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
Radda [10]
3 years ago
10

Carmen needs $3560 for future project. She can invest $2000 now at annual rate of 7.8%, compound monthly. Assuming that no withd

rawals are made, how long will it take for her to have enough money for her project?
Mathematics
2 answers:
dedylja [7]3 years ago
6 0

Answer:

  7.42 years (7 years 5 months)

Step-by-step explanation:

The future value of Carmen's account can be modeled by

  FV = P(1 +r/12)^(12t)

where P is the principal invested, r is the annual rate, and t is the number of years.

Solving for t, we have ...

  FV/P = (1 +r/12)^(12t)

  log(FV/P) = 12t·log(1 +r/12)

  t = log(FV/P)/(12·log(1 +r/12))

For FV = 3560, P=2000, r = 0.078, the time required is ...

  t = log(3560/2000)/(12·log(1 +.078/12))

  t ≈ 7.42

It will take Carmen about 7 years 5 months to reach her savings goal.

Archy [21]3 years ago
6 0
I’m not sure I think it’s 10
You might be interested in
A vase in the shape of a cube measures 8 inches on each side. The vase is half full of water. How many cubic inches of water are
Ne4ueva [31]

Answer:

256

Step-by-step explanation:

First find the volume of the cube, which is 8^3, or 512. Half of that is how much water there is, which is 256 in^3.

7 0
3 years ago
The height of the pyramid is 12 inches. This pyramid has a rectangular base with length of 10 inches and width of 9 inches. What
xenn [34]

Answer:

1080"

Step-by-step explanation:

12*10= 120

120*9= 1080

6 0
3 years ago
If r = 6 units and h = 8 units, what is the volume of the cylinder shown above? Use 3.14 for .
MariettaO [177]

Answer:

the volume of the cylinder is 904.32 m³

Step-by-step explanation:

Volume of a cylinder is \pi r^{2}h

π = 3.14

r = 6 units

h - 8 units

Substitute for the values in the volume equation

V = 904.32

6 0
3 years ago
A linear function F models a relationship in which the dependent variable decreases 6 units for every 3 units the independent va
Aleonysh [2.5K]

A. Finding the slope

The slope of the function is simply the ratio of the value of the dependent variable over the independent variable, so in this case it is:

slope = 6/ 3 = 2

 

B. Finding the y – intercept

The y – intercept is simply the value of the dependent variable when the independent variable is equal to zero, therefore:

y – intercept (b) = 4

 

C. Finding the function of the graph

The general equation of a line is given as:

y = m x + b

where m is the slope and b is the y intercept therefore:

y = 2 x + 4

 

D. Finding the x – intercept

The x – intercept is simply the value of the independent variable (x) when the dependent variable (y) is equal to zero, therefore:

0 = 2 x + 4

x = - 2

 

E. Graph the function

<span>Check out the image attached</span>

8 0
3 years ago
Even though Tom's employer knows Tom will be working only 3 months, he has to
padilas [110]

Answer:

0.48

Step-by-step explanation:

I timed the percentage 0.16×3=0.48

5 0
3 years ago
Other questions:
  • What is the solution set for StartAbsoluteValue z + 4 EndAbsoluteValue greater-than 15? 11 less-than z less-than 19 Negative 19
    11·2 answers
  • A tree graph can contain a circuit. True or False
    13·1 answer
  • The outdoor temperature was 60 degrees at midnight. The temperature went down 3 degrees each hour for the next 4 hours. What was
    13·1 answer
  • Deja has two baskets of berries. One of the baskets has 3 3/8 pounds of berries and the other basket has 2 7/8 pounds of berries
    13·1 answer
  • Find the area of the following composite figures <br><br> Open the picture<br> Thank youuuuu
    8·1 answer
  • $16,000 is what percent of $40,000?<br> Helpppp please
    11·1 answer
  • Is 6a x 4 and 24a equal
    11·2 answers
  • Write the linear equation in slope intercept form
    13·2 answers
  • Question 13 (3 points)
    14·1 answer
  • Which of the following characteristics describe the graph of an exponential function?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!