please help me i really need help

Answer:

  8.5 years

Step-by-step explanation:

You want to know the number of years until 18500 depreciates to 9100 at the rate of 8% per year.

The depreciation rate given as a percentage of current value tells you the depreciation is exponential. The formula will be ...

  value = (initial value) × (1 - (depreciation rate))^t

where the rate is "per year" and t is in years.

  value = 18500·(1 -0.08)^t

  9100 = 18500·0.92^t . . . . fill in the value of interest

  9100/18500 = 0.92^t . . . . divide by 18500

  log(91/185) = t·log(0.92) . . . . take logarithms

  t = log(91/185)/log(0.92) ≈ -0.3081/-0.03621 ≈ 8.509

It will be about 8.5 years until the value is $9100.

__

Additional comment

The graph shows the solution to ...

  18500·0.92^t -9100 = 0

We find it fairly easy to locate an x-intercept, so we wrote the equation in the forms that makes the x-intercept the solution.

The graph is plotted in the following figure .

To plot a graph we need 2 pts .

First eqn is of a circle ( \(x^{2}\) ) + ( \(y^{2}\) ) = 4

Second eqn is of a line x - y = 1

The center of circle is ( 0 , 0 )

The circle passes through ( 2 , 0 ) , ( 0 , 2 ) , ( - 2 , 0 ) , ( 0 , - 2 ) .

The line passes through ( 0 , 1 ) , ( 0 , - 1 ) .

To learn more on circles plotting follow link :

https://brainly.com/question/24375372

#SPJ9

Answer:

Simplify the expression.

Exact Form: 95 /8

Decimal Form:  11.875

Mixed Number Form:  11  and 7 /8

Step-by-step explanation:

Answer:

11 7/8

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

The distance between Rex and the dolphin is 112 feet.

calculation:-

The distance between  Paulo and the dolphin is = 100 feet distance between

Let the  Rex and Paulo is 50 feet ( according to the question)

∴The Distance between Rex and the dolphin \(\sqrt{(100)^{2} +\sqrt{50}^{2} }\)

                                                                         ⇒\(\sqrt{10000+2500}\)

                                                                         ⇒\(\sqrt{12500}\)

                                                                         ⇒111.8

Learn more about triangles here:-https://brainly.com/question/17335144

#SPJ2

Answer: 13/25

Step-by-step explanation: it is equal to 52% which is greater than 50%

50% is greater than 13/25. To compare these two values, you can convert both of them to a common denominator, such as 50%. 50% is equal to 1/2, so 13/25 is equal to 52/50, which is less than 1/2 or 50%. Alternatively, you can also express both fractions as decimals and compare the two values that way. 50% is equal to 0.5, and 13/25 is equal to 0.52, so 50% is still greater than 13/25.

Answer:

The answer is actually B.

Step-by-step explanation:

3(1+4x)=12x

(3)(1)+(3)(4x)=12x(Distribute)

3+12x=12x

12x+3=12x

Step 2: Subtract 12x from both sides.

12x+3−12x=12x−12x

3=0

Step 3: Subtract 3 from both sides.

3−3=0−3

0=−3

(Can't be negative)

Answer:

<A=56.64

<B=114.99

<C=8.33

Step-by-step explanation:

let angle C be x

8x-10+3x+90+x=180°[sum of inside the triangle is 180°]

12x+80=180

12x=180-80

x=100/12

x=8.33

now putting the value of x

angle C is 8.33

angle A is 56.64

angle B is 114.99

Answer: (3,8) and (-2, 10)

Step-by-step explanation:

the slope of the line passing

Answer:

To calculate the total amount, first find out how much you contribute and then add the amount your employer contributes.

Your contribution: 10% of $50,000

= ($50,000 * 10) / 100

= $5,000

Employer's contribution: 3% of $50,000

= ($50,000 * 3) / 100

= $1,500

Total contribution:

= Your contribution + Employer's contribution

= $5,000 + $1,500

= $6,500

So, the total amount being put away in your account each year is $6,500.

Step-by-step explanation:

Answer:

P = 68.95

Step-by-step explanation:

Here, we want to get the measure of angle P

Please check the attachment for the diagram of the triangle

To get P, we use the cosine rule

p^2 = m^2 + n^2 - 2mn Cos P

60^2 = 51.4^2 + 54.5^2 -2(51.4)(54.5) Cos P

2012.21 = 5602.6 Cos P

cos P = 2012.21/5602.6

cos P = 0.3592

P = arc cos 0.3592

P = 68.95

Let \(y=\cos(2x)\), with first two derivatives

\(Dy = -2\sin(2x)\)

\(D^2y = -4\cos(2x)\)

Consider the linear ODE

\(aD^2y + bDy + cy = 0\)

Substitute \(y\) and its derivatives and solve for the unknown coefficients \(a,b,c\).

\(-4a\cos(2x) - 2b\sin(2x) + c\cos(2x) = 0\)

\(\implies \begin{cases}-4a+c=0 \\ -2b=0 \end{cases}\)

\(\implies b=0 \text{ and } c= 4a\)

Then the minimal ODE with this solution is

\(aD^2y + 4ay = 0 \implies \boxed{D^2y + 4y = 0}\)

The unequal distribution of preexisting memory abilities between the rote memorization and elaborative encoding groups is an example of an unintended confounding variable in the study. This confounding variable could affect the interpretation of the results and make it difficult to attribute any observed differences solely to the instructional method.

Randomization techniques should have been implemented to ensure even distribution of preexisting memory abilities across the two groups and minimize the impact of confounding variables.

This is an example of an unintended confounding variable in the study design. The researcher intended to compare rote memorization with elaborative encoding, but due to random chance, the two groups of students ended up having different preexisting memory abilities. Specifically, 7 out of 8 students in the rote memorization group had poor preexisting memory abilities, while 7 out of 8 students in the elaborative encoding group had good preexisting memory abilities.

Confounding variables are factors other than the independent variable that may influence the results of an experiment. In this case, preexisting memory abilities are a confounding variable because they are not controlled or balanced across the two groups. The unequal distribution of preexisting memory abilities between the rote memorization and elaborative encoding groups makes it difficult to determine whether any observed differences in memory performance are due to the instructional method or the initial memory abilities of the participants.

To address this confounding variable, the researcher should have implemented randomization techniques to ensure that preexisting memory abilities are evenly distributed across the two groups. Random assignment of participants to conditions helps minimize the impact of confounding variables by distributing their effects equally between groups.

In conclusion, the uneven distribution of preexisting memory abilities between the rote memorization and elaborative encoding groups is an example of an unintended confounding variable in this study. This could affect the interpretation of the results and make it challenging to attribute any observed differences solely to the instructional method.

To know more about confounding variables, refer here:

https://brainly.com/question/30765416#

#SPJ11

(a) E(X) = 29 and V(X) = 18

(b) P(X = 32) = 0.2707

(c) P(X = 29) = 0.2707

(d) E(5Y) = 10 defects and V(5Y) = 10 defects

(a) The expected value of X is

E(X) = E(35 - 3Y)

= 35 - 3E(Y)

= 35 - 3(2)

= 29

The variance of X is

V(X) = V(35 - 3Y)

= 9V(Y)

= 9(2)

= 18

(b) The probability of exactly 1 defect in 1 foot is

P(Y = 1) = (e^-2)(2^1) / 1! = 0.2707

So the probability of profit per foot being X = 35 - 3Y when there is exactly 1 defect in 1 foot is

P(X = 32) = P(Y = 1) = 0.2707

(c) The probability of exactly 2 defects in 2 feet is

P(Y = 2) = (e^-2)(2^2) / 2! = 0.2707

So the probability of profit per foot being X = 35 - 3Y when there are exactly 2 defects in 2 feet is

P(X = 29) = P(Y = 2) = 0.2707

(d) The mean and variance for the number of defects in 5 feet are:

E(Y) = mean defects in 1 foot = 2 defects

E(5Y) = mean defects in 5 feet = 5E(Y) = 10 defects

V(Y) = variance of defects in 1 foot = mean defects in 1 foot = 2 defects

V(5Y) = variance of defects in 5 feet = 5V(Y) = 10 defects

Learn more about probability here

brainly.com/question/20713551

#SPJ4

Answer:

$81,728

Step-by-step explanation:

For reference: 1 pound = 16 ounces.

Therefore, 4 pounds of gold must be 16 * 4 = 64 ounces.

Since each ounce is $1,277, we must have the total cost of the gold to be $1,277 * 64 = $81,728.

The key word here is "per", which means to multiply.

Answer:Answer:5,108

Step-by-step explanation:

Answer:

\(-(x-y)^2\)

Step-by-step explanation:

Original expression:

\(-x^2+2xy-y^2\)

Factor out -1:

\(\implies -(x^2-2xy+y^2)\)

Factor \(x^2-2xy+y^2\):

\(\implies -(x-y)(x-y)\)

Apply exponent rule \(aa=a^2\):

\(\implies -(x-y)^2\)

The type of research design used in the study is of:

Quantitative research design.

There are two types of research design, and they are classified as follows:

In this problem, the rates of cyberbullying will be analyzed, which is a numeric measure, hence it is a quantitative research design.

More can be learned about the types of research design at https://brainly.com/question/11102084

#SPJ1

The triangle when dilated by a scale factor of -1/2 the final image is at the coordinates:

A' = (6, 3)

B' = (6, 5.5)

C' = (5, 4)

The coordinates of the preimage are

(-3, 3), (-3, -2), and (-1, 1)

this is achieved using the formula

=  (k(x - a) + a, k(y - b) + b)

(a, b) is the center of dilation and k is the scale factor

the dilation is done as follows

preimage      dilation                                         image

(-3, 3)         (-0.5(-3 - 3) + 3, -0.5(3 - 3) + 3)        (6, 3)

(-3, -2)       (-0.5(-3 - 3) + 3, -0.5(-2 - 3) + 3)       (6, 5.5)

(-1, 1)          (-0.5(-1 - 3) + 3, -0.5(1 - 3) + 3)          (5, 4)

The final coordinates are (6, 3), (6, 5.5) and (5, 4)

Learn more about dilation at:

https://brainly.com/question/29694576

#SPJ1

Answer:

13º

Step-by-step explanation:

25-12=13

Answer:

The temperature will be 13 degrees.

Step-by-step explanation:

Take the current temperature and add 25 degrees

-12+25

25-12

23

The temperature will be 13 degrees.

Answer:

na u aint

Step-by-step explanation:

i get that feeling all the time it sucks

Answer:

1 and 5/10 or 1 and 1/2

Step-by-step explanation:

5 and 3/10 - 3 and 4/5 -

\(\frac{53}{10}\)  - \(\frac{19}{5}\)

=\(\frac{15}{10}\)

1 and 5/10 or 1 and 1/2

Answer:

Ghana this is because they are very religious

Answer:

93+30=123 so e equals 123

Step-by-step explanation:

To check, do 123-30=93

If resources are doubled at the processing station, the cashier station would become the bottleneck in the process, while the registration and ID processing stations would not be the bottlenecks.

To determine the impact of doubling resources at the processing station, let's analyze the overall process and identify the bottleneck.

Given:

• Registration time: 2.5 minutes per student

• Cashier time: 6 minutes per student

• ID processing time: 15 minutes per student

• Demand rate: 0.5 student per minute

First, let's calculate the total time spent per student in the current system: Total time per student = Registration time + Cashier time + ID processing time = 2.5 + 6 + 15 = 23.5 minutes

Now, let's calculate the total number of students served per minute: Number of students served per minute = Demand rate = 0.5 student per minute

Since the demand rate is lower than the rate at which students are currently being served (0.5 < 1 student per minute), we can conclude that the process is currently resource-constrained, not demand-constrained.

If resources are doubled at the processing station, the ID processing time will be reduced to half, i.e., 7.5 minutes per student. This would make the cashier station the bottleneck, as the total time per student would become 16 minutes (2.5 + 6 + 7.5). Therefore, the conclusion is: The cashier station becomes the bottleneck.

In summary, if resources are doubled at the processing station, the cashier station would become the bottleneck in the process, while the registration and ID processing stations would not be the bottlenecks.

Learn more about bottlenecks

https://brainly.com/question/1266568

#SPJ11

HOPE THIS HELPS YOU...

Answer:

so far he has saved 27 dollars however he needs 33 more dollars

Step-by-step explanation:

okay so if it says "____ of x" you normally have to multiply (of is a hint)

so first lets see how much he saved

0.45(60) = 27

he saved 27 dollars so far. to find how much more he has to save, you have to do the amount he needs minus the amount he already has

sooo

60 - 27 = 33

uhhh im not sure what the graph table thing on the right is, but i hope this helps a little

edit: ohhhhh so in the table all you have to do is fill in the information. im sure u can do it, but if you still dont know how to just reply here and ill help!

The true or false statements based on the graph on the lengths of ribbons are:

The graph shows that most common length that a ribbon has is 11²/₈ with 3 ribbons. At a simpler term, this becomes 11¹/₄.

The sum of the longest and shortest lengths is:

= 11¹/₄ + 9⁷/₈

= 21⁹/₈

The sum is therefore not 20¹/₈.

The difference between the longest and shortest lengths is:

= 11¹/₄ - 9⁷/₈

= 1³/₈

This is not 2 ¹/₈

Find out more on interpreting graphs at https://brainly.com/question/1638242

#SPJ4

Answer:

Ten is at least the product of a number h and 5. h = 2

Step-by-step explanation:

Divide 10 by 5 and you get 2.

Check; 5 x 2 = 10

Answer:

21.24%

Step-by-step explanation:

Speed=Distance/time

Rewriting equation time=distance/speed

75/18= 4.33

105/20=5.25

21.24% increase