What is 4 x + 3 y equals 2 + 3 x - 2 y equals 10 on a graph

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

8 0

10x = 27

<span>x = 27/10

those are the answers </span>

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You are planning a trip to Japan in the fall. You estimate that for two weeks, you will need $5,263 (This includes airfare, room

Gemiola [76]

The income that you can save from each biweekly paycheck is
.. $1626 -6.2%*1626 -1.45%*1626 -85 -225 -775 = $416.61

After 14 pay periods, you will have saved
.. 14*$416.61 = $5832.54

This is more than your estimated trip requirement.

c. $5833; yes

4 0

3 years ago

You invested money in two funds. Last year, the first fund paid a dividend of 8% and the second a dividend of 5%, and you receiv

Angelina_Jolie [31]

You invested 11000 in in 2st fund and 9000 in 2nd fund

<h3><u>Solution:</u></h3>

Given that, You invested money in two funds.

Last year, the first fund paid a dividend of 8% and the second a dividend of 5%, and you received a total of $1330.

This year, the first fund paid a 12% dividend and the second only 2%, and you received a total of $1500.

Let the amount in Fund I be $x and amount in Fund II be $ y

Then, for last year ⇒ 0.08x+0.05y=1330 ----- eqn (1)

And for this year ⇒ 0.12x+0.02y=1500 ------- eqn (2)

Multiply (1) by 2 ⇒ 0.16 x + 0.1 y = 2660

Multiply (2) by 5 ⇒ 0.6 x + 0.1 y = 7500

Subtract the two equations

(2) ⇒ 0.6x + 0.1y = 7500

(1) ⇒ 0.16x + 0.1y = 2660

(-) --------------------------------

0.44x + 0 = 4840

x = 11000

Now, from eqn (2)

0.12(11000) + 0.02y = 1500

0.02y = 1500 – 1320

0.02y = 180

y = 9000

Hence, he invested 11000 in in 2st fund and 9000 in 2nd fund

5 0

3 years ago

The angle of elevation from the top of a house to a jet flying 2 miles above the house is x radians. If d represents the horizon

alisha [4.7K]

Answer:

d = 2cot(x) or d = 2/tan(x)

Step-by-step explanation:

The vertical distance from the jet to the top of the house represents the opposite side to the 'x' angle, while the horizontal distance, d, represents the adjacent side. Since we do not know the hypotenuse, the tangent and cotangent functions are the preferable choices:

$tan (x) = \frac{2}{d}\\d = \frac{2}{tan (x) }\\cot (x) = \frac{d}{2} \\d= 2cot(x)$