Which of the given interest rates and compounding periods would provide the best investment?

5 1/4 % per year, compounded monthly

5 1/2 % per year, compounded semiannually

5% per year, compounded continuously

Answer:

we use to work out dividing a fraction by a whole number.

Answer:

48 minutes

Step-by-step explanation:

Jacob can wax 1/4 of the floor in 1 hour so we need to find how much he can do in 40 minutes

Since 40 in 2/3 of an hour we multiply 1/4 by 2/3

1/4*2/3

2/12

1/6

Jacob can do 1/6 of the floor in 40 minutes so that means his brother can do 5/6 of the floor in 40 minutes

we need to find that 1/6 more of floor he needs to do by dividing 5/6 by 5 and 40 by 5

5/6/5

5/6*1/5

5/30

1/6

40/5

8

It takes 8 minutes for his brother to do 1/6 of the floor so we add that to the original

40+8

48 minutes it takes for jacob’s brother to do the entire floor

Hopes this helps please mark brainliest

Answer:

The slope is 6

The slope-intercept form is y= 6x-1

Step-by-step explanation:

The exact values of two trigonometric functions are listed below:

Case A:  - 2√2 / 3

Case B: - 2√2 / 3

Case C: 7 / 9

Case D: 4√2 / 9

Case E: ± √6 / 3

In this problem we have the exact values of two trigonometric functions, and of which we need to determine the exact value of a set of trigonometric functions of more complexity, each of which can be found by understanding the nature of the trigonometric functions and trigonometric formulas.

Case A - cos α:

Since sin α > 0 for π / 2 < α < π, then cos α < 0. Then, by the fundamental formula:

cos α = - √(1 - sin² α)

cos α = - √[1 - (1 / 3)²]

cos α = - √(8 / 9)

cos α = - 2√2 / 3

Case B - sin β:

Since cos β < 0 for π < α < 3π / 2, then sin β < 0. Then, by the fundamental formula:

sin β = - √(1 - cos² β)

sin β = - √[1 - (- 1 / 3)²]

sin β = - 2√2 / 3

Case C - cos 2α:

cos 2α = cos² 2α - sin² 2α

cos 2α = (- 2√2 / 3)² - (- 1 / 3)²

cos 2α = 7 / 9

Case D - cos (α + β):

cos (α + β) = cos α · cos β - sin α · sin β

cos (α + β) = (- 2√2 / 3) · (- 1 / 3) - (1 / 3) · (- 2√2 / 3)

cos (α + β) = 2√2 / 9 + 2√2 / 9

cos (α + β) = 4√2 / 9

Case E - sin (β / 2):

sin (β / 2) = ± √[(1 - cos β) / 2]

sin (β / 2) = ± √[[1 - (- 1 / 3)] / 2]

sin (β / 2) = ± √6 / 3

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Answer:

they will not be able to change the other owner of the property

Step-by-step explanation:

and the magazine costs m dollars Write down and other expenses for the ping by you

Answer:

376,404 copies sold.

Step-by-step explanation:

To find this answer, divide 33,500 copies by the 8.9%:

33,500 divided by 8.9% = 376404.494382

Now, if we round this number to the nearest whole number, it would be:

376,404 copies sold.

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

It cost £57.6 pounds to buy a 40 bottles of mango juice after 20% discount.

What  is discount?

 The difference between the purchase price and the item's par value is the discount. Discounts are different types of price reductions or deductions from a product's cost. It is frequently employed in consumer transactions when consumers receive discounts on a range of goods. The % discount rate is provided.

Here the cost of one bottle mango juice is £1.80 .

Then cost of 20 bottles mango juice = 20*1.80 = £36.

Now here we can get 20% discount then ,

=> cost of 20 bottles - 20% of cost of 20 bottles

=> 36- 20% of 36

=>36- [tex]\frac{20}{100}[/tex]*36

=>36-7.2

=>£28.8

Now here we have to buy 40 bottles then,

Cost of 40 bottles after 20% discount = 2*28.8=£57.6

Hence cost of 40 bottles of mango juice is £57.6.

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Answer:

  6.7 feet

Step-by-step explanation:

You want to know the height of a 9 ft ladder above the ground where it leans against a house, and its base is 6 ft from the house.

The Pythagorean theorem relates the side length of a right triangle. The geometry of this problem can be modeled by a right triangle with hypotenuse 9 ft and one leg 6 ft.

  a² +b² = c² . . . . sum of the squares of the legs is the square of the hypotenuse

  6² +b² = 9²

  b² = 81 -36 = 45

  b = √45 ≈ 6.708

The top of the ladder is about 6.7 feet above the ground.

Answer:

it may have an even chance

Answer:

8(4-a)=2a

32-8a=2a

32=10a....dividing through by 10a we get..

32/10=10a/10

3.2=a

answer is 3.2

We know that the problem we are going to be dealing with is an equation. The big question is, what should we do? What steps should be taken to get to the answer? There are several steps. One of them is expanding the equation. We can't solve until we expand the left side. So the way we're going to do it is: the distributive property. This one states that if you have an [tex]a[/tex] term multiplied by the sum of  [tex]b[/tex] and [tex]c[/tex] (the last two terms are in parentheses), then, in a sense, [tex]a[/tex] gets "distributed" and what results is this:

[tex]\darkblue{ab+ac}[/tex]. So now we apply that to our problem: [tex]8(4-a)=32-8a[/tex]. Now we make the replacement: [tex]32-8a=2a[/tex]. Then, notice that we have [tex]a[/tex] terms on both sides. What we do is we subtract [tex]2a[/tex] from the right and left and subtract [tex]32[/tex] from the left and add to the right: [tex]-8a-2a=-32[/tex]. Now let me share a little trick with you. First, we can add the [tex]a[/tex] terms together: [tex]-10a=-32[/tex]. Next, if you have minus signs on both sides, you clear them: [tex]10a=32[/tex]. Now divide both sides by 10. Here another trick comes into play: If you divide by 10 you move the decimal sign 1 place to the left.

[tex]a=3.2[/tex]

Now for the checking - put [tex]3.2[/tex] for [tex]a[/tex] and simplify. The answer should be a statement true for all values of [tex]a[/tex]. Let's go.

[tex]8(4-3.2)=2(3.2)[/tex]

[tex]8(0.8)=6.4[/tex]

[tex]6.4=6.4[/tex] is the result. Since the statement is true, we understand that the solution WAS correct and that [tex]3.2[/tex] IS the value of [tex]a[/tex] in the equation [tex]8(4-a)=2a[/tex].

Answer:

3: alternate exterior angles 4: supplementary angles

Step-by-step explanation:

3: that are outside and are on dif sides

4: they are interior and add up to 180 degrees

maximum height reached by the object is 100 feet.

Height of the building is 96 feet.

Appropriate domain is 0 ≤ x ≤ 3.

Given,

function for the height of the object above from ground is

[tex]f(x)=-16x^{2}+16x+96[/tex]

The domain can be determined for  x for which the value of f(x) = 0

Therefore, when [tex]-16x^{2}+16x+96=0[/tex], we get;

[tex]-16x^{2}+16x+96=0\\\\-16(x^2-x-6)=0\\\\x^2-x-6=0\\\\x^2+2x-3x-6=0\\\\(x+2)(x-3)=0\\\\x=-2 or x=3[/tex]

The minimum value of time, x is 0 and when x = 3, the object is on the ground.

Therefore;

The maximum value of f(x) = a·x² + b·x + c, is given at [tex]x=-\frac{b}{2a}[/tex]

Therefore;

[tex]x=-\frac{16}{2*-16}=\frac{1}{2}[/tex]

Substituting 'x in f(x) we get,

[tex]f(1/2)=-16(\frac{1}{2} )^{2}+16(\frac{1}{2} )+96\\=-4+8+96=100[/tex]

The height of the building is given when the time, x = 0, as follows;

Hence, the appropriate domain of the function is  0 ≤ x ≤ 3.

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Answer:

The y2 is over the number of x2 because y has to be larger then x because this says that o and p are both 0,0 so it is a slope angle through M.

Step-by-step explanation:

y2-2, x2-2, 2-25=23divided by 2 so its 11.5

The length of the side using the Pythagoras theorem is 4 mi

What is Pythagoras theorem?

Pythagoras theorem says sum of squares of side is equal to the square of the hypotenuse.

We are given one side of the triangle is 3 mi

And hypotenuse of the triangle is 5 mi

Let the another side of the triangle is x mi

By Pythagoras theorem,

3^2 + x^2 = 5^2

9 + x^2 = 25

x^2 = 16

x =4 mi

Using Pythagoras theorem the length of side of another side is 4cm

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Answer:

are you asking for all the answers to this

Step-by-step explanation:

The simple radical form is 72√2.

What is simple radical form?

If we know the prime factorization of 32, we can write the simplest radical form of the square root of 32. Thus, the prime factorization of 32 is 2 × 2 × 2 × 2 × 2. If it is written in the radical form, then the simplest radical form of the square root of 32 is 4√2. Square Root of 32 in Radical Form: 4√2.

Given,

3√2•2√8•√3•√6

= 3×√2×2×√8×√3×√6

as we know √ab = √a√b

we can write, √8 = √2√4 and √6 =√2√3

we get,

=3×√2×√2×√4×√3×√3×√2

=3×2×2×3×√2

=72√2

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A scatter plot of the data is shown in the image attached below.

An equation for the least squares regression line (trend line) is y = -3.49x + 93.14

In order to determine a linear equation for the least squares regression line (trend line) that models the data points contained in the table (see attachment), we would have to use a scatter plot.

In this scenario, the number of absences would be plotted on the x-axis of the scatter plot while the algebra grade would be plotted on the y-axis of the scatter plot.

On the Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an equation for the trend line on the scatter plot.

From the scatter plot (see attachment) which models the relationship between the number of absences and algebra grade in the table, a linear equation for the least squares regression line (trend line) in terms of the problem is given by:

y = -3.49x + 93.14

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For the volume of through, the rate at which the water level (the depth) is decreasing, increases as more water is drawn from the trough and the rate at which water is being drawn from the through is 0.28cm/min

Volume:

Volume refers the mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface.

Given,

A horizontal trough is 16 meters long, and its ends are isosceles trapezoids with an altitude of 4 m, a lower base of 4 m, and an upper base of 6 m.

Here we need to find the water level rising when the water is 2m deep if the water is being poured into the trough at the rate of10 m³/min.

While we looking into the given question we have identified that the values of length of the through, L = 16 m and the height of the through = 4 m

Lower base of the trapezoidal is a = 4 m

Upper base of the trapezoidal is b = 6 m

And the rate at which the water is decreasing at the depth of 3 m is 25 cm/min

Let us consider the length of the upper base at height is calculated as,

h = 4 + 2·x

So, the Volume of the through is,

=> Trapezoidal cross sectional area × Length

When we apply the value on the formula, then we get,

=> V = (4 + (4 + 2x)/2) x h

Now, if we include the water flow, then it can be written as,

=>  V = (4 + (4 + 2x)/2) x h x L

Apply the value of L as 16, then we get,

=>  V = (4 + (4 + 2x)/2) x h x 16

When we simplify this one then we get,

=> V = 8h (8 + 2x)

When we expand it then we get

=> V = 64h + 16hx

Here the value of x is  not given, however we can express x in terms of h from Figure 3 using

So, by using the similar Triangles concept, we can get the value f x as,

=> x/h=1/4

=> 4x=h

Therefore,  x = h/4

Now, Substituting x=h/4 into the Volume, V

=> V = 64h + 16h (h/4)

=> V = 64h + 4h²

When we differentiate this one, then we get,

=> dV/dt = 64 dh/dt + 8h dh/dt

Here we know that value of h=3m, dV/dt=25cm/min=0.25 m/min,

Then the equation is,

=> 0.25 = dh/dt (64 + 8 x 3)

=> 0.25 = 88 dh/dt

=> dh/dt = 0.002841m/min =0.28cm/min

Therefore, the rate is the water being drawn from the trough is 0.28cm/min.

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Answer:

[tex]b(5b^{3}+1)[/tex]

Step-by-step explanation:

[tex]-b(-b^{3} -1)+4b^{4} =b^{4}+b+4b^{4}[/tex]

                             [tex]= 5b^{4} + b[/tex]

                             [tex]= b(5b^{3}+1)[/tex]

The equation of the axis of symmetry will be x = -2 and the curve is drawn below.

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.

Then the equation of the parabola will be given as,

y = a(x - h)² + k

The equation is given below.

y = -3(x + 2)² + 1

The equation of the axis of symmetry will be given as,

x + 2 = 0

x = - 2

The equation of the axis of symmetry will be x = -2 and the curve is drawn below.

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The logarithmic equation for the time taken until the machinery has a value of $13,900 is x = log₁₉/₂₀ 1/2

Given,

A new hi tech 3D printer valued at $27,800 depreciates exponentially at a rate of 5%.

we are asked to determine the logarithmic equation for the time taken until the machinery has the value of $13,900 = ?

based on the conditions, we formulate:

27800 × (1 - 5%)ˣ = 13900

solve the equation.

27800 × (1 - 0.05)ˣ  = 13900

calculate the sum or difference.

27800 × 0.95ˣ  = 13900

Divide both sides of the equation by the coefficient of variable.

0.95ˣ  = 13900/27800

Reduce the fraction.

0.95ˣ = 1/2

convert exponential to logarithm form.

x = log₀.₉₅ 1/2

cross out the common factor.

x = log₉₅/₁₀₀ 1/2

x = log₁₉/₂₀ 1/2

hence we get the required equation.

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Answer:

2n

Step-by-step explanation:

2 x n = 2n

The estimate of the tax when a purchase is made in her city with a sales tax of 9.05% are as follows;

a) 10% converted to a fraction is [tex]\dfrac{1}{10}[/tex]

b) An estimate of the amount Felipa pays as tax is $9.5

An estimate is a rough calculation that gives a value that is close to the actual value.

a)The sales tax in her city = 9.05

The sales tax is approximately 10%

To convert 10% to fraction we have;

10% = 0.1

[tex]0.1 = \dfrac{1}{10}[/tex]

[tex]10\% = \dfrac{1}{10}[/tex]

b) The estimate sales tax that Felipa would pay on a dress of $95 can be found as follows;

10% of $95 is found as follows;

[tex]\dfrac{1}{10} \times \$95 = \$9.5[/tex]

10% of $9.5 is found as follows;

The estimate of her tax is $9.5

The actual amount she pays as tax is found as follows;

[tex]\dfrac{1}{10} \times \$9.5 = \$0.95[/tex]

0.0005 = [tex]\frac{5}{10000}[/tex]

[tex]\dfrac{5}{10000} \times \$95 = \$0.0475[/tex]

9.05% = 0.0905

0.0905 = 0.10 - 0.01 + 0.0005

Her tax is $9.5 - $0.95 + $0.0475 = $8.5975

Felipa's tax if she buys a dress of $95 is $8.5975

Part of the question, based on a similar question online, includes;

a) To convert 10% into fractions

b) To provide an estimate of the tax payable on a $95 dress

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The liquid in this case is found to have a density of 900 g/L.

The term density has to do with the ratio of the mass to the volume of the object. The density of an object is an intrinsic property of the material and it can be used to identify the kind of material that we have.

In this case we have;

Mass of the empty bottle =  500g

Mass of the bottle and the liquid = 1400 g

Volume of the bottle = 1.0 L

Mass of liquid = 1400 g - 500g = 900 g

Density of the liquid = mass/ volume

=  900 g/1 L = 900 g/L

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The height of Liberty School in ordinary form is 8850m and height of Festus school is 5890m  , the difference of the height of the schools is 2960m .

In the question ,

it is given that

the height of the Liberty school is 8.85×10³m .

we have to convert this height in the ordinary form ,

8.85 × 10³ = (885/100) × 1000

= 885 × 10

= 8850m

The height of the Festus school is 5.89 × 10³ m

in ordinary form it is

= 5.89×10³

= (589/100) × 1000

= 589 × 10

= 5890m

The difference in the height of the schools = (height of the Liberty school) - (height of Festus school) .

So , the difference = 8850 - 5890

= 2960m

Therefore , the height of Liberty School is 8850m and height of Festus school is 5890m , the difference of the height of the schools is 2960m.

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Answer:

(4,6)

Step-by-step explanation:

PLS MAKE BRAINLIEST

Answer:

  10.4 years

Step-by-step explanation:

Given the population of a small town is initially 13000 and decreasing at the rate of 4% per year, you want to know the number of years it will take for the population to reach 8500.

The equation for exponential decay is ...

  population = (initial population) · (1 - decay rate)^t

Here, the initial population is 13000, the decay rate is 4%, and the population of interest is 8500. This gives an equation we can solve for t.

  8500 = 13000 · (1 -0.04)^t

  8500/13000 = 0.96^t . . . . . . . divide by 13000

  log(17/26) = t·log(0.96) . . . . . take logs

  t = log(17/26)/log(0.96) ≈ 10.408

It will take about 10.4 years for the population to reach 8500 people.

 4 years is the total years will take to reach 8500 people.

 Hence, The total is equal to 4 years.

If a quantity is subject to exponential decay, it is declining at a rate proportionate to its current value.

Given the population of a small town is initially 13000 and decreasing at the rate of 4% per year, you want to know the number of years it will take for the population to reach 8500.

Exponential decay

The equation for exponential decay is ...

 population = (initial population) · (1 - decay rate)^t

Application

Here, the initial population is equal to 13000, the decay rate is equal to 4%, and the population of interest is 8500. This gives an equation we can solve for t.

 8500 =  13000 · (1 -0.04)^t

 8500/13000 = 0.96^t . . . . . . .

divide it by 13000

 log(17/26) = t·log(0.96) . . . . .

 take log

 t = log(17/26)/log(0.96) ≈ 10.408

 It will take about 10.4 years for the population to reach 8500 people.

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Answer:

is 2x2 + 5x + 2.

Step-by-step explanation: