1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
bogdanovich [222]
3 years ago
12

If Tanisha has ​$nbsp 100 100 to invest at 66​% per annum compounded semiannuallysemiannually​, how long will it be before she h

as ​$nbsp 150 150​? If the compounding is​ continuous, how long will it​ be?
Mathematics
1 answer:
Oxana [17]3 years ago
7 0

Answer:

time is 6.76 years

Step-by-step explanation:

given data

amount = $150

payment = $100

rate r = 6%  = 0.06

to find out

time period t

solution

we know it is compounding continuous

so we will apply here formula that is

amount = payment × e^{rt}   ..........1

put here all value we get

amount = payment × e^{rt}  

150 = 100 × e^{0.06t}  

take ln both side

ln 1.5 =  e^{0.06t}  

0.40546 = 0.06t

t = 0.40546 / 0.06

t = 6.76

so time is 6.76 years

You might be interested in
F(x)= 2x^3- x^2 +x+ 1 is divided by 2x +1.
ololo11 [35]

Answer:

Step-by-step explanation:

               x^2

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

2x + 1  /  2x^3     -     x^2    +      x      +    1

               2x^3    +    x^2

              -----------------------

                                    0 + x + 1

                                        x + 1

The quotient is  x^2 + ------------

                                       2x + 1

8 0
2 years ago
A distance AB is observed repeatedly using the same equipment and procedures, and the results, in meters, are listed below: 67.4
skad [1K]

Answer:

a) \bar X =\frac{67.401+67.400+67.402+67.396+67.406+67.401+67.396+67.401+67.405+67.404}{10}=67.401

b) The sample deviation is calculated from the following formula:

s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

And for this case after replace the values and with the sample mean already calculated we got:

s=0.0036

If we assume that the data represent a population then the standard deviation would be given by:

\sigma=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}}

And then the deviation would be:

\sigma =0.00319

Step-by-step explanation:

For this case we have the following dataset:

67.401, 67.400, 67.402, 67.396, 67.406, 67.401, 67.396, 67.401, 67.405, and 67.404

Part a: Determine the most probable value.

For this case the most probably value would be the sample mean given by this formula:

\bar X =\frac{\sum_{i=1}^n X_i}{n}

And if we replace we got:

\bar X =\frac{67.401+67.400+67.402+67.396+67.406+67.401+67.396+67.401+67.405+67.404}{10}=67.401

Part b: Determine the standard deviation

The sample deviation is calculated from the following formula:

s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

And for this case after replace the values and with the sample mean already calculated we got:

s=0.0036

If we assume that the data represent a population then the standard deviation would be given by:

\sigma=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}}

And then the deviation would be:

\sigma =0.00319

3 0
3 years ago
Need help <br><br>True or False
EleoNora [17]

The answer to this question is false because it cannot still be both negative after you reflect over two positives.

7 0
3 years ago
Please solve it I will give you 30 points
Aloiza [94]

Answer:

1. (2x^2+x-1)

Step-by-step explanation:

expanding (2x^2-1)^2. multiplying (x-2) (1-2x)

= 4x^2-4x+1. = x-2x^2-2+4x

= -2x^2+5x-2

(4x^2-4x+1-2x^2+5x-2)

=2x^2+x-1

8 0
3 years ago
Read 2 more answers
Solve this quadratic equations: 10k^2-9k+2=0.<br><br> \large k= <br><br> \large k=
Dafna11 [192]
Solve the equation for k by finding a, b, and c of the quadratic then applying the quadratic formula.
Answer =
K= 1/2 , 2/5
4 0
3 years ago
Other questions:
  • If komal's salary of $2000per month is increased by 5.5%,what is his new salary
    14·1 answer
  • What is 5.889523151 rounded to the nearest tenth?
    6·2 answers
  • scientists says there that says that there are 43.2 x 10,000 Birds in the United States all those birds 1/8 or chickens how many
    12·1 answer
  • Lelani weighed 136 ounces when she was born. What was her weight in pounds and ounces?
    13·1 answer
  • Please help !!! aspa
    11·1 answer
  • What is the awnser to this equation
    6·1 answer
  • Which pair of angles must be supplementary? HURRYYYYY!
    10·2 answers
  • 5.401 \times 10^{-1} = {?}5.401×10 −1 =?
    8·1 answer
  • Please someone help me ​
    6·1 answer
  • As used in this passage, what does illuminated mean?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!