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
Chris bought 12.4 gallons of gasoline. There are approximately 3.8 liters in 1 gallon. Which measurement is close to the number
Masja [62]

Answer:

There are 47.12 liters in 12.4 gallons of gasoline.

Option C is correct option.

Step-by-step explanation:

Total Gasoline bought = 12.4 gallons

We are given:

1 gallons = 3.8 liters

So.=, we need to find how many liters in 12.4 gallons of gasoline

1 gallon = 3.8 liters

12.4 gallon = 3.8*12.4

                  = 47.12 liters

So, there are 47.12 liters in 12.4 gallons of gasoline.

Option C is correct option.

4 0
3 years ago
What is the equation of this graphed line?
Veseljchak [2.6K]

Answer:

Slope Intercept form of the equation is y  = \frac{1}{3} x - 9

Step-by-step explanation:

Here,  the two point line are given as  is A(-6,-3) and B(6,-7)

The slope of the line AB =  m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{-7-(-3)}{6-(-6)}   = \frac{-7 + 3}{6 + 6}   = \frac{4}{12} \\\implies m = \frac{1}{3}

⇒ the slope of AB  is m =  (4/3)

By SLOPE  INTERCEPT FORMULA:

The equation of a line with slope m and a point (x0, y0) is given as

(y-y0)=  m (x-x0)

⇒ The equation of line with point (6,-7) is:  

y + 7 = \frac{1}{3} (x-6)  \implies  3y + 21  - x + 6 - 0\\or, -x + 3y + 27 = 0

Now, the given equation is -x + 3y  = -27

Convert it in the  SLOPE INTERCEPT FORM  y = mx + c

We get, 3y = x - 27

or, y = \frac{1}{3} x - \frac{27}{3} \\\implies y = \frac{1}{3} x - 9

Hence, the Slope Intercept form of the equation is y  = \frac{1}{3} x - 9

3 0
3 years ago
Find the product.<br> 0.18 × 4
ZanzabumX [31]
0.18 x 4 = 0.72
0.72 is the product
7 0
2 years ago
I need this question awnserd fast please help me.
EastWind [94]

Answer:

She started with 200 stamps

Step-by-step explanation:

3 0
3 years ago
What is mKNL?<br> Enter your answer in the box.
sergejj [24]

Answer:

102°

Step-by-step explanation:

As the vertically opposite angles are equal,

5x+2={3(x+14)

Now let's solve for x now

5x+2=3(x+14)\\

5x+2=3x+42

5x-3x=42-2

2x=40

\frac{2x}{2} =\frac{40}{2}

x=20 \\

Now let's find the value of KNL

3(x+14)\\3(20+14)\\3*34\\102

Hope this helps you.

Let me know if you have any other questions ;-)

5 0
2 years ago
Other questions:
  • You have found a pair of shoes that you want to buy online.Zappo's has the shoes for 49.99 and you have a coupon for 20
    14·1 answer
  • Helpppp plssssssss!!!!! Thanks
    9·2 answers
  • Fine the midpoint of the segment with the given points (6,-7) and (-5,1)
    15·1 answer
  • Find the exponential regression equation that best fits the data
    10·1 answer
  • The situation that is best modeled by a discrete graph is the daily records of the distance of each hotel from home during a cro
    12·2 answers
  • Mia is touring New York City with her family. They want to visit the Empire State Building, Central Park, and Times Square befor
    15·1 answer
  • Fay has a lemonade stand. She spends £35 on ingredients. She sells each glass of lemonade for £2.10. If she sells 50 glasses of
    5·1 answer
  • Andreas patio is composed of a rectangle and a semi circle as shown in the figure below which is the best estimate of the area o
    14·1 answer
  • The graph shows the number of jump ropes produced in a toy factory over a period of 8 hours.
    15·1 answer
  • Need help with Trig fast
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!