How much would $300 invested at 7% interest compounded continuously be
worth after 4 years? Round your answer to the nearest cent.
A. $306.53
B. $384.00
C. $396.93
D. $347.09​

Answer:

It is gonna be B not very sure

Answer:

b.60

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

Calculators help :)

To divide 2 1/2 by 3 3/4, convert the mixed numbers to improper fractions, change division to multiplication of the inverse, multiply, and simplify the result to 2/3.

To divide and simplify the expression 2 1/2 divided by 3 3/4, we begin by converting the mixed numbers into improper fractions. The mixed number 2 1/2 becomes 5/2 (2 times 2 + 1), and 3 3/4 becomes 15/4 (3 times 4 + 3).

Next, we use the rule for dividing fractions: invert the second fraction and change the division to multiplication. Therefore, the division becomes 5/2 times 4/15. We can now multiply the numerators together and the denominators together, resulting in 20/30.

To simplify, we can reduce the fraction by dividing both the numerator and the denominator by the greatest common factor, which is 10. Simplifying gives us 2/3, the final answer.

Answer:

the answer should be 2.5

To find the lateral area of the given rectangular pyramid, calculate the perimeter of the base, determine the slant height using the Pythagorean theorem, and then apply the lateral area formula. The lateral area is approximately 45.4 cm².

To find the lateral area of a regular rectangular pyramid with base edge length 2.5 cm and height 9 cm, follow these steps:

Thus, the lateral area of the pyramid is approximately 45.4 cm².

Answer:

x=10

Step-by-step explanation:

8x+30=110

8x+30-30=110-30

8x=80

8x/8=80/8

x=10

hope this helps

please mark me brainliest it would help(✿◠‿◠)

Answer:

10 =8

Step-by-step explanation:

The two angles are vertical angles and we know that vertical angles are equal

110 = 8x +30

Subtract 30 from each side

110-30 = 8x+30-30

80 = 8x

Divide each side by 8

80/8 = 8x/8

10 =8

Answer:

A) resturant is at (-4,5)

A)the equation is: [tex](x-0)^2+(y-0)^2=6^2[/tex]

B) Consuela can get free delivery

Step-by-step explanation:

see picture

Let's make a table of differences

0 3 8 15 24

3  5 7  9

 2  2  2

Constant second difference means a quadratic polynomial,

f(n)=an² + bn +c

f(1)=0, f(2)=3, f(3)=8

0 = a+b+c

3 = 4a + 2b + c

8 = 9a + 3b + c

Subtracting pairs

3 = 3a+b

5 = 5a + b

Subtracting,

2 = 2a

a = 1

b = 5 - 5a = 0

c = -a-b = -1

f(n)=n² -1

Duh, shoulda noticed that at the beginning.

f(17)=17²-1 = 288

a₁ =5

aₙ = aₙ₋₁ - 7

aₙ = a₁ + d(n-1)

aₙ = 5 - 7(n-1)

a₇ = 5 - 7(6) = -37

Answer: -37

Slope-intercept form:  y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

For lines to be perpendicular, their slopes have to be the negative reciprocal of each other. (Basically flip the sign +/- and the fraction(switch the numerator and the denominator))

For example:

Slope = 2 or [tex]\frac{2}{1}[/tex]

Perpendicular line's slope = [tex]-\frac{1}{2}[/tex]   (flip the sign from + to -, and flip the fraction)

Slope = [tex]-\frac{3}{4}[/tex]

Perpendicular line's slope = [tex]\frac{4}{3}[/tex]  (flip the sign from - to +, and flip the fraction)

y = 1/3x + 4        The slope is 1/3, so the perpendicular line's slope is [tex]-\frac{3}{1}[/tex] or -3.

Now that you know the slope, substitute/plug it into the equation:

y = mx + b

y = -3x + b       To find b, plug in the point (1, 2) into the equation, then isolate/get the variable "b" by itself

2= -3(1) + b     Add 3 on both sides to get "b" by itself

2 + 3 = -3 + 3 + b

5 = b

y = -3x + 5

The equation of the line that passes through (1,2) and is perpendicular to the line (y = 1/3x + 4) is (y = -3x + 5) and this can be determined by using the given data.

Given :

The line that passes through (1,2) and is perpendicular to the line (y = 1/3x + 4).

The following steps can be used in order to determine the equation of the line:

Step 1 - When two lines are perpendicular to each other then their slopes are:

mm' = 1

where m and m' are the slopes of the lines.

Step 2 - So, the slope of the line which is perpendicular to the line (y = 1/3x + 4) is:

[tex]\rm \dfrac{1}{3}\times m' = -1[/tex]

m' = -3

Step 3 - Now, the equation of a line that passes through the point (1,2) and has a slope -3 is:

[tex]\rm (y -2) = -3(x-1)[/tex]

Step 4 - Simplify the above equation.

y = -3x + 5

For more information, refer to the link given below:

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Answer:

1077

Step-by-step explanation:

Answer:

both are one

Answer:

det = 1 and det = 1

Step-by-step explanation:

just took the lesson on ed-genuity, these are both right :)

Answer:

14

Step-by-step explanation:

You fins the measure of angle C, and get 180-(118+22) = 40 degrees

You use law of sines, and get:

24/(sin40) = AC/(sin22)

Multiply both sides by sin(22)

24sin(22)/sin(40)=AC

Plug into a calculator, and get: 13.9868256738, which rounds to 14

Answer:

D

Step-by-step explanation:

Answer:

The answer is D: a and f

Step-by-step explanation:

Just did on edge :)

Answer:

B.

Step-by-step explanation:

Sorry I am late. Here's the answer for everybody else. :)

To convert 2 and 5/6 to a percent, convert the fraction to a decimal and add it to the whole number. Then multiply by 100 to find the percentage (approximately 283.3%).

In mathematics, to convert a mixed number like 25/6 to a percentage, you can first convert it to a decimal and then multiply by 100. The fraction can be converted into decimal by dividing the numerator by the denominator. In this case, 5 divided by 6 is approximately 0.8333. Since we have 2 whole and 0.8333, we can add them to get approximately 2.8333. By multiplying this by 100, we get 283.33% which we can take as an approximate value of 283.3% because it's the closest listed option in the question.

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Answer:

the answer is -1/3

Step-by-step explanation:

here is your step by step solution

Answer:

[tex]- \frac{1}{3} [/tex]

Step-by-step explanation:

The product of the gradients of perpendicular lines is -1.

Let the slope of the line perpendicular to line C be x.

(slope of Line C)(x)= -1

x= -1 ÷ (slope of Line C)

Let's find the slope of line C using the gradient formula.

[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]

Gradient of Line C

[tex] = \frac{ - 6 - ( - 12)}{ - 3 - ( - 1)} \\ = \frac{ - 6 + 12}{ - 3 + 1} \\ = \frac{-6}{ - 2} \\ = 3[/tex]

Thus substituting gradient of Line C= 3,

x= -1÷ (3)

x= [tex]- \frac{1}{3} [/tex]

Answer:

2.95 is bigger

Step-by-step explanation:

Always remember that each place after the integer in a decimal spot ends are all 0's.

This helps when we are comparing decimals.

In that case we really have:

2.9500 and 2.9490

Since 9500 is bigger than 9490, we can see that the one's digits are the same.

Since they are, 2.95 is the bigger number.

Answer:

a parabola is a curve often resembling a U and follows a mathematical equation

Step-by-step explanation:

for example:

Answer:

In mathematics, a parabola is a plane curve

Step-by-step explanation:

The radius of the oblique cone is; B: 3 units

Formula for the volume of an oblique cone is;

V = ¹/₃πr²h

where;

V is volume

r is radius

h is height

We are told that diameter is equal to the height. Thus;

diameter = 2r = h

Thus;

V = ¹/₃πr²(2r)

18π = ¹/₃πr²(2r)

r = ∛(18π * 3/2π)

r = 3 units

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The radius of the cone is approximately 3 units.

It is a shape of a Christmas tree where there is a base of radius r and a top point called the apex.

The volume of a cone is 1/3πr²h.

We have,

We know that the height of the cone is equal to the diameter of the base, which means h = 2r.

Substituting this into the formula for the volume, we get:

V = (1/3) x π x r² x (2r) = (2/3) x π x r³

We are given that the volume of the cone is 187 cubic units, so we can set up an equation:

(2/3) x π x r³  = 187

Multiplying both sides by 3/2π, we get:

r³ = (187 x 3)/(2π)

Taking the cube root of both sides, we get:

r = (187 x 3/(2π))^(1/3) ≈ 3.00

Therefore,

The radius of the cone is approximately 3 units.

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If discriminate is less than zero, the quadratic will have no real solution.

Answer: B

Answer:

Drink=5.75

Popcorn=1.83

Percentage for drink=75.9%

Step-by-step explanation

Let the popcorn be p

the drinks be d

6p+4d=34....(1)

12p+7d=66.25...(2)

Multiply (1) by 2

12p+8d=72....(3)

Substrate (2) from (3)

d=5.75

Substitute the value for d into (1)

6p+4(5.75)=34

6p+23=34

Substrate 23 from both sides

6p=11

Divide both sides by 6

p=1.83

So for one drink=$5.75

For one popcorn=$1.83

To determine the% for drink

5.75+1.83=7.58

5.75/7.58 ×100

575/7.58

75.858~75.9%

The percentage for drink is 75.9%

Answer:

the outlier is 20 and 24

Step-by-step explanation: An outlier, in mathematics, statistics and information technology, is a specific data point that falls outside the range of probability for a data set. In this Case 20 and 24 are outliers because they are not in the range of 58, 59, 63, 63, 65, 66. :) your welcome.

Answer:

The recipe makes 1/2 cup of salad dressing assuming that the salt and herbs do not make a difference.  Each serving has 1/12 of a cup.  I am not gifted in the number sentence and equation department

Step-by-step explanation:

1/3=2/6

         +

1/6=1/6

--------------

3/6=1/2

The recipe will make 1/2 cup of salad dressing. Each serving would have 1/12 cup of dressing.

To find out how many cups of salad dressing the recipe will make, we can add the quantities of olive oil and balsamic vinegar. We have 1/3 cup of olive oil and 1/6 cup of balsamic vinegar, so the total is 1/3 + 1/6 = 1/2 cup. Therefore, the recipe will make 1/2 cup of salad dressing.

To determine how much dressing there would be in one serving, we divide the total quantity of dressing (1/2 cup) by the number of servings (6). This can be represented as the number sentence: 1/2 ÷ 6 = 1/12 cup per serving.

Answer:

b. $9000

Step-by-step explanation:

Quick way of doing this:

10% is one-tenth. 10% of $180,000 is $18,000.

5% is half of 10%, so it's half of $18,000.

Answer: b. $9000

Conventional way of doing this:

To find a percent of a number, multiply the percent by the number. To change the percent to a decimal, move the decimal point of the percent two places left.

5% of $180,000 = 5% * $180,000 = 0.05 * $180,000 = $9,000

Answer: c. $9000

Mrs. Henderson's commission for selling a house worth $180,000 is $9000.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Mrs. Henderson sells houses. She gets a 5% commission on all sales.

∴ His commission for selling a house worth $180,000 is 5% of  $180,000 which is,

=(5/100)×180000.

= $9000.

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Answer:

34

Step-by-step explanation:

Answer:

C. 2(2x + 3)(2x - 3)

Step-by-step explanation:

[tex]8 {x}^{2} - 18 \\ = 2 \times 4 {x}^{2} - 2 \times 9 \\ = 2(4 {x}^{2} - 9) \\ = 2 \{( {2x})^{2} - ( {3)}^{2} \} \\ = 2(2x + 3)(2x - 3) \\ [/tex]

Final answer:

The expression 8x² - 18 is factored by first taking out the common factor of 2, and then applying the difference of squares formula to get the fully factored form, 2(2x + 3)(2x - 3). Option C is accurate.

Explanation:

To factor the expression 8x² - 18, we need to first take out the common factor. Here, we can see that both terms are multiples of 2. Thus, we can factor out a 2, which gives us:

2(4x² - 9)

Now, we recognize that the expression inside the parentheses is a difference of squares because 4x² is (2x)² and 9 is 32. A difference of squares can be factored into:

(a² - b²) = (a + b)(a - b)

Applying this to our expression, we get:

2((2x) + 3)((2x) - 3)

Hence, the fully factored form of the expression 8x² - 18 is:

2(2x + 3)(2x - 3) (Option C)

Step-by-step explanation:

Use Desmos

Answer:

no

Step-by-step explanation:

communitive propery unless there are (  )

If it is only multiplication, no it does not, but you should always go from left to right.

Answer:

Step-by-step explanation:

3ft x 5 ft x 6 ft

15 x 6 = 90 cubic feet

Step-by-step explanation:

To get the volume, you have to do LxWxH so its 3x5x6=90

so its 90 cubic feet.

Answer: m = 7 and b = 0

Step-by-step explanation:

y = mx + b is slope-intercept form

m = slope

b = y-intercept

You would put +0 on the end of the equation because it doesn't change anything