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
Which simplified fraction is equal to 0.53 repeat ? A.24/46 B.8/15 C.42/90 D.5/9
murzikaleks [220]

Answer:

To see how these fractions are equal, I divided the numerators by the denominators. For instance, you could have 4 over 5 (4/5) and divide 4 by 5 (4/5) to get 0.8. Now you'll do the same thing for the fractions given

24/45=0.533...

8/15=0.533...

48/90=0.533...

5/9=0.5556

As you can see, the only fraction that doesn't equal 0.53, or the outlier, is 5/9 or 0.5556

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Solve the inequality 5x<2x-3
mr Goodwill [35]

Answer:

To solve this inequality you need to get x by itself

5x<2x-3 (your first step would be to subtract 2x from each side)

3x<3 ( you then divide 3 to each side to get x by itself)

x<1

Hope this helps ;)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the area and perimeter of a rectangle that has base of 18 inches and height of 5 inches
KATRIN_1 [288]

Answer:

area is 90 and perimeter is 46

Step-by-step explanation:

the area for a rectangle is l * w, so 18*5 is 90, and the perimeter is 2l+2w, which is 46.

8 0
3 years ago
Read 2 more answers
Find the length of the base of a square pyramid if the volume is 128 cubic inches and has a height of 6 inches
Len [333]

Answer: a = 8

Step-by-step explanation:

Volume of a square based pyramid is given as

\frac{a^{2}h }{3} .

where a is the length of the side and h is the height.

Substituting into the formula , we have

V = \frac{a^{2}h }{3}

128 = a^{2}h /3

384= a^{2} X 6

Divide through by 6

384/6 = a^{2}

64 = a^{2}

Therefore :

a = \sqrt{\frac{64}{1} }

a = 8

6 0
3 years ago
Factor the quadratic expression Completely; -8x^2-15x+2
SSSSS [86.1K]
(x + 2)(- 8x + 1) are your factors. 
4 0
3 years ago
Other questions:
  • -12 - 8 - (-20) = A.0 B.16 C.-40 D.40
    5·1 answer
  • The estimated probability of a football player scoring a touchdown during a particular game is 26%. If several simulations of th
    11·2 answers
  • 1) 8(4w - 5) =<br>2) 7 (-35 - 6) -<br>can you help me solve these​
    10·2 answers
  • Alexandra has some dimes and some quarters. She has no more than 21 coins worth a minimum of $3.75 combined. If Alexandra has 4
    9·1 answer
  • PLEASE HELP<br><br> What is the value of x?
    5·1 answer
  • Assume that during each second, a job arrives at a webserver with probability 0.03. Use the Poisson distribution to estimate the
    15·1 answer
  • Can i get some help with these LCD equations please.
    15·1 answer
  • 2x + y = -4<br> x + 4y = 12<br> Solve both for y
    14·1 answer
  • He makes a total of $500 for every 3 clients he
    6·2 answers
  • Jamie reads 15 pages in 25 minutes and wants to know how many pages she can read in 65 minutes
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!