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2 years ago

Cynthia invests some money in a bank which pays

Mathematics

1 answer:

USPshnik [31]2 years ago

4 0

Let ,Cynthia invested $x

Rate = 5%per year

time = 3 year

Amount

A= P(1+r/100)^t

8000=x(1+5/100)^3

8000=x(21/20)^3

x= (8000x8000)/9261

x=6910.7$

Therefore she can invest =$6910.7 =5322.14 pound

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Sergeeva-Olga [200]

The cost of the sheets is less for the second example, the second example is the better deal.

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2 years ago

Using this formula, what is the acceleration of an object with F = 7.92 newtons and m = 3.6 kilograms? Express your answer to th

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We have to use the following formula which is

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3 years ago

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faust18 [17]

ANSWER

The general solution is $86+280n$ , where $n$ is an integer

<u>EXPLANATION</u>

In order to solve the linear congruence;

$33x \equiv 38(mod\:280)$

We need to determine the inverse of $33$ (which is a Bézout coefficient for 33).

To do that we must first use the Euclidean Algorithm to verify the existence of the inverse by showing that;

$gcd(33,\:280)=1$

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The greatest common divisor is the last remainder before the remainder of zero.

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We now express this gcd of 1 as a linear combination of 33 and 280.

We can achieve this by making all the non zero remainders the subject and making a backward substitution.

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Equation (2) in equation (1) gives,

$1=33-2\times (280-8\times33)$

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The above linear combination tells us that $17$ is the inverse of $33$ .

Now we multiply both sides of our congruence relation by $17$ .

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This implies that;

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$x \equiv 86$ .

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