An investment of $8500 increases in value by 4.5% every year. How long until the investment
reaches about $17,323. Round to the nearest whole year

Answers

Answer 1

Answer:

At an interest rate of 4.5% compounded annually, it will take 16.17 years to reach $17,323.-

Step-by-step explanation:

Giving the following information:

Present Value (PV)= $8,500

Future value (FV)= $17,323

Interest rate (i)= 4.5%

To calculate the time required for the investment to reach the objective, we need to use the following formula:

n= ln(FV/PV) / ln(1+i)  

n= ln(17,323/8,500) / ln(1.045)

n= 16.17 years

At an interest rate of 4.5% compounded annually, it will take 16.17 years to reach $17,323.-


Related Questions

I NEED HELP ASAP!!!!! I WILL GIVE LOTS OF POINTS

Answers

Answer:

1) -⅓

2) -6

3) infinite

4) 4

Step-by-step explanation:

slope = y/x

1) -1/3 = -⅓

2) -6/1 = -6

3) 1/0 = infinite

4) 4/1 = 4

Answer:

1:

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

slope=(y2-y1)/(x2-x1)=(-2+1)/(3-0)=-⅓

2.

(0,2)&(1,-4)

d

slope=(-4-2)/(1-0)=-6

3.

(-3,-3)&(-3,-4)

slope=(-4+3)/(-3+3)=infinite

4.

(-1,2)&(2,-2)

slope=(-2-2)/(2+1)=-4/3

Express cos K as a fraction in simplest terms

Answers

Answer:

Step-by-step explanation:

You don't need to solve for IJ so don't.

Cos(J) = adjacent / hypotenuse

adjacent = 5

hypotenuse = 23

Cos(J) = 5/23

If I had 36 apples what is the percentage of 20

Answers

Answer:

20 apples is 55.55% of 36 apples.

Step-by-step explanation:

Given that I had 36 apples, to determine what is the percentage of 20 of them, the following calculation must be performed:

36 = 100

20 = X

(20 x 100) / 36 = X

2000/36 = X

55.55 = X

Therefore, 20 apples is 55.55% of 36 apples.

Kindly solve ½=4/?, What's going to be the answer? Thank you

Answers

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

1/2 = 4/8

Sarah's vegetable soup recipe uses 2
cups of vegetables to make one pot of soup. She wants to triple the recipe.
How many cups of vegetables does she need?

Answers

Answer:

No.of cups for one soup : 2 cups

No.of cup for 3 soups: 2×3

=6

So , 6 cups of vegetable

HOPE IT HELPS U :)

What is the area of a rectangle that is 3 1/3 yards on one side and 7 2/3 yards long on the other side?

Answers

Answer:

The answer is A=2/9 yards²

Step-by-step explanation:

The formula for a rectangle  is A=B x H  

So the equation is A= 1/3 yards x 2/3 yards  

I suppose this is right.

at food mart, hot dogs can be purchased in packages of 8 for $2.40 or packages of 12 for $3.00. which is a better buy? explain how you know HELP

Answers

Answer:

12-hot dog package is better buy because the per hot dog price is 5 cents cheaper

Step-by-step explanation:

2.40/8 = 0.30 per hot dog

3.00/12 = 0.25 per hot dog (this is the better buy by $.05)

Answer:

12-hot dog package  per hot dog price is 5 cents cheaper

Step-by-step explanation:

= 2.40/8 = 0.30 per hot dog

= 3.00/12 = 0.25 per hot dog (this is the better buy by $.05)

Hope this answer helps you :)

Have a great day

Mark brainliest

What is the measure, in degrees, of angle b?

Answers

The top angle is the same as the bottom angle, since they are vertically opposite angles.

b+20=40

b=40-20

b=20

It is also 20 degrees.

Answer:

Step-by-step explanation:

angle b+20 degree=40 degree(being vertically oppoite angles)

angle b=40-20

angle b=20

therefore angle b=20 degree.

Can someone help with this problem please.

Answers

x = 19 yards = 57 feet
The ball is 57 feet from the hole.

Explanation:
The distance from the tee to the hole is 181 yards.

Using the Pythagoras Theorem,
x^2 + 180^2 = 181^2
x^2 + 32400 = 32761
x^2 = 361
x = sqrt(361)
x = 19 yards

1 yard = 3 feet
x = 19 yards = 57 feet

find the radian measure of the angle 55°​

Answers

Answer:

[tex]55 degree= \frac{\pi }{180}\times55=\frac{11\pi }{36} =0.9599 radians[/tex]

Step-by-step explanation:

[tex]180 degree= \pi radian\\1 degree= \frac{\pi }{180}\\55 degree= \frac{\pi }{180}\times55=\frac{11\pi }{36} =0.9599 radians[/tex]

10x10x10x10x10x10x10 in word form

Answers

Answer:

10,000,000

Step-by-step explanation:

ten million

Answer:

10 times 10 or ten times ten or ten to the power of seven ( only for expontants )

Step-by-step explanation:

hope it helps :)

Listed below are amounts of arsenic in samples of brown rice from three different states. The amounts are in micrograms of arsenic and all samples have the same serving size. The data are from the Food and Drug Administration. Use a 0.05 significance level to test the claim that the three samples are from populations with the same mean. Assume that the distributions for each state are normal and that all variances are equal.

Arkansas 4.8 4.9 5.0 5.4 5.4 5.4 5.6 5.6 5.6 5.9 6.0 6.1
California. 1.5 3.7 4.0 4.5 4.9 5.1 5.3 5.4 5.4 5.5 5.6 5.6
Texas. 5.6 5.8 6.6 6.9. 6.9 6.9 7.1 7.3 7.5 7.6 7.7 7.7

Answers

Answer:

Texas Texas Texas is I think right

No, the claim that the three samples are from populations with the same mean is not correct and this can be determined by using the given data.

Given :

The amounts are in micrograms of arsenic and all samples have the same serving size. The data are from the Food and Drug Administration. Use a 0.05 significance level.

The Hypothesis test is given below:

Null Hypothesis: [tex]H_0:\mu_1=\mu_2=\mu_3[/tex]

Alternative Hypothesis: [tex]H_a:\mu_1\neq \mu_2\neq \mu_3[/tex]

For the F-test, the test statistics is given by:

[tex]F = \dfrac{MS_{\rm{between}}}{MS_{\rm{within}}}[/tex]

Now, substitute the values of known terms in the above expression.

[tex]F = \dfrac{15.8252}{0.6896}[/tex]

[tex]F = 22.95[/tex]

So, the p-value regarding the value of F is:

[tex]P-value=P(F>22.95)[/tex]

[tex]P-value = 1.0.9999[/tex]

[tex]P-value = 0.0001[/tex]

The Null Hypothesis is rejected because P-value is less than the significance value.

For more information, refer to the link given below:

https://brainly.com/question/10758924


A caterpillar eats through 2/3 leaves for every 4/5 minutes. What is the unit ratio for leaves eaten through to minutes?

Answers

Answer:

1 1/5

Step-by-step explanation:

Use the graph to find the approximate solutions to the question.

Answers

It would be D: X is -2 or 3

solve and explain your reasoning (x+3)=-6​

Answers

Answer:

(x+3)=-6

x=-6-3

x=-9

Step-by-step explanation:

Hope it helps!

When side changes positive changes into negative.

What is the range of possible sizes for side x?

Answers

Answer:

x = 3.96

Step-by-step explanation:

To find the missing side length you'll need the formula a^2 + b^2 = c^2

a and b would be the shorter ends, 2.8 and 2.8

c would be the longer end that's opposite the right angle.

so substitute values

2.8^2 + 2.8^2 = c^2

7.84 + 7.84 = c^2

15.68 = c^2

√15.68 = √c^2

3.959797 = c

c = 3.96

side c would be side x so x is 3.96

. If you roll two dice, what is the probability of rolling a not rolling a
double with a sum greater than 7? Give answer as a fraction in simplest
form. *

Answers

With two dice, you can get sums of between 2 and 12,

B Reading Choose the best estimate for the multiplication problem below. 85 x 86
A. 8100
B. 10,400
C. 12,200​

Answers

Answer:

A. 8100

Step-by-step explanation:

85 x 86

To estimate, we multiply 85*100, which is the easiest multiplication, as a multiplication by 100 is the same as placing two zeros at the end of the number.

85*100 = 8500

Since 86 < 100, 85*86 < 8500. Thus, the correct estimate is given by option A.

Suppose that you are interested in the relationship between the return rate on a stock in 2010 compared to the return rate in 2009.-You believe that the return rates in both years are positively correlated. A sample of 15 stocks'yields the following regression results: b0=5.3, b1= 1.04, sb= 1.79, and MSE = 35.4. 1:79, sb= 0.2163, R2 = 0.64
i. How would you explain the slope coefficient b1?
ii. What is the least squares regression line?
iii. What is the predicted value of y when x = 5
iv. Calculate the error sum of squares.
v. Calculate the total sum of squares.
vi. Calculate the regression sum of squares.
vii. Prepare the analysis of variance table for regression.

Answers

Step-by-step explanation:

1. we have b1 = 1.04 which is positive. we say that the return I. 2009 is positively correlated with the return in 2010.

2. Y = b0 + b1X

Y = 5.3 + 1.04X

3. If x = 5

Y = 5.3 + 1.04(5)

Y = 10.5

4. SSE = mse x (n-2)

n = 15, mse = 35.4

SSE = 35.4 x(15-2)

= 35.4 x 13

= 460.2

5. We are to find SST here

R² = SSR/ SSR + SSE

R² = 0.64

SSE = 460.2

0.64 = SSR/SSR+460.2

Cross multiply

0.64(SSR + 460.2) = SSR

0.64ssr + 294.528 = SSR

Collect like terms

294.528 = SSR - 0.64SSR

294.528 = 0.36SSR

SSR = 294.528/0.36

SSR = 818.13

SST = SSR + SSE

= 818.13 + 460.2

= 1276.53

6. The SSR has been calculated to be 818.13

I need help answering this question I will give Brainlyiest to any one

Answers

Answer:

It is 21

Step-by-step explanation:

I took the test

Answer:

x = 147°

Step-by-step explanation:

x = 180° - 33°

x= 147 °

Terry finished cooking at 7:36 p.m. She cooked for 2 hours and 40 minutes. What time did she start cooking?​

Answers

Answer:

2:56 pm

Step-by-step explanation:

end time: 7:36 pm

Borrow one hour from the hours and add it as 60 minutes to the minutes.

7:36 pm = 6:96 pm

Now subtract 2:40 from 6:96.

Subtract 2 from 7 and subtract 40 from 96.

7:36 pm - 2:40 = 6:96 pm - 2:40 = 2:56 pm

Answer: 2:56 pm

Are M, N, and O collinear? If so, name the line on which they lie.

Answers

Answer:

Yes, they lie on the line NP

Answer:

they lie in the line MO

Step-by-step explanation:

What is the distance between (-9, -6) and (-2,-2)?
Choose 1 answer:

I NEED HELP I DONT UNDERSTAND!!

Answers

Answer:

Step-by-step explanation:

there is a formula for finding distance,

distance = sqrt [ ( x2-x1)^2 + (y2-y1)^2 ]

where point P1 = (-9.-6)  

    in the form of (x1,y1)

and point P2 = (-2,-2)  

 in the form of (x2,y2)

then

distance = sqrt [ (-2-(-9))^2 + (-2-(-6))^2 ]

distance = sqrt [ (-2+9)^2 + (-2+6)^2 ]

distance = sqrt [  [tex]7^{2}[/tex] + [tex]4^{2}[/tex] ]

distance = [tex]\sqrt{65}[/tex]

you can leave it in the form of  [tex]\sqrt{65}[/tex] because that's the most accurate , but also can make a close approximation with  8.062257748

That's all the places my calculators goes out to, the numbers continue thou.

Helppppp meeeeeeee plsssssssss

Answers

Answer:

X4

Step-by-step explanation:


Chau rented a truck for one day. There was a base fee of $18.95, and there was an additional charge of 95 cents for each mile driven. Chau had to pay $198.50
when he returned the truck. For how many miles did he drive the truck?

Answers

Let's say John drove 2 miles. He had to pay the base fee of $18.99 and $.75(2) = $1.50, so he paid $20.49 total.

We are given his total, though, and asked to find the mileage.

18.99 + .75m = 199.74

-18.99 -18.99

.75m = 180.75

.75 .75

m = 241

So, John drove 241 miles.

Hope this helps!

I

PLEASE HELP

A bag hes 10 red marbles, 3 green marbles,
7 yelow marbles, and 5 blue merbles. What is
the probability of crowing a red marble and
then g, blue, marble without replacing the first?

Answers

Answer:

[tex]\frac{3}{5}[/tex]

Step-by-step explanation:

Probability is the chance of an event happening. One finds the probability of an event by using the following general formula,

[tex]\frac{desired}{total}[/tex]

In this case, the desired outcome is pulling whether a red or blue marble from the bag, the desired equals the sum of the number of red and blue marbles.

(red) + (blue)

= 10 + 5

= 15

The total number of marbles is the sum of all the number of marbles in the bag.

(red) + green)  + (yellow) + (blue)

= 10 + 3 + 7 + 5

= 25

Now substitute these values into the formula to find the probability, then simplify,

[tex]\frac{15}{25}[/tex]

Divide both the numerator and denominator by (5),

[tex]\frac{3}{5}[/tex]

Find the value of x. Show your work.

WILL GIVE BRAINLIEST!!!!!

Answers

The answer is 54
Because When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles. And it say that that angle equals 32 so just do 32-90 you get 58 but it says 6x plus 4 then you do 58-4 you get 54

What is the y-intercept of the line given by the equation y=5x+16 ?

Answers

Answer:

16

Step-by-step explanation:

Slope intercept form is

y = mx + b

m is the slope

b is the y-intercept

-----------------------

y = 5x + 16

is in slope intercept form

b, the y-intercept is 16

which is point (0, 16)

HELLOOOOOOOOOOOOOO WASUPPPPPPP

Answers

hii........

nothing just studying

hi how are you doing?

How to play tennis is a topic that would be considered
too narrow
too broad

Answers

Answer:

I  would say too broad.

Step-by-step explanation:

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