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
spayn [35]
3 years ago
10

find the amount of time to the nearest day it would take a deposit of $2500 to grow to $1 million at 2% compounded continuously.

find how many days & years
Mathematics
1 answer:
castortr0y [4]3 years ago
8 0

Answer:

Years = natural log (Total / Principal) / Rate

Years = natural log (1,000,000 / 2,500) / .02

Years = natural log (400) / .02

Years =  5.9914645471 / .02

It would take  299.573227355 Years

Source: http://www.1728.org/rate2.htm

Step-by-step explanation:

You might be interested in
Please help! Math problem is attached!!
Tamiku [17]

Answer:

Ounces of strawberry juice: 20 ounces

Ounces of water: 80 ounces

Step-by-step explanation:

For this problem, we can use the equation:

x + y = 100 ounces

Where x = The number of ounces of strawberry juice

and y = The number of ounces of water

Since we know that Molly uses four times as many ounces of water for each ounce of strawberry juice, we can conclude that:

y = 4x

With this information, we can use substitution to solve for x.

x + y = 100 ounces

x + (4x) = 100

Combine like-terms.

5x = 100

x = 20

Now that we know the value of x, we can figure out how many ounces of strawberry juice and how many ounces of water Molly needs.

Since x = The number of ounces of strawberry juice, Molly needs to use 20 ounces of strawberry juice.

Since y = The number of ounces of water, Molly needs to use 80 ounces of strawberry juice. (y = 4x | x = 20 | y = 4(20) | y = 80)

~Hope this helps!~

7 0
3 years ago
A gardener wishes to design a rectangular rose garden with one side of the garden along a main road. The fencing for the 3 non-r
Reptile [31]

Answer:

There is no minimum cost for the fencing that can satisfy these conditions.

as the equation obtained for this problem is y = \frac{7x}{x-6}.

Step-by-step explanation:

let length of the rectangular rose garden be x

and breath of the rectangular rose garden be y

then the area of the garden = xy

cost of fencing a foot for the 3 non road sides = $6

and cost of fencing a foot for a road side = $8

total cost of fencing = 6x + 8x + 6y + 6y

so, total cost = 14x + 12y

cost of fencing for every square foot of the area =$2

So, 2xy = 14x + 12y

=> 2xy = 14x + 12y

Also, x and y has to satisfy x>0 and y>0

You can solve for y (or x if you prefer)

2xy-12y=14x

xy - 6y = 7x

y(x-6)=7x

y = \frac{7x}{x-6}

we can check that this function has no minimum value.

as we increase x (starting any x > 6 to make y positive) to make y minimal, y will decrease but the product xy will increase.

So, there is not a minimum cost for fencing that can satisfy these conditions.

8 0
3 years ago
Read 2 more answers
The temperatures (in degrees Fahrenheit) in Long Island recorded by the weather bureau over a week were 42, 49, 53, 55, 50, 47,
Ghella [55]
The IQR or interquartile range is the difference between Q1 and Q3, also know as the upper and lower quartiles.
5 0
3 years ago
Read 2 more answers
The square below represents one whole.<br><br> What percent is represented by the shaded area?
Leokris [45]

Answer:

92%

Step-by-step explanation:

because there are 100 squares and 92 are shaded

8 0
3 years ago
Hi, can you help me answer this question, please, thank you!
frutty [35]

Given:

mean, u = 0

standard deviation σ = 1

Let's determine the following:

(a) Probability of an outcome that is more than -1.26.

Here, we are to find: P(x > -1.26).

Apply the formula:

z=\frac{x^{\prime}-u}{\sigma}

Thus, we have:

\begin{gathered} P(x>-1.26)=\frac{-1.26-0}{1} \\  \\ P(x>-1.26)=\frac{-1.26}{1}=-1.26 \end{gathered}

Using the standard normal table, we have:

NORMSDIST(-1.26) = 0.1038

Therefore, the probability of an outcome that is more than -1.26 is 0.1038

(b) Probability of an outcome that

4 0
1 year ago
Other questions:
  • Which term best represents a tile floor without any overlapping or gaps?
    7·2 answers
  • Which of the following numbers has 5 in the ten thousands place A. 652,341. B. 562, 341. C. 462,541. D. 265,401
    8·2 answers
  • What is the difference of 4,047 and 2,191?
    10·1 answer
  • Jennifer paid $13.37 for a pack of 12 pairs of sport socks. What was the price of a pair of sport socks
    6·1 answer
  • Answer ASAP!!!! What is the volume of a sphere with a radius of 8 mm? Round the answer to the nearest whole number. 804 mm3 1,07
    5·1 answer
  • You drive 132 miles in 3 hours. At<br> that speed, how many miles could you drive in 4 hours?
    10·1 answer
  • Find the equation of the line.<br> Use exact numbers.<br> y= __x+__
    10·1 answer
  • Please help is this undefined or 0?
    13·2 answers
  • What is the square root of 30 ​
    14·2 answers
  • The graph of a function, ƒ, is shown here. What is the domain of ƒ? A) (−∞, −3] ∪ (−1, 4) ∪ [5, ∞) B) (−∞, −3] ∪ (−1, 4) ∪ [5, ∞
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!