At the age of 10, Edgar received an inheritance of $10,000. His father wants to invest the money in an account that will double in value in 8 years. Approximately what interest rate does the father need to find in order to reach his goal?

Answer:

A

Step-by-step explanation:

hope this help

Answer:

-5

Step-by-step explanation:

For an expression to be undefined, the denominator must be equal to 0

Therefore, we must equate the denominator in the expression to 0

2v + 10 = 0

2v = 0 - 10

2v = -10

v = -10/2

v = -5

So in order for the expression to be undefined, v must be equal to -5

The sequence is arithmetic, since the forward difference between consecutive terms is -9.

7 - 16 = -9

-2 - 7 = -9

etc.

This means the sequence has the formula

[tex]a_n=16-9(n-1)=25-9n[/tex]

The sum of the first 30 terms is

[tex]\displaystyle\sum_{n=1}^{30}a_n=25\sum_{n=1}^{30}1-9\sum_{n=1}^{30}n[/tex]

Recall the formulas,

[tex]\displaystyle\sum_{k=1}^n1=\underbrace{1+1+\cdots+1}_{n\text{ times}}=n[/tex]

[tex]\displaystyle\sum_{k=1}^nk=1+2+3+\cdots+n=\frac{n(n+1)}2[/tex]

Then the sum we want is

[tex]\displaystyle\sum_{n=1}^{30}a_n=25\cdot30-\frac{9\cdot30\cdot31}2=\boxed{-3435}[/tex]

Answer:

y=2(x-1)+5

Step-by-step explanation:

We know that it is 5 dollars for the first minute so we know the equation will start off with +5.

Than for the rest of the minutes, we have to make sure to subtract one from them, because the first number is worth 3 dollars more. Which is why it is x-1.

Then we multiply the new value times 2, because each additional minute is 2 dollars more.

Answer:

Step-by-step explanation:

Step-by-step explanation:

Remove the parentheses: 15a²-6ab+8a²+20+5ab-31+a²-ab Combine like terms: 24a²-2ab-11

Answer: 24a²-2ab-11

Hi

As you can only add or substract item of the same nature, you must re organise  terms.

so :

A = 15 a2 - 6ab- 8 a2+ 20 - 5ab - 31 + a2- ab  

Here  I have  :   " a²"  ;  "ab"  then numbers.

In general, you start with letters with highest exponant.  If two letters have the same exponent, use alphabetic order.

let's  put order  :

A = 15a²-8a²+a² -6ab-5ab -ab+20-31  

Now you  add or substract item of the same kind :  

A = 8a² -12ab - 9

Here I can not do anything else, so calculus is over.  

Answer:

14x+4

Step-by-step explanation:

17x-3x=14x

Answer:

1. using hand sanitizer with at least 60% alcohol

2. the probability of contracting a disease is lower if you wash your hands than if you don't wash your hands. That is: P (disease if you wash your hands) < P (disease if you don't wash your hands).

Step-by-step explanation:

1. Noteworthy is the fact that alcohol based hand sanitizers provide good protections to germs, viruses as when one washes his hands with soap for 20 seconds. This was indicated in the video as an acceptable alternative to washing your hands for 20 seconds with respect to preventing illness.

2. Remember, probability implies an assumption of possiblity or likelihood of something happening. Thus, the video's message implies that when people wash their hands it reduces the likelihood (that is, the probability) of contracting diseases. One stands a lower chance of : P (disease if you wash your hands) < P (disease if you don't wash your hands).

Answer:

Jargon that they both understand will be used.

Step-by-step explanation:

Jargon that they both understand will be used.

Jargon is a literary term that is defined as the use of specific phrases and words in a particular situation, profession, or trade. The use of jargon becomes important in prose or verse or some technical pieces of writing, when the writer plans to convey something only to the readers who are aware of these terms. Some of such examples are:

Due diligence: This is a business term, which refers to the research that should be done before making an important business decision.

AWOL: Short for "absent without leave," AWOL is military jargon used to describe a person whose whereabouts is unknown.

Answer:

 total  number of votes was  8265.

Step-by-step explanation:

Ratio of yes to no votes = 5:6

we know by rule of indices that

a/b = a*x/b*x

let the no. of people who voted yes be 5x

the no. of people who voted no be 6x

Thus, total no of votes = 5x+6x= 11x

given that

If there were 4508 no votes

thus,

6x = 4508

x = 4508/6 = 751 1/3 = 751.33

Thus, total no. of votes = 11 x = 11* 751.33 = 8264.63

rounding it to next integral no. as no. of votes cannot be fraction or decimal

the total  number of votes was  8265.

Answer:

93 child tickets

Step-by-step explanation:

Create a system of equations where c is the number of child tickets sold and a is the number of adult tickets sold:

c + a = 171

5.80c + 9.70a = 1296.00

Solve by elimination by multiplying the top equation by -9.7:

-9.7c - 9.7a = -1658.7

5.8c + 9.7a = 1296

Add these together and solve for c:

-3.9c = -362.7

c = 93

So, 93 child tickets were sold.

Answer:

"Teens and Distracted Driving: Texting, Talking and Other Uses of the Cell Phone Behind the Wheel"

a. The inference made involves estimation.  The question provided that the statements were made on the basis of the resulting data and not on the basis of some hypothesis testing.

This implies that some statistics were calculated from sample data to approximate the population parameter, as shown in the statements.  The statements were not an attempt to establish the statistical significance of some claims.

b. The population of interest is American teenagers between 12-17.

Step-by-step explanation:

An inference from data is a statistical estimation by which some statistics are calculated based on the sample data of 800 teens between the ages of 12 and 17.  The statistics serve as an approximation to the population parameter.

Inference based on hypothesis testing establishes if a claim has statistical significance by providing  statistical evidence in favor of the claim or against it.

given: [tex] Ac=\frac{vt2}r \quad vt=2 \quad r=2[/tex]

$\therefore Ac=\frac{(2)2}{2}=2$

Answer:

divide 99 by 5

99/5= 19.8

The correct question is;

Calculate the derivative of the function. Then find the value of the derivative as specified:

f(x) = 5x + 9; f '(2)

A) f'(x) = 0; f'(2) = 0

B) f'(x) = 9; f '(2) = 9

C)f'(x) = 5; f'(2) = 5

D) f '(x) = 5x; f '(2) = 10

Answer:

Option C: f'(x) = 5 and f '(2) = 5

Step-by-step explanation:

We want to find the derivative of f(x) = 5x + 9.

Now, the derivative with respect to x will be;

f'(x) = 5

Now,we also want to find out f'(2)

This means we are to put 2 for x in the derivative function.

In the derivative function, we don't have x as we have just 5.

Thus,f'(2) = 5

Answer:

5/14

Step-by-step explanation:

1[tex]\frac{3}{4}[/tex] = 7/4

4[tex]\frac{9}{10}[/tex] = 49/10

[tex]\frac{7}{4}[/tex] / [tex]\frac{49}{10}[/tex]

[tex]\frac{7}{4}[/tex] x [tex]\frac{10}{49}[/tex] = [tex]\frac{70}{196}[/tex]

or

[tex]\frac{1}{2}[/tex] x [tex]\frac{5}{7}[/tex] = [tex]\frac{5}{14}[/tex]

Answer:

e

Step-by-step explanation:

e

Answer:

Step-by-step explanation:

Since 8 is a factor of 24, 8 is the GCF of the pair, and 24 is the LCM of the pair.

__

The ratio 8/24 is reduced by observing that 24 = 8·3:

  8/24 = 8/(8·3) = (8/8)·(1/3)

  8/24 = 1/3

Answer:

Step-by-step explanation:

step one :

Given that the equation of the circle is described as

[tex]x^2 + y^2 = 64[/tex]

To correctly identify the center of the circle we have to place the equation in the standard form.

the standard equation for a circle is

[tex](x-h)^2+(x-k)^2= r^2[/tex]

step two :

let us re-write the given equation so that we can compare it with the general equation of circle

[tex](x-0)^2+(x-0)^2= 8^2[/tex]

step three:

From this above equation in step two we can see that the circle has a radius of 8

Answer:

[tex]5x + 2 = 100 \\ 5x = 100 - 2 \\ 5x = 98 \\ x = \frac{98}{5} \\ x = 19.6[/tex]

Answer: the answer would be x because that's the actual variable in the question then if 19.6 was not an option

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given a plane passing through the point(1, 5,-1) and perpendicular to the vector (1, 5, 1), the equation of the plane can be expressed generally as;

a(x-x₀)+b(y-y₀)+c(z-z₀) = 0 where (x₀, y₀, z₀) is the point on the plane and (a, b,c) is the normal vector perpendicular to the plane i.e (1,5,1)

Given the point P (1, 5, -1) and the normal vector n(1, 5, 1)

x₀ = 1, y₀ =5, z₀ = -1, a = 1, b = 5 and c = 1

Substituting this point in the formula we will have;

a(x-x₀)+b(y-y₀)+c(z-z₀) = 0

1(x-1)+5(y-5)+1(z-(-1)) = 0

(x-1)+5(y-5)+(z+1) = 0

x-1+5y-25+z+1 = 0

x+5y+z-1-25+1 = 0

x+5y+z-25 = 0

x+5y+z = 25

The final expression gives the equation of the plane.

Answer:

f(1/3) = 6

Step-by-step explanation:

f(x) =-3x+7

Let x = 1/3

f(1/3) =-3*1/3+7

        = -1 +7

       = 6

Answer:

f(1/3) = 6

Step-by-step explanation:

The function is:

● f(x) = -3x+7

Replace x by 1/3 to khow the value of f(1/3)

● f(1/3) = -3×(1/3) +7 = -1 +7 = 6

Answer:

Ordering a soft drink is independent of ordering a square pizza.

Step-by-step explanation:

20% more customers order a soft drink than pizza, therefore they cannot be intertwined.

Given: P(A)=0.5 & P(B)=.7

P(A∩B) =  P(A) × P(B)

=  0.5 × .7

=  0.35

P(A∪B) =  P(A) + P(B) - P(A∩B)

=  0.5 + .7 - 0.35

=  0.85

P(AΔB) =  P(A) + P(B) - 2P(A∩B)

=  0.5 + .7 - 2×0.35

=  0.5

P(A') =  1 - P(A)

=  1 - 0.5

=  0.5

P(B') =  1 - P(B)

=  1 - .7

=  0.3

P((A∪B)') =  1 - P(A∪B)

=  1 - 0.85

=  0.15

Yes ordering a soft drink is independent of ordering a square pizza.

We have given 50 percent of the customers at Pizza Palooza order a square pizza, 70 percent order a soft drink, and 35 percent order both a square pizza and a soft drink.

Let A: denote pizza

     B: Soft drink

Then,

P(A)=0.5 and P(B)=0.7

And P(A∩B) =  P(A) × P(B)

=  0.5 × 0.7

=  0.35

We know P(A∪B) =  P(A) + P(B) - P(A∩B)

=  0.5 + 0.7 - 0.35

=  0.85

P(AΔB) =  P(A) + P(B) - 2P(A∩B)

=  0.5 + 0.7 - 2×0.35

=  0.5

Also we know P(A') =  1 - P(A)

=  1 - 0.5

=  0.5

And P(B') =  1 - P(B)  

=  1 -0.7

=  0.3

And P((A∪B)') =  1 - P(A∪B)

=  1 - 0.85

=  0.15

Learn more:https://brainly.in/question/16017018

Answer:

Music place has a better buy

Step-by-step explanation:

CD express

60 dollars / 4 cds = 15 dollars per cd

Music places

75 dollars / 6 cds = 12.50 per cd

Answer:

The probability is  [tex]P(X > x ) = 0.19215[/tex]

Step-by-step explanation:

From the question we are told that

   Th The population mean [tex]\mu = \$ 1,999[/tex]

    The  standard deviation is  [tex]\sigma = \$ 574[/tex]

    The  values considered is  [tex]x = \$ 2,500[/tex]

Given that the distribution of the amounts spent follows the normal distribution then the  percent of the adults spend more than $2,550 per year on reading and entertainment is mathematically represented as

    [tex]P(X > x ) = P(\frac{ X - \mu}{\sigma } > \frac{ x - \mu}{\sigma } )[/tex]

Generally  

            [tex]X - \mu}{\sigma } = Z (The \ standardized \ value \ of \ X )[/tex]

So

      [tex]P(X > x ) = P(Z > \frac{ x - \mu}{\sigma } )[/tex]

substituting values

      [tex]P(X > 2500 ) = P(Z > \frac{ 2500 - 1999}{574 } )[/tex]

      [tex]P(X > 2500 ) = P(Z >0.87 )[/tex]

From the normal distribution table the value of [tex]P(Z >0.87 )[/tex] is  

       [tex]P(Z >0.87 ) = 0.19215[/tex]

Thus  

       [tex]P(X > x ) = 0.19215[/tex]

Step-by-step explanation:

Z will stay the same since the 2 will divide into 1

Answer:

1/256

Step-by-step explanation:

[tex]4^{-4}[/tex]

[tex](1/4)^{4}[/tex]

=> 1/256

5 minutes in bike and by walking 1 hours 3 minutes

Traci Lynn saves getting to class each morning if she were to ride  6.12 minute

The formula is used to find the value of time is;

Time = Distance/speed

Given that Traci Lynn currently walks to school from her apartment, which is 1.3 miles away from her first class.

If she goes to school from the apartment by walking, then it will take time is;

Time = 1.3/3

Time = 0.43 hours

If she goes to school from the apartment by bicycle, then it will take time is;

Time = 1.3/5

Times = 0.26 hours

Therefore,

The time in minutes could Traci Lynn save getting to class each morning if She ride the bike is;

0.43 - 0.26

= 0.17 hours

= 0.17 x 36 = 6.12 minute

Hence, Traci Lynn saves getting to class each morning if she were to ride  6.12 minute

To know more about the Time formula click the link given below.

brainly.com/question/10470257

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Answer: C

Step-by-step explanation: