Find the missing values assuming continuously compounded interest. (Round your answers to two decimal places.)
Initial Investment: $100

Annual % Rate: ?

Amount of time it takes to double: ?

Amount after 10 years: $1405

Answer:

$4,179

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Total deposit (P)= $3,500

rate of interest = 6%

Rate of interest (semiannual) (r) = 3%

Time = 3 years

Time period (t) (semiannual) = 6

So, we can calculate the total amount after 3 years by using following formula,

FV = P \((1+r)^{t}\)

By putting the value, we get

FV = $3,500 ( 1 + 0.03)^6

FV = $3,500 ( 1.03)^6

= $3,500 × 1.194

= $4,179

Answer:

10 / 21

Step-by-step explanation:

Given:

5:(21/2)

Find:

Simplest form​

Computation:

⇒ 5:(21/2)

⇒ 5:(10.5)

⇒ 5 / 10.5

⇒ 50 / 105

10 / 21

Answer:

\(m=\frac{3}{5}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (8, 4)

Point (3, 1)

Step 2: Find slope m

The value of x's in the equation of angles are :-

1. 4.729

2. 7

3. 13

4. 10

1 . 25x - 5 + 12x = 180

 37x = 175

x = 4.729...

2. 15x - 7 = 14x

    x = 7

3. 5x +39 = 8x

3x = 39

x  =  13

4 . 4x + 12x + 20 = 180

    16x = 160

       x = 10

now put the values of each x in the equations of angle to find the angle .

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Answer:

\(d) \ y=4x+1\)

Step-by-step explanation:

I suppose the table looks like this:

\(\begin{array}{|r|r|} x & y \\ \cline{0-1}-1 & -3 \\0 & 1 \\ 1 & 5\end{array}\)

Thus, we can select two points and apply the formula for the equation of a line given two points to derive an equation that represents the table.

\(y-y_1=(\frac{y_2-y_1}{x_2-x_1} )(x-x_1)\)

I select this points:

\((x_1,y_1)= (0,1)\\(x_2,y_2)= (1,5)\)

Now, we substitute this values in the previous equation:

\(y-(1)=(\frac{5-1}{1-0} )(x-0)\\\\y-1=4 x\\y=4x+1\)

Therefore, the correct answer it's option D

Answer: Meeeeee

Step-by-step explanation:

Answer:

SURE

Step-by-step explanation:

Answer:

8 hours shift because you count from 7 am to 3pm

The total number of hours between the 7 am and 3 pm shift is 8 hours.

What is meant by the hour?

Depending on the speed of the Earth's rotation, an hour is a measure of time that is traditionally calculated as 1/24  of a day and scientifically estimated to last between 3,599 and 3,601 seconds. There are 24 hours in a day and 60 minutes in an hour.

The 24-hour day is divided into two sections, a.m. and p.m., according to the 12-hour clock time convention. Latin terminology for the hours of the day, AM and PM, are commonly employed. The abbreviations AM and PM stand for Ante meridiem and Post meridiem, respectively, which indicate before noon or midday and afternoon or midday. AM is used to denote the first 12-hour period, which runs from midnight to noon, and PM is used to denote the following 12-hour period, which runs from noon to midnight.

From 7 am to 12 pm, the number of hours = 5

From 12 pm to 3 pm, the number of hours = 3

Therefore the total number of hours between the 7 am and 3 pm shift is (3+5) = 8 hours.

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Using the fact that ∫ 3x(8-x) dx = 11 and the properties of integrals, we can evaluate the integrals in parts a through d, if possible.∫ 8x dx + ∫ 3x(8 - x) dx = 4x^2 + 3(11) = 4x^2 + 33 + C.

Let's evaluate each integral using the given fact and the properties of integrals:

a) ∫ (6x - 3x^2) dx: We can split this integral into two separate integrals using the linearity property of integrals. ∫ 6x dx - ∫ 3x^2 dx = 3∫ 2x dx - ∫ 3x^2 dx. Using the power rule of integration, we have 3(x^2) - x^3/3 + C.

b) ∫ 8x dx + ∫ 3x(8 - x) dx: Again, we split the integral into two separate integrals. ∫ 8x dx + ∫ 3x(8 - x) dx = 4x^2 + 3(11) = 4x^2 + 33 + C.

c) ∫ (3x - 2) (8 - x) dx: We can expand the expression and simplify before integrating. The expanded form is 24x - 3x^2 - 16 + 2x. Combining like terms, we get 26x - 3x^2 - 16. The integral is ∫ (26x - 3x^2 - 16) dx = 13x^2 - x^3 - 16x + C.

d) ∫ (3x(8 - x))^2 dx: We can square the function inside the integral and simplify before integrating. (3x(8 - x))^2 = 9x^2 (64 - 16x + x^2). Expanding and simplifying further, we have 576x^2 - 144x^3 + 9x^4. The integral is ∫ (576x^2 - 144x^3 + 9x^4) dx = 192x^3 - 36x^4 + x^5/5 + C.

Using the given fact and the properties of integrals, we were able to evaluate the integrals in parts a through d.

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Answer:

Step-by-step explanation:

To multiply fractions just multiply top × top × top × top ( and write it on top) Then multiply bottom × bottom × bottom × bottom. Whenever you can reduce or simplify the result, make sure you do that too. Since the whole entire problem is all times-ing (and dividing bc fraction bar is just dividing) you could "cancel" numbers that are in the top and bottom that are the same. See image.

The casino would reject/accept the null hypothesis (H0) and accordingly, conclude that the slot machine does or does not deliver the claimed win rate of 5 in 100.

To determine if their slot machine delivers the claimed 5 in 100 win rate, the casino would need to conduct a hypothesis test using the given terms.
The "win rate" refers to the proportion of wins a slot machine is expected to provide out of a certain number of plays. In this case, the slot machine claims to have a win rate of 5 in 100, which is equivalent to a proportion of 0.05.
To test if the slot machine actually delivers this win rate, we will conduct a hypothesis test with the following null (H0) and alternative (HA) hypotheses:
H0: The slot machine's win rate is equal to 0.05
HA: The slot machine's win rate is not equal to 0.05
To perform this test, the casino would need to collect a sample of slot machine plays and calculate the observed win rate. Using an appropriate statistical test, such as a z-test or t-test for proportions, the casino can compare the observed win rate to the claimed win rate of 0.05. If the test result shows that there is a significant difference between the observed and claimed win rates, the casino would reject the null hypothesis (H0) and conclude that the slot machine does not deliver the claimed win rate of 5 in 100.

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Answer: undefined

Step-by-step explanation:

Answer:

um.. the answer is "0"

Step-by-step explanation:

The standard deviation of returns is 0.0665 when a person is holding stock and there are three possible outcomes.

To calculate the expected return, we multiply the probability of each state by its corresponding return and sum them up:

Expected return = (20% * 18%) + (55% * 9%) + (25% * -5%)

Expected return = 0.20 * 0.18 + 0.55 * 0.09 + 0.25 * (-0.05)

Expected return = 0.036 + 0.0495 - 0.0125

Expected return = 0.073

The expected return is 7.30%.

To calculate the standard deviation of returns, we need to find the variance first. The variance is calculated as the weighted sum of squared deviations from the expected return:

Variance = (20% * (18% - 7.30%)^2) + (55% * (9% - 7.30%)^2) + (25% * (-5% - 7.30%)^2)

Variance = 0.20 * (0.1077)^2 + 0.55 * (0.0177)^2 + 0.25 * (-0.123)^2

Variance = 0.00232 + 0.000173 + 0.001903

Variance = 0.004423

The standard deviation is the square root of the variance:

Standard deviation = √(0.004423)

Standard deviation = 0.0665

Therefore, the value obtained is 0.0665.

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Answer:

64/5 bags=128/17 days

Step-by-step explanation:

soln:

given,

17/10 bags=1 day

64/5 bags= ?

we know,

1 bag=10/15 day

so,

64/5 bags=10/15*64/5

•°•64/5 bags=128/17 days

The discount amount is $17 (20% of $85) and the amount to pay after the promotion is $68 ($85 - $17).

If the total bill was $85 and there is a 20% discount, we can find the amount of the discount by multiplying the total bill by 20% or 0.2:

Discount = $85 × 0.2 = $17

The amount of the discount is $17, so to find out how much Alice's family would need to pay after the promotion, we subtract the discount from the total bill:

Amount to pay after the promotion = $85 - $17 = $68

Therefore, Alice's family would need to pay $68 after the 20% promotion discount.

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Answer:

Answer

7x+4x-2x

=11x-2x

=9x

The volume of the oblique rectangular prism is 216 m³.

How to calculate the volume of an oblique rectangular prism?

The volume of an oblique rectangular prism is given by the formula:

V = l * w * h

Where l  and w are the length and width of the base respectively, and h is the perpendicular distance between the bases

In this case, l = 7.5 m and w = 4.5 m

Using trig. ratio:

tan 65 = h/3

h = 3 * tan 65

h = 6.4 m

Thus,

V = 7.5 * 4.5 * 6.4

V = 216 m³

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I dont know what is  What is "y=2(x)+1" i think it might be x3 or somthing tell me if im wrong

Answer:

the slope is 2 but the y-intercept (0,1)

Step-by-step explanation:

Answer:

$1.90

Step-by-step explanation:

16.80 - 1.60 = 15.20, since we are finding the price of each bottle of juice.

1) Set up and equation equated to 15.20.

8x = 15.20

x = 15.20/8

x = 1.90

Therefore, each bottle of juice costs $1.90.

Answer:

G.

hope this explanation helps

Step-by-step explanation:

The general solution of the differential equation \(\frac{d}{dt}(2x) = 6 \cdot 2t + 3t \cdot e^t + 4 \cdot e^{-2t}\) is given by \($x - \frac{x^2}{2} = 3t^2 + 3te^{t} - 2e^{-2t}$\).

The given differential equation can be written as,

\(\frac{d}{dt} \left(2x\right) = 6 \cdot 2t + 3t \cdot e^t + 4e^{-2t}\)

The solution of the above differential equation can be found by applying the product rule,

\(\frac{d^2x}{dt^2} + 2 \frac{dx}{dt} = 6 2t + 3te^t + 4e^{-2t}\)

Rearranging the terms,

\($\frac{d^2x}{dt^2}-2\frac{dx}{dt} = 6 + 2t + 3te^{t} + 4e^{-2t}$$\)

Now, integrating both sides with respect to t,

\(\int 2\frac{dx}{dt} -2x \frac{d}{dt}dt = \int 6t^2e^t4e^{-2t}dt\)

\frac{d}{dt}\left(2x-\frac{2x^2}{2}\right)=\frac{6t^2}{2}+3te^{t}-4e^{-2t}+c

Substituting c = 0,

\($2x - x^2 = 6t^2 + 3te^{t} - 4e^{-2t}$\)

The general solution of the differential equation is given by,

\($x - \frac{x^2}{2} = 3t^2 + 3te^{t} - 2e^{-2t}$\).

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Mean absolute percentage error is used in situations where you need to compare forecasting methods for different time periods.

The most used metric for gauging forecast accuracy is mean absolute percent error. It belongs to the category of scale-independent percentage errors, which may be used to compare series on various scales.

MAPE = mean (| eᵢ |/yᵢ )*100

where eᵢ is the error term and yᵢ is the actual data at the time i.

The drawback of MAPE is that it loses definition if the actual figure for any observation in the data has a value of 0.

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Answer:

E) None of the above

Step-by-step explanation:

If Larry drives to work in the morning, he will hit traffic. Therefore:

A) If Larry hits traffic, it must be morning.

B) If Larry drives to work in the afternoon, he will not hit traffic.

C) If Larry doesn't hit traffic, it must not be morning.

D) If Larry drives to work in the afternoon, he will hit traffic.

E) None of the above.

Answer:

x= 40

so

3x-5= 115

2x-15= 65

Step-by-step explanation:

C is the correct answer. I see that you put a mark on that choice so you are right if you thought that. I hope this helps!

Answer:

C

Step-by-step explanation:

The 2 angles are same- side interior angles and are supplementary, thus

3x - 5 + 2x - 15 = 180, that is

5x - 20 = 180 ( add 20 to both sides )

5x = 200 ( divide both sides by 5 )

x = 40

Thus

3x - 5 = 3(40) - 5 = 120 - 5 = 115°

2x - 15 = 2(40) - 15 = 80 - 15 = 65°

Answer:

3 1/8 packages of beads

Step-by-step explanation:

We know that Darnell uses 1 1/4 packages of beads to make 10 bracelets. In order to find how many packages of beads he'll need for 25 bracelets, we set up a proportion:

\(\frac{1\frac{1}{4} }{10} =\frac{x}{25}\), where x is the number of packages needed

Cross-multiply:

25 * 1 1/4 = 10x

1 1/4 is just 1.25 in decimal form, so:

25 * 1.25 = 10x

31.25 = 10x

x = 3.125 = 3 1/8

So, Darnell will use 3 1/8 packages of beads.

~ an aesthetics lover

Answer:

We can calculate how many packages he needs to make 5 bracelets and then times that by 5 to see how many he'll need for 25

Step-by-step explanation:

First of all, let's turn 1 1/4 to \(\frac{5}{4}\)

Now, if we divide the amount he needs for 10 bracelets by 2, we will have the amount he needs for 5 bracelets:

\(\frac{\frac{5}{4}}{2} = \frac{5}{4} * \frac{1}{2} = \frac{5}{8}\)

Now, as 25 divided by 5 is 5, we can multiply our answer by 5 to get the amount needed for 25 bracelets:

\(\frac{5}{8} * 5 = \frac{25}{8}\)

Now, we can turn this back into a mixed fraction:

\(\frac{25}{8} = 3\frac{1}{8}\)

So the answer is 3 1/8 packages of bread.

The area of the region bounded above by y = 3x and below by y = 9x^2 is 270 square units.

To use Green's Theorem to calculate the area of the region bounded above by y = 3x and below by y = 9x^2, we need to first find a vector field whose divergence is 1 over the region.

Let F = (-y/2, x/2). Then, ∂F/∂x = 1/2 and ∂F/∂y = -1/2, so div F = ∂(∂F/∂x)/∂x + ∂(∂F/∂y)/∂y = 1/2 - 1/2 = 0.

By Green's Theorem, we have:

∬R dA = ∮C F · dr

where R is the region bounded by y = 3x, y = 9x^2, and the lines x = 0 and x = 6, and C is the positively oriented boundary of R.

We can parameterize C as r(t) = (t, 3t) for 0 ≤ t ≤ 6 and r(t) = (t, 9t^2) for 6 ≤ t ≤ 0. Then,

∮C F · dr = ∫0^6 F(r(t)) · r'(t) dt + ∫6^0 F(r(t)) · r'(t) dt

= ∫0^6 (-3t/2, t/2) · (1, 3) dt + ∫6^0 (-9t^2/2, t/2) · (1, 18t) dt

= ∫0^6 (-9t/2 + 3t/2) dt + ∫6^0 (-9t^2/2 + 9t^2) dt

= ∫0^6 -3t dt + ∫6^0 9t^2/2 dt

= [-3t^2/2]0^6 + [3t^3/2]6^0

= -54 + 324

= 270.

Therefore, the area of the region bounded above by y = 3x and below by y = 9x^2 is 270 square units.

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Therefore, the correct answer is option b, which states that there are 13 elements in Z13 and the possible orders are 1, 2, 3, 4, 6, 12, 13.

The correct answer is option b. There are 13 elements in Z13 and the possible orders are 1, 2, 3, 4, 6, 12, 13.
Explanation: Z13 is the set of integers modulo 13, which means that the elements in Z13 are the remainders when integers are divided by 13. The elements in Z13 are {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.
The order of an element in Z13 is the smallest positive integer n such that a^n = 1 (mod 13). The possible orders in Z13 are all the divisors of 12 (the number of elements in Z13 minus 1), which are 1, 2, 3, 4, 6, 12, and 13.

Therefore, the correct answer is option b, which states that there are 13 elements in Z13 and the possible orders are 1, 2, 3, 4, 6, 12, 13.

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Answer:

so sorry i don't know the answer

Answer:

Step-by-step explanation: