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
GuDViN [60]
3 years ago
6

In 2000, Bob’s 401(k) fund lost $9000. In 2001, it lost another $10,000, and in 2002, it lost $17,000. In 2003, it gained $16,00

0, and in 2004 it gained $12,000. How much more does it have to gain to be worth what it was at the start of 2000?
Mathematics
1 answer:
enyata [817]3 years ago
5 0
None.... it would be $402,000 in 2004
You might be interested in
A colony of bacteria is growing at a rate of 0.2 times its mass. Here time is measured in hours and mass in grams. The mass of t
11Alexandr11 [23.1K]

Answer:

  • <u>Question 1:</u>      dm/dt=0.2m<u />

<u />

  • <u>Question 2:</u>     m=Ae^{(0.2t)}<u />

<u />

  • <u>Question 3:</u>      m=10e^{(0.2t)}<u />

<u />

  • <u>Question 4:</u>      m=10g<u />

Explanation:

<u>Question 1: Write down the differential equation the mass of the bacteria, m, satisfies: m′= .2m</u>

<u></u>

a) By definition:  m'=dm/dt

b)  Given:  rate=0.2m

c) By substitution:  dm/dt=0.2m

<u>Question 2: Find the general solution of this equation. Use A as a constant of integration.</u>

a) <u>Separate variables</u>

     dm/m=0.2dt

b)<u> Integrate</u>

           \int dm/m=\int 0.2dt

            ln(m)=0.2t+C

c) <u>Antilogarithm</u>

       m=e^{0.2t+C}

       m=e^{0.2t}\cdot e^C

         e^C=A\\\\m=Ae^{(0.2t)}

<u>Question 3. Which particular solution matches the additional information?</u>

<u></u>

Use the measured rate of 4 grams per hour after 3 hours

            t=3hours,dm/dt=4g/h

First, find the mass at t = 3 hours

            dm/dt=0.2m\\\\4=0.2m\\\\m=4/0.2\\\\m=20g

Now substitute in the general solution of the differential equation, to find A:

          m=Ae^{(0.2t)}\\\\20=Ae^{(0.2\times 3)}\\\\A=20/e^{(0.6)}\\\\A=10.976

Round A to 1 significant figure:

  • A = 10.

<u>Particular solution:</u>

           

             m=10e^{(0.2t)}

<u>Question 4. What was the mass of the bacteria at time =0?</u>

Substitute t = 0 in the equation of the particular solution:

         m=10e^{0}\\\\m=10g

3 0
3 years ago
Answers:
ryzh [129]
Answers:

☆☆☆☆☆☆☆☆aTriangle ZYX
bTriangle YZX
cTriangle XZY
dTriangle XYZ
4 0
2 years ago
Due to weather mark walk to school day of the 20 days in february what would be the fraction representation for the number of da
nekit [7.7K]

Tbe question doesn't state the number of days he walked to school out of 20 school days in the

Month of February.

Answer:

Kindly check explanation

Step-by-step explanation:

To. Obtain the fractional representayion for the number of days he walked to school ;

Let the number of days he walked to school = 10 (this is an hypothesized value)

Number of school days in February = 20

Fraction = 10 /20 = 0.5

The percentage of times walked to school : multiply the fraction obtained above by 100%

0.5 * 100% = 50%

Just put the desired value and proceed uSing the steps described above.

8 0
3 years ago
HELPPPP ASAPPP PLEASSSSEE
kolezko [41]

Let dimes = d and quarters =q

D + q = 50

D= 50-q

0.10d + 0.25Q = 7.70

Replace d with 50-q:

0.10(50-q) + 0.25q = 7.70

Simplify:

5 -0.10q + 0.25q = 7.70

5 + 0.15q = 7.70

Subtract 5 from both sides:

0.15q = 2.70

Divide both sides by 0.15:

Q = 2.70 / 0.15

Q = 18

D = 50-18 = 32

There are 32 dimes and 18 quarters

5 0
3 years ago
Read 2 more answers
Which statement best explains whether the table represents a linear or nonlinear function?
andrezito [222]

Answer:

It is a linear function because there is a constant rate of change in both the input and output values.

Step-by-step explanation: I took the test

3 0
2 years ago
Other questions:
  • A group of tourists spends $168 to rent snorkels and fins. A total of 10 snorkels and 12 pairs of fins are rented. Renting a sno
    14·1 answer
  • Sasha can run at an average speed of 934 9 3 4 min/mi. She runs at this speed for 6814 68 1 4 min. How many miles does Sasha run
    6·1 answer
  • What is the completely factored form of d4 − 81?
    11·2 answers
  • Please help me please please please please
    10·2 answers
  • A student was given two data sets, Set A and Set B. Which of the following
    5·1 answer
  • Equivalent Find the number that makes the ratio equivalent to 1:7. 4:​
    13·1 answer
  • Please help me with this question​<br>please do fast
    10·1 answer
  • If a car uses one gallon of gas every 25 miles how much miles would he make with 8 gallons
    10·1 answer
  • Which coordinate grid shows Point A at (−0.25, 1.75)?
    9·1 answer
  • What is the value of y in the triangle 35 POINTS
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!