suppose you just bought an annuity with 10 annual payments of $16,000 at the current interest rate of 12.5 percent per year.

Answer:

This would be a .04 or 4% decay.....

for every "time unit" (x in this case) you will be multiplying

the amount by .96 ... in other words if you started with one dollar

the results would be 96 cents... after two "time" steps you would have

only 92 cents (.96 *.96)

Step-by-step explanation:

The growth rate of the bacterial colony after 3 hours is 32%, the population of a slowly growing bacterial colony after t hours is given by the function p(t) = 100 + 24t + 2t²

The growth rate of the colony is the rate of change of the population, which is given by the derivative of the function. The derivative of p(t) is p'(t) = 24 + 4t

The growth rate after 3 hours is p'(3) = 24 + 4 * 3 = 32. This means that the population of the colony is increasing by 32% after 3 hours.

To know more about derivative click here

brainly.com/question/29096174

#SPJ11

Question 1 : The answer is 143.3 miles

Question 2 : The answer is 120 minutes

Step by step explanation:

1. Based on the given conditions:

43 × 90 ÷ 27

Calculate = 43 × 90

27

= 430 = 143.3

3

= 143.3 miles

2. 90 miles = 75min

143.3 ÷ 90 = 1.6

75 × 1.6 = 120

The answer is = 120 minutes

Answer:

H.  13

Step-by-step explanation:

To find the output of a function, substitute the value given in parentheses for x, and do the operations.

Given f(3)

f(3) = 5(3) - 2

f(3) = 15 - 2

f(3) = 13

Answer:

its 13 ^^

Step-by-step explanation:

Sohail=17

afzal=16

Bilal=12

Aslam=16+5=21

The rectangular prism's volume is equal to \($V=9.375 \mathrm{~m}^3$\). Prism volume (V) is equal to B ×h, where h is the prism's height and B is the area of the base.

1.25 metres in length, 2.5 metres in width, 3 metres in height, and a diagonal length of 4.10030487 metres make up the total surface area. \($\mathrm{S}_{\text {tot }}\)=\(28.75 \mathrm{~m}^2$\) , Latitudinally exposed area \($S_{\text {lat }}=22.5 \mathrm{~m}^2$\) , maximum surface area is \($S_{\text {top }}=3.125 \mathrm{~m}^2$\) , surface area of the ground is \($S_{\text {bot }}=3.125 \mathrm{~m}^2$\) so that the volume is \($V=9.375 \mathrm{~m}^3$\)

When determining the volume of a rectangular prism , we multiply its length, width, and height. The base's area multiplied by the height gives the rectangular prism its volume. Length, width, and height are the cubic units that make up a rectangular prism's volume. Any rectangular solid's volume, V, is equal to the sum of its dimensions, height, width, and depth. In terms of the area of the base, we might alternatively express the formula for a rectangular solid's volume. Size times width equals the base's area, B.

To learn more about rectangular prism refer to :

https://brainly.com/question/24284033

#SPJ1

Answer:

What’s the question?

Step-by-step explanation:

Answer:

The phenomenon by which the colloidal particles scatter light is called Tyndall effect. If light is passed through a colloid the light is scattered by the larger colloidal particles and the, beam becomes visible. This effect is called Tyndall effect.

The area lying outside r=2cosθ and inside r=1 cosθ area is given as - (3/2) ​π.

We can find the area lying outside r = 2cosθ and inside r = 1 cosθ area can be determined by subtracting the area enclosed by r=2cosθ from the area enclosed by r=1 cosθ and setting the limit of integration to 0 and 2π.

We can find The area enclosed by r=1 cosθ  by integrating the given equation by limits of 0 and 2π and the equation can be given as:

= 1/ 2×​∫[0 2π]​ (1cosθ)²dθ

= 1 / 2​π

We can find The area enclosed by r=2cosθ by integrating the given equation by limits of 0 and 2π and the equation can be given as

= 1 / 2 ​∫[02π]​(2cosθ)²dθ

= 2π

By subtracting the area enclosed by r = 1 cosθ from the area enclosed by r=2cosθ we can get the area lying outside r=2cosθ and inside r=1 cosθ is 1 / =1 / 2π - 2 π

= - 3/2​π

Therefore, The area lying outside r=2cosθ and inside r=1 cosθ is - 3/2​π

To learn more about integrating:

https://brainly.com/question/30094386

#SPJ4

The rule of inference being used here is Modus Tollens. Modus Tollens is a valid deductive argument form that states if a conditional statement "If P, then Q" is true and the consequent Q is false, then the antecedent P must also be false.

In the given scenario, the conditional statement is "If the guard dog doesn't know a person, then it barks."

The observation that the dog didn't bark (Q is false) leads to the conclusion that the dog must have known the person (the antecedent P is false).

To know more about observation visit-

brainly.com/question/21053033

#SPJ11

the amount of soil needed is 27 cubic feet.

The dimension of K is N, representing the dimension of population.

The dimension of r is 1/time, ensuring dimensional consistency in the equation.

In the fish harvesting model, the variable t represents time and u represents the population of fish. We assign the dimension [u] = N, where N represents the dimension of "population."

In the ODE (1.10) of the fish harvesting model, we have the equation:

du/dt = r * u * (1 - u/K)

To determine the dimensions of the parameters in the equation, we consider the dimensions of each term separately.

The left-hand side of the equation, du/dt, represents the rate of change of population with respect to time. Since [u] = N and t represents time, the dimension of du/dt is N/time.

The first term on the right-hand side, r * u, represents the growth rate of the population. To make the equation dimensionally consistent, the dimension of r must be 1/time. This ensures that the product r * u has the dimension N/time, consistent with the left-hand side of the equation.

The second term on the right-hand side, (1 - u/K), is a dimensionless ratio representing the effect of carrying capacity. Since u has the dimension N, the dimension of K must also be N to make the ratio dimensionless.

In summary:

The dimension of K is N, representing the dimension of population.

The dimension of r is 1/time, ensuring dimensional consistency in the equation.

Note that these dimensions are chosen to ensure consistency in the equation and do not necessarily represent physical units in real-world applications.

Learn more about population  from

https://brainly.com/question/25896797

#SPJ11

By using the concept of Permutations and Combinations, the Counting Principle president, a vice-President, and the secretary of the club can be chosen in 990 ways.

Permutations and Combinations are about making arrangements and making selections on the basis of certain formulas

The re-arranging of any given given data which is sorted in some ordered way is called a permutation. The “permutation” word actually tells us that change the linear order of the ordered set.

Selecting items from a huge source of items without taking any care about their order is called combinations.

We need to choose three members  out of 11 members. So here we use a combination. So selecting r things from n things we can do selection in ncr ways, so we can choose of members in 11c1×10c1×9c1 ways

We know that ncr is equivalent to \(\frac{n!}{r!(n-r)!}\)

So, using this concept total number of ways to select a member of a club

=((11c1)×(10c1)×(9c1))

=11×10×9

=990 ways

Hence president, vice president and secretary  can be selected by 990 ways

To know more about Counting Principle, Permutation and Combination visit here:

https://brainly.com/question/28720645

#SPJ4

The cost of a toy train is Rs. 175. The total amount paid by him is Rs.1000. Hence, the change that he got is Rs.215.

Given that the cost of a toy car is Rs. 130And the cost of a toy train is Rs. 45 more than the cost of a toy car.Thus the cost of a toy train can be calculated as follows:Cost of a toy train = Cost of a toy car + Rs.45= Rs. 130 + Rs.45= Rs.175Given that Ajay bought 2 toy cars and 3 toy trains.Thus the total cost of the toys can be calculated as follows:Total cost of the toys = (Cost of 2 toy cars) + (Cost of 3 toy trains)= (2 × Rs.130) + (3 × Rs.175)= Rs.260 + Rs.525= Rs.785Given that he gave the cashier two Rs.500 notes.

Then the total amount paid by Ajay is:Total amount paid = 2 × Rs.500= Rs.1000Thus, the change that he got can be calculated as:Change = Total amount paid − Total cost of the toys= Rs.1000 − Rs.785= Rs.215Therefore, the change that Ajay got was Rs.215. Thus, the cost of a toy train is Rs.175. Given that Ajay bought 2 toy cars and 3 toy trains. The total cost of the toys is Rs.785. He gave the cashier two Rs.500 notes. Thus, the total amount paid by him is Rs.1000. Hence, the change that he got is Rs.215.

To know more about total amount  visit:-

https://brainly.com/question/29066172

#SPJ11

Answer: Decrease it’s a negative

Step-by-step explanation:

Answer: 2+4y

Step-by-step explanation:

First separate into like terms.

3+3y-1+y    =     3-1+3y+y

1) 3-1= 2

2) 3y+y= 4y

Then just put it together...

2+4y

Respuesta:

C: 10xy^4 + 3x^3y^2 - 6x^2y

¡¡Espero te sirva!!

Answer:

Part 1: 359,007 ft³

Part 2: 216 times smaller

Part 3: 21600%

Step-by-step explanation:

Part 1:

The parameters for the tank are;

The radius of the tank = 70 feet

The volume of a sphere = 4/3·π·r³

Therefore, the volume of a quarter sphere = 1/4×The volume of a sphere

The volume of a quarter sphere = 1/4×4/3·π·r³ = π·r³/3

Plugging in the value for the radius gives

Volume = π×70³/3 = 114,333.33×3.14 = 359,006.7≈ 359,007 ft³.

Part 2:

The dimension of the scale model  = 1/6 × Actual dimension

Therefore, we have the radius of the sphere of the scale model = 1/6 × 70

Which gives;

The radius of the sphere of the scale model = 35/3 = 11.67 feet

The volume of the scale model = π·r³/3 = (3.14×11.67³)/3 = 1662.07 ≈ 1662 ft³

The number of times smaller the scale model is than the actual volume = (Actual volume)/(Scale model) = (359,007 ft³)/(1662 ft³) = 216 times

The number of times smaller the scale model is than the actual volume =  216 times = (1/Scale of model)³ = (1/(1/6))³ = 6³.

Part 3:

The percentage of the mock-up, x, to the volume of the actual tank is given as follows

x/100 ×  1662  = 359,007

∴ x = 216 × 100 = 21600%

The percentage of the mock-up, to the volume of the actual tank is 21600%.

Answer:

Part 1: 359,007 ft³

Part 2: 216 times smaller

Part 3: 21600%

Step-by-step explanation:

Part 1:

The parameters for the tank are;

The radius of the tank = 70 feet

The volume of a sphere = 4/3·π·r³

Therefore, the volume of a quarter sphere = 1/4×The volume of a sphere

The volume of a quarter sphere = 1/4×4/3·π·r³ = π·r³/3

Plugging in the value for the radius gives

Volume = π×70³/3 = 114,333.33×3.14 = 359,006.7≈ 359,007 ft³.

Part 2:

The dimension of the scale model  = 1/6 × Actual dimension

Therefore, we have the radius of the sphere of the scale model = 1/6 × 70

Which gives;

The radius of the sphere of the scale model = 35/3 = 11.67 feet

The volume of the scale model = π·r³/3 = (3.14×11.67³)/3 = 1662.07 ≈ 1662 ft³

The number of times smaller the scale model is than the actual volume = (Actual volume)/(Scale model) = (359,007 ft³)/(1662 ft³) = 216 times

The number of times smaller the scale model is than the actual volume =  216 times = (1/Scale of model)³ = (1/(1/6))³ = 6³.

Part 3:

The percentage of the mock-up, x, to the volume of the actual tank is given as follows

x/100 ×  1662  = 359,007

∴ x = 216 × 100 = 21600%

The percentage of the mock-up, to the volume of the actual tank is 21600%.

Answer:

C.

Step-by-step explanation:

Hope this helps :)

Answer:

Approximate maximum height is 5 ft

\(h(\frac{18}{32} )= 5 \ ft\)

Step-by-step explanation:

\(h(t)=-16t^{2} + 18t\)      ---------- (1)

Differentiate equation (1)  w.r.t t and equate it to zero (in order to determine maxima)

\(h^{'}(t) = -32t+18\)

\(0= -32t+18\)

\(t=\frac{18}{32}\)

Substitute this value in equation (1)

\(h(\frac{18}{32} )=-16(\frac{18}{32} )^{2} + 18(\frac{18}{32} )\)

\(h(\frac{18}{32} )=-5+ 10\)

\(h(\frac{18}{32} )= 5 \ ft\)

The best summarizes for the result is:

O There is a moderate negative correlation between the variables.

A correlation coefficient measures the strength and direction of the relationship between two variables. The coefficient ranges from -1 to 1, with -1 indicating a perfect negative correlation, 0 indicating no correlation, and 1 indicating a perfect positive correlation.

In this case, the correlation coefficient of -0.524 indicates a moderate negative correlation between the variables. This means that as the value of one variable increases, the value of the other variable decreases, and vice versa. The negative sign indicates that the relationship is negative, and the absolute value of the coefficient (0.524) indicates that the relationship is moderate in strength.

Learn more about Correlation Coefficient here:

https://brainly.com/question/15577278

#SPJ4

The number of fliers that she has still not broadcasted will be 48 fliers.

Algebra is the study of ideational characters, while logic is the manipulation of all those opinions.

Linda had 90 fliers to post around town. Last week, she posted 1/5 of them. Then the number of fliers staying is given as,

⇒ (1 - 1/5) x 90

⇒ (4/5) x 90

⇒ 72 fliers

This week, she posted 1/3 of the remaining fliers. Then the number of fliers that she has still not broadcasted is given as,

⇒ (1 - 1/3) x 72

⇒ (2/3) x 72

⇒ 48 fliers

The number of fliers that she has still not broadcasted will be 48 fliers.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

it displays the computed sum and product of the diagonal elements.

Here's a MATLAB code to find the sum and product of the diagonal elements of a given matrix `A`, as well as an example execution for `A = ones(5)`:

```matlab

% Define the matrix A

A = ones(5);

% Get the size of the matrix

[n, ~] = size(A);

% Initialize variables for sum and product

diagonal_sum = 0;

diagonal_product = 1;

% Calculate the sum and product of diagonal elements

for i = 1:n

   diagonal_sum = diagonal_sum + A(i, i);

   diagonal_product = diagonal_product * A(i, i);

end

% Display the results

disp("Sum of diagonal elements: " + diagonal_sum);

disp("Product of diagonal elements: " + diagonal_product);

```

Example execution for `A = ones(5)`:

```

Sum of diagonal elements: 5

Product of diagonal elements: 1

```

In this example, `A = ones(5)` creates a 5x5 matrix filled with ones. The code then iterates over the diagonal elements (i.e., elements where the row index equals the column index) and accumulates the sum and product. Finally, it displays the computed sum and product of the diagonal elements.

To know more about MATLAB related question visit:

https://brainly.com/question/30763780

#SPJ11

Answer:

6 Hours = 0.0357 Weeks

Rounding off o nearest hundredth we get
=> 0.36

All done!

Answer:

 g(x) = f(5x)

Step-by-step explanation:

We assume that "shrink by a factor of 1/5" means that horizontal distances on the graph of g(x) are 1/5 of those on the graph of f(x).

Dividing x by a dilation factor will cause horizontal dilation of a graph. Here, that factor is 1/5, so the desired function is ...

 g(x) = f(x/(1/5))

 g(x) = f(5x)

Answer:

1 and 4 come in yes and 2 and 3 come into no mark as brainliest

Answer:

1) 5f

2) 45gm-7g

Step-by-step explanation:

hope this helped!

The process capability, Cp is calculated by dividing the upper specification limit minus lower specification limit by 6 times the process standard deviation.

This is the formula for the process capability.

Cp = (USL - LSL) / (6 * Standard deviation)

Where, Cp is process capability USL is the Upper Specification Limit LSL is the Lower Specification Limit Standard deviation is the process standard deviation.

The extrudate is subsequently cut into individual parts, and the extruded parts have a critical cross-sectional dimension = 12.50 mm with standard deviation = 0.25 mm. The mean of this distribution is the center line of the control chart and the critical cross-sectional dimension 12.50 mm is the target or specification value.

To know more about dividing visit :

https://brainly.com/question/15381501

#SPJ11

Answer:

a = 35

Step-by-step explanation:

\(a^2+b^2=c^2\\a^2+12^2=37^2\\a^2+144=1369\\a^2=1225\\a=35\)

The cost of a rugby ball is $6.57

The cost of a golf ball is $1.75

Let x represent the cost of a rugby ball and y represent the cost of a golf ball

2x + 3y= 18.39.........equation 1

5x + 7y= 45.10.........equation 2

multiply equation 1 by 5 and equation 2 by 2

10x + 15y= 91.95

-

10x + 14y= 90.2

y= 1.75

Substitute 1.75 for y in equation 2

5x + 7(1.75)= 45.10

5x + 12.25= 45.10

5x= 45.10-12.25

5x= 32.85

x= 32.85/5

x= 6.57

Hence the cost of a rugby ball is $6.57 and the cost of a golf ball is $1.75

Read more on equation here

https://brainly.com/question/11559804

#SPJ1