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3 years ago

What is the value of the x-coordinate of 2x+3y=144;y-x=24

Mathematics

1 answer:

erica [24]3 years ago

3 0

The value of x - coordinate is 14.4

Solution:

Given that we have to find the x -coordinate of the system

Given system of equations are:

2x + 3y = 144 -------- eqn 1

y - x = 24 --------- eqn 2

Solve the above system of equations to find the x - coordinate

From eqn 2,

y = 24 + x ------- eqn 3

Substitute eqn 3 in eqn 1

2x + 3(24 + x) = 144

2x + 72 + 3x = 144

Add the like terms

5x + 72 = 144

5x = 144 - 72

5x = 72

Divide 72 by 5

x = 14.4

Thus the x - coordinate of the system is 14.4

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For the following amount at the given interest rate compounded continuously, find (a) the future value after 9 years, (b) the

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Answer:

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(b) The effective rate is $r_E=4.759 \:{\%}$ .

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Step-by-step explanation:

The definition of Continuous Compounding is

If a deposit of $P$ dollars is invested at a rate of interest $r$ compounded continuously for $t$ years, the compound amount is

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Applying the above formula we get that

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(b) The effective rate is given by

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Therefore,

$r_E=e^{0.0465}-1=0.04759\\r_E=4.759 \:{\%}$

(c) To find the time to reach $13,000, we must solve the equation

$13000=4700e^{0.0465\cdot t}$

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now draw each one from the radius give to the clockwise

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