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3 years ago

Gene invested $500 at 8% interest compounded quarterly. how much is in the account after 1 year?

1 answer:

3 0

$5412.22

Use the formula A=P(1+r/n) to the n times t power

P= initial investment 500
r= Rate 8% change to decimal .08
n= number of times compounded which is quarterly so 4
t= time which is just 1 for one year

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One number is 4 times as large another. The sum of their reciprocals is 45/4. Find the two numbers

Reptile [31]

Let,
the numbers be "x" and "y"
According to the question,
x = 4y ......................................................equation (1)

$\frac{1}{x} + \frac{1}{y}= \frac{45}{4}$ ...................................equation (2)

Taking equation (2)
$\frac{1}{x} + \frac{1}{y}= \frac{45}{4}$

Substituting the value of "x" from equation (1), we get,

$\frac{1}{(4y)} + \frac{1}{y}= \frac{45}{4}$

$\frac{1}{4y} + \frac{1}{y}* \frac{4}{4} = \frac{45}{4}$

$\frac{1}{4y} + \frac{4}{4y}= \frac{45}{4}$

$\frac{1+4}{4y} = \frac{45}{4}$

$\frac{5}{4y} = \frac{45}{4}$

Cross multiplying, we get,

$5*4 = 45*4y$

$20 = 180y$
<u />
$\frac{20}{180} = y$

$\frac{1}{9} = y$

$y = \frac{1}{9}$

Now,
Taking equation (1)
x = 4y
Substituting the value of "y", we get

$x = 4( \frac{1}{9} )$

$x= \frac{4}{9}$

So, the numbers are $\frac{1}{9}$ and $\frac{4}{9}$

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ABCD is a square . if the coordinates of three of its vertices are A(-1,2a), B(a,2a), C(a,0), find the coordinates of D. BC is obviously 2a (it's a vertical line) then AB must be 2a (notice AB is horizontal) so BC = AC because it is a square 2a = a+1 a=1

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8 batteries cost 10 dollars how much do 6 batteries cost

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Three fifths of one sixths evaulate expression

sukhopar [10]

3/5 of 1/6 is written as

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3x1 / 5*6 = 3/30, reduces to 1/10.

The answer is 1/10.

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If i had the equation -3y=-2x+8 would i divide the 8 by -3 too?

UNO [17]

Not only you're gonna divide 8 by -3 for some reason, but you also divide all terms by -3. For instance,
(-3y = -2x + 8) / -3
(-3/-3)y = (-2/-3)x + 8/-3
y = (2/3)x - 8/3

Hope this helps.

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