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Korolek [52]
3 years ago
5

How much would $600 be worth after 10 years, if it were invested at 4% interest compounded continuously? (Use the formula below

and round your answer to the nearest cent.)
A(t)=P•e^rt
Mathematics
1 answer:
jenyasd209 [6]3 years ago
4 0

Answer:

$895.09

Step-by-step explanation:

Applying the given formula:

A = $600e^(0.04*10), or

   = $895.09

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The measures of the angles of a convex polygon form an arithmetic sequence. The least measurement in the sequence is 128º. The g
Over [174]
\bf \qquad \qquad \textit{sum of a finite arithmetic sequence}\\\\
S_n=\cfrac{n}{2}(a_1+a_n)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\ a_n=n^{th}~value\\
----------\\
\stackrel{least}{a_1}=128\\\\
\stackrel{greatest}{a_n}=172
\end{cases}

\bf S_n=\cfrac{n}{2}(128~+~172)\implies S_n=\cfrac{n}{2}(300)\implies S_n=150n
\\\\\\
\textit{but we also know that sum of all interior angles is }180(n-2)
\\\\\\
\stackrel{\textit{sum of the angles}}{S_n}=\stackrel{\textit{sum of the angles}}{180(n-2)}=150n
\\\\\\
180n-360=150n\implies 30n=360\implies n=\cfrac{360}{30}\implies n=12
7 0
3 years ago
Read 2 more answers
Solve 3(x+1)=7(x-2)-3
tia_tia [17]

Answer:

x = 5

Step-by-step explanation:

To solve this, we just have to the multiplication and do the simplification (adding up the similar terms) afterwards:

3(x+1)=7(x-2)-3 becomes...

3x + 3 = 7x - 14 - 3

3x + 3 = 7x -17

Then we move all x's on one side and all plain numbers on the other side, we'll move the x's to the right since there's a bigger value there, and will move the plain numbers on the left side, by subtracting 3x and by adding 17 on both sides

3x + 3 - 3x + 17 = 7x -17 + 17 - 3x

20 = 4x

If we isolate x alone we have:

20/4 = x or x = 5

7 0
3 years ago
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A line passes through (1,-1) and (3,5) . What is the equation of the line in slope-intercept form?
Mumz [18]

(1,-1) and (3,5)

Find slope first

y=mx+b

slope is also m

b is y-intercept

slope = y2-y1/x2-x1

x1=1

x2=3

y1=-1

y2=5

5-(-1)/(3)-(1)

6/2=3

y=3x+b

use (1,-1) into y=3x+b ( using substitution method)

-1=3(1)+b

-1=3+b

Move 3 to the other side

Sign changes from +3 to -3

-1-3+3-3+b

b=-4

Answer: C.) Y = 3x-4

3 0
3 years ago
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–4x-2y=-2<br> x-2y=9<br> what do you get if you subtract the second from the first
kirill115 [55]

Answer:

-4×-2y=2

-4×+8y=-8

6y=6

y=1 then you the value of y and to put in any one equestion

7 0
2 years ago
Omg pls help me i only have a few min left imma cry
hodyreva [135]

Answer:

option B

Step-by-step explanation:

since DA and CB are equal and originate from same line segmnet, they are parallel, so angle D and angle C are equal, angle A and anfle B are equal and angle E is the same for both,

4 0
3 years ago
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