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2 years ago

What is the value of the missing number in the sequence below? 4, 12, 36,___, 324, 972, 2916

1 answer:

7 0

The sequence increases by multiplying the previous number by 3. 4*3=12 12*3=36 36*3=108 and so on. The missing number is 108

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You deposit $200 each month into an account earning 3% interest compounded monthly.

zvonat [6]

The total amount of money accrued ( principal and interest ) in 35 years is $570.78.

<h3>What is the total amount accrued?</h3>

The formula for compound interest is expressed as;

A = P( 1 + r/t )^(n×t)

Given the data in the question;

Principal P = $200
Rate r = 3% = 3/100 = 0.03
Compounded monthly n = 12
Time t = 35
Amount accrued in 35 years A = ?

Plug the given values into the equation above.

A = P( 1 + r/n )^(n×t)

A = 200( 1 + 0.03/12 )^(12×35)

A = 200( 1 + 0.0025 )^(420)

A = 200( 1.0025 )^(420)

A = 200( 2.85390914 )

A = $570.78

Therefore, the total amount of money accrued ( principal and interest ) in 35 years is $570.78.

Learn more about compound interest here: brainly.com/question/27128740

#SPJ1

7 0

1 year ago

What is the scientific notation for 3800

BigorU [14]

3.8 x 10²

im pretty sure thats scientific notation

8 0

2 years ago

Show that the number 6 is a rational number by finding a ratio of two integers equal to the number.

nydimaria [60]

I think this is right

-2 :-4

is the answer

Hope this helps : )

4 0

2 years ago

2. Find the median of the data set: 15, 6, 7, 10, 8, 9, 8, 14, 13.<br><br>please help asap

dangina [55]

To find the median the first thing we need to do is organize the numbers from smallest to largest:

6 7 8 8 9 10 13 14 15

Then if the amount of numbers is odd, the median is the number which is in the middle. In this case the middle number is 9.

6 7 8 8 9 10 13 14 15

Hope this helps mate! Best of luck to you. :)

4 0

2 years ago

What is the horizontal asymptote for y(t) for the differential equation dy dt equals the product of 2 times y and the quantity 1

marta [7]

First, we need to solve the differential equation.
$\frac{d}{dt}\left(y\right)=2y\left(1-\frac{y}{8}\right)$
This a separable ODE. We can rewrite it like this:
$-\frac{4}{y^2-8y}{dy}=dt$
Now we integrate both sides.
$\int \:-\frac{4}{y^2-8y}dy=\int \:dt$
We get:
$\frac{1}{2}\ln \left|\frac{y-4}{4}+1\right|-\frac{1}{2}\ln \left|\frac{y-4}{4}-1\right|=t+c_1$
When we solve for y we get our solution:
$y=\frac{8e^{c_1+2t}}{e^{c_1+2t}-1}$
To find out if we have any horizontal asymptotes we must find the limits as x goes to infinity and minus infinity.
It is easy to see that when x goes to minus infinity our function goes to zero.
When x goes to plus infinity we have the following:
$$$\lim_{x\to\infty} f(x)$$=y=\frac{8e^{c_1+\infty}}{e^{c_1+\infty}-1} = 8$
When you are calculating limits like this you always look at the fastest growing function in denominator and numerator and then act like they are constants.
So our asymptote is at y=8.

3 0

2 years ago