If you invest $1,200 into an account with an interest rate of 8%, compounded monthly, about how long would it take for the account to be worth $12,000?

Answers

Answer 1

Answer:

n= 346.37 months

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $1,200

Number of periods (n)= ?

Interest rate (i)= 0.08 / 12= 0.00667

Future Value (FV)= $12,000

To calculate the number of months required to reach the objective, we need to use the following formula:

n= ln(FV/PV) / ln(1+i)  

n= ln(12,000 / 1,200) / ln(1.00667)

n= 346.37 months

In years:

346.37/12= 28.86 years


Related Questions

. Es una característica numérica de la población, para su cálculo se emplean formulas y generalmente se indican con letras griegas. A) Estadístico o Valor Estadístico B) Parámetro C) Dato Continuo D) Dato Cuantitativo

Answers

Answer:

B) Parameter

Step-by-step explanation:

To find  - It is a numerical characteristic of the population, formulas are used for its calculation and are generally indicated with Greek letters. A) Statistical or Statistical Value B) Parameter C) Continuous Data D) Quantitative Data

Answer -

The correct option is - B) Parameter

Reason -

In statistics, A parameter is a numerical characteristic of a population, as distinct from a statistic of a sample.

A researcher wished to compare the effect of two stepping heights (low and high) on heart rate in a step-aerobics workout. A collection of 50 adult volunteers was randomly divided into two groups of 25 subjects each. Group 1 did a standard step-aerobics workout at the low height. The mean heart rate at the end of the workout for the subjects in Group 1 was = 90.00 beats per minute with a standard deviation of = 9 beats per minute. Group 2 did the same workout but at the high step height. The mean heart rate at the end of the workout for the subjects in Group 2 was = 95.08 beats per minute with a standard deviation of = 12 beats per minute. Assume that two groups are independent and the data are approximately Normal. Let and represent the mean heart rates we would observe for the entire population represented by the volunteers, if all members of this population did the workout using the low or high step height, respectively. Suppose the researcher had wished to test the hypotheses and . The P-value for the test is (use conservative value for the degrees of freedom)

Answers

Answer:

The answer is "between 0.10 and 0.05".

Step-by-step explanation:

For sample 1:

[tex]n_1 = 25\\\\\bar{x_1} = 90.00\\\\ s_1 = 9\\\\[/tex]

For sample 2:

[tex]n_2 = 25\\\\ \bar{x_2} = 95.08\\\\ S_2 = 12\\\\[/tex]

Calculating the null and alternative hypotheses:

[tex]H_O : \mu_1 = \mu_2 \\\\ H_Q : \mu_1 <\mu_2[/tex]  

Calculating the test statistic:

[tex]Z= \frac{90-95.08}{ \sqrt{\frac{9^2}{25}+\frac{12^2}{25}}} \\\\ =\frac{-5.08}{ \sqrt{\frac{81}{25}+\frac{144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{81+144}{25}}}\\\\=\frac{-5.08}{ \sqrt{\frac{225}{25}}}\\\\=\frac{-5.08}{ \frac{15}{5}}\\\\=\frac{-5.08}{3}\\\\= -1.693[/tex]

Calculating the conservative degrees of freedom:

[tex]DF = min (n_1 -1, n_2 - 1) = min(25-1, 25-1) = 24[/tex]

by using Excel the p-value for left tailed test and for test statistic will be [tex]-1.693[/tex] with [tex]DF = 24[/tex].

[tex]\to p-value = TDIST(1.693, 24, 1) = 0.0517\ \ \ \ i.e, \bold{0.05 < p-value < 0.10}[/tex]

Triangle ABC is similar to DEF. Which proportion can be used to find the length of DE in centimeters?

Answers

Answer:

[tex]\frac{DE}{4} = \frac{9}{3}[/tex]

[tex]DE = 12[/tex]

Step-by-step explanation:

Given

See attachment for triangles ABC and DEF

Required

The proportion to find DE

To solve for DE, we can make use of the following equivalent ratios;

[tex]AB:DE = BC:EF[/tex]

Substitute values for AB, BC and EF

[tex]4:DE = 3:9[/tex]

Express as fractions

[tex]\frac{DE}{4} = \frac{9}{3}[/tex]

The above is the proportion to solve for DE

Solving further:

[tex]\frac{DE}{4} = 3[/tex]

[tex]DE = 4 * 3[/tex]

[tex]DE = 12[/tex]

Please hurry and answer! Will mark brainliest!!!

Answers

Answer:

y = 2x + 3

Step-by-step explanation:

We need to find m and b

Let's input the first 2 points (3, 9) and (5, 13) into y = mx + b

9 = m*3 + b

13 = m*5 + b

subtract the first from the second

13 - 9 = m*5 + b - (m*3 + b)

4 = m*2

m = 2

Now let's input m = 2 into 9 = m*3 + b

9 = 2*3 + b

9 = 6 + b

3 = b

So the final relationship is y = 2x + 3

We can verify that the other two points (8, 19) and (11, 25) also conform to this relationship.

Aaaa I had problems with this too, the answer is y = 2x + 3

HELP HELP ASAP ASAP WILL MARK BRAINLIEST
PLEASE EASY POINTS

Answers

Answer:

Step-by-step explanation:

you need more information to be able to answer the question. Is there any other information they gave you?

i think you are right maybe but this is helpful sorry!

i need step by step answers

Convert the equation to Standard Form.



y=2(x+1)^(2) −4

Answers

Answer:

(-8x2-16x-8)

Step-by-step explanation:

y= (2x + 2)^2 (2 - 4)

y= (2x + 2)(2x + 2)(2 - 4)

y= −82−16−8

2 + 1.25f = 10 - 2.75f

Answers

Answer:

F=2

Step-by-step explanation:

1.25f+2.75f=10-2

calculate like terms

4f=8

divide

F=2

ANYONE IM RUNNING OUT OF TIME!!!!!

Answers

Answer:

Y= -5/2x+3

Step-by-step explanation:

A perpendicular slope is always opposite (meaning if the original is negative, then it is positive and vice versa) and reciprocal (meaning the numerator and denominator of the original are flipped).

The y intercept I found by applying the slope to the point given.

Perpendicular lines have opposite reciprocal lines.

y = mx + b
the m represents the slope
the opposite reciprocal of 2/5 is -5/2
y = -5/2x + b
to solve the rest of the problem, you will need to plug in your x and y coordinates.
-2 = -5/2(2) + b
-2 = -10/2 + b
-2 = -5 + b
Add 5 to both sides.
b = 3

This means your equation is...
y = -5/2x + 3

Solve the equation. 12x+3=51

Answers

[tex]12x + 3 = 51 \\ 12x = 48 \\ x = 4[/tex]

Answer:

= 4

Step-by-step explanation:

1 2 + 3 = 5 1

1 2 + 3 -3 = 5 1 − 3

i hope this helps<3

:)

1/8 plus 1/4 equals.

Answers

Answer:

3/8

Step-by-step explanation

Please just use a calculator

Answer:

0.375

Step-by-step explanation:

Please help with question please please

Answers

Answer:

B. 55+70<750

Step-by-step explanation:

solve for X
7x=49 (brainliest)

Answers

Answer:

7

Step-by-step explanation:

divide 7 to both side

7x/7=49/7

x=7

sam deposits 10000 into a savings account that earns 4.25% interest compounded annually. What will be the total amount in the account

Answers

Answer:

With the compound interest calculator, you can accurately predict how profitable ... The total compound interest is $3,926.8. ... Note that in the case where you make a deposit into a bank (e.g., put money in your savings account), you have, ... You invest $10,000 for 10 years at the annual interest rate of 5%.

Step-by-step explanation:

Use the distance formula to find the distance between each pair of points. round to the nearest tenth of neccessary.

Answers

Answer:

1). 4.2    2). 7.65    3). 14.14

Step-by-step explanation:

1). √(y2 - y1)² + (x2 - x1)²

√[-1 - (-4)]² + [-3 - (-6)]²

√(3)² + (3)²

√9 + 9

√18

= 4.2

2). √(2.5 - 1)² + ( -4 - 3.5)²

√(1.5)² + (-7.5)²

√(2.25) + (56.25)

√58.5

= 7.65

3).√(5 - (-5)² + (-5-5)²

√(10)² + (-10)²

√(100) + (100)

√200

= 14.14

What is the value of the flowers?

Answers

Answer:

24

Step-by-step explanation:

6*6=36

6+10=16

2*10=20

Flower=10-6+20=24

When the product of 6 and the square of a number is increased by 5 times the number, the result is 4. Select all of the values that the number could be.

Answers

Answer:

(1/2,0) is one solution

(-4/3,0) is the other solution.

Step-by-step explanation:

i hope this helps you it might not be right

i will mark brainliest if you’re correct!!!

The amount of fence Farmer Thomas needs around her vegetable garden can be modeled by the formula:

V = 8w + 3l
where V = the perimeter of the vegetable garden; w = the width; l = the length

Which formula best represents l in terms of w and V ?


A- l=v-8w-3
B- l=3v-8w
C- l=v-8w/3
D- l=v-8w+3

Answers

V = 8w + 3l
V-8w/3 = l
Answer is C.

What is the surface area of the rectangular pyramid

Answers

Answer:

88.8 cm square

Step-by-step explanation:

On one day a pet store sells 2 birds 6 gerbils 3 fish and 3 hamsters whats the data and relative frequency as a percent?

Answers

Answer:

Birds [tex]F_b=14.3\%[/tex]

Gerbils [tex]F_g=42.9\%[/tex]

Fish [tex]F_f=21.4\%[/tex]

Hamsters [tex]F_h=21.4\%[/tex]

Step-by-step explanation:

From the question we are told that:

Sales

Number of birds  [tex]n_b=2[/tex]

Number of gerbils  [tex]n_g=6[/tex]

Number of fish  [tex]n_f=3[/tex]

Number of hamsters  [tex]n_h=3[/tex]  

Generally the frequency for birds [tex]F_b[/tex] is mathematically given b

[tex]F_b=\frac{n_b}{n}*100[/tex]

[tex]F_b=\frac{2}{14}*100[/tex]

[tex]F_b=14.3\%[/tex]

Generally the frequency for Gerbils [tex]F_g[/tex] is mathematically given b

[tex]F_g=\frac{n_g}{n}*100[/tex]

[tex]F_g=\frac{6}{14}*100[/tex]

[tex]F_g=42.9\%[/tex]

Generally the frequency for fish [tex]F_f[/tex] is mathematically given b

[tex]F_f=\frac{n_f}{n}*100[/tex]

[tex]F_f=\frac{3}{14}*100[/tex]

[tex]F_f=21.4\%[/tex]

Generally the frequency for fish [tex]F_h[/tex] is mathematically given b

[tex]F_h=\frac{n_h}{n}*100[/tex]

[tex]F_h=\frac{3}{14}*100[/tex]

[tex]F_h=21.4\%[/tex]

(7a-1)^2 please help me quickly

Answers

Answer:

14a-2

Step-by-step explanation:

why is the petrol price cheaper at coastal than inland

Answers

Answer: If a litre of fuel at the coast (95 octane) costs R13,89, then 38% is tax. The difference between inland and coastal fuel prices is mainly due to transport costs of the fuel from depots at the coat to inland outlets.

The petrol price is cheaper at coastal than inland due to the cost of transporting the petrol to inland. Deposits are found along the coast, so the price to transport the petrol is much cheaper than having to transport it all the way from the coast to inland. Therefore, transportation costs are the cause of petrol prices being cheaper at the coast than it is inland.

Which of these is a trinomial?
A. 2x^3 – 7y^3
В. 5xy
C. 2x - 7
D. x + 2y^2-7​

Answers

Answer:

D. x + 2y² - 7

Step-by-step explanation:

it because it has 3 terms

Solve 24=3r4. The solution is r=
what is the answer for this?
i tried 2 and it says wrong

Answers

Answer:

r=1.681793,−1.681793

Step-by-step explanation:

Solve for x.
A) 4
C) 1
B) 10
D) 12

Answers

Answer:

A) 4

Step-by-step explanation:

3*4 = 12

1+12=13

Molly earns $6 for each hour she babysits plus $10 to cover any personal
expenses. Suzie earns $4 for each hour she babysits plus $24 to cover
personal expenses. At a certain point, Molly and Suzie will work the same
number of hours and earn the same amount of money. At this point, how
much money will each girl earn?
A.$34
B.$44
C.$52
D.$62

Answers

Answer:

44

Step-by-step explanation:

Answer:

The answer is C or 52!!

Step-by-step explanation:

Brainliest Please!

LeBron keeps track of events in his life relative to the year he was born. Relative to when he was born, his brother was born in year −3, and his family moved in year 7.
Which one of the following inequalities correctly compares the relative years?
Choose 1 answer:


(Choice A)
-3 > 7

(Choice B)
7 > -3
Which one of the following descriptions is correct?
Choose 1 answer:
(Choice A)
LeBron's family moved after his brother was born.
(Choice B)

LeBron's brother was born after his family moved.

Answers

Answer:

B then A

Step-by-step explanation:

Just easy

Answer:

first is A

then is B

Step-by-step explanation:

your welcome

Which triangle is NLM congruent to? Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

XYZ

Step-by-step explanation:

due to the angles being equivalent to eachother(NL angles being equal to XZ). The M and Y are equal to eachother.

Which statement is true? *
none of the other choices
sin 50° = cos 40°
sin 50° = tan 50°
sin 50° = tan 40°
sin 50° = cos 50°

Answers

Sin 50= cos 40 is true

Answer:

sin 50=cos 40 is true statement.

A mother bear and her cub catch fish from a river . The mother bear catch 10 fish the mother bear catch 5 times as many

Answers

Answer:

This doesn't make sense.

Step-by-step explanation:

If the question was "A mother bear and her cub catch fish from a river. The cub catches 10 fish and the mother bear catches 5 times as many as the cub. How many fish did the cub catch?" then the answer would be, The mother bear caught 50 fish.

This is because if the cub caught 10, and the mother caught 5 times that amount, the mother caught 5 x 10 fish. 5 x 10 = 50.

prime factorization of 154​

Answers

Answer:

The prime factors of 154 are 2, 7, 11.

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

[tex]154 = 2 \times 7 \times 11[/tex]

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