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deff fn [24]
3 years ago
5

How long does it take for a deposit of $900 to double at 2% compounded continuously?

Mathematics
1 answer:
nydimaria [60]3 years ago
4 0

9514 1404 393

Answer:

  • 34.6574 years
  • 34 years, 239.94 days

Step-by-step explanation:

For continuous compounding the "rule of 69" applies. That is the doubling time can be found from ...

  t = 69.3147/r . . . . where r is the interest rate in percent.

Here, r=2, so ...

  t = 69.3147/2 = 34.6574 . . . years

That's 34 years and 240 days.

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In the circle above, the length of AO is 1, and x = 88º. What is the area of sector AOB?
max2010maxim [7]
The complete question in the attached figure

we know that
[area of a circle]=pi*r²
for r=1 unit
[area of a circle]=pi*1²---------> pi units²

if the area a full circle of 360°--------------> is pi
the area of sector 88°------------------------> X
X=88*pi/360--------> 0.77 units²

the answer is
<span> the area of sector AOB is 0.77 units</span>²

3 0
3 years ago
Read 2 more answers
For which value of x is the figure a rhombus?
zysi [14]

Answer:

D. x = 7

Step-by-step explanation:

The labeled angles are the acute angles of a right triangle, so they are complementary. Their measures add up to 90 deg.

8x + 7 + 3x + 6 = 90

11x + 13 = 90

11x = 77

x = 7

3 0
3 years ago
Read 2 more answers
¿es cierto que si se suman los resultados de la tabla del con los de la tabla del 5 se obtienen los resultados del 7 ¿porque
SSSSS [86.1K]

Answer:

Efectivamente, si se suman los resultados de la tabla del 2 con los de la tabla del 5 se obtienen los resultados de la tabla del 7.

Step-by-step explanation:

Esto es así porque 7 puede formarse a través de diversas sumas (7+0, 6+1, 5+2 o 4+3). Por ende, en el caso de las tablas de multiplicaciones, decir, por ejemplo, 7 x 3, es igual a decir 5 x 3 + 2 x3, dado que 5 + 2 es igual a 7.

Entonces, siguiendo el ejemplo, dado que 7 x 3 es igual a 21, la suma de 5 x 3 igual a 15 y 2 x 3 igual a 6 es 21 (15 + 6), con lo cual la afirmación es correcta.

5 0
3 years ago
How many integers between 100 and 999 (inclusive) have distinct digits
daser333 [38]

Answer:

648

Step-by-step explanation:

Running this in Python, with the code as follows,

import math

cur_numbers = [0] * 3

num = 0

for i in range(100, 1000):

   cur_numbers[2] = i % 10

   i = math.floor(i/10)

   cur_numbers[1] = i % 10

   i = math.floor(i/10)

   cur_numbers[0] = i % 10

   if(len(set(cur_numbers)) == 3):

       num += 1

       print(cur_numbers)

       

print(num), we get 648 as our answer.

Another way to solve this is as follows:

There are 9 possibilities for the hundreds digit (1-9). Then, there are 10 possibilities for the tens digit, but we subtract 1 because it can't be the 1 same digit as the hundreds digit. For the ones digit, there are 10 possibilities, but we subtract 1 because it can't be the same as the hundreds digit and another 1 because it can't be the same as the tens digit. Multiplying these out, we have

9 possibilities for the hundreds digit x 9 possibilities for the tens digit x 8 possibilities for the ones digit  = 648

5 0
3 years ago
A. 29<br> B. 24<br> C. 20<br> D. 14
slava [35]
The answer is C. Hope that helps
3 0
3 years ago
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