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jok3333 [9.3K]
3 years ago
12

Thomas invests $50,000 in an account that compounds interest continuously and earns 15%. How long will it take for his money to

triple? Round to the nearest tenth of a year.
Mathematics
2 answers:
Blizzard [7]3 years ago
8 0

Answer:

7.3 years

Step-by-step explanation:

WARRIOR [948]3 years ago
4 0

Answer:

It will take about 7.3 years for his money to triple.

Step-by-step explanation:

Identify the variables in the formula.

A = 150,000

P = 50,000

r = 0.15

t = ?

A = Pe^rt

Substitute the values into the formula.

150,000 = 50,000e^0.15*t

Solve for t. Divide each side by 50,000.

3 = e^0.15*t

Take the natural log of each side.

ln 3 = ln e^0.15*t

Use the power property and then simplify.  

ln 3 = 0.15*t ln e

ln 3 = 0.15-t

Divide each side by 0.15.

(ln 3) /(0.15) = t

Approximate the answer.

t ≈ 7.3

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Find Lowest common factor of following questions .<br>56, 42, 28​
Montano1993 [528]

Answer:

\boxed{\textsf{ The LCM of 56 , 42 , 28 is \textbf{ 168}.}}

Step-by-step explanation:

We need to find out the LCM of 56 , 42 , 28 . So Lowest Common Multiple known as LCM is the lowest multiple which is divisible by all the numbers whose LCM is taken out . It can we done by two methods. Both of which are discussed in the attachment .

For complete solution kindly refer to the attachment .

<u>Related</u><u> Information</u><u> </u><u>:</u><u>-</u><u> </u>

<u>•</u><u> </u><u>HCF </u><u>:</u><u>-</u>

  • It stands for Highest Common Factor . It is the highest numbers which divides out completely the numbers without leaving remainder of the numbers whose HCF is we are finding out .

3 0
3 years ago
Amy, Rick, and Nisha are investing in three different types of stocks. What type of stock is each person Investing in?
GenaCL600 [577]

Answer: Amy = domestic stock

Rick = Employer stock

Nisha = International stock

Step-by-step explanation:

Amy invests in shares that won't be affected by exchange rate fluctuations. This shows that the stock that Amy invested in is a domestic stock. These are the stocks that are usually sold by companies in the home country.

As a part of Rick's full-time benefits package, he can invest in compally stock. This shows that Rick invested in the employer stock.

Nisha needs to research the political situation in a specific country before she purchases stock. Nisha invested in an international stock.

4 0
2 years ago
Four brothers each bought two hot dogs and a bag of chips at the football concession stand. If the bag of chips was $1.25, and t
IRISSAK [1]
Items bought in total:
4 brothers X two hot dogs and one bag of chips=
4X3=
12.

Hot dogs- x, chips- y.
4y + 8x= $18.20

Chips= $1.25 each so
4($1.25) + 8x= $18.20
5 + 8x= $18.20
8x= $18.20-5
8x= $13.20
x= $13.20/8 [13.20 divided by 8]
x= $1.65

This means that one hot dog= $1.65.

If you’re unsure what to write as the answer I’d suggest that you put all the working out down in your copy/notes.
3 0
3 years ago
My sister needs help lol. (She is young)
scZoUnD [109]

Answer:

The answer is A-2

Step-by-step explanation:

because half of 4 (Which is the width of the flower garden) is 2 (Which would be the width of the Vegetable garden.

4 0
3 years ago
The total monthly profit for a firm is P(x)=6400x−18x^2− (1/3)x^3−40000 dollars, where x is the number of units sold. A maximum
wlad13 [49]

Answer:

Maximum profits are earned when x = 64 that is when 64 units are sold.

Maximum Profit = P(64) = 2,08,490.666667$

Step-by-step explanation:

We are given the following information:P(x) = 6400x - 18x^2 - \frac{x^3}{3} - 40000, where P(x) is the profit function.

We will use double derivative test to find maximum profit.

Differentiating P(x) with respect to x and equating to zero, we get,

\displaystyle\frac{d(P(x))}{dx} = 6400 - 36x - x^2

Equating it to zero we get,

x^2 + 36x - 6400 = 0

We use the quadratic formula to find the values of x:

x = \displaystyle\frac{-b \pm \sqrt{b^2 - 4ac} }{2a}, where a, b and c are coefficients of x^2, x^1 , x^0 respectively.

Putting these value we get x = -100, 64

Now, again differentiating

\displaystyle\frac{d^2(P(x))}{dx^2} = -36 - 2x

At x = 64,  \displaystyle\frac{d^2(P(x))}{dx^2} < 0

Hence, maxima occurs at x = 64.

Therefore, maximum profits are earned when x = 64 that is when 64 units are sold.

Maximum Profit = P(64) = 2,08,490.666667$

6 0
3 years ago
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