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Mazyrski [523]
3 years ago
10

If you deposit $540 in an account that pays 6% interest compounded annually how much would be in the account after three years

Mathematics
2 answers:
yawa3891 [41]3 years ago
7 0

Answer:

A=$643.15

Step-by-step explanation:

We can use the formula

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

Now we can plug the information in the problem into the formula

A=540(1+\frac{0.06}{1} )^{(1)(3)}\\\\A=643.15

Doss [256]3 years ago
5 0

Answer:

The amount after 3 year = $ 643.15

Step-by-step explanation:

<u>Compound interest  formula:</u>

A = P[1 +R/n]^nt

Where A - amount

P - principle amount

R = rate of interest

t - number of times compounded yearly

n  number of years

<u>To find the amount after 3 years</u>

Here P = $540, R = 6%, t = 1 and n = 3 years

A = P[1 +R/n]^nt

 = 650[1 + 0.06/1]^(3*1)

 = 540[1.06]^3

 = $ 643.15

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Step-by-step explanation:

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Mrs Tan bought 4 times as many pens as notebooks and each notebook cost $8.20 more than each pen. She spent $26 more on the book
lilavasa [31]
Let x be the cost of 1 pen
then cost of 1 notebook = x + 8.20

Let y be the number of pens Tan buys
then number of notebooks Tan buys = y/4

She spent $26 more on books than on pens which means

Cost of notebooks - Cost of pens = 26
(x + 8.20) * y/4 - xy = 26

Sinplifying it

(xy + 8.20y)/4 - xy = 26
(xy + 8.20y - 4xy)/4 = 26
8.20y - 3xy = 104

She spent $394 which means

Cost of notebooks + Cost of pens = 394
(x + 8.20) * y/4 + xy = 394

Simplifying it

(xy + 8.20y)/4 + xy = 394
(xy + 8.20y + 4xy)/4 = 394
8.20y + 5xy = 1576

Now, we have two equations,

(1) 8.20y - 3xy = 104
(2) 8.20y + 5xy = 1576

Now we need to find a third equation with either x or y as the subject of any of both the previous equations.

Let's make y the subject of (2) equation

8.20y + 5xy = 1576
y(8.20 + 5X) = 1576
(3) y = 1576/(8.20 + 5x)

Let's substitute the new value of y from (3) into (1) because we rearranged (2) to from (3)

8.20y - 3xy = 104
y(8.20 - 3x) = 104
y = 104/(8.20 - 3x)
1576/(8.20 + 5x) = 104/(8.20 - 3x)
1576 * (8.20 - 3x) = 104 * (8.20 + 5x)
12923.2 - 4728x = 852.8 + 520x
12923.2 - 852.8 = 4728x + 520x
12070.4 = 5248x
12070.4/5248 = x
x = 2.3

Now find the value of y by substituting the value of x in either equation, preferably (3)

y = 1576/(8.20 + 5x)
y = 1576/(8.20 + 5 * (2.3))
y = 80

Therefore cost of 1 notebook = x + 8.20 = 2.3 + 8.20 = $10.50

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Answer:

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Step-by-step explanation:

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