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3 years ago

Solve using linear combination 5x+2y=10 3x+2y=6

Mathematics

1 answer:

defon3 years ago

8 0

Answer:

x=2, y=0

Step-by-step explanation:

2y=6-3x

5x+(6-3x)=10

2x+6=10

2x+4

x=2

Now plug in x to find y

5(2)+2y=10

10+2y=10

y=0

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RS 3560 becomes RS 4272 in 8 years at S.I. What will be the simple interest on Rs 6480 in 14 years at the same rate of interest?

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Answer:

$RS\ 8,748$

Step-by-step explanation:

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

step 1

Find the rate of interest

in this problem we have

$t=8\ years\\ P=RS\ 3,560\\ A=RS\ 4,272\\r=?$

substitute in the formula above

$4,272=3,560(1+8r)$

solve for r

$8r=(4,272/3,560)-1$

$r=[(4,272/3,560)-1]/8$

$r=0.025$

convert to percentage

$r=0.025*100=2.5\%$

step 2

What will be the simple interest on Rs 6480 in 14 years at the same rate of interest?

we have

$t=14\ years\\ P=RS\ 6,480\\ A=?\\r=0.025$

substitute in the formula above

$A=6,480(1+0.025*14)$

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$A=RS\ 8,748$

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