is the following a power function, a polynomial, both, or neither? f(x)=−x−4‾‾‾‾‾‾‾√

Answer: The formula to calculate simple interest is:

I = P * r * t

where:

- I is the interest earned

- P is the principal amount (the initial investment)

- r is the annual interest rate (as a decimal)

- t is the time in years

- To calculate the total amount in the account after the interest is earned, you need to add the interest earned to the principal amount.

So for Mrs. Baxter's investment, the calculation would be:

P = 2000 (the principal)

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

t = 8 (the time in years)

I = P * r * t = 2000 * 0.05 * 8 = 800

The interest earned over the 8-year period is $800.

The total amount in the account after 8 years would be the principal plus the interest earned:

A = P + I = 2000 + 800 = 2800

So Mrs. Baxter's investment would be worth $2,800 after 8 years.

Step-by-step explanation:

The amount after 8 years with the rate of interest as 5% simple interest is $2800.

What is meant by simple interest?

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time. Unlike compound interest, where we add the interest of one year's principal to the next year's principal to compute interest, the principal amount under simple interest remains constant. Simple interest is a quick and simple approach to figuring out how much money has accrued interest. Interest is always applied to the original principal amount and is calculated at the same rate for each period of time.

Given,

The principal amount P = $2000

The rate of interest r = 5% = 5/100 = 0.05

The time period t = 8 years.

We have to find the amount after 8 years using simple interest formula.

Amount A = P(1+rt) = 2000(1+0.05 * 8)

                              = 2000 * 1.4 = $2800.

Therefore the amount after 8 years with the rate of interest as 5% simple interest is $2800.

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Answer:

Denoting 2 desired numbers: x and y, then:

x + y = 17

2x = 3y + 4

<=>

x = 17 - y

2*(17 - y) = 3y + 4

<=>

x = 17 - y

34 - 2y = 3y + 4

<=>

x = 17 - y

5y = 30

<=>

y = 6

x = 17 - 6 = 11

Hope this helps!

:)

Answer:

100

Step-by-step explanation:

perfect square  (a - b)^2 = a^2 - 2ab + b^2

In this case

20x = 2 * x * 10

and

10^2 = 100

so

(x - 10)^2 = x^2 - 20x + 100

Therefore, the missing constant term is 100

.

I need help with this question too but less hope we get a answer

The value of t such that the area to the left of −|t| plus the area to the right of |t| equals 0.01 is: t = −|t1| + 0.005 = −0.245 (approx)

Let’s consider the value of t such that the area to the left of −|t|−|t| plus the area to the right of |t||t| equals 0.01. Now, we know that the area under the standard normal distribution curve between z = 0 and any positive value of z is 0.5. Also, the total area under the standard normal distribution curve is 1.Using this information, we can calculate the value of t such that the area to the left of −|t| is equal to the area to the right of |t|. Let’s call this value of t as t1.So, we have:

Area to the left of −|t1| = 0.5 (since |t1| is positive)
Area to the right of |t1| = 0.5 (since |t1| is positive)

Therefore, the total area between −|t1| and |t1| is 1. We need to find the value of t such that the total area between −|t| and |t| is 0.01. This means that the total area to the left of −|t| is 0.005 and the total area to the right of |t| is also 0.005.

Now, we can calculate the value of t as follows:

Area to the left of −|t1| = 0.5
Area to the left of −|t| = 0.005

Therefore, the area between −|t1| and −|t| is:

Area between −|t1| and −|t| = 0.5 − 0.005 = 0.495

Similarly, the area between |t1| and |t| is:

Area between |t1| and |t| = 1 − 0.495 − 0.005 = 0.5

Area to the right of |t1| = 0.5
Area to the right of |t| = 0.005

Therefore, the value of t such that the area to the left of −|t| plus the area to the right of |t| equals 0.01 is the value of t1 plus the value of t:

−|t1| + |t| = 0.005
2|t1| = 0.5
|t1| = 0.25

Therefore, the value of t such that the area to the left of −|t| plus the area to the right of |t| equals 0.01 is:
t = −|t1| + 0.005 = −0.245 (approx)

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Using the given information we found that the equation of the parabola is:

y = (-4/9)*(x - 3)^2 + 5

And its graph is below.

For a parabola with vertex (h, k), the equation is:

y = a*(x - h)^2 + k

Here the vertex is (3, 5), so the equation is:

y = a*(x - 3)^2 + 5

And the y-intercept is y = 1, this means that:

1 = a*(0 - 3)^2 + 5

1 = a*9 + 5

1 - 5 = a*9

-4/9 = a

So the parabola is:

y = (-4/9)*(x - 3)^2 + 5

And its graph is below.

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Answer:

2/3, 66 2/3%, 0.666

Step-by-step explanation:

eqivalent

Answer:

The answer is  2/3, 66 2/3%, 0.6

Step-by-step explanation:

Because Im taking the DCA right now and i got that answer correct :3

Answer:

14x+6

Step-by-step explanation:

Multiply 7x by 2 which gets you 14x and multiply 3 by 2 which is 6.

Answer:

42%

Step-by-step explanation:

Hope it helps!

The given differential equation is y''' y'' = 8x².For solving the given differential equation by undetermined coefficients, we assume the solution to be in the form of y = ax² + bx + cHere, y''' y'' implies the highest power of x is 3.So, we need to consider the form of the particular solution to be in the form of Yp(x) = (Ax^3 + Bx^2 + Cx + D)x² + (Ex² + Fx + G)x + HWe differentiate the above equation as per the order of the differential equation.

Then, y'' = 6Ax + 2B, and y''' = 6ATherefore, the differential equation becomes6A * 2B = 8x²After solving for A and B, we get A = 4/9 and B = 0Now the equation becomesYp(x) = (4/9)x⁵ + E x³ + F x² + G x + HAlso, y'' = 2(4/9)x³ + 3Ex² + 2Fx + GAnd y''' = 8/3 x² + 6Ex + 2FSubstituting y,

y'', and y''' values in the original equation, we get:(8/3) x² + 6Ex + 2F * 2(4/9)x³ + 3Ex² + 2Fx + G= 8x²Comparing the coefficients of x³, x², x and the constants: (8/3)(4/9)x³ + 6E * 2F * 3Ex + 2G= 0On simplification, we get:(32/27) x³ + 18EFx + 2G = 0On comparing the coefficients of x³, x², x and the constants, we get:2G = 0G = 0So, the particular solution Yp(x) = (4/9)x⁵ + E x³ + F x² + HSince we have no information about the initial conditions, so the general solution is given by y(x) = C1 + C2 x + C3 x² + (4/9)x⁵ + E x³ + F x² + HTherefore, this is the required solution of the differential equation y''' y'' = 8x² by undetermined coefficients.

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The value of a, b and c can be calculated using the inverse function.The calculated the value of a= 2, b=1 and c= 0.25

The inverse function of a function is defined if f is a function that undoes the operation  \(f^{-1}\)

The inverse of f exists if and only if f is bijective, and if it exists, is denoted by \(f^{-1}\) .

It is given that the function \(\rm F(x)=Log_{0.5}x\) is and its inverse is

\(f^{-1}(x)=0.5^x\) .

Substitute the value of x= -1 in a given inverse function and calculate the value of a.

\(f^{-1}(x)=0.5^x\)

\(f^{-1}(-1)=0.5^{-1}\)

\(f^{-1}(-1)=2\)

Substitute the value of x  is 0 in the given inverse function.

\(f^{-1}(x)=0.5^x\)

\(f^{-1}(0)=0.5^0\)

\(f^{-1}(0)=1\)

Substitute the value of x  is 2 in the given inverse function.

\(f^{-1}(x)=0.5^x\)

\(f^{-1}(2)=0.5^2\)

\(f^{-1}(2)=0.25\)

Thus the value of a, b and c can be calculated using the inverse function.The calculated the value of a= 2, b=1 and c= 0.25

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Answer:

a = 2

b = 1

c = 0.25

Which graph shows the logarithmic function

f(x) = log0.5x ?

B.

Step-by-step explanation:

did it on ED :)

Answer:

Step-by-step explanation:

The interior angle measure of a regular polygon is calculated with 180*(n-2)/n, where n represents the number of sides.

A regular octagon has 10 sides so it interior angle = 180*(10-2)/10

= 144

A tessellation is a tile pattern with the same polygon repeating. The polygon's interior angles must combine to form 360 degree. A regular octagon has interior angle of 144 degree which does not add to 360 degree. So a regular octagon cannot be used as the only shape in a regular tessellation.

The answer is 144°, no.

Answer:

Step-by-step explanation:

oct means 10

(n-2)/n * 180

= (10-2)/10 * 180

= 144°

144 + 144 = 288 < 360

144 + 144 + 144 = 432 > 360

so a regular octagon can NOT be used as the only shape in a regular tessellation.

ans is A

Answer: 1/3x + 2/3

Step-by-step explanation:

f(x)= 3x - 2 =>

y= 3x - 2 =>

x= 3y - 2 =>

3y - 2= x =>

3y= x + 2 =>

y= 1/3x + 2/3 =>

f-1(x)=1/3x + 2/3

Answer:

Step-by-step explanation:

The function \(f(x)=x^2+4\) is a positive upwards opening parabola with the vertex at (0, 4), whereas

the function \(g(y)=y^2+4\) is a positive rightwards opening parabola (sideways parabola) with the vertex at (4, 0). This means that answer to this is that g(y) is reflected over the x axis whereas f(x) is reflected over the y axis.

Since nickel is 5 cents and a dime is 10 cents, the possible tolls that you can pay need to be multiplies of 5 cents.

Let on represent the number of a ways

for the number of different ways the bus

The driver can pay a toll of 5n rent first case.

The first case used in a nickel then there are ways to pay =

57 - 5 = 5 ( 1 - 1 ) cents

The second case: - The coin used is a dime, then

there is a long way to

pay 5n - 10 2 5 ( 1 - 2 ) cents -

Adding the numbers of sequence of all

In three cases, we then obtain

an = an - 1 an +2

Initially, when n 20 there is exactly I way to pay cents ( using no coins )

when an = 1 there is exactly I to way

to pay 5 cents ( using one tickle )

q =f .

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Let:

Op = Original price

Dp = Discount price

r = percent of discount

The discount price will be, the original price minus the product of the original price and the percent of discount, so:

The percent of discount of the item is 43%

The coordinates of B, C, and D are (3,-5), (3,5), and (-7,5) respectively.

Given point A (-2,-5) and the lengths of the sides AB = 5 and BC = 10, we can use this information to determine the coordinates of B, C, and D.

Using the information provided, we know that B is 5 units away from A in the positive x-direction. Therefore, the x-coordinate of B is (-2) + 5 = 3 and the y-coordinate of B is the same as that of A, which is -5. So point B is (3,-5).

Next, we know that C is 10 units away from B in the positive y-direction. Therefore, the x-coordinate of C is the same as that of B, which is 3, and the y-coordinate of C is (-5) + 10 = 5. So point C is (3,5).

Finally, we know that D is 10 units away from C in the negative x-direction. Therefore, the x-coordinate of D is 3 - 10 = -7 and the y-coordinate of D is the same as that of C, which is 5. So point D is (-7,5).

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The question is -

Find the coordinates of B, C, and D given that AB = 5 and BC = 10 where A = (-2,-5).

A retirement savings goal of $1,060,123 by the age of 58, while starting at the age of 30 and making monthly deposits of $400, an annual interest rate of 3.69% compounded monthly and agrees to make monthly payments over a period of 5 years.

a) To determine the required annual interest rate to reach the retirement savings goal, the Rate function can be used in financial calculations. The known values in this scenario are the starting age (30), the retirement age (58), the desired savings amount ($1,060,123), and the monthly deposits ($400). By using the Rate function, the interest rate required to achieve the goal can be calculated. The formula for the Rate function is Rate(Nper, PMT, PV, FV). In this case, Nper represents the number of periods (in years), PMT represents the monthly deposit amount, PV represents the present value (initial savings), and FV represents the future value (retirement savings goal). By plugging in the given values, the function can determine the required interest rate.  

b) To calculate the monthly payments for a car loan, the known values are the borrowed amount ($40,000), the annual percentage rate (APR) of 3.69%, and the loan term of 5 years (or 60 months). The monthly interest rate is calculated by dividing the APR by 12 (to reflect monthly compounding). Using the loan formula for monthly payments, which is PMT = (P * r * (1 + r)^n) / ((1 + r)^n - 1), where PMT represents the monthly payment, P represents the principal amount (borrowed amount), r represents the monthly interest rate, and n represents the number of periods (in this case, the total number of months).  

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The Solution.

The triangle that can be used with sine, cosine, and tangent ratios must have the following characteristics:

1. The triangle must be a right-angled triangle.

2. The triangle must have one of its angles as 90 degrees.

3. Another angle must be indicated as the angle of interest.

4. At least two sides and an angle must be identified/represented with values.

5. The ratios under consideration can be used to find all the angles and all the sides.

A particle traveled a distance of 9.0×10¹² meters in 5.0 × 10⁷ seconds.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

If a particle traveled a distance of 9.0×10¹² meters at a rate of 1.8×10⁵meters per second.

And the distance,

= rate x time.

Rearranging the formula,

Time = Distance / rate

Time = 9.0×10¹² / 1.8×10⁵

Simplifying by using division operation,

Time = (9.0/1.8) × 10¹² × 10⁻⁵

Time = 5.0 × 10⁷

Therefore, the required specified time is  5.0 × 10⁷ seconds.

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The customer should conclude that the GEM Fund is being sold at a premium, as its POP is higher than its NAV. Conversely, the ABC Fund is being sold at a discount, as its POP is lower than its NAV.

The Net Asset Value (NAV) represents the value of a mutual fund's assets per share. It is calculated by dividing the total value of the fund's assets by the number of shares outstanding. The Public Offering Price (POP), on the other hand, is the price at which new shares of the mutual fund are being sold to investors.

In the given scenario, the GEM Fund has an NAV of $12 and a POP of $12.50. Since the POP is higher than the NAV, it indicates that investors are required to pay a premium of $0.50 per share to purchase the GEM Fund. This premium can be seen as an additional cost or fee associated with buying into the fund.

On the other hand, the ABC Fund has an NAV of $11.50 and a POP of $10.98. Here, the POP is lower than the NAV, suggesting that investors can purchase shares of the ABC Fund at a discount of $0.52 per share compared to its underlying asset value.

Therefore, based on the provided information, the customer can conclude that the GEM Fund is being sold at a premium, while the ABC Fund is being sold at a discount.

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Answer:

1. 30

2. C = 18.3 B = 25% A=15 % rest  = unkown

Step-by-step explanation:

to find X is what percent of Y

X/Y multiplied by 100

Answer:

a=4,-4

Step-by-step explanation:

Answer:

1/216

Step-by-step explanation:

1/6 times 1/6 times 1/6

or 6^-3

Answer:

Step-by-step explanation:

There is only 1 way you can throw 18 with 3 dice. There are 6 * 6 * 6 = 216 ways of throwing 3 dice. Only 1 will give you  18. So the answer is 1/216

Answer:

88 m²

Step-by-step explanation:

Add the two bottom lengths to get

11 m

Multiply it with the height which is 8 m

11 m·8 m

88 m²

Step-by-step explanation:

Substitute n = 4 into the expression:

\(2(4)-7\)

Solve:

\(8-7\)

\(1\)

Substitute n = 4 into the expression:

\(3(4)^{2} +2(4)-5\)

Solve:

\(48+8-5\)

\(56-5\)

\(51\)

Substitute n = 4 into the expression:

Is the expression \(-n^{3} ?\)

\(-4^{3}\)

Multiply:

\(-4 \times -4 \times -4= -64\)