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
larisa86 [58]
4 years ago
9

Help!!!!

Mathematics
1 answer:
joja [24]4 years ago
4 0

Answer:

0.28 yr  

Step-by-step explanation:

To find the doubling time with continuous compounding, we should look at the formula:

FV = PVe^{rt}

FV = future value, and

PV = present value

If FV is twice the PV, we can calculate the doubling time, t

\begin{array}{rcl}2 & = & e^{rt}\\\ln 2 & = & rt\\t & = & \dfrac{\ln 2}{r} \\\end{array}

1. Samuel's doubling time

\begin{array}{rcl}t & = & \dfrac{\ln 2}{0.055}\\\\& = & \textbf{12.603 yr}\\\end{array}

2. Claire's doubling time

\begin{array}{rcl}t & = & \dfrac{\ln 2}{0.05625}\\\\& = & \textbf{12.323 yr}\\\end{array}

3. Samuel's doubling time vs Claire's

12.603 - 12.323 = 0.28 yr

It would take 0.28 yr longer for Samuel's money to double than Claire's.

You might be interested in
The family of functions y = ce^{-2x} + e^{-x} is solution of the equation y' + 2y = e^{-x}. Find the constant c which defines th
Rufina [12.5K]

Answer:

c = 1190.2

Step-by-step explanation:

We have the following solution:

y(x) = ce^{-2x} + e^{-x}

We want to find the value of x that satisfies the following condition:

y(3) = 3.

This means that when x = 3, y = 3. So

y(x) = ce^{-2x} + e^{-x}

y(3) = ce^{-2*3} + e^{-3}

3 = ce^{-6} + e^{-3}

3 = ce^{-6} + 0.0498

ce^{-6} = 2.9502

c = \frac{2.9502}{e^{-6}}

c = 1190.2

4 0
3 years ago
Can solids undergo convection
zysi [14]
No because solids can't transmit heat by convection, and convection only works because of hotter and quicker moving molecules have a lower density so they rise to the surface. But in a solid, the molecules can't move relative to each other. They only vibrate :)
5 0
3 years ago
Kitara has 100 quarters and dimes. Their total value is $19. How many of each coin does Kitara have?
Sedbober [7]
Q + d = 100 so q = 100 - d
0.25q + 0.10d = 19

substitute q = 100 - d into 0.25q + 0.10d = 19

0.25q + 0.10d = 19
0.25(100 - d) + 0.10d = 19
25 - 0.25d + 0.10d = 19
-0.15d = -6
        d = 40

q = 100 - 40 = 60

answer
Kitara has 60 quarters and 40 dimes

4 0
3 years ago
What is the best description for the lines
jeyben [28]

Answer:

Lines are described as connecting curve joining two points.

Step-by-step explanation:

In coordinate geometry, graph theory, we have points which do not occupy any space.

Any two points can be connected by a curve or a straight line.  If two points are joined by a straight line, then we have the slope of the line i.e. the tangent of angle of the line with x axis is constant.

Straight lines would be of the form ax+by+c=0

Hence in equation form, lines would have equations in linear form of both x and y.

Lines have constant slope throughout the region.

Lines can be extended from -infinity to +infinity

Any two distinct  points can make a line, but 3 points need not lie on the same line.


7 0
3 years ago
a tennis player hits a serve that cannot be returned 45 percent of the time. Out of 300 serves, how many can yiu predict will no
lubasha [3.4K]

Remember that 45%=45/100=0.45

So if the tennis player serves the ball 300 times, and 45% cannot be returned, then we can use the following expression to solve for the answer:

300*0.45=135serves

Answer: 135 serves will not be returned
4 0
4 years ago
Other questions:
  • Why is this 1 and not 0? Steps please? Y^0=1. Why is it equal to 1 and not 0? Please really explain this because I’m still convi
    7·1 answer
  • A slow jogger runs a mile in 13 mins calculate the speed in in/s
    10·1 answer
  • For a continuous random variable x, the probability density function f(x) represents
    6·1 answer
  • How do you solve for L?<br><br> L=5B<br> L+7=3(B+7)
    13·2 answers
  • If fx) = 3x-2], what is f(59)?
    7·1 answer
  • What is the product of all values of b that satisfy (b-2)(b-8) +4= 0 ?
    8·1 answer
  • A <br> is a number formed by multiplying ten by a number.
    7·1 answer
  • Please help me on this If you don’t mind
    10·1 answer
  • Find the solution to the system by the substitution method. Check your answer.
    5·1 answer
  • Choose the end behavior of the graph of each polynomial function
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!