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const2013 [10]
3 years ago
7

Levi invested $5,300 in an account paying an interest rate of 2.4% compounded daily. Assuming no deposits or withdrawals are mad

e, how much money, to the nearest cent, would be in the account after 6 years?
Mathematics
1 answer:
suter [353]3 years ago
5 0

Answer: $6,120.86

Step-by-step explanation:

Formula to calculate the accumulated amount in n years (compounded daily)  is given by :-

A=P(1+\dfrac{r}{365})^{365\times n}

P= Initial amount

r= Rate of interest ( in decimal)

As per given , we ahve

P= $5300

r= 2.4%=0.024

n= 6 years

Put these values in formula , we get

A=5300(1+\dfrac{0.024}{365})^{365\times6}\\\Rightarrow\ A=5300(1.00006575342)^{2190}\\\Rightarrow\ A=6120.85673631\approx6120.86

Hence, there would be $6,120.86 in the account after 6 years.

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What's the area of this rectangle?
Bess [88]

well, the assumption is that is a rectangle, namely it has two equal pairs, so we can just find the length of one of the pairs to get the dimensions.

hmmmm let's say let's get the length of the segment at (-1,-3), (1,3) for its length

and

the length of the segment at (-1, -3), (-4, -2) for its width

\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{length}{L}=\sqrt{[1-(-1)]^2+[3-(-3)]^2}\implies L=\sqrt{(1+1)^2+(3+3)^2} \\\\\\ L=\sqrt{4+36}\implies L=\sqrt{40} \\\\[-0.35em] ~\dotfill

\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{width}{w}=\sqrt{[-4-(-1)]^2+[-2-(-3)]^2}\implies w=\sqrt{(-4+1)^2+(-2+3)^2} \\\\\\ w=\sqrt{9+1}\implies w=\sqrt{10} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the rectangle}}{A=Lw}\implies \sqrt{40}\cdot \sqrt{10}\implies \sqrt{400}\implies \boxed{20}

7 0
2 years ago
Complete the function digits(n) that returns how many digits the number has. For example: 25 has 2 digits and 144 has 3 digits
ss7ja [257]

Answer:

Step-by-step explanation:

We can get this done by using the code

def digits(n):

count = 0

if n == 0:

return 1

while (n > 0):

count += 1

n= n//10

return count

Also, another way of putting it is by saying

def digits(n):

return len(str(n))

------------------------------------------

print(digits(25)) # Should print 2

print(digits(144)) # Should print 3

print(digits(1000)) # Should print 4

print(digits(0)) # Should print 1

Doing this way, we've told the system to count the number of figures that exist in the number. If it's 1000 to 9999, then it records it as 4 digits. If it's 100 - 999, then it records it as 3 digits. If it's 10 - 99, it records as 2 digits. If it's 0 - 9, then it has to record it as a single digit.

Thanks

3 0
2 years ago
Which postulate or theorem proves that these two triangles are
Aleksandr-060686 [28]

Answer: O AAS Congruence Theorem is your answer

Step-by-step explanation:   plz give brainliest

4 0
2 years ago
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Julli [10]

Answer:

D. (6,3)

Step-by-step explanation:

To the find which point can be located on the line you will have to find the point-slope form

The formula for point-slope form is y=mx+b

m is slope

b is y-intercept

Since we already know the slope we can just replace it:

y=1/2x+b

Now we need to find the y-intercept

We can do this by distributing them with (4,2)

As you remember in point the digits are in x and y

(x,y) so we can tell that 4 is x and 2 is y

Now we can substitute x with 4 and y with 2

2=1/2(4)+b

Multiply 1/2 and 4

which is 2

2=2+b

Thus b=0

So the slope intercept form is y=1/2x

Now we can substitute the other points:

For (5,2):

2=5/2

Which is incorrect since 2 does not equal 5/2

For (2,3):

3=1/2(2)

Which is

3=1

Which is incorrect since 3 does not equal 1

For (3,4)

4=1/2(3)

Which is

4=3/2

Which is incorrect since 4 does not equal 3/2

For (6,3)

3=1/2(6)

Which is

3=3

Which is correct since 3 does equal to 3

Hope this helps!

8 0
2 years ago
Which expressions are equivalent to 7b(3+c) ?
Alex777 [14]

Answer:

The correct answer is B- 21b+7bc

Step-by-step explanation:

7b(3+c)

(7b)(3+c)

(7b)(3)+(7b)(c)

21b+7bc

4 0
3 years ago
Read 2 more answers
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