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Marta_Voda [28]
4 years ago
13

Suppose you deposit $1200 into a savings account that compounds interest continuously at 3.9%. You left your money in the accoun

t to grow for 10 years. How much money did you have in the account at the end of the ten year time period?
Mathematics
1 answer:
kodGreya [7K]4 years ago
4 0

Answer: you would have $1772 at the end of 10 years.

Step-by-step explanation:

The formula for continuously compounded interest is

A = P x e (r x t)

Where

A represents the future value of the investment after t years.

P represents the present value or initial amount invested

r represents the interest rate

t represents the time in years for which the investment was made.

e is the mathematical constant approximated as 2.7183.

From the information given,

P = $1200

r = 3.9% = 3.9/100 = 0.039

t = 10 years

Therefore,

A = 1200 x 2.7183^(0.039 x 10)

A = 1200 x 2.7183^(0.39)

A = $1772 to the nearest dollar

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an algebra teacher drove by a farmyard full of chickens and pigs.the teacher happened to notice that there were a totals of 100
LiRa [457]
I'll be honest, this is a pretty interesting question. I've never seen anything like it before!

We can start off by making equations with the given. If there are 100 heads, that means that the total number of chickens and pigs combined is 100. Thus, we can form our first equation:

p + c = 100
('p' represents number of pigs, and 'c' represents number of chickens)

We also know that there are 270 legs total. Since chickens have 2 and pigs have 4, we can make the following equation:
2c + 4p = 270

I suppose the quickest way to solve for this equation is to use the subtraction method. Put the equations on top of each other:

2c + 4p = 270
c + p = 100
___________
Multiply the bottom equation by -2;

2c + 4p = 270
-2c -2p = 100
____________
"Add" these two equations together:

2c + 4p = 270
-2c -2p = -200
___________
2p = 70

Divide both sides by 2:
p = 35

Ah, finally. Now that we know that there are 35 pigs, input this variable into the first equation to find the number of chickens:

c + 35 = 100
Subtract:
c = 65

There are 35 pigs and 65 chickens
-T.B.
3 0
4 years ago
Find the values of x and y that satisfy the equation.
HACTEHA [7]

Answer:

x=-5-2yi/3+4i

y=3xi/2+6+15i/2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

5 0
3 years ago
Calculate the volume of the cylinder, where a = 18 and b = 11. Use 3.14 for pi and round your answer to the nearest tenth.
cupoosta [38]

Answer:

Volume of cylinder =2797.7

Step-by-step explanation:

Let a be diameter and b the height of the cylinder

Then\ radius(r)=\frac{diamater\ (a)}{2}\\\\r=\frac{18}{2}\\\\r=9

Volume of cylinder =\pi\times(radius)^2\times(height)

=\pi\times(9)^2\times11\ \ \ \ \ \ (\pi=3.14)\\\\=3.14\times9\times9\times11\\\\=2797.74\\\\\approx2797.7

6 0
3 years ago
5 over 10 + 3 over 100 equals?
Shalnov [3]
The answer is 53 over 100
7 0
3 years ago
What is the 3rd terms of the sequence:<br> f(1)=-3, f(n)= f(n-1)+5
natima [27]

Answer:

f(3) = 7

Step-by-step explanation:

Using the recursive formula and f(1) = - 3 , then

f(2) = f(1) + 5 = - 3 + 5 = 2

f(3) = f(2) + 5 = 2 + 5 = 7

4 0
3 years ago
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