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
musickatia [10]
4 years ago
10

Dale has 2000 dollars to invest. He has a goal to have 5800 in this invest ment in 9 years. At what annual rate compounded conti

nuously will Dale reach his goal?
Mathematics
2 answers:
elena-14-01-66 [18.8K]4 years ago
3 0

Answer:

Dale will reach his goal at an annual rate of 11.83%.

Step-by-step explanation:

The formula for continuos compounding is given by:

A(t) = Pe^{rt}

In which A is the amount after t years, P is the principal(initial amount) and r is the annual rate.

Dale has 2000 dollars to invest.

This means that P = 2000

He has a goal to have 5800 in this invest ment in 9 years.

So A(9) = 5800

At what annual rate compounded continuously will Dale reach his goal?

This is r.

A(t) = Pe^{rt}

5800 = 2000e^{9r}

e^{9r} = \frac{58}{20}

e^{9r} = 2.9

\ln{e^{9r}} = \ln{2.9}

9r = \ln{2.9}

r = \frac{\ln{2.9}}{9}

r = 0.1183

Dale will reach his goal at an annual rate of 11.83%.

lina2011 [118]4 years ago
3 0

Answer:

Annual rate of 12.56%

Step-by-step explanation:

To find the annual rate, we need to use the compound interest formula:

M = Mo * (1+r)^t

where M is the goal value (M = 5800), Mo is the inicial value (Mo = 2000), r is the annual rate we want to find, and t is the number of years (t = 9). Then we can calculate the equation to find the value of r:

5800 = 2000 * (1+r)^9

(1+r)^9 = 5800/2000 = 2.9

1+r = 1.1256

r = 0.1256 = 12.56%

You might be interested in
PLEASE HELP!!!
andrey2020 [161]

Answer:

567 mph

Step-by-step explanation:

The speed will actually just be the slope of the line. Slope is change in y-coordinates over change in x-coordinates. We can pick any two points for this; let's just do (1, 567) and (2, 1134).

Slope = (1134 - 567) / (2 - 1) = 567 / 1 = 567

The speed is thus 567 miles/hour.

6 0
4 years ago
Read 2 more answers
PLEASE HELP I WILL MARK BRAINLIEST!
mylen [45]
The answer is D.137 
The questions asked how many people he surveyed therefore you are to add up all the numbers.
74+33+12+18= 137
4 0
4 years ago
Which statement shows the associative property of addition?
abruzzese [7]

Answer:

\displaystyle (18 + 6) + y = 18 + (6 + y)

Step-by-step explanation:

This shows the correct way to use the <em>Associative</em><em> </em><em>Property</em><em> </em>because there are GROUPING SYMBOLS wrapped around UNIQUE parts of each expression, and STILL gets the exact same result.

I am joyous to assist you anytime.

8 0
3 years ago
An unfair coin has a probability of coming up heads of 0.65. The coin is flipped 50 times. What is the probability it will come
Lady bird [3.3K]

Answer: the probability it will come up heads 25 or fewer times is 0.019

Step-by-step explanation:

Given that;

n = 50

p = 0.65

so, q = 1 - p = 0.35

np = 50 × 0.65 = 32.5 ≥ 10

nq = 50 × 0.35 = 17.5 ≥ 10

so, we need to use Normal Approximation for the Binomial Distribution

μ = np = 50 × 0.65 = 32.5

σ = √(npq) = √( 50 × 0.65 × 0.35 ) = 3.3726

now, the probability that it will come up heads 25 or few times will be;

⇒ P( x≤25)

{using continuity correction}

⇒ P[ z < (25.5 - 32.5)/3.3726 ]

⇒ P[ z < -2.0755 ]

using z-table

= 0.01923 ≈ 0.019  { 3 decimal places}

Therefore the probability it will come up heads 25 or fewer times is 0.019

4 0
3 years ago
I don't understand this question but the company I choose was PepsiCo. The shares price is $146.02​
Anni [7]

9514 1404 393

Answer:

  136.96754 shares, or maybe 136 shares

Step-by-step explanation:

At a cost of $146.02 per share, $20,000 will buy ...

  $20,000 / (146.02/share) = 136.96754 shares

__

Some accounts will let you purchase partial shares; others require you purchase whole shares. $20,000 is enough to pay for 136.96754 shares, but you may be able to purchase only 136 shares. (You would have $141.28 in cash remaining after that transaction.)

Some accounts manage shares in multiples of 0.001 shares; others may use more decimal places. Above, we have shown the quantity that spends the entire $20,000. Using fewer decimal places will leave some cash remaining.

We have assumed you're not paying any brokerage fees or loads that would reduce the amount of money that actually purchases shares.

_____

<em>Additional comment</em>

Whenever you buy anything, the cost of more than one of it is the unit price times the number of units. (Quantity discounts may apply.) In like fashion, the cost of multiple shares of stock is the single-share cost multiplied by the number of shares. As with all multiplication relations, a corresponding division relation is <em>the number of shares is the total cost divided by the cost per share</em>.

8 0
3 years ago
Other questions:
  • if the arc length shown in blue is 32.5 inches, then theta to the nearest hundredth of radian is ___.
    14·2 answers
  • The eatery restaurant has 200 tables. On a recent evening, there were reservations for 1/10 of the tables. How many tables were
    7·1 answer
  • Heinepkenirnrid Help
    6·1 answer
  • 72/10-9/2=_____ <br> i need help with this problem
    5·1 answer
  • Results of a random survey showed that 15 out of 25 students plan to vote for Stacy for class
    6·1 answer
  • Y=-2/3+8 in standard form
    9·1 answer
  • Kelly is creating lemonade by mixing 3 parts lemon juice with 2 parts sugar. If she uses 3
    5·2 answers
  • Mike uses 22 ounces of lemon juice to make one pitcher of lemonade. He has 572 ounces of lemon juice. How many pitchers of lemon
    11·2 answers
  • Which number is rational? ​
    7·1 answer
  • Substitute the values into the appropriate formula and solve for x.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!