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3 years ago

$500 is invested at 6%annual interest, compounded quarterly. When will the balance double?

Mathematics

1 answer:

Setler [38]3 years ago

6 0

Answer: 48 quarters or 12 years

Step-by-step explanation:

You can use the Rule of 72 to estimate the amount of time it will take for an investment to double.

It works by dividing 72 by the interest rate per period.

The rate here is 6% but this is an annual rate yet the interest is to be compounded quarterly. You need to convert this annual rate to a quarterly rate:

= 6% / 4

= 1.5% per quarter

The amount of time it will take to double is:

= 72 / 1.5

= 48 quarters

In years that would be:

= 48 / 4

= 12 years

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Arlecino [84]

Answer:

2 393/500

Step-by-step explanation:

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the line joining A(a, 3) to B(2 -3) is perpendicular to the line joining C(10,1) to B. The value of a is?

RideAnS [48]

Well, first off, let's find what is the slope of BC

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
B&({{ 2}}\quad ,&{{ -3}})\quad 
% (c,d)
C&({{ 10}}\quad ,&{{ 1}})
\end{array}
\\\\\\
% slope = m
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now, we know the slope "m" of AB is -2 then, thus

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
A&({{ a}}\quad ,&{{ 3}})\quad 
% (c,d)
B&({{ 2}}\quad ,&{{ -3}})
\end{array}
\\\\\\
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3 years ago

If k-9=5(k-3)find k

jok3333 [9.3K]

Answer:

K = 3/2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

k−9=5(k−3)

k+−9=(5)(k)+(5)(−3)(Distribute)

k+−9=5k+−15

k−9=5k−15

Step 2: Subtract 5k from both sides.

k−9−5k=5k−15−5k

−4k−9=−15

Step 3: Add 9 to both sides.

−4k−9+9=−15+9

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Step 4: Divide both sides by -4.

-4k/-4 = -6/-4

K = 3/2

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