I am hoping on you guys to help, giving 45 pts.

Answer:

Plan A: which earns 6% interest compounded per year, compounded quarterly.

Step-by-step explanation:

To determine which plan is the best investment option, we need to calculate the final balance of each plan after 8 years and compare them.

Plan A:

With a 6% interest rate compounded quarterly, the formula to calculate the final balance after n years is given by:

A = P * (1 + r/m)^(m*n)

Where:

P = $5000 (the initial deposit)

r = 0.06 (the annual interest rate as a decimal)

m = 4 (number of times compounded per year)

n = 8 (number of years)

Plugging in the values, we get:

A = $5000 * (1 + 0.06/4)^(4 * 8)

A = $8051.62

Plan B:

With a 5% interest rate compounded daily, the formula to calculate the final balance after n years is given by:

A = P * (1 + r/365)^(365*n)

Where:

P = $5000 (the initial deposit)

r = 0.05 (the annual interest rate as a decimal)

n = 8 (number of years)

Plugging in the values, we get:

A = $5000 * (1 + 0.05/365)^(365 * 8)

A = $7458.919

After calculating the final balance for each plan, it is clear that Plan A is the better option as it results in a higher balance of $8051.62 compared to Plan B's balance of $7458.919. So, if you are depositing $5000 for 8 years, it is best to choose Plan A, which earns 6% interest compounded per year, compounded quaterly.

Answer:

Plan A is the best investment account.

Step-by-step explanation:

To determine which of the two different investments accounts is the best, substitute the given values for each account into the compound interest formula and compare the final account balances.

\(\boxed{\begin{minipage}{8.5 cm}\underline{Compound Interest Formula}\\\\$ A=P\left(1+\frac{r}{n}\right)^{nt}$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $n =$ number of times interest is applied per year \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)

Given Plan A values:

Plan A balance:

\(\implies A=5000\left(1+\dfrac{0.06}{4}\right)^{4 \cdot 8}\)

\(\implies A=5000\left(1.015\right)^{32}\)

\(\implies A=8051.62160...\)

Therefore, the balance of the Plan A account is $8,051.62.

Given Plan B values:

Plan B balance:

\(\implies A=5000\left(1+\dfrac{0.05}{365}\right)^{365 \cdot 8}\)

\(\implies A=5000\left(1..00013698...\right)^{2920}\)

\(\implies A=7458.9191...\)

Therefore, the balance of the Plan B account is $7,458.92.

Plan A is the best investment account since you will earn $592.70 more investing in this account than if investing the same amount of money for the same amount of time in the Plan B account.

The force in the rod when the temperature is 150 °F is 718.72 pounds-force.

Let suppose that rod experiments a quasi-static deformation and that both springs have a linear behavior, that is, force (\(F\)), in pounds-force, is directly proportional to deformation. Then, the elongation of the rod due to temperature increase creates a spring deformation additional to that associated with mechanical contact.

Given simmetry considerations, we derive an expression for the spring force (\(F\)), in pounds-force,  as a sum of mechanical and thermal effects by principle of superposition:

\(F = k\cdot (\Delta x + 0.5\cdot \Delta l)\)   (1)

Where:

The rod elongation is described by the following thermal dilatation formula:

\(\Delta l = \alpha \cdot L_{o}\cdot (T_{f}-T_{o})\)   (2)

Where:

If we know \(k = 1000\,\frac{lb}{in}\), \(\Delta x = 0.7\,in\), \(\alpha = 6.5\times 10^{-6}\,\frac{1}{^{\circ}F}\), \(L_{o} = 48\,in\), \(T_{o} = 30\,^{\circ}F\) and \(T_{f} = 150\,^{\circ}F\), then the force in the rod at final temperature is:

\(F = \left(1000\,\frac{lb}{in} \right)\cdot \left[0.7\,in + 0.5\cdot\left(6.5\times 10^{-6}\,\frac{1}{^{\circ}F} \right)\cdot (48\,in)\cdot (150\,^{\circ}F-30\,^{\circ}F)\right]\)

\(F = 718.72\,lbf\)

The force in the rod when the temperature is 150 °F is 718.72 pounds-force. \(\blacksquare\)

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The period of the function y = 2∕3 cos(4∕7x) + 2. is 7/2π

The function is given as:

y = 2∕3 cos(4∕7x) + 2.

The above function is a cosine function

A cosine function is represented as:

y = A cos(B(x + C)) + D

Where the period is

Period = 2π/B

By comparing the equations, we have

B = 4/7

Substitute B = 4/7 in Period = 2π/B

Period = 2π/(4/7)

Express as product

Period = 2π * 7/4

Divide 4 by 2

Period = π * 7/2

Evaluate the product

Period = 7/2π

Hence, the period of the function y = 2∕3 cos(4∕7x) + 2. is 7/2π

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Answer:

Part A 2/22=1/11

Part B 85

Step-by-step explanation:

Answer:

Hola amiga no se ablar inglés losiento

The probability of spinning an even number, flipping tails, then spinning an odd number is:

1/9   (as fraction) or 11.11% (as percent)

To find the probability of spinning an even number, flipping tails, then spinning an odd number. We need to consider the individual probabilities. That is:

We have only one even number in the spinner, and that is 2. Thus,

P(even number) = 1/3

For a coin, the probability of head or tail is 1/2. Thus,

P(tail) = 1/2

We have two odd number in the spinner, and that is 1 and 3. Thus,

P(odd number) = 2/3

Therefore, the probability of spinning an even number, flipping tails, then spinning an odd number will be:

P(even, tail, odd) = 1/3 * 1/2 * 2/3

                            = 2/18

                            = 1/9   (as fraction)

In percent:

P(even, tail, odd) =  1/9 * 100

                            = 11.11%

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Answer:

You can’t solve but you can simplify to

3x^3-10x+1

Step-by-step explanation:

Answer:

3x^3-10x+1 ?

Step-by-step explanation:

Answer:

Step-by-step explanation:

The value X° where x is non zero number will give a value of 1 because any value raise to the power of zero gives 1.

For example if X = 2, 2° = 1

For the expression 0^x, this will result into zero for any positive power of x. Let x be 3 for example,

0³ = 0×0×0

0³ = 0

Also if x = 4

0⁴ = 0×0×0×0 = 0

Therefore, no matter the value of x, rge value 0^x will return back zero.

For 0^0 this value is an indeterminate function i.e we cannot determine the the value. The value cannot return Amy positive or negative real number on the number line. Hence 0^0 is indeterminate.

The measure of the angle m∠RQS subtended by the arc RS at the circumference is equal to 70°

The angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference. Also the arc measure and the angle it subtends at the center of the circle are directly proportional.

arc RS = 2(m∠RQS)

Also arc AD = 140°

2(m∠RQS) = 140°

m∠RQS = 140°/2 {divide through by 2}

m∠RQS = 70°

Therefore, the measure of the angle m∠RQS subtended by the arc RS at the circumference is equal to 70°

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Answer: to be true  I don't understand this

Step-by-step explanation:

Answer:

Andre lives 5 miles away

Step-by-step explanation:

If the total is 25 and Michael lives 4 times farther you can simply divided the 25 by 5 to receive the correct answer.

Answer:

2/3 c please give me brainliest

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the range is (20,60). Since range is y we know it has to be C

Answer:

Ok... what's the question

Step-by-step explanation:

Answer:

anwser= 8 she will have 0 left

Step-by-step explanation:

each student gets 8 stickers

:)

Given statement solution is :- a) The area of one semi-circle at one end is  58.09 square feet.

b) The area of the garden is 274.42 square feet.

c) The area in square metres is approximately 58.09 square feet.

The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.

a) To find the area of one semi-circle at one end, we need to calculate the area of a complete circle and then divide it by 2. The formula for the area of a circle is A = πr², where A represents the area and r is the radius.

Since the diameter of the semi-circle is equal to the width of the rectangular portion, which is 8.6 feet, the radius will be half of that, which is 8.6 / 2 = 4.3 feet.

Now we can calculate the area of the semi-circle:

A = (π * 4.3²) / 2

A ≈ 58.09 square feet

b) To find the area of the garden, we need to sum the area of the rectangular portion with the areas of the two semi-circles.

Area of the rectangular portion = length * width

Area of the rectangular portion = 18.4 feet * 8.6 feet

Area of the rectangular portion ≈ 158.24 square feet

Area of the two semi-circles = 2 * (area of one semi-circle)

Area of the two semi-circles ≈ 2 * 58.09 square feet

Area of the two semi-circles ≈ 116.18 square feet

Total area of the garden = area of the rectangular portion + area of the two semi-circles

Total area of the garden ≈ 158.24 square feet + 116.18 square feet

Total area of the garden ≈ 274.42 square feet

c) To convert the area from square feet to square meters, we need to know the conversion factor. Since 1 foot is approximately 0.3048 meters, we can use this conversion factor to convert the area.

Area in square meters = Total area of the garden * (0.3048)²

Area in square meters ≈ 274.42 square feet * 0.3048²

Area in square meters ≈ 25.49 square meters

Therefore, the area of one semi-circle at one end is approximately 58.09 square feet. The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.

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The two given rectangles are proportional to each other since they have a width to length ratio of 2 and the area ratio between them is equal to 9.

Two rectangles are proportional to each other when both have the same length to width ratio. The area ratio is defined by the following formula:

r' = (l' · h')/(l · h)      (1)

Where:

Now we determine the length to width ratio of each rectangle:

Original rectangle

s = 4/2

s = 2

Enlarge rectangle

s' = 12/6

s' = 2

The two rectangles have the same length to width ratio.

And the area ratio is:

r' = (12 · 6)/(4 · 2)

r' = 72/8

r' = 9

The statement is incomplete and complete statement cannot be found. We modify the statement towards the determination of the length to width ratio of a rectangle and the areas ratio.

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Answer: A, B, D, is the correct answer.   :) Hope this helped.

StartFraction width original over length original EndFraction = StartFraction width enlargement over length enlargement EndFraction.

StartFraction length original over length enlargement EndFraction = StartFraction width original over width enlargement EndFraction.

StartFraction width enlargement over length enlargement EndFraction = StartFraction width original over length original EndFraction.

Answer:

15,103.05

Step-by-step explanation:

Total amount in the saving account after 5 years in which the  annual interest, compounded continuously, is $15,103.85.

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

\(A=P\times\left(1+\dfrac{r}{100n}\right)^{nt}\\\)

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

$13,000 is deposited into a savings account with an annual interest rate of 3% compounded continuously.

The amount in account after 5 years can be calculated with the above formula as,

\(A=13000\times\left(1+\dfrac{3}{12\times100}\right)^{12\times5}\\A=15101.02\)

The total amount in the saving account after 5 years in which the  annual interest, compounded continuously, is $15,103..85.

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The system of equation that does not belong to the other two is the third system of equations; y = -4·x - 3, y + 4·x = -5, This is so because, the third system has no solutions.

A linear system of equations consists of two or more linear equations that consists of common variables.

The possible equations are;

y = x + 6, y = -x + 2

3·x + y = -1, y = 4·x + 6

y = -4·x - 3, y + 4·x = 5

Evaluation of the system of equations, we get;

First system of equations;

y = x + 6, y = -x + 2

x + 6 = -x + 2

x + x = 2 - 6 = -4

2·x = -4

x = -4/2 = -2

x = -2

y = x + 6

y = -2 + 6 = 4

y = 4

The solution is; x = -2, y = 4

Second system of equation;

3·x + y = -1, y = 4·x + 6

3·x + 4·x + 6 = -1

7·x + 6 = -1

7·x  = -1 - 6 = -7

x = -7/7 = -1

x = -1

y = 4·x + 6

y = 4 × (-1) + 6 = 2

y = 2

The solution to the second system of equation is; x = -1, y = 2

Third system of equation;

y = -4·x - 3, y + 4·x = 5

y + 4·x = 5

-4·x - 3 + 4·x = 5

-4·x + 4·x - 3 = 5

0 - 3 = 5

-3 = 5

The third system of equation has no solution

The system of equations that does not belong with the other two is the third system of equation; y = -4·x - 3, y + 4·x = 5, that has no solution.

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Y = 2(x-2)²+2 is the equation used to model the bird's vertex form journey.

A vertex is a point on a polygon where two rays or line segments meet, the sides, or the edges of the object come together. Vertex is the plural form of vertices. For instance, the points A, B, C, D, and E in the aforementioned figures are vertices.

Formula for the general vertex form: f(x) = a(x − h) ² + k

where the vertex is (h,k).

This equation can be used to represent a bird's flight path:

y = 2x² - 8x+10

Vertex form equation conversion

Filling in the square:

y = 2(x² - 4x+5)

y=2

(x²-4x+5+ (2)2- (2)2)

y=2(x²-4x+5+ (2)²-4) y=2((x-2)2-4+5)

y=2((x-2)²+1)

y = 2(x-2) (x-2)²+2

Where:

(h,k)=(2,2)

a=2

Consequently, the vertex form equation for the bird's journey is Y = 2(x-2)²+2

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Complete Question -

Flight Path of a Bird

In this activity, you'll use quadratic equations to model situations and interpret the solutions to the equation

The flight path of a bird can be represented by this equation, where x represents the horizontal distance, in feet, from a tree

branch and y represents the height, in feet, relative to the ground.

y = 2x2 - 8x + 10

Part A

Question

Rewrite the equation modeling the path of the bird in vertex form by completing the square,

Substitute the values of a, h, and k to complete the equation.

The height, H (in ft), is related to time, T (in seconds), by the next equation:

Substituting with H = 85 ft we get:

Applying the quadratic formula:

(c) range, (d) variance, (e) standard deviation and (f) interquartile range measure variability.

Range, The range is the difference between the largest and smallest values in a dataset, indicating how spread out the data are.

Variance, The variance measures how far a set of numbers is spread out from their average. It provides a measure of how much the individual data points deviate from the mean.

Standard deviation, The standard deviation is the square root of the variance and is also a measure of how much the individual data points deviate from the mean. It is a widely used measure of variability, particularly in statistical analysis.

Interquartile range, The interquartile range (IQR) is the difference between the third and first quartiles of a dataset. It gives an idea of the spread of the middle 50% of the data and can help identify outliers.

The mean and median are measures of central tendency and do not directly measure variability.

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Answer: 7876

Step-by-step explanation: JUST MULTIPLY THE NUMBERS

Answer:

C. y = 1.60 +.08x

Explanation:

The cost of the ice cream will be equal to the fixed cost of $1.60 plus the cost that depends on the number of toppings. So, if Natasha chooses x number of topping, the total cost of the toppings will be 8 cents times x or $0.08x

So, the total cost for the ice cream is represented by the equation:

y = 1.60 +.08x

The correct responses found using trigonometric ratios are as follows;

1. The depth of the water = 15 × tan(4°) = 1.049 m

The height of Brooke's boot = 1 m

Therefore;

2. The angle of elevation of the plan = arccos(99/100) ≈ 8.110°

Given that the angle of elevation the plan, 8.110°, is more than 8° limit, we find;

3. Height reached by the plane = 9 × tan(21°) = 3.455

Therefore;

4. Height of the chimney at the factory = 50 × tan(51°) = 61.745

The minimum chimney height = 65 m.

Therefore;

6. Length of the bridge = 72 × tan(55°) ≈ 102.83

Therefore;

7. Height reached by the ladder = 26 × sin(43°) ≈ 17.7

Therefore;

8. Height reached by the ski lift = 1000 × sin(29°) ≈ 484.8

Therefore;

9. Height reached by plane = 26 × tan(9°) ≈ 4.12

The plane flies under the cloud therefore;

10. Length required for the metal brace = 21/(cos(73°)) ≈ 71.83

Therefore;

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Answer:

B = (A - 3C) / 3

Step-by-step explanation:

3B + 3C = A

3B = A - 3C

B = (A - 3C) /3

The butterfly’s change in elevation each minute is 1.5 feet.

Elevation simply had to do with the height above the sea level.

In this case, the butterfly is flying 8.75 feet above ground and descends at a steady rate to a spot 6.25 feet in 1 2/3. minutes.

The change in elevation will be:

= 8.75 - 6.25.

= 2.50

Therefore, the change per minute will be:

= Change in elevation / Number of minutes

= 2.50 / 1 2/3

= 2.50 / 1.67

= 1.5 feet per minute

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Answer: its

12 4

_

7

Step-by-step explanation:

Answer:

12 4/7

Step-by-step explanation:

5 1/7 + 7 3/7 =

= 5 + 1/7 + 7 + 3/7

= 5 + 7 + 1/7 + 3/7

= 12 4/7

Answer: 12 4/7

Answer:

\(t \ge h\) and \(t + 0.5h \le 12.0\)

Step-by-step explanation:

Given

\(t= thickness\)

\(h =height\)

From the first statement, we have that:

\(t\ mm \ge 0.1 * h\ cm\)

Convert mm to cm

\(t\ * 0.1*cm \ge 0.1 * h\ cm\)

\(t\ *0.1 \ge 0.1 * h\)

Divide both sides by 0.1

\(t \ge h\)

From the second statement, we have that:

\(Cost \le 12.2\)

Substitute 0.2 + t + 0.5h for Cost

\(0.2 + t + 0.5h \le 12.2\)

Collect Like Terms:

\(t + 0.5h \le 12.2-0.2\)

\(t + 0.5h \le 12.0\)

So, the inequalities are:

\(t \ge h\) and \(t + 0.5h \le 12.0\)

Answer: it's a, the answer

Step-by-step explanation:

Answer:

A, B, D, E

Step-by-step explanation:

148^0 = 1 (Zero property of exponents)

9^(-2) = 1/9^2 = 1/81

-5^2 = -5*5 = -25

-10^(-2) = -1/10^2 = -1/100