How long does it take $6,000 to quadruple if it is invested at 9.1% interest compounded annually?

a
15.9 years
b
17.8 years
c
37 years
d
222,222.22 years

Answers

Answer 1

Answer:

1. 15.9 years

Step-by-step explanation:

You must solve this equation:

[tex]6000 \cdot 1.091^n > 24000[/tex]

So [tex]1.091^n > 4[/tex]

Take the log left and right:

[tex]\log 1.091^n > \log 4[/tex]

use the log property that you can put the exponent in front:

[tex]n \cdot \log 1.091 > \log 4[/tex]

[tex]n > \frac{\log 4}{\log 1.091}[/tex]

n > 15.917


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Round 7 to the nearest 10​

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Answer:

You can't round 7 to the nearest to 10, because there is nothing to round.

Step-by-step explanation:

Which expression is equivalent to the expression below?
7x+5y+x+x+x+x

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Answer:

11x+5y

Step-by-step explanation:

7x+5y+x+x+x+x

Combine like terms

7x+x+x+x+x  +5y

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A footballer attempted 30 goals during a match and only makes 12. What fraction of the attempted goals did he make?

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Answer:

2/5

Step-by-step explanation:

you have to reduce each number by 6

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10. Find the slope of the line.

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Answer:

-2/1

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Answer:

B 14.13 [tex]in^{3}[/tex]

Step-by-step explanation:

Volume of cone is [tex]\pi r^{2} \frac{height}{3}[/tex]

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Elena would like to know the average height of seventh graders in her school district. She measures the heights of everyone in a random sample of 20 students. The mean height of Elena's sample is 58 inches, and the MAD (mean absolute deviation) is 3 inches. Select all the true statements. The mean height of all seventh graders is likely be between 52 and 64 inches. Another random sample of 20 students will always have a mean of 58 inches. A sample of 20 female students would be more likely to get an accurate estimate of the mean height of the population than a sample of a mix of 20 male and female students. m A sample of 100 seventh graders would be more likely to get an accurate estimate of the mean height of the population than a sample of 20 seventh graders. a Elena's sample proves that half of all seventh graders are taller than 58 inches.​

Answers

Answer:

A.  The median height of the sample must be between 59 and 63 inches.

B. Another random sample of 20 students is likely to have a mean between 57 and 65 inches.

E.  Elena would be more likely to get an accurate estimate of the mean height of the population  by sampling 40 people instead of sampling 20 people.

Step-by-step explanation:

The mean absolute deviation shows the variation in a given data set. It can be determined by calculating the mean of the absolute value of the initial mean and each data set. It describes how spread out the data set are.

With respect to Elena's sampling, the mean absolute deviation is 2. This shows that there is little variation among the data set.

The estimate becomes more accurate if she increase the sample size. Thus options A, B and E are appropriate.

we can ise the distance formula or pythagorean theorem to find the length of a segment? true or false

Answers

Answer:

I think its true

Step-by-step explanation:

The table below displays the enrollment of freshmen taking Algebra 1. Geometry, or Algebra 2.
The total number of girls enrolled is equal to the number of boys.
There are twice as many boys enrolled in Algebra 1 as boys enrolled in Geometry.
Based on this information, complete the two-way table below.

Answers

Answer:

for the boys it is 92 then 58 and the total is 150 an then 68 for the girls then for the total it is 100

The missing values in the two-way table is shown in the table in the image attached below.

What is a Two-way Table?

A two-way table can be described as a table that displays the frequencies of two categorical variables, in such a way that, one category is represented by columns and the other by rows.

Given the information, the missing values in the two-way table would be:

Total number of boys enrolled = 150

Boys that enrolled in Algebra 1 = 2(46) = 92

Boys that enrolled in Algebra 2 = 150 - 92 - 46 = 12

Girls that enrolled in Algebra 1 = 150 - 54 - 28 = 68

Total for boys and girls that enrolled in Geometry = 46 + 54 = 100.

Therefore, the missing values in the two-way table is shown in the table in the image attached below.

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Answer:

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Step-by-step explanation:

Which function represents exponential decay?

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the answer to your question would be D

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Answer:The first table would be a proportional relationship.

Step-by-step explanation:

It's the only table with a constant, which is required in a proportional relationship. The constant would be 1300 which you can find by divided the two numbers in each row.

(2+h)^4 is equal to what​

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Answer:

16+32h+24h²+8h³+[tex]h^{4}[/tex]

Step-by-step explanation:

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Answer:

10 minutes

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Answer:

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Answer:

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Step-by-step explanation:

:)

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Solve for the nearest tenth

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Answer:

426.9

Step-by-step explanation:

Você precisa colocar suas renas, Raposa, Trovão, Cometa e Relâmpago, em uma fila única para puxar o seu trenó. No entanto, Cometa e Raposa são melhores amigos e precisam ficar juntos. De quantas maneiras você pode organizar as renas?

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Answer:

If the reindeer do not fight, there are 5!=120 ways to line them up in a straight line.

Out of these, Bloopin and Rudy are together in 4!=24 times.  Similarly Rudy and Bloopin will be together 4!=24 times.  So the number of ways they are not together is 120-24-24=72 ways.

Hope this helps.    :)

Step-by-step explanation:

Spanish:

Si los renos no luchan, hay 5! = 120 formas de alinearlos en línea recta.

De estos, Bloopin y Rudy están juntos en 4! = 24 veces. De manera similar, Rudy y Bloopin estarán juntos 4! = 24 veces. Entonces, el número de formas en que no están juntas es 120-24-24 = 72 formas.

Espero que esto ayude       :)

Find the missing number in the proportion.

23 over 50 = ___ over 100​

Answers

Answer:

46

Step-by-step explanation:

let that number x

so [tex]\frac{23}{50} =\frac{x}{100}[/tex]

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so 50x=2300 divide both by 50

x=46

Answer:

46

Step-by-step explanation:

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Answers

The answer is line segment

Answer:A part of a line with endpoints on both ends is a(n):

A line with 2 endpoints is called a line segment. We know that it is a segment because the endpoints make the line finite

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

What is the volume of the composite object below?

Answers

Answer:

216 cubic inches

Step-by-step explanation:

(9)(3)(3)=81

(3)(3)(9)=81

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81+81+54=216

So, it's 216 cubic inches in volume.

Between which two numbers is √8 located on a number line? ​

Answers

Answer:

√8 is between 2 and 3.

Step-by-step explanation:

♡ im sorry if its wrong ♡

Although it is now extinct, the Carolina parakeet was last seen in Florida in 1920. Back then, large areas of habitat were logged and converted to agricultural fields. Honeybees evicted the parakeets from hollow trees where they nested. Many parakeets were shot for food and their feathers. In addition, farmers shot the parakeets to keep them from eating their seeds. What can you conclude from these observations about why the Carolina parakeet became extinct?
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b.Extinction is always the result of human activity.

c.Extinction occurs when an organism adapts to changes in its environment.

d.Extinction can be reversed if conservation measures are immediately put in place.

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Answer:

a

Step-by-step explanation:

The radius of the earth is 6370 km what is the approximate circumference of the earth?

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If we were to take a cross-section of our planet on the equator, we would get a circle. So, the circumference of this circle is the distance one would have to travel to go around the earth. The formula for the circumference of the circle is 2 x r x pi. The radius of the Earth is r, and pi is approximately 3.1415. So, the circumference is 2 x 6370 x 3.1415, which equals 40 029 km, or approximately 40 thousand kilometers.

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Step-by-step explanation:

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A dog shelter has 22 poodles. The number of poodles is doubling every year. How long before the shelter has 22,528 poodles?

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Answer:

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How many significant figures will the answer to the following problem have? You do not have to solve the problem. 8.82 -3.4 =​

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Answer:

5.42

Step-by-step explanation:

8.82 -3.4 = 5.42

The solution to the problem will have two significant figures.

What are significant figures?

The number of digits in a value, generally a measurement, that contributes to the degree of precision of the value is referred to as significant figures. At the first non-zero digit, we begin calculating significant numbers.

The given problem 8.82 -3.4 has two digits after the decimal place. Hence, The solution to the problem will have two significant figures.

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Laura borrowed $44,000 at 13% for 2 years. what was the total interest?

Answers

Answer:

13% of 44,000

Do the math then you’ll get the answer :)

Answer:

$12,183.60

Step-by-step explanation:

(I am assuming this is monthly interest and not continuous interest)

$44,000(1.13)² = $44,000(1.2769) = $56,183.60 - $44,000 = $12,183.60

Here is an expression: 2 + 3ⁱ ( Remember what you do when you replace i with a number) Evaluate the expression when i is 1.

Answers

Answer:

The value of the expression when i is 1 is equals to 5.

Step-by-step explanation:

We are given the following expression:

[tex]2 + 3^{i}[/tex]

Evaluate the expression when i is 1.

We replace i by 1. When we elevate a number to the 1, the result is the number we elevate. So

[tex]2 + 3^{i} = 2 + 3^{1} = 2 + 3 = 5[/tex]

The value of the expression when i is 1 is equals to 5.

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finding angle measures with trig. Find the missing angle measures. Round to the nearest whole number​​

Answers

Answer:

#1

30° as opposite side is half of the hypotenuse

#2

7/16 = tan xx = arctan (7/16) = 24°

#3

31/50 = tan xx = arctan (31/50) = 32°

#4

5/7 = cos xx = arccos (5/7) = 44°

#5

4/14 = sin xx = arcsin (4/14) = 17°

#6

6/7 = cos xx = arccos (6/7) = 31°

#7

29/37 = tan xx = arctan (29/37) = 38°

#8

43/60 = sin xx = arcsin (43/60) = 46°

#9

32/44 = cos xx = arccos (32/44) = 43°

Answer:

let angle be x

Step-by-step explanation:

relationship between perpendicular and hypotenuse is given by sin angle

sin x =p/h

sin x=13/26

x=sin-¹(13/26)=30°

2.relationship between perpendicular and base is given by tan angle

tan x =p/b

tan x =7/16

x=tan -¹(7/16)=23.63°

3.relationship between between perpendicular and base is given by tan angle

tan x =p/b

tanx=31/50

x=tan-¹(31/50)=31.8°

4.relationship between base and hypotenuse is given by cos angle

cos x =b/h

cos x=5/7

x=cos-1(5/7)=44.4°

5.relationship between perpendicular and hypotenuse is given by sin angle

sin x =p/h

sin x=4/14

x=sin-¹(4/14)=16.6

6..relationship between base and hypotenuse is given by cos angle

cos x=6/7

x=cos-¹(6/7)=31.0027

7.relationship between perpendicular and base is given by tan angle

.tanx=29/37

x=tan-¹(29/37)=38.09

8.relationship between perpendicular and hypotenuse is given by sin angle

.sin x=43/60

x=sin-¹(43/60)=45.78

9..relationship between base and hypotenuse is given by cos angle

cos x=32/44

x=cos-¹(32/44)=43.34

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