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LUCKY_DIMON [66]
4 years ago
6

How much would $200 invested at 6% interest compounded annually be

Mathematics
1 answer:
Whitepunk [10]4 years ago
6 0

Answer:

$283.70

Step-by-step explanation:

a = p {(1  +  \frac{r}{n} )}^{nt}

Where:

a = worth

p = principal (original amount)

r = interest rate (decimal)

n = repetitions per annum (1 for yearly interest)

t = number of years

a = 200 {(1 +  \frac{0.06}{1} )}^{6}  =  \\  = 200 {(1 + 0.06)}^{6}  =  \\  = 200 {(1.06)}^{6}  =  \\  = 283.70

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7 0
3 years ago
The greater of is 7 more than the lesser. three times the greater number is 5 more than r4 times the lesser number. Find the num
Ilya [14]
<h2>Steps:</h2>

(Let x = greater number and y = lesser number)

So this question is asking us for a system of equations. Using the info they provide, we can form these two equations:

x=y+7\ \textsf{("The greater of the numbers is 7 more than the lesser.")}\\3x=4y+5\ \textsf{("Three times the greater number is 5 more than 4 times the lesser number.")}

So for this, we will be using the substitution method. Since we know that x = y + 7, substitute x with (y + 7) in the second equation as such:

3(y+7)=4y+5

From here we can solve for y. Firstly, distribute 3 so that it multiplies with y and 7:

3y+21=4y+5

Next, subtract 3y on both sides of the equation:

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Lastly, subtract 5 on both sides of the equation:

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Now that we know the value of y, we can substitute it into either equation to solve for x:

x=16+7\\x=23\\\\3x=4(16)+5\\3x=64+5\\3x=69\\x=23

<h2>Answer:</h2>

<u>In short, 16 is the lesser number and 23 is the greater number.</u>

8 0
3 years ago
Calculate the gross margin if the selling price is $264 and the cost is $214
lakkis [162]

Answer:

Gross margin= $50

Step-by-step explanation:

Giving the following information:

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<u>To calculate the gross margin, we need to deduct from the selling price the unitary cost:</u>

Gross margin= selling price - unitary cost

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7 0
3 years ago
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I would assume you would do base*width*weight to get your area.
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3 years ago
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bixtya [17]

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3 0
2 years ago
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