Answer:
$12000 at 5%
$27000 at 6.5%.
Step-by-step explanation:
Let x represent amount invested at 5% and y represent amount invested at 6.5%.
We have been given that a combined total of 39000 is invested in two bonds. We can represent this information in an equation as:
We are also told that the annual interest rate is 2355.00. We can represent this information in an equation as:
Upon substituting equation (1) in equation (2), we will get:
Therefore, an amount of $12,000 is invested at 5%.
Upon substituting in equation (1), we will get:
Therefore, an amount of $27,000 is invested at 6.5%.
Answer:
3. x=16
4. x=51
Step-by-step explanation:
3. 3x-8=x+24
2x=32
x=16
4. 2/3(x+27)= 180-(3x-25)
2/3x+18=180-3x+25
11/3x=187
11x=561
x=51
Answer:
No
Step-by-step explanation:
19=19 and 4.358=4.358
Answer:
- The initial value corresponds to the y value when x = 0
Step-by-step explanation:
Since the graph is given, it is unnecessary to "finish the line." It is only necessary to read the value of y from the graph where x=0.
Answer:
Midpoint (-2,4)
distance nearest tenth = 8.9
The approximate distance = 9
Step-by-step explanation:
Formulas
PQ midpoint = (x2 + x1)/2, (y2 + y1)/2
distance d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )
Givens
x2 = -4
x1 = 0
y2 = 1
y1 = 7
Solution
M(PQ) = (-4+0)/2, (1 + 7)/2
M(PQ) = -2, 4
The midpoint is -2,4
The distance = sqrt( (4 - 0)^2 + (1 + 7)^2 )
The distance = sqrt(16 + 64)
The distance = sqrt(80)
The distance = 4√5 exactly
The distance = 8.94
The distance = 8.9 To the nearest tenth
Question 2
The distance is rounded to the nearest whole number which is 9.
