<h3>Given :-</h3>
<h3>To find:</h3>
<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
- x +1 = y
- y = x + 1
Put this value of y in second equation.
to find value of y :-
y = x + 1
y = 2 + 1
y = 3
verification:-
1 equation:-
x = y - 1
put value of x and y
2 = 3 - 1
2 = 2
LHS = RHS
Hence verified!
2 equation:-
put value of x and y
- 2 + 2 × 3 = 8
- 2 + 6 = 8
- 8 = 8
LHS = RHS
Hence verified!
Both equation verified!
.°. value of x and y is 2 and 3 respectively
The slope is 1/7. The formula for slope is: m=y2-y1/x2-x1
Answer:
- 5.9%
Step-by-step explanation:
Data provided in the question :
Future value of the amount invested = $4,600
Principle i.e amount of purchase = $7,500
Time, n = 8 years
Now,
let the interest rate be 'i'
using compounding
$4,600 = $7,500 × (1 + i)⁸
or
0.613 = (1 + i)⁸
or
1 + i = 0.941
or
i = -0.059
or
interest rate = - 5.9%
Here negative sign means loss
Answer:
Money invested in CD account: $2000
Money Invested in Savings Bond: $4000
Step-by-step explanation:
Given
Total amount=$6000
Let
x be the amount invested in CD at 4%
And
6000-x be the remaining amount invested in savings bond at 7%
So mathematically writing
0.04x+0.07(6000-x)=360
0.04x+420-0.07x=360
-0.03x+420=360
-0.03x=360-420
-0.03x= -60
x= -60/(-0.03)
x=$2000
So the amount invested in CD is $2000.
And the amount invested in savings bond is:
=6000-x
=6000-2000
=$4000 ..
