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Setler [38]
3 years ago
11

Given the linear equation 4x +6y - 9 =0, another linear equation in two variables such that the geometrical representation of th

e pair(s),so formed will be consistent is: 8. (i) 2x+ 3y - 9=0 (ii) 5x -6y - 9=0 (iii) 8x+ I 2y -18=0 (iv) l 2x+ 18y -18=0 a) Only (ii) and (iii) b) None of the above c) All the above d) Only (i) and (iv)​
Mathematics
1 answer:
Kisachek [45]3 years ago
7 0

Answer:

Step-by-step explanation:

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You might be interested in
Which expression does NOT have a value of 18?
Tema [17]
There are an infinite number of expressions whose value is not 18.
Here are a few of them:

4π

√7

cos(any angle)

sin(any angle)

(x + 12)  whenever 'x' is NOT 6


4 0
4 years ago
Ellen has recently inherited $5400, which she wants to deposit into a CD account. She has determined that her two best bets are
trapecia [35]

Answer:

Interest for case 2 is more i.e at interest rate 5.3% compounded quarterly

Step-by-step explanation:

Data provided in the question:

Principle amount = $5400

let us calculate the interest for t = 1 year

Case 1:

Rate of interest, r = 4.1%

Compounded semi-annually i.e number of periods, n = 2

Therefore,

Interest = Principle × \left( 1 + \frac{r}{n} \right)^{\Large{n\times t}} - Principle

on substituting the respective values, we get

Interest = $5400 × \left( 1 + \frac{0.041}{2} \right)^{\Large{2\times1}} - $5400

or

Interest = $5400 × 1.0205² - $5400

or

Interest = $5623.67 - $5400

= $223.67

Case 2:

Rate of interest, r = 5.3% = 0.053

Compounded quarterly i.e number of periods, n = 4

Therefore,

Interest = Principle × \left( 1 + \frac{r}{n} \right)^{\Large{n\times t}} - Principle

on substituting the respective values, we get

Interest = $5400 × \left( 1 + \frac{0.053}{4} \right)^{\Large{4\times1}} - $5400

or

Interest = $5400 × 1.01325⁴ - $5400

or

Interest = $5691.94 - $5400

= $291.94

Hence,

interest for case 2 is more i.e at interest rate 5.3% compounded quarterly

6 0
3 years ago
Find the 8th term in the following geometric sequence. Round your answer to the nearest hundredth. 27/375, 9/75,3/15,1/3,....
Nesterboy [21]

Answer:

  2.57

Step-by-step explanation:

The common ratio of this sequence is ...

  (1/3)/(3/15) = (1/3)/(1/5) = 5/3

Each additional term is 5/3 times the previous one, so the 8th term will be (5/3)^4 times the 4th term (the last one given). It is ...

  (1/3)·(5/3)^4 = 625/243 ≈ 2.57

_____

The generic n-th term (an) is ...

  an = a1·r^(n-1)

where a1 is the first term and r is the common ratio. We can make use of this formula to find the 8th term:

  a8 = (27/375)·(5/3)^7 = (3^3/3^7)·(5^7/(3·5^3)) = 5^4/3^5 = 625/243 ≈ 2.57

7 0
3 years ago
What is the slope intercept form of y= -2
Mashcka [7]

The slope-intercept form: y = mx + b

(m - slope, b - y-intercept)

We have y = -2. It's the slope intercept form where m = 0 and b = -2.

y = -2 → y = 0x - 2

8 0
3 years ago
A stores daily average sales during its first year in 1991 were $345. Since then, the average daily sales have increased about $
lbvjy [14]

Answer:

d

Step-by-step explanation:

4 0
2 years ago
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