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3 years ago

−2x = 4y + 6 2(2y + 3) = 3x − 5 What is the solution (x, y) to the system of equations above

Mathematics

1 answer:

Wewaii [24]3 years ago

6 0

Answer:

(1;-2)

Step-by-step explanation:

x=-2y-3

2(2y+3)=-6y-9-5

10y=-20

y=-2

x=4-3=1

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A quantity with an initial value of 6200 decays continuously at a rate of 5.5% per month. What is the value of the quantity afte

ELEN [110]

Answer:

410.32

Step-by-step explanation:

Given that the initial quantity, Q= 6200

Decay rate, r = 5.5% per month

So, the value of quantity after 1 month, $q_1 = Q- r \times Q$

$q_1 = Q(1-r)\cdots(i)$

The value of quantity after 2 months, $q_2 = q_1- r \times q_1$

$q_2 = q_1(1-r)$

From equation (i)

$q_2=Q(1-r)(1-r) \\\\q_2=Q(1-r)^2\cdots(ii)$

The value of quantity after 3 months, $q_3 = q_2- r \times q_2$

$q_3 = q_2(1-r)$

From equation (ii)

$q_3=Q(1-r)^2(1-r)$

$q_3=Q(1-r)^3$

Similarly, the value of quantity after n months,

$q_n= Q(1- r)^n$

As 4 years = 48 months, so puttion n=48 to get the value of quantity after 4 years, we have,

$q_{48}=Q(1-r)^{48}$

Putting Q=6200 and r=5.5%=0.055, we have

$q_{48}=6200(1-0.055)^{48} \\\\q_{48}=410.32$

Hence, the value of quantity after 4 years is 410.32.

4 0

3 years ago

Read 2 more answers

LOOK AT PIC PLSS TYYYYY

slava [35]

Answer:

2.52 lbs=40.32 oz

Step-by-step explanation:

I used the mass formula and I even searched it.

2.52 lbs=40.32 oz

Hope this helps! :)

7 0

2 years ago

Yolanda closed on a 20 year home loan for $83,000. she chooses to buy only 1 point at closing. by buying a point at her closing,

RUDIKE [14]

The correct answer is B) 11 years

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3 years ago

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In the diagram of circle K, tangents are drawn from point A to points B and C on the circle. If arc mBC = 96, then what is the m

rjkz [21]

Answer:

∠A = 84°

Step-by-step explanation:

Since AB and AC are tangent to the circle, ∠ABK = 90° and ∠ACK = 90°.

Angles of a quadrilateral add up to 360°, so:

∠A + 90° + 90° + 96° = 360°

∠A = 84°

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3 years ago

Solve the inequality and show your solution on a number line: −4x≥−1

kiruha [24]

*To solve an inequality, it's the same as solving an equation; isolate the variable to one side.

For this, all you need to do is divide both sides by -4. And since we are dividing by a negative, flip the inequality sign and your inequality is $x\leq\frac{1}{4}$

Now to graph this. Since x can be "equal to" 1/4 ( ≤ = less than or equal to), you will have a closed circle on 1/4. And since x can also be "less than" 1/4, the arrow will be going to the left of 1/4.

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3 years ago

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