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
andre [41]
3 years ago
11

Gregory may choose between two accounts in which to invest $5000. Account A offers 2.3% annual interest compounded monthly. Acco

unt B offers continuous compound interest. Greg plans to leave his investment untouched (no further deposits and no withdrawals) for 10 years.
need help calculating account b's balance

Mathematics
1 answer:
evablogger [386]3 years ago
3 0

Answer:

<h2>Gregory should take the continuos compound interest.</h2>

Step-by-step explanation:

If we calculate the Amount with both type of interest, we have:

Annual interest compounded monthly:

A=P(1+\frac{r}{n} )^{nt} \\A=5000(1+\frac{0.023}{12} )^{12(10)} \\A=6291.61

This means that with this interest, after 10 years he will get $6,291.61.

Continuous compound interest:

A=Pe^{rt} \\A=5000e^{0.023(10)} \\A=6293

Meaning that Gregory will get 6,293.

As you can see, it's not a big difference, only $2 more, but it's still better.

<em>(Image attached are formulas with the variables meanings)</em>

You might be interested in
Erica had both chocolate cake and coconut cake at her birthday party. There were 15 people at the party, and 60 of them picked c
Ahat [919]
If you just divide 60 and 15 you will get 4. So 4 is you answer
6 0
3 years ago
Find the GCF of the numbers 45 and 76 using lists<br> of factors.
Marina86 [1]

Answer:

The factors of 45 are: 1, 3, 5, 9, 15, 45

The factors of 76 are: 1, 2, 4, 19, 38, 76

Then the greatest common factor is 1.

Step-by-step explanation:

There are no common factors other than 1

5 0
3 years ago
The function C(h)=(2h^2+5h)/(h^3+8) models the concentration of medication in the bloodstream (as a percent) h hours after its i
salantis [7]

Answer:

  1. h ≥ 0
  2. C = 0; concentration eventually decays to nothing
  3. (0, 0) is the only intercept in the domain. It means the concentration in the bloodstream is zero at the time the drug is injected.
  4. 1.95 hours

Step-by-step explanation:

1. a. The domain of the function in the context of this problem is h ≥ 0. The maximum value of h will correspond to the time at which the concentration is considered to be negligible. If that time is when the concentration decays to 1% of its peak value, then perhaps the suitable domain is 0 ≤ h ≤ 180.

b. The equation of the vertical asymptote of this function is where the denominator of C(h) is zero, that is ...

  h^3 +8 = 0

  h = ∛(-8)

  h = -2 . . . . the equation of the vertical asymptote

This is not a concern for a medical professional because it is outside the domain of the function.

__

2. As h gets large the value of the function approaches 2/h, which is to say the horizontal asymptote is C = 0. It means the concentration of medication in the blood eventually decays to zero.

__

3. C(0) = 0 is the only intercept in the domain of the function. (h, C(h)) = (0, 0)

In the context of this problem, it means the blood concentration of medication is zero at the time of the injection.

__

4. About 1.95 hours after injection, a maximum concentration of the drug occur in the bloodstream. This value is easily found using a graphing calculator.

Taking the derivative of the function gives you ...

  C'(h) = -2(h^4 +5h^3 -16h -20)/(h^3 +8)^2

This has two real zeros and two complex zeros. The positive real zero is near h = 1.94527, about 1.95.

That is, the concentration in the bloodstream reaches a maximum about 1.95 hours after injection into the muscle.

5 0
3 years ago
Margo used 864 heads to make a necklace for the art club. She made 24 necklaces with the beads. If each necklace has the same nu
Taya2010 [7]

Answer:

36

Step-by-step explanation:

if you start with 864 and she made 24 necklaces, your math equation would be 864 divided by 24 = 36

4 0
3 years ago
Read 2 more answers
6051 m is equal to how many km?
Luba_88 [7]
6,051m = 6,000m + 51m

1km=1,000 metres

--------------------------------

Therefore:

6,051 metres = 6,000/1,000km + 51/1,000km

=6,051/1,000km

=6.051km
8 0
3 years ago
Read 2 more answers
Other questions:
  • a baby weighs 8 1/4 pounds at birth. Two weeks later, she weighs 8 7/8. how much weight did the baby gain
    12·1 answer
  • A study of commuting times reports the travel times to work of a random sample of 1076 employed adults in chicago. the mean is x
    12·1 answer
  • 9^x=1/3<br><br> How much is x?
    8·1 answer
  • a group of students at 5/12 of a cheese pizza seventh eighth of a pepperoni pizza and 5/8 of a veggie pizza how many pieces were
    11·1 answer
  • Help please. You don’t have to explain it
    13·1 answer
  • Please help ASAP! 7th grade
    15·1 answer
  • Solve for v -3+2v=-7
    11·2 answers
  • When drawing the stretchout arc for the pattern of a cone fitting, the radius should be equal to _____.
    7·1 answer
  • Please Answer, Quickly ​
    11·1 answer
  • A bee flies at 10 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 18 ​minutes, and the
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!