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Veseljchak [2.6K]
2 years ago
12

An account is opened with an initial deposit of $100 and earns 3.0% interest compounded monthly. What will the account be worth

in 25 years? Round your answer to the nearest dollar.
Mathematics
1 answer:
Roman55 [17]2 years ago
5 0

Answer:

$175 dollars

Step-by-step explanation:

3% of 100 is 3

3*25 =75

100+75=175

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For the arithmetic sequence 42, 32, 22, 12... find the 18th term.
Stella [2.4K]

Answer:

The18th term of the given sequence is -128

Explanation:

To find the 18th term of the sequence:

42, 32, 22, 12, ..., we need to find the nth term of the sequence first.

The nth term of a sequence is given be the formula:

T_n=a+(n-1)d

Where a is the first term, and d is the common difference.

Here, a = 42, d = 32 - 42 = -10

\begin{gathered} T_n=42+(n-1)(-10) \\ =42-10n+10 \\ T_n=52-10n \end{gathered}

To find the 18th terem, substitute n = 18 into the nth term

\begin{gathered} T_{18}=52-10(18) \\ =52-180 \\ =-128 \end{gathered}

7 0
1 year ago
How do you solve sin (5pi/3) without a calculator?
Savatey [412]

very simple, we use the formula sin(a+b)=sinacosb + sinbcosa and sin(20)=2sinacosa

5pi = 2pi/3+3pi/3,

First, we use sin(a+b)=sinacosb + sinbcosa

sin(5pi/3)=sin(2pi/3+3pi/3)= sin(2pi/3+pi)= sin(2pi/3)cos(pi) +sin(pi)cos(2pi/3)

but we know that sin(pi)= 0, and cos (pi) = -1, so sin(5pi/3)= - sin(2pi/3)

now, use sin(2a)=2sinacosa, sin(5pi/3)= - sin(2pi/3)= -2sin(pi/3)cos(pi/3)

sin<span>(5pi/3)=  -2sin(pi/3)cos(pi/3)</span>

<span>sin(pi/3)= 0.86, cos(pi/3)=0.5, finally we have   </span>sin<span>(5pi/3)=  -0.86 x 0.5= -0.43</span>

5 0
3 years ago
Read 2 more answers
2 and 5. What is the LCM?
Masja [62]
Well, first of all, LCM means Lowest Common Multiple. So you have to write out the factors of each of the numbers. So that will be;
2= 2, 4, 6, 8, 10, 12, 14, 16, 18, 20
5=5, 10, 15, 20
  So now, you have to pick out the numbers that are common to both numbers. So;
10, 20
  10 and 20 are the only common numbers. So you have to look for the lowest common number. And that is 10. So the LCM is 10.. Hope i helped. Have a nice day. 
5 0
2 years ago
What is the answer to the question?
taurus [48]
A=55 hope I helped :)
7 0
3 years ago
Ron's salary is 2 times Mike's salary. Together they earn $441 per week. How much does each boy earn per week?
iris [78.8K]
Mike´s salary=x
Ron´s salary=2x
We can suggest the following equation:
x+2x=441
3x=441
x=441/3
x=147

Mike´s salary=147
Ron´s salary=2x=2(147)=294

Answer: Ron´s salary is $294 and Mike´s salry is $147.
4 0
3 years ago
Read 2 more answers
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