A person invested $440 in an account growing at a rate allowing the money to double every 8 years. How long, to the nearest tenth of a year would it take for the value of the account to reach $2,860?​

Answers

Answer 1

9514 1404 393

Answer:

  21.6 years

Step-by-step explanation:

The first statement tells you the account balance can be modeled by ...

  A = 440(2)^(t/8) . . . . . where t is in years

We want to find t when A = 2860

  2860 = 440(2^(t/8))

  6.5 = 2^(t/8) . . . . . . . . . . divide by 440

  log(6.5) = (t/8)log(2) . . . . take logarithms

  t = 8·log(6.5)/log(2) ≈ 21.604 . . . . . . divide by the coefficient of t; evaluate

It would take about 21.6 years for the value to reach $2,860.


Related Questions

The number of direct-report employees to the department directors of a company are as follows: 23, 28, 41, 29, 33, 38, 42, and 18.
Which type of graph would be best to use to show the differences among the numbers of direct-report employees?

a bar graph
a circle graph
a histogram
a line graph

Answers

Answer:

Question?

Step-by-step explanation:

?

Bar Graph

Since the values belong to different divisions, it’s best to use the bar graph because you can compare them side by side.

What is the missing number in the synthetic division problem below?

A. 9
B. 8
C. -7
D. 2​

Answers

Your answer :

Your answer is B

1840÷26 is there a remainder​

Answers

Answer:

yes there is a remainder

answer is 70 remainder 20

Answer:

70.77

Step-by-step explanation:

1840 ÷ 26 = 70.77 (aprox)

Two circles are concentric. Two arcs are formed by the same central angle, with arc lengths of 54 and 81 respectively. Which of the following are possible radii for the circles? Select the two correct answers.
23 and 32

12 and 18

32 and 64

40 and 60

14 and 41

Answers

Answer:

i think the answer is 12 and 18

What is the measure of angle AXG

Answers

Answer:

180°

Step-by-step explanation:

it's half of a circle

The angle AXG is a straight line. The measure of a straight line would be 180

The measure is 180

The figure shown is created by joining two rectangles.
(picture will be shown)

enter the area, in the square inches, of the figure

Answers

Answer:

1375 square inches

Step-by-step explanation:

Area= Length × Width

15in×75in=1125in

25in×10in=250in

250in + 1125in= 1375square inches

what is the sum of the first 10 terms of the geometric sequence 1 , -2, 4, -8, 16, 32...​

Answers

Answer:

S10= -341

Step-by-step explanation:

1,-2,4,-8,16,.......

Sum of first 10 terms of geometric sequence

Sn=a(r^n-1)/r-1

where, a= first term

n= number of terms

r=common ratio

common ratio (r)= second term/first term

r=-2/1

r=-2

a=first term

a=1

n= number of terms

n=10

S10=1[(-2)^10-1]/-2-1

S10=(1024-1)/-3

S10=1023/-3

S10= -341

therefore, the sum of the first 10 terms is -342

Three people split the cost of the last two lunch bills. The two bills were $18 and $15. How much did each person contribute?
Group of answer choices

$11

$15

$18

$33

Answers

$11 because you add the 2 and then divide by 3 and 18 plus 15 is 33 and 33 divided by 3 is 11

Given that f(x)=x^3, which equation describes the graph of function g?

a. g(x)=f(x-3)+3
b. g(x)=f(x-3)-3
c. g(x)=f(x+3)+3
d. g(x)=f(x+3)-3​

Answers

Answer:

A or g(x) = f(x − 3) + 3

Step-by-step explanation:

Need some help with this one.

Answers

Answer:

Cylinder A: 3.58 m^3,  cylinder B: 8.72 m^3, cylinder B has the greater volume

Step-by-step explanation:

Volume of a cylinder  [tex]V=\pi r^2h[/tex]  r is the radius, h is the height.

Cylinder A:  The circumference is given,  C = 3.  Circumference is found by the formula [tex]C=2 \pi r[/tex].  Replace C with 3 and solve for r so it can be used in the volume formula.

[tex]3=2\pi r\\3=2(3.14)r\\3=6.28r\\r=3 \div 6.28 \approx .4777[/tex]

Volume:  [tex]V=(3.14)(.4777)^2(5) \approx 3.58[/tex]  cubic meters

Cylinder B:

[tex]C=2\pi r\\5=2(3.14)r\\r=5 \div 6.28 \approx .7962\\\\V=\pi r^2h\\ V=(3.14)(.7962)^2(3) \approx 8.72[/tex]  cubic meters

The ratio of dogs to cats is 7:2. Why is the ratio of dogs to 8 cats?

Answers

Answer:

28

[tex]\frac{7}{2} \\\\\frac{x}{8}[/tex]

[tex]2 * x = 8\\x = 4[/tex]

[tex]7 * 4 = x\\x = 28[/tex]

PLZZ GIVE BRAINLIEST

Factorise: x^2/y^2+1+y^2/X^2​

Answers

Answer:

[tex]( \frac{x}{y} + \frac{y}{x} + 1)( \frac{x}{y} + \frac{y}{x} - 1)[/tex]

Step-by-step explanation:

Hope it is helpful.....

find the area of the figure. just give the answer plz

Answers

Answer:

58.5 feet you're welcome

What is the volume of the cylinder below?

Use 3.14 for pi.

Answers

Answer:

using 3.14 for pi the volume is 502.4

Step-by-step explanation:

Monica has $20. She needs to buy a gallon of milk that costs $2.50. She also wants to buy yogurt, which costs $1.20 a cup. What is the greatest number of cups of yogurt Monica can buy?

Use the inequality 1.20x + 2.5 ≤ 20 to solve the problem.

Monica can buy _____ cups of yogurt.

Answers

14 I hope this helps

Point 4,6 is reflected across line y= X and then dilated by a factor of 1/2 using the origin as the center of dilation. What is the resultant point?

Answers

9514 1404 393

Answer:

  (3, 2)

Step-by-step explanation:

Reflection across y=x swaps the coordinates:

  (x, y) ⇒ (y, x)

Dilation by a factor of 1/2 multiplies each coordinate by 1/2.

  (x, y) ⇒ (x/2, y/2)

The combination of these transformations gives you ...

  (x, y) ⇒ (y/2, x/2)

  (4, 6) ⇒ (3, 2)

thor peeled 14 oranges every 21 hours. at this rate, how many would he peel in 9 hours?

Answers

Answer:

13.5

Step-by-step explanation:

14 oranges in 21 hour translates to:

3/2 oranges per hour.

So, in 9 hours thor can peel 13.5 oranges.

Calculate the area of triangle .

Answers

Answer:

20 units

Step-by-step explanation:

The formula for the area:

A = bh × 1/2

B = 8 units

H = 5 units

8 × 5 = 40

40 × 1/2 = 20

In triangle ABC, angle A and angle B are remote interior angles to an exterior angle that measures 60 degrees. If measure of angle A = 30, what is the measure of angle B?

30

60

90

45

Answers

Answer:

30 Step-by-step explanation:

Answer:

Its 60

Step-by-step explanation:

I took the test

Which one is correct?

Answers

Answer:

D. 6 bags

Step-by-step explanation:

Answer:

The answer is 4 bags

Does this graph below represent a function? (Yes or no)

Answers

Answer:yes

Step-by-step explanation: it represents a function

help geometry please

Answers

Answer:

12

It would be easier to explain if the triangle and the parallelogram have their points named.

Some first hints: The area of a tri

angle equals to 1/2 of height times length of corresponding base side. The area of a parallelogram equals to height times the corresponding base side. in addition, in a parallelogram, two opposing side have the exact same length.

Since then, we can write the area of the triangle as 1/2× h× 18= 9×h

we can write the area of the parallelogram as : 18×h

Since then, we can write the area of the compound as 9×h + 18×h= 27h.

Voila. I gues you can figure out the rest. Please ask more if you have trouble with this

Answer: 12

Step-by-step explanation:



It takes 3 pieces of wood to make a bird house. Marina has 21 pleces of wood. She uses this problem to find out how many bird houses she can
make.
21 +3
Which other problem could Marina use to find the number of bird houses she can make

Answers

She can find out answer by dividing 21÷3 and the answer is 7

She can make 7 bird house

7 is the answer of the question

21÷ 3

=7

Step-by-step explanation:

hope it is helpful to you

sum of two numbers is 5 while the difference of the two numbers is 6 find the two numbers​

Answers

Answer:

Suppose the one number be x

And the other number be 6x

The sum of two numbers is 5

x+6x=5

7x=5

X=5/7

Therefore

One number be 5/7

And other number be 6 * 5/7=30/7

If you are helped with my answer pls tag me brianliest I really want it

THANK YOU...............

Use the quadratic formula to solve for x.
4x²–5x-2 = 0

Answers

The answer is for the formula

i will give Brainiest if you are right

Answers

Answer:

G

Step-by-step explanation:

G. Plug in x=5 to    x-2<7

which becomes

5-2<7

3<7

which is correct.

Hope This Helps!

G if you plug in 5 as x it is the only one that is correct


Someonee can u tell ne​

Answers

Answer:

35

Step-by-step explanation:

i did the sqrt of 1225 and got 35 so there should be 35 rows each with 25 plants

PLEASE HELP I WILL GIVE BRAINLIEST!!!

Answers

wooooooooooooooooooooooooooooooo :>

The manufacturer of running shoes conducted a study on its newly developed jogging shoe. Listed are the type and frequency of the nonconformities and failures found. A Pareto chart to show the major problem areas is given below. (Round your answers to 1 decimal place.) Type of Nonconformity Frequency Type of Nonconformity Frequency Sole separation 36 Lace breakage 13 Heel separation 92 Eyelet failure 8 Sole penetration 60 Other 16

Answers

Answer: Hi your question is poorly structured I believe your question is construct a pareto chart to show the major problem areas

answer : attached below is the pareto chart.

Step-by-step explanation:

      Rearranged table starting from highest frequency

The type of Nonconformity                             Frequency      Percentage

     Heel separation                                               92                   40.89

     sole penetration                                              60                     26.67

       Sole separation                                              36                     16

       Other                                                               16                      7.11

      Lace breakage                                                13                       5.8

     Eyelet failure                                                      8                      3.5

   

Total = 36 + 13 + 92 + 8 + 60 + 16 = 225

Next step : determine the percentages of the various Nonconformity

sole separation = 36 / 225 ) * 100 = 16%

lace breakage = ( 13/225 ) * 100 = 5.8% = 6%

Heel separation = ( 92/225 ) * 100 = 40.89% = 41%

Eyelet Failure = ( 8 /225 ) * 100 = 3.5% = 4%

sole penetration = ( 60 / 225 ) * 100 = 26.67% = 27%

other = ( 16 / 225 ) * 100 = 7.11% = 7%

Next plot the Two columns using excel to show the Pareto chart attached below is a screen shot of the plot

a boy is 20 years old at present. How old was he 3 years ago?​

Answers

Answer: seven-teen

Step-by-step explanation:twenty minus three

The age of the boy three years ago is A = 17 years

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

The present age of the boy = 20 years

Three years ago, the boy's age would have been:

20 - 3 = 17

Hence , the boy was 17 years old three years ago.

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

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