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
Musya8 [376]
2 years ago
11

Determine, to the nearest tenth of a year, how long it would taken an investment to double at a 3 3/4% interest rate, compounded

continuously
Mathematics
1 answer:
Stella [2.4K]2 years ago
7 0

Based on the interest rate and continuous compounding, the investment would double in value after 18.5 years.

We have given that,

investment to double at a 3 3/4% interest rate,

<h3>When will the investment double in value?</h3>

The future value using continuous compounding is:

= Amount x e ^ (rate x time)

Interest is

= 3.75%

<h3>What is the formula of an exponential function?</h3>

2 = e ^ (0.0375 x time)

In2 = 0.0375 x time

t = In2 / 0.0375

t= 18.5 years

To learn more about the compounded continuously visit:

brainly.com/question/16731646.

#SPJ1

You might be interested in
a family saved 40000 in Savings Bank that pays compound interest half-yearly at a rate of 10% per annum what is amount in the fa
STALIN [3.7K]

Step-by-step explanation:

WE know

  • A=P(1+r/n)^nt, where A is the amount, P is the principle r is the rate , t is the time and n is the number of interest compounded per unit time

so by suing this formula

  • A=40000(1+0.1/2)^2*2
  • A=40000(1.2155)
  • or, A=48620.25
  • therefore the amount is Rs.48620.25
5 0
3 years ago
Find the sine and cosine of each angle as a fraction and as a decimal. Round to the nearest hundredth.
lawyer [7]

Answer:

<em>1st triangle:</em>

sin(C): 0.64, \frac{16}{25}

cos(C): 0.8, \frac{4}{5}

<em>Second triangle:</em>

sin(C): 0.75, \frac{\sqrt{5} }{3}

cos(C): 0.67, \frac{2}{3}

Step-by-step explanation:

Using SOH CAH TOA, we know that to find the sin of an angle, it's Opposite/Hypotenuse.

To find the cos of an angle, it's adjacent/hypotenuse.

<u>In the 1st triangle:</u>

The adjacent to C is 16, the hypotenuse is 25.

\frac{16}{25} = 0.64 is the sin of C.

The adjacent to C is 20, and the hypotenuse is 25.

\frac{20}{25} = 0.8 is the cos of C.

<u>In the second triangle:</u>

The opposite to C is \sqrt{5} and the hypotenuse is 2.

\frac{\sqrt{5} }{2}  \approx0.75 is the sin of C.

The adjacent to C is 2 and the hypotenuse is 3.

\frac{2}{3} \approx 0.67 is the cos of C.

Hope this helped!

3 0
3 years ago
Read 2 more answers
If 5 less than double a number is between -7 and 13
RideAnS [48]

Firstly, we will let this mystery number we are finding be labelled as x. Double this number can be written as 2x. 5 less than double this number is written as 2x - 5. And because this number is between -7 and 13, we have the full inequality, -7 < 2x - 5 < 13.

To solve this inequality, we want to isolate x, so we add 5 to all 3 parts of the inequality. Doing so cancels out the - 5 in the middle, so our new inequality is -2 < 2x < 18. Now we want to divide all 3 parts of the inequality by 2 to isolate x, so now our final inequality is -1 < x < 9. Thus, we can say that x is between -1 and 9.

3 0
3 years ago
What is the exact value of cos 30° ?<br><br>enter answer as a simplified fraction.
Zigmanuir [339]
I'm thinking 3/2 hopefully lol
8 0
3 years ago
Daphne has 3 days to drive 932.4 miles . she wants to have completed about 75% of the drive by the start of day three.which of t
nekit [7.7K]
So, 932.4miles (.75)=699.3miles are the miles that she wants to drive by the start of three days. so each day is 25% because of 75%/3=25%
In two days it will be 50% so, .50(932.4miles)=466.2 miles is the answer.
4 0
3 years ago
Other questions:
  • Doris uses 6 square pieces of fabric to make one scarf. Each side of a square piece of fabric is one third yard in length. Doris
    7·2 answers
  • A roof in the shape of a half-cylinder covers the a local soccer field so kids can play soccer
    10·1 answer
  • A store has a 40\%40%40, percent off sale on headphones. With this discount, the price of one pair of headphones is \$36$36dolla
    5·2 answers
  • What are the possible degrees for the polynomial function?
    13·1 answer
  • For a school play, Josh bought 3 adult tickets and 5 child tickets for $40. Emily bought 1 adult ticket and 5 child tickets for
    12·2 answers
  • The coordinates of the vertices of a rectangle are (−3, 4) , (7, 2) , (6, −3) , and (−4, −1) . What is the perimeter of the rect
    5·1 answer
  • HELP WILL MARK AS BRAINLIEST!!! AS SOON AS POSSIBLE (I ONLY HAVE LIKE 10 MINITES LEFT)
    11·1 answer
  • Which shows all the like terms in the expression?
    11·2 answers
  • Pohgxeicucorcbuebcoeubceubcougcurevci2cvirvcucbkbc3rvrvr3vvvrvrvvvvv
    12·2 answers
  • Based on these segment lengths, which group of segments cannot form a triangle? a. 12, 7, 8 b. 8, 7, 13 c. 1, 2, 3 d. 80, 140, 7
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!