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Paul [167]
3 years ago
7

State whether the lines are intersecting parallel or coincident. 3x+2y=19 4x-5y=10

Mathematics
2 answers:
marishachu [46]3 years ago
8 0
They are intersecting because if you take the equaton 3x+2
Yuki888 [10]3 years ago
7 0
We are going to rearange both of these into slope intercept form.
First: 2y = -3x + 19 ->  y = -1.5x + 9.5
Next: -5y = -4x + 10  ->  y = .8x - 2
Finally: Because the two slopes are not the same, we know the lines are intersecting.
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Sally invests £8000 in a savings account. The account pays 2.8% compound interest per year work out the value of her investment
Alborosie

Answer: the value of her investment after 4 years is £8934.3

Step-by-step explanation:

The formula for determining compound interest is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount invested.

t represents the duration of the investment in years.

From the information given,

P = 8000

r = 2.8% = 2.8/100 = 0.028

n = 1 because it was compounded once in a year.

t = 4 years

Therefore,

A = 8000(1+0.028/1)^1 × 4

A = 8000(1+0.028)^4

A = 8000(1.028)^4

A = £8934.3 to the the nearest penny

6 0
3 years ago
PLEASE HELP ME!! I DO NOT UNDERSTAND PLEASE SHOW WORK THANK YOU!!
Oksanka [162]

Answer:

= 10x² + 9x³

Step-by-step explanation:

I'm assuming you mean question 19

3x² + 5x³ + 7x² + 4x³    (rearrange to group like terms)

=3x² + 7x² + 5x³ + 4x³  (factor out common powers)

= (3+7)x² + (5+4)x³

= 10x² + 9x³

4 0
3 years ago
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