1. 79
2. 330
3. 452
4. 1212
5. 351
6. 202
7. 238
Answer:
Please check the explanation.
Step-by-step explanation:
We know that when a consistent system has infinite solutions, then the graphs of the equations are exactly the same. In other words, these equations are called dependent equations.
All points of dependent equations share the same slope and same y-intercept.
For example,
6x-2y = 18
9x-3y=27
represent the dependent equations.
Writing both equations in slope-intercept form
y=mx+c
where m is the slope and c is the y-intercept
Now
6x-2y=18
2y = 6x-18
Divide both sides by 2
y = 3x - 9
Thus, the slope = 3 and y-intercept = b = -9
now
9x-3y=27
3y = 9x-27
Divide both sides by 3
y = 3x - 9
Thus, the slope = 3 and y-intercept = b = -9
Therefore, both equations have the same slope and y-intercept. Their graphs are the same. Hence, they are called dependent equations.
Answer:
217+x=975
Step-by-step explanation:
he has 217 dollars from the beginning than he earned X amount of dollars added to the 217 to get 975
3 is in the tens and 1 is in the ones. To explain more easily... 30+1 is 31.<span />
Answer:
P = $2448.89
P ~= $2,449
He need to deposit $2,449
Step-by-step explanation:
Given:
Interest rate r= 7% = 0.07
Number of years n = 3 years
Future value that should be meet A = $3000
We need to calculate the initial investment (Principal P). Using the compound interest formula:
A = P(1+r)^n
P = A/(1+r)^n
Substituting the values of A, r, n, we have;
P = 3000/(1+0.07)^3
P = $2448.89
P ~= $2,449
