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nadezda [96]
1 year ago
12

Mathew deposits 400800.00 kina with the bank which offers 5½% interest per annum. calculate the interest earned after four years

if it is compounded every three months?
Mathematics
1 answer:
Sati [7]1 year ago
4 0

Solution

For this case we can use the following formula:

A=P(1+\frac{r}{n})^{nt}

Where:

P= 400800 = present value

A= future value

r= 0.055 interest rate

n= 4, number of times that the interest is compund in a year (quarterly)

t= 4 years

Replacing we got:

A=400800(1+\frac{0.055}{4})^{4\cdot4}=498679.58

then the interest would be:

I=A-P=498679.58-400800=97879.58

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Find the volume of the solid generated when R​ (shaded region) is revolved about the given line. x=6−3sec y​, x=6​, y= π 3​, and
Dmitrij [34]

Answer:

V=9\pi\sqrt{3}

Step-by-step explanation:

In order to solve this problem we must start by graphing the given function and finding the differential area we will use to set our integral up. (See attached picture).

The formula we will use for this problem is the following:

V=\int\limits^b_a {\pi r^{2}} \, dy

where:

r=6-(6-3 sec(y))

r=3 sec(y)

a=0

b=\frac{\pi}{3}

so the volume becomes:

V=\int\limits^\frac{\pi}{3}_0 {\pi (3 sec(y))^{2}} \, dy

This can be simplified to:

V=\int\limits^\frac{\pi}{3}_0 {9\pi sec^{2}(y)} \, dy

and the integral can be rewritten like this:

V=9\pi\int\limits^\frac{\pi}{3}_0 {sec^{2}(y)} \, dy

which is a standard integral so we solve it to:

V=9\pi[tan y]\limits^\frac{\pi}{3}_0

so we get:

V=9\pi[tan \frac{\pi}{3} - tan 0]

which yields:

V=9\pi\sqrt{3}]

6 0
3 years ago
I need help on these two questions
Ray Of Light [21]

Answer:

56

Step-by-step explanation:

8 0
3 years ago
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Question 2
Dima020 [189]

Answer:

1 is answer

Step-by-step explanation:

2*3/5*3___6/5

7 0
2 years ago
Question 9 of 10
Aleks04 [339]

Answer:

A is the answer

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4 0
2 years ago
So 13 divided by 3 is 4 but where is the 4 coming from because 4 groups of 3 is 12 so 13 minus 12 is 1 so how dose the 4 make it
Crazy boy [7]
13/3= 4.25 because.....



13-12 is 1.

SO:


When you have your problem  set up, you have 4, and then a 1 left over. You turn it into a fraction.


Make 4 and 1/4, then put it as a mixed number, 4 1/4



or you can keep dividing by adding a decimal then zeroes and keep solving until you get 4.25 which is equivalent to 4 1/4
3 0
3 years ago
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