. This means that the function's value increases or decreases at a constant rate as we move along the interval.

The blank in the question refers to the specific term that should be filled. However, based on the given context, it seems that the most suitable term to fill the blank would be **"is"**. Therefore, the sentence would read as:

"A function f is linear on an interval ii if, for any choice of **x1** and **x2** in **ii**, with **x1** < **x2**, the function satisfies the properties of a linear function."

This statement highlights the key characteristic of a linear function, where the function's behavior between any two points on the interval is consistent and can be represented by a straight line.

Learn more about interval here

https://brainly.com/question/20309162

#SPJ11

The number of kilometres that are equivalent to 28.5 cm² is 2.85 × 10⁹ km². Hence, after careful consideration concerning every option, the required answer for the given question is Option A.

Here, we have to depend on the principles of conversation of units and using this principles derive a formula.

To convert 28.5 cm² to km², we have to implement the formula

Total number of square centimeters x 1.0 x \(E^{-10}\) = Total number of square kilometers .

The number of kilometres that are equivalent to 28.5 cm² is 2.85 × 10⁹ km². Hence, after careful consideration concerning every option, the required answer for the given question is Option A.

To learn more about kilometre,
https://brainly.com/question/1640140

#SPJ4

The complete statement is: First graph the parabola. The zeros of the quadratic are 1, and 3, the vertex is (2, -1). Draw the parabola with a dashed line and shade the interior of the parabola

The quadratic inequality is given as:

y > x^2 −4x+3

We start by plotting the graph of the inequality.

This is represented by y > x^2 −4x+3

See attachment for the graph of the inequality y > x^2 −4x+3

From the attached graph, we have the following properties:

Hence, the complete statement is:

First graph the parabola. The zeros of the quadratic are 1, and 3, the vertex is (2, -1). Draw the parabola with a dashed line and shade the interior of the parabola

Read more about parabola at:

https://brainly.com/question/1480401

#SPJ1

Answer:

If it walks like a duck and it talks like a duck, then it is a duck.

and

Either it does not walk like a duck or it does not talk like a duck, or it is a duck.

are logically equivalent to each other.

but neither of the two is logically equivalent to

If it does not walk like a duck and it does not talk like a duck, then it is not a duck.

Step-by-step explanation:

Given statements:

Statemen 1:

If it walks like a duck and it talks like a duck, then it is a duck.

Statement 2:

Either it does not walk like a duck or it does not talk like a duck, or it is a duck.  

Statement 3:

If it does not walk like a duck and it does not talk like a duck, then it is not a duck.

Let

Using p = it walks like a duck , q =it talks like a duck, r = it is a duck  the given statements can be written in symbolic form as:

Statement 1:  

p ∧ q → r

The ∧ symbol shows that if both p and q are true then, they imply r. This means both p and q together imply r

Statement 2:

~p ∨ ~q ∨ r

Here the statement p and q are negated and joined using or. So either negation p or negation of q or r (alternative)  

Statement 3:

~p ∧ ~q → ~r

The ∧ symbol shows that if both negation of p and negation of q are true then, they imply r. This means both negated p and negated q together imply negated r

Statement 1:

p ∧ q → r ≡ ~(p∨q) ∨ r               Using conditional equivalence p→q ≡ ~p ∨ q

              ≡ (~p ∧ ~q ) ∨ r          

You can see it is  equivalent to Statement 2 i.e. ~p ∧ ~q → ~r

Hence Statement 1 and Statement 2 are logically equivalent.

Now Statement 3:

~p ∧ ~q → ~r ≡ ~(~p ∧ ~q ) ∨ ~r   Using conditional equivalence p→q ≡ ~p ∨ q

                     ≡ ~(~p ) ∨ ~(~q ) ∨ ~r Using De Morgan's Law ~(p∧q) ≡ ~p ∨~q

                     ≡  p ∨ q ∨ ~r Using Double Negation Law ~(~p)≡p

This shows that Statement 3 is neither logically equivalent to Statement 1 nor logically equivalent to Statement 2.

Proof by truth table is attached. The table shows that the columns for Statement 1 and Statement 2 have same truth values.

Hence

"If it walks like a duck, and it talks like a duck, then it is a duck,"

and

"If it does not walk like a duck, and does not talk like a duck, then it is not a duck,"

are logically equivalent.

The table also shows that column for Statement 3 does not match with either of the columns for Statement 1 and Statement 2. So

If it does not walk like a duck and it does not talk like a duck, then it is not a duck.

is not logically equivalent to Statement 1 and Statement 2.

Answer:

duck walk

Step-by-step explanation:

It  takes 18.31s for the two window washers to reach the same height.

The equation of motion can be used which is

y= o.5gt^2 -vt =yo

g serves as the acceleration of gravity

vo serves as the  initial speed

yo serves as the  initial height

If we input the values , we have t= 18.31 secs.

Therefore  it takes 18.31s for the two window washers to reach the same height.

Learn more on Acceleration at:

brainly.com/question/1078669

#SPJ1

If the number of tomato growers in the market increases, it would generally lead to an increase in the supply of tomatoes increases.

The correct answer is A.

The correct answer is A.

For such more questions on tomatoes

https://brainly.com/question/17127567

#SPJ8

When a nonlinear system of equations contains one linear function that touches the quadratic function at its maximum, then the system has one solution

A system of equations is considered nonlinear if it contains at least one nonlinear equation. One linear function in a nonlinear system of equations touches the quadratic function at maximum. It illustrates one solution.

The given system of equation is presented as follows;

Linear function: f(x) = mx + c

Quadratic function: f(x) = ax² + bx + c

It should be noted that given that the linear function touches the quadratic function at maximum we have;

ax² + bx + c = 0

Therefore, if a nonlinear system of equations contains one linear function that touches the quadratic function at its maximum has one solution.

Learn more about nonlinear system of equations on:

https://brainly.com/question/11650202

#SPJ4

Answer:

p = 7

Step-by-step explanation:

(x² + px - 3)(3x - 5)

each term in the second factor is multiplied by each term in the first factor, that is

x²(3x - 5) + px(3x - 5) - 3(3x - 5) ← distribute parenthesis

= 3x³ - 5x² + 3px² - 5px - 9x + 15 ← collect like terms

= 3x³ +x²(3p - 5) - x(5p + 9) + 15

given the coefficient of the x- term is - 44 , then

-(5p + 9) = - 44 ← - (5p + 9) is th coefficient of x in the expansion

- 5p - 9 = - 44 ( add 9 to both sides )

- 5p = - 35 ( divide both sides by - 5 )

p = 7

It is given that area of rectangle of Kaitlin is 1500 sq.ft. with length 50 ft and a width of 30 ft.

The new area when new length 2 times the current length and the new width 2 times the current width.

a. The size of Kaitlin new patio is

b. The area of new patio is 4 times the area of current patio.

Answer:

12

Step-by-step explanation:

13^2=5^2+y^2

y^2=5^2-13^3

y^2=25-169

y^2=144

y=square root of 144

y=12

Answer:

12)

Step-by-step explanation:

For this, I used the Pythagorean Theorem, because I assumed that this was a right triangle. First of all, I first know that 13 would be the longest side in length. 13 x 13 = 169cm. Then I do the same with 5. 5 x 5 = 25cm. Finally, I subtract 25 from 169 to get 144. I then find the square root which would be 12. For more info, use the following formula:

a^2 + b^2 = c^2

Hope this helps!

-kiniwih426

Answer:

  d = 50h

Step-by-step explanation:

  distance = speed × time

Lumpy's distance (d) in miles, after driving h hours at 50 miles per hour, is given by ...

  d = 50h

The rate at which the concentration is changing 6 hours after the pill has been swallowed is approximately 0.872 units per liter of blood per hour.

To compute the rate at which the concentration is changing, we need to find the derivative of the function d(t) with respect to time (t) and evaluate it at t = 6 hours.

First, let's find the derivative of d(t):

d'(t) = [(350)(5t²+125) - (350t)(10t)] / (5t²+125)²

Next, let's evaluate d'(t) at t = 6 hours:

d'(6) = [(350)(5(6)²+125) - (350(6))(10(6))] / (5(6)²+125)²

Simplifying the expression:

d'(6) = [(350)(180+125) - (350)(60)] / (180+125)²

d'(6) = [(350)(305) - (350)(60)] / (305)²

d'(6) = [106750 - 21000] / 93025

d'(6) ≈ 0.872

Therefore, the rate at which the concentration is changing 6 hours after the pill has been swallowed is approximately 0.872 units per liter of blood per hour.

To learn more about derivative visit:

brainly.com/question/29144258

#SPJ11

Answer:

2;3, that is the ratio =)

Step-by-step explanation:

Answer:The answer would be 4 to 6 or 4:6

Answer:

8.5

Step-by-step explanation:

this is a right triangle so we could use the formula, which is Pythagorean theorem

so it is \(13.5^{2} -10.5^{2} =72\\\sqrt{72} =8.5\)

The minimum value of the given function f(x) = 16x² −16x+28 is 24.

The curve of a function has peaks and troughs called maxima and minima. A function may have any number of maxima and minima. Calculus allows us to determine any function's maximum and lowest values without ever consulting the function's graph.

To find the minimum value of the function f(x) = 16x² −16x+28 using the derivative method, you can start by taking the derivative of the function. The derivative of a quadratic function is given by:

f'(x) = 2ax + b

In this case, the derivative of the function f(x) is:

f'(x) = 2×16x - 16

To find the minimum value, we need to find the x value that makes the derivative equal to zero. Setting the derivative equal to zero and solving for x gives us:

216x - 16 = 0

32x = 16

x = 0.5

Now that we have the value of x that minimizes the function, we can plug this value back into the original function to find the minimum value:

f(0.5) = 16×(0.5)² - 16(0.5) + 28 = 4 - 8 + 28 = 24

Therefore, the minimum value of the function is 24.

Learn more about the Maxima and Minima of a Function here:

brainly.com/question/799846

#SPJ4

Answer:

\( \frac{ - 1}{3} w \leqslant - 5\)

\(w \leqslant - 5 \div \frac{ - 1}{3} \)

\(w \leqslant - 5 \times - 3\)

\(w \leqslant 15\)