If $740 is invested at an interest rate of 11% per year and is compounded continuously, how much will the investment be worth in 7 years?

Use the continuous compound interest formula A = Pert.

hope this helps. goodluck

Answer:

Answer is 6/10 and 12/20

Step-by-step explanation:

Let the numerator be x.

3/5=x/10

x=30/5

x=6

The required fraction is 6/10

Now same method applies for taking 20 as denominator

3/5=x/20

x=60/5

x=12

The required fraction is 12/20

Answer:

4

Step-by-step explanation:

I'm not sure what question you are asking about but the one you had answer is incorrect.

You are given the long side which is 2sqrt(3).

Compare this to xsqrt(3) and hopefully you see x is 2 and is the short side.

The hypotenuse is twice the short side measurement so 2(2)=4.

Answer: 4

Answer:

Step-by-step explanation:

48

This is a 30-60-90 triangle, and we are given the [tex]x[/tex] value for the triangle, which makes it easier.

The hypotenuse for a 30-60-90 triangle will always be [tex]2x[/tex], while the adjacent side for a 30-60-90 triangle will always be [tex]x*\sqrt{3}[/tex].

So the hypotenuse is 14, and the adjacent side is [tex]7*\sqrt{3}[/tex]/

49

This is also a 30-60-90 triangle, and we can use the rules explained above.

The x value is [tex]5*\sqrt{3}[/tex] so the hypotenuse is [tex]10*\sqrt{3}[/tex] and the adjacent side is 15.

51

This is also a 30-60-90 triangle, and the root three value is [tex]2*\sqrt{3}[/tex], making the x value 2 and the hypotenuse 4.

52

This is a 45-45-90 triangle, and the same side value is [tex]4*\sqrt{2}[/tex].

This means that the adjacent side is also [tex]4*\sqrt{2}[/tex] and the hypotenuse is 8.

Answer:

[tex]b=200(1.04)^{d}[/tex]

Step-by-step explanation:

we know that

The exponential function is of the form

[tex]y=a(b)^{x}[/tex]

where

a is the initial value

b is the base

In this problem we have

a=200 birds

b=100%+4%=104%=104/100=1.04

substitute

[tex]y=200(1.04)^{x}[/tex]

Let change of variables

[tex]b=200(1.04)^{d}[/tex]

where

b is the amount of birds in the flock

d is the number of days since the 200 birds started

Answer:

C) Domain: -3, -1, 0, 3

Range: -1, 0, 1, 2, 3

Step-by-step explanation:

Domain is using x values

Range is using y values

Five solutions of  y = 20x  with integer values for  x  ranging from -2 to 2 are (-2, -40), (-1, -20), (0, 0), (1, 20), and (2, 40).

To find five solutions of the equation  y = 20x , we can choose integer values for  x  starting with -2 and ending with 2, and then calculate the corresponding values of  y  using the given equation.

Starting with  x = -2 :

y = 20(-2) = -40

So, the first solution is (-2, -40).

Moving to  x = -1:

y = 20(-1) = -20

So, the second solution is (-1, -20).

At  x = 0 :

y = 20(0) = 0

So, the third solution is (0, 0).

Proceeding to  x = 1 :

y = 20(1) = 20

So, the fourth solution is (1, 20).

Finally, for  x = 2 :

y = 20(2) = 40

So, the fifth solution is (2, 40).

Therefore, the five solutions of the equation  y = 20x  with integer values for  x  ranging from -2 to 2 are:

(-2, -40), (-1, -20), (0, 0), (1, 20), and (2, 40).

[tex]n^2=\dfrac{1}{16}\\\\n=-\dfrac{1}{4} \vee n=\dfrac{1}{4}[/tex]

The probability that Joseph, Heidi, and Katy are chosen out of 15 people in the Latin club to wear togas to school to promote the club is 1/455.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given that three of the 15 people in the Latin club are chosen at random to wear togas to school to promote the club. Therefore, the number of ways 3 people can be chosen out of 15 is,

Number of ways to choose 3 people = ¹⁵C₃ = 455

Now, the number of ways Joseph, Heidi, and Katy can be chosen in only one way. Therefore, the probability that Joseph, Heidi, and Katy are chosen out of 15 people in the Latin club to wear togas to school to promote the club is,

Probability = 1 /455 = 0.002197

Hence, the probability that Joseph, Heidi, and Katy are chosen out of 15 people in the Latin club to wear togas to school to promote the club is 1/455.

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Answer:

Isolating the x.

Step-by-step explanation:

The first step to solving this problem is to isolate the variable, x.

To do so, subtract 8x and 5 from both sides.

Step #1)

5 - 2x < 8x - 3

5 (-5) - 2x (-8x) < 8x (-8x) - 3 (-5)

-2x - 8x < -3 - 5

-10x < -8

~

Answer:

x>4/5

Step-by-step explanation:

Subtract by 5 from both sides of equation.

5-2x-5<8x-3-5

Simplify.

-2x<8x-8

Subtract by 8x from both sides of equation.

-2x-8x<8x-8-8x

Simplify.

-10x<-8

Multiply by -1 from both sides of equation.

(-10x)(-1)>(-8)(-1)

Simplify.

10x>8

Divide by 10 from both sides of equation.

10x/10>8/10

Simplify, to find the answer.

8/10=4/5

x>4/5 is the correct answer.

I hope this helps you, and have a wonderful day!

Answer:

choice number 2) 10 in, 18.5 in 31.5 in

Step-by-step explanation:

we collect and evaluate the like terms.like terms means the ones that can be evaluated. like 2y and 7y are like terms. they either can be added or subtracted to get an answer . 7y-2y =5y. but you cant subtrac or add 7y  with 5 because they are not like terms.

2y +1 + 7y + 3y + 5 = 60

(2y+7y+3y)+(1+5) = 60

12y + 6 = 60

The 6 crosses the equal sign to the other side because of like terms.And becomes a minus

12y = 60 - 6

12y = 54

y = 4.5

so,

2y +1= 2 x 4.5 + 1 =10

7y = 7 x 4.5 = 31.5

3y + 5= 3 x 4.5 + 5 =18.5

Answer is 10 in, 18.5 in, 31.5 in

If you need any clarification or more explanation pls do mention at the comment section so that i can help more thx

Hope this helps and if it does pls mark as branliest answer thx

Answer:

16

Step-by-step explanation:

cos60°=8/x

x=8/cos60°

Answer:

n=m(x)

Step-by-step explanation:

n is the dependent variable m is the independent variable.

how many cartons, depends on how many liters are in a carton.

how many he needs to buy= the amount in carton× how ever much is in his recipe

for example

if they're are let's say 1.5 liters per carton than m=1.5. and if he needs 15 liters than n= 15

than the equation is

[tex]15 = 1.5 \times x[/tex]

x is how many cartons he needs to buy

solve for x by dividing both sides of the equation by 1.5

[tex]15 \div 1.5 = x[/tex]

and x=10 in this scenario

Answer:

Distance = 3r

Step-by-step explanation:

We are to write an algebraic expression and then simplify it for the given situation:

The distance traveled by a train in three hours with a constant speed of r miles per hour.

We know the formula of distance linking the speed and the time.

Distance = speed × time

Substituting the given values to get:

Distance = r × 3

Distance = 3r

Answer: The missing term for W is 10.5.

Step-by-step explanation:

W + 9/6 = 12

W +9/6 - 9/6 = 12- 9/6

W = 12 - 1.5

W = 10.5

Answer:

B. 19,531

Step-by-step explanation:

Answer:

The correct answer is option (2) 19,531

Step-by-step explanation:

Given Data;

a = 1 (first term)

r = 5 (five offspring)

n = 7 ( number of hours)

Using the formula of a geometric progression, we have

S₇ = [tex]\frac{a(r^{n} - 1) }{r -1}[/tex]

Substituting, we have

S₇ = [tex]\frac{1(5^{7} -1) }{5-1}[/tex]

S₇ = 78124/4

    = 19531

Therefore, there are 19531 number of organisms at hour seven.

Answer:

x = 1 + √6

x = 1 - √6

The two values of x that are roots to the given equation are [tex]x= -1 + \sqrt{6}[/tex] and [tex]x= -1 - \sqrt{6}[/tex]

From the question,

We are to determine the values of x that are roots to the quadratic equation x² +2x -5=0

Using the quadratic formula

[tex]x= \frac{-b \pm \sqrt{b^{2} -4ac} }{2a}[/tex]

From the given equation x² +2x -5=0

[tex]a = 1, \ b = 2, \ and \ c=-5[/tex]

Putting the values into the equation, we get

[tex]x= \frac{-(2) \pm \sqrt{(2)^{2} -4(1)(-5)} }{2(1)}[/tex]

This becomes

[tex]x= \frac{-2 \pm \sqrt{4 --20} }{2}[/tex]

[tex]x= \frac{-2 \pm \sqrt{4+20} }{2}[/tex]

[tex]x= \frac{-2 \pm \sqrt{24} }{2}[/tex]

Then,

[tex]x= \frac{-2 \pm 2\sqrt{6} }{2}[/tex]

∴ [tex]x= -1 \pm \sqrt{6}[/tex]

[tex]x= -1 + \sqrt{6} \ OR \ x= -1 - \sqrt{6}[/tex]

Hence, the two values of x that are roots to the given equation are [tex]x= -1 + \sqrt{6}[/tex] and [tex]x= -1 - \sqrt{6}[/tex]

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[tex]\dfrac{3}{5x}+\dfrac{9}{5x}=\dfrac{12}{5x}[/tex]

The sum of the given expression will be equal to 12 / 5x.

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

The given expression is:-

[tex]=\dfrac{3}{5x}+\dfrac{9}{5x}[/tex]

[tex]= \dfrac{3+9}{5x}[/tex]

[tex]=\dfrac{12}{5x}[/tex]

Therefore the sum of the given expression will be equal to 12 / 5x.

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Answer:

12.5698 (approximately 12.5, rounding to the nearest half)

Step-by-step explanation:

The area of a square is represented by the following equation:

[tex]A=a^2[/tex]

Whereas "a" represents the length of any one of the sides.

Since all sides of a square are equal in length, we can reverse engineer this formula to find the length of one side.

[tex]158=a^2[/tex]

Simply take the square root of both sides and you will have your answer.

[tex]12.5698=a[/tex]

To determine the length of one side of a square sign with an area of 158 feet, calculate the square root of the area which is approximately 12.57 feet.

A square sign has an area of approximately 158 feet. To find the length of one side of the sign, you need to calculate the square root of the area:

Side length = √(Area)

Side length = √(158) = 12.57 feet

Answer:

3

Step-by-step explanation:

3 pounds were picked per hour

Answer: Hello there!

We know that the number of blueberries picked varies directly as the number of hours worked.

Direct variation means that: b = kh

where b is the number of blueberries, k is a constant of proportionality and h is the number of hours worked.

we know that in 10 hours there are 30 pounds of blueberries collected, then we can replace these numbers in the equation and solve it for k. And you want that I don't include units in the answer, so I will not include them.

30 = k*10

k = 30/10 = 3

Then the constant of proportionality is 3, whit is the amount of punds of blueberrys collected in one hour.

Answer:

 (x-2)(x-7)

Step-by-step explanation:

x2 – 9x + 14 = x² - 2x - 7x + 14

                    = x(x-2) - 7(x-2)

                    = (x-2)(x-7)

Answer:

Factor of x² – 9x + 14 is:

(x-2)(x-7)

Step-by-step explanation:

We have to find the factors of:

x² – 9x + 14

On splitting the middle term, we get

x² -7x -2x +14

which could also be written as:

x(x-7)-2(x-7)

which is equivalent to:

(x-2)(x-7)

Hence, Factor of x² – 9x + 14 is:

(x-2)(x-7)

Answer:

Step-by-step explanation:

what is the finance charge?

Answer:

n = 8.

Step-by-step explanation:

I am assuming that the sum is 255.

The last term is 128 and the common ratio is 2 so we can work backwards until we reach a sum of 255.

Term n = 128 so the previous term must be 128/2 = 64.

So following this pattern we have:

128 + 64 + 32 + 16 + 8 + 4 + 2 + 1 = 255.

So we see that n = 8.

The marginal relative frequency of the number of people who prefer to read books is 0.42

Answer:

.42

Step-by-step explanation:

Option D which simplifies to 11y +17 = 11y -10 has no solution since the left and right sides of the equations aren't equal after simplifying.

We are tasked with determining which equation has no solution among the given options: A) 13y + 2 - 2y = 10y + 3 - y, B) 9(3y +7) - 2 = 3(-9y + 9), C) 32.1y + 3.1 + 2.4y - 8.2 = 34.5y - 5.1 and D) 5(2.2y + 3.4) = 5(y - 2) + 6y. The equation without a solution will be the one in which the variables cancel out and the remaining numbers are not equal.

Solving the equations, starting with A, by combining like terms, we have 11y + 2 = 9y + 3, this eventually gives us y = 0.5.  Option B, simplifying gives us 27y + 63 = -27y + 27, therefore y = -1.33. For C, we simplify to 34.5y + 3.1 = 34.5y - 5.1. Because both sides of the equation have equal coefficients for y, this results in 34.5y = 34.5y, which holds true for any value of y. Hence, the equation has infinitely many solutions. Option D simplifies to 11y +17 = 11y -10. Here, we see that 11y = 11y is true, however, the constants are not equal (i.e. 17 does not equal -10). Thus, option D is the equation with no solution.

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Answer:

(-2)3 = -8

-2 × -2 = 4

4 × -2 = -8

Step-by-step explanation:

-2 multiply 3 times

negative times a negative equals a positive

negative times positive equals a negative

see results below

-2 × -2 = 4

4 × -2 = -8

Answer:

It's the red figure.  This is because it is rotated 180 degrees.

Step-by-step explanation:

Please mark for Brainliest!! :D Thanks!!

For more questions or more information, please comment below!

Answer:

Option C.

Step-by-step explanation:

we have that

The correct question is

Louis calculated the height of a cylinder that has a volume of 486pie cubic centimeters and a radius of 9 centimeters her work is shows below

V=BH

STEP 1: 486pie=pie9^2h

STEP 2: 486pie=81pieh

STEP 3: 486pie/81pie=81pie/81pie h

STEP 4: h=6pie cm

what error did Louise make when calculating the height of the cylinder

A. in step 1 she substituted into the volume formula incorrectly

B. in step 2 she calculated 9^2 incorrectly

C. in step 4 the pie should have canceled making the correct answer 6 cm

D. Louise correctly calculated the height of the cylinder

we know that

The volume of the cylinder is equal to

[tex]V=Bh[/tex]

where

B is the area of the base

h is the height of the cylinder

we have

[tex]V=486\pi\ cm^{3}[/tex]

[tex]r=9\ cm[/tex]

Find the area of the base B

[tex]B=\pi r^{2}[/tex]

substitute

[tex]B=\pi (9)^{2}[/tex]

step 1

substitute the values in the formula of volume

[tex]486\pi=\pi (9)^{2}h[/tex]

step 2

[tex]486\pi=81\pi h[/tex]

step 3

Divide both sides by 81π

[tex]486\pi/81\pi=81\pi h/81\pi[/tex]

step 4

Simplify

[tex]6=h[/tex]

rewrite

[tex]h=6\ cm[/tex]

therefore

In step 4 the pie should have canceled making the correct answer 6 cm

Answer:

In step 4, the x should have canceled, making the correct answer 6 cm.

Answer:

a = b

b = c

So they're all equal, therefore a would be the same as c

Step-by-step explanation:

Answer: True

Step-by-step explanation: Since a||b and b||c, a||c is correct a is b and b is c.

Answer:

slope = [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (2, 4) ← 2 points on the line

m = [tex]\frac{4+1}{2-0}[/tex] = [tex]\frac{5}{2}[/tex]

Answer:

First, third, fourth and fifth statements describe a parabola

Step-by-step explanation:

The correct statements are:

A parabola is the set of all points equidistant from the directrix and focus.

The focus is a fixed point inside the parabola.

The line of symmetry intersects the focus and directrix.

The line of symmetry and the directrix are perpendicular.

Answer:

1, 3, 4, and 5 are the correct answers.

2 and 6 are not.

Answer:

It's B

Step-by-step explanation:

B,     16x2-9y2

Answer:  The correct option is (B) [tex]16x^2-9y^2.[/tex]

Step-by-step explanation:  We are given to find the following product :

[tex]P=(4x+3y)(4x-3y)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

To find the given product, we will be using the following formula :

[tex](a+b)(a-b)=a^2-b^2.[/tex]

The product (i) can be calculated as follows :

[tex]P\\\\=(4x+3y)(4x-3y)\\\\=(4x)^2-(3y)^2\\\\=16x^2-9y^2.[/tex]

Thus, the required product is [tex]16x^2-9y^2.[/tex]

Option (B) is CORRECT.