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3 years ago

If the interest earned on an account after 7 years at 6% is $1785 ,what is the initial value

Mathematics

1 answer:

gayaneshka [121]3 years ago

8 0

Answer:

$4250

Step-by-step explanation:

i = prt

p = i / rt

where,

i = $1,785

r = 6% = 0.06

t = 7 years

So, we can calculate initial vale by putting the values in above equation;

p = $1,785 / (0.06 x 7)

p = $1,785 / 0.42

p = $4,250

Hence the initial value will be $4250

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<h3>Given :-</h3>

$\\$

x=y-1
x+2y=8

$\\$

$\\$

Value of x
Value of y

$\\$

<h3>Solution:-</h3>

Let say it is first equation:-

x=y-1. . . . (1)

and this is second equation:-

x+2y=8 . . . . (2)

$\\ \\$

Simplifying 1 equation:-

x = y - 1
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y = x + 1

Put this value of y in second equation.

$\\$

$\dashrightarrow \sf \: x+2y=8$

$\\$

$\dashrightarrow \sf \: x+2(x + 1)=8$

$\\$

$\dashrightarrow \sf \: x+2x +2=8$

$\\ \\$

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$\\ \\$

$\dashrightarrow \sf \: 3x=8 - 2$

$\\ \\$

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$\\ \\$

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$\\ \\$

$\dashrightarrow \sf \: x= \bf2$

$\\$

to find value of y :-

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$\\$

verification:-

$\\$

1 equation:-

x = y - 1

put value of x and y

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Hence verified!

$\\$

2 equation:-

$\\$

x+2y=8

put value of x and y

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8 = 8

LHS = RHS

Hence verified!

$\\$

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.°. value of x and y is 2 and 3 respectively

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