A person invested $5,500 in an account growing at a rate allowing the money to double every 14 years. How long, to the nearest tenth of a year would it take for the value of the account to reach $6,800?

Answers

Answer 1

Answer:

t=4.3

Step-by-step explanation:

y=a(2)^{\frac{t}{d}}

y=a(2)  

d

t

​  

 

 

y=6800\hspace{40px}a=5500\hspace{40px}d=14

y=6800a=5500d=14

d is the doubling time

\text{Plug in:}

Plug in:

6800=

6800=

\,\,5500(2)^{\frac{t}{14}}

5500(2)  

14

t

​  

 

 

\text{Solve for }t\text{:}

Solve for t:

\frac{6800}{5500}=

5500

6800

​  

=

\,\,\frac{5500(2)^{\frac{t}{14}}}{5500}

5500

5500(2)  

14

t

​  

 

 

​  

 

Divide by 5500

1.23636364=

1.23636364=

\,\,2^{\frac{t}{14}}

2  

14

t

​  

 

 

\log(1.23636364)=

log(1.23636364)=

\,\,\log\left(2^{\color{green}{\frac{t}{14}}}\right)

log(2  

14

t

​  

 

)

Take the log of both sides

\log(1.23636364)=

log(1.23636364)=

\,\,\color{green}{\frac{t}{14}}\log(2)

14

t

​  

log(2)

Bring exponent to the front

\frac{\log(1.23636364)}{\log(2)}=

log(2)

log(1.23636364)

​  

=

\,\,\frac{t}{14}

14

t

​  

 

Divide by log(2)

0.30610313=

0.30610313=

\,\,\frac{t}{14}

14

t

​  

 

Divide in calculator

14(0.30610313)=

14(0.30610313)=

 

Multiply by 14

4.285443788=

4.285443788=

\,\,t

t


Related Questions

I need help if you get right I will mark you

Answers

Answer:

20% of his budget

Step-by-step explanation:

1500 - 100% /10

150 - 10 % ×2

300 - 20%

Answer:

20%

Step-by-step explanation:

The % is 300 / 1500 * 100% = 0.2 * 100% = 20%

Select the function that is nonlinear.

a
y = 3x - 4

b
y = 2x3 - 10

c
y = 4x -12

d
y = x + 101

Answers

B
Because all of the other equations are in the linear format of y=mx+b while B has the extra 3 added on to it.
Hope this helps!!

Answer:

B

Step-by-step explanation:

A C and D are all linear. The powers on x in all three questions is 1. For example the first answer could be written as y = 3x^1 - 4. C and D are much the same.

So if you are thinking that B must be the answer, you would be right. x is raised to the third power --  or I think that is what is intended. y = x^3 - 10

10) Triangle GHK has an area of 273cm². Write and solve an equation to find the height, h, of triangle GHK
base is 26 cm

Answers

Answer:

21cm

Step-by-step explanation:

A=(b*h) /2-->h=(2*A)/b-->

h=(2*273)/26-->

h=21 cm

Please hurry and solve for 40 points

Answers

Answer:

x=3 y=-2

Step-by-step explanation:

Elimination would bring the equation to

3x=18

18/6 is 3

6-3y=12

-3y=6

y=-2

How many almonds in the cup? (1/4 cup) Help me​

Answers

Answer:

The amount of almonds in the fourth cup are 40

Pls answer I got 15 points and omg pls be correct

Answers

Answer:

$119.79

Step-by-step explanation:

Formula:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

Given:

P = 90

r = 0.1

t = 3

n = 1

Work:

[tex]A=P(1+\frac{r}{n} )^{nt}\\\\A=90(1+\frac{0.1}{1} })^{3*1}\\\\A=90(1.1)^3\\A=90(1.331)\\A=119.79[/tex]

The giant outlier is Palm Beach county. We can see that it lies well beyond the range of votes this regression model would predict for Buchanan, based on the observed linear trend between total votes and votes for Buchanan across all the other counties. Calculate the residual for Palm Beach county to determine just how much larger Buchanan's vote total was compared to what we'd predict based on the election results from the other counties.

Answers

Answer:

Hello your has some missing information attached below is the missing information

answer : 2355.62

Step-by-step explanation:

Calculating the residual for Palm Beach county

Given that total votes = 430772

and The regression equation = 56.115131 + 0.0023197 * Total Votes

The predicted Buchanan = 56.115131 + 0.0023197 * 430772 = 1055.377

while the Actual Votes Buchannan = 3411

Residual for Palm Beach county = Actual votes Buchannan - Predicted

                                                      = 3411 - 1055.377 = 2355.62

Note :

b0: 56.1132

b1: 0.0023

R2: 0.4593

The statistic that tests H0: ß1= 0: 7.43

what is the point in mulitplucation

Answers

Answer:

its good for life and career choices

Step-by-step explanation:

Multiply the numbers just as if they were whole numbers.

Line up the numbers on the right - do not align the decimal points.

Starting on the right, multiply each digit in the top number by each digit in the bottom number, just as with whole numbers.

Add the products.

Please explain how you got the answer!

Answers

Answer:

16

Step-by-step explanation:

1250/ 80 = 125/8 ≈ 15.6 rounds up to 16

Pls help I’ll mark brainliest

Answers

Answer:

Answer:

Step-by-step explanation:

Step-by-step explanation:

Answer:

Answer:

Step-by-step explanation:

Step-by-step explanation:

Answer:

Answer:

Step-by-step explanation:

Step-by-step explanation:

Answer:

Answer:

Step-by-step explanation:

Step-by-step explanation:

m(x) = -3x + -2
Find m(-4)

Answers

m(-4)=-3•-4-2
m(-4)=10

Answer:

3x +2 =5

and m(x) was x=5 ,= m= -4

Can some help me please thx

Answers

Answer:

Look below

Step-by-step explanation:

https://www.calculatorsoup.com/calculators/math/fractions.php

I PROMISE THIS IS NOT A SKETCHY LINK IT TAKES YOU TO A FRACTION CALCULATOR

Steve sold 36fruit baskets for a school fundraiser. Edie sold 25% of the number of baskets that Steve sold

Answers

Answer:

Edie sold 9 fruit baskets

Step-by-step explanation:

The sum of all digits of some number is 210. The number is always divisible by:
A. 3
B. 2
C. 5
D. 9
E. 10
Please show work and I will mark brainlist.

Answers

Answer:

2

Step-by-step explanation:

so so that you could get both halves, we had to divide by two then I got 105 +105 meaning 210 could be divided by 2

I solved this quadratic using the square root property. I did it 2 ways but I am not sure which one is correct.

Answers

Answer:

it's your second answer: )

Answer:

the one on the right

Step-by-step explanation:

:) s s

an artist is painting a mural on a wall to make sure that the picture is painted accurately to her vision she creates a grid for the wall with each unit measuring a meter in the mural at the second event at 2 to and the event at -2 for the artist plans to fail in the Triangular space between the three events with colored pattern what is the area of the space?​

Answers

5657565 ok ok ok ok ok ok

fill in the blanks with the correct missing term of each given sequence
8,11,_,17,20​

Answers

Answer:

14 i think

Step-by-step explanation:

im not that sure but yeah

14 BECAUSE adding by 3

The New York Times and CBS News conducted a nationwide poll of 1048 randomly selected 13- to 17-year-olds. We can consider the sample to be a SRS.
a. Of these 1048 teenagers, 692 had a television in their room. Give a 95% confidence interval for the proportion of all people in this age group who had a TV in their room at the time of the poll
b. Of the 1048 teens surveyed, 189 named Fox as their favorite television network. Give a 90% confidence interval for the proportion of all people in this age group who would choose Fox as their favorite network.
c. Suppose you were to change the confidence level in (b) to 95% using the same sample. How would the confidence interval change? No calculations necessary.
a. The confidence interval would be the same width but shifted to the left
b. The confidence interval would be the same width but shifted to the right
c. The confidence interval would have the same center but be wider
d. The confidence interval would have the same center but be narrower

Answers

I’m sorry can u explain better pls?? Thanks that’s will help so much!!

what is the slope of the following equation y = -1/2x + 4​

Answers

Answer:

the slope is -1/2

Step-by-step explanation:

Karen invested $2,000 in a special savings account.
The balance of this special savings account will double
every 5 years. Assuming that Karen makes no other
deposits and no withdrawals, what will be the balance
of Karen's investment at the end of 40 years?
A. $ 80,000
B. $ 256,000
C. $ 400,000
D. $ 512,000
E. $1,024,000

Answers

Answer:

D. $512,000

Step-by-step explanation:

Well if the balance doubles every 5 years, then dividing 40 by 5 gives us the number of times the money will double, which is 8. We can then turn this into the equation [tex]2000(2^{8})[/tex]. [tex]2^8[/tex] can be simplified to 256. Multiply that by 2000 and we get our answer, 512000. Hope this helps!

Pls mark brainliest!

Please help will give brainliest answer

Answers

Answer:

Both of them, since if you simply their factorizations you will get 45y^6

Which is equivalent to the series shown?
12
Which expansion is equivalent to the summation
shown?
12
12
20 Σ
1
n=9 n=9
n +
n=9
X
1 1 1 1
20+9+10+11+12+
9 10 11 12
-
Σ (20n +
+
Ź 201n+ )
20
n
n-9
x
1
1
-
1
11
1
12
20(9 + 10 +11+12) +.
9 10
2019 +10 +1
X
1 1 1
20 9+10 +11+12+
9 10 11 12
n +
n-9
12 12
1
12 + 20
n
n=9 n-9
12 12
1
n+
n-9 n=9n
1 1 1
9+10+11+12+ 20
9 10 11 12
20Σ
COMPLETE
Na
Intro
Final

Answers

Answer:

first one is (d) second one is (b)

Step-by-step explanation:

Find the surface area of the cylinder. ROUND YOUR ANSWER TO THE NEAREST TENTH. PLEASE I NEED HELP also if anyone can I need the steps:(

Answers

Answer:

Area = 87.96

Step-by-step explanation:

87.96 square mm, using 3.14 as pi

For surface area of a cylinder:
A = 2(pi)(radius)(height) + 2(pi)(radius squared)


For the first half of that equation:
2(pi)(radius)(height)
2(3.14)(2)(5)
= 62.8

Now the second half of that equation, the area of the circle ends:
2(pi)(radius squared)
= 2(3.14)(2)(2)
= 25.12

Add them up:
62.8 + 25.12 = 87.92


1
6
Drew uses container of
carpet freshener to
vacuum of his house.
If his entire house is
carpeted, at this rate,
what fraction of the
container of carpet
freshener will Drew use
to vacuum his entire
house?

Answers

Drew a lot and I’m just trying not a good thing for you and you don’t want me back in my life I’m just gonna be ok with me that I’m just trying not really mean you don’t have a problem I just want you know I’m 30$ 50$

pls help and explain why and i’ll give brainly

Answers

Answer:

No.

Step-by-step explanation:

The x values (inputs) are used multiple times (the 4 has 2 arrows coming out of it). Only y values can be repeated, but not X values.

If this truly helps you, help me out too, and thank me.

-Xax

Answer:

No

Step-by-step explanation:

A function gives only one output per input, which means an x value can only give one y value. Assuming the right side is f(x) and the left is x:

-4 points to both 12 and 15 which isn't possible for a function

The ratio of boys to girls is 1:1.
If there are 250 boys, how many
girls are there?​

Answers

The answer would be: 250 girls

Answer:

250 girls

Step-by-step explanation:

Boys = Girls

250 = Girls

Tutoring Question Help
A person is taking a 5-question multiple-choice test for which each question has three answer choices, only one of which is correct. The person decides on answers by
rolling a fair die and marking the first answer choice if the die shows 1 or 2 the second if it shows 3 or 4, and the third if it shows 5 or 6. Find the probability that the
person gets fewer than 3 correct answers.
The probability that the person gets fewer than 3 correct answers is
(Round to three decimal places as needed.)

Answers

Hello yeah I’m not sure

A certain test preparation course is designed to help students improve their scores on the USMLE exam. A mock exam is given at the beginning and end of the course to determine the effectiveness of the course. The following measurements are the net change in 3 students' scores on the exam after completing the course:
15,20,18
Using these data, construct a 90% confidence interval for the average net change in a student's score after completing the course. Assume the population is approximately normal.

Answers

Answer:

The 90% confidence interval for the average net change in a student's score after completing the course is (13.42, 21.92).

Step-by-step explanation:

Average change in the sample:

[tex]M_{s} = \frac{15+20+18}{3} = 17.67[/tex]

Standard deviation of the sample:

[tex]s = \sqrt{\frac{(15-17.67)^2+(20-17.67)^2+(18-17.67)^2}{2}} = 2.52[/tex]

We have the standard deviation for the sample, so the t distribution is used.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 3 - 1 = 2

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 2 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 2.92

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.92\frac{2.52}{\sqrt{3}} = 4.25[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 17.67 - 4.25 = 13.42

The upper end of the interval is the sample mean added to M. So it is 17.67 + 4.25 = 21.92

The 90% confidence interval for the average net change in a student's score after completing the course is (13.42, 21.92).

Jeremy has a stand in the farmer's market where he sells strawberries by the pound. The table shows the weights of the strawberries and the prices per quantity. The relationship between the amount of strawberries in pounds and the price is a proportional relationship.

Which statement is true?

A.)The table does not represent a proportional relationship because the differences between consecutive terms in each column do not have the same ratio.
B.)The table does not represent a proportional relationship because the ratio between the price column and the weight column is not the same for each row.
C.)The table represents a proportional relationship because the differences between consecutive terms in each column have the same ratio.
D.)The table represents a proportional relationship because the ratio between the price column and the weight column is the same for each row.

Answers

c because it’s proportional


a. 5
b. 7
c. 9
d. 11

PLEASE HELPPP I WILL GIVE BRILLIANT!!!

Answers

Answer:

B : 7

Step-by-step explanation:

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