Add 5 on both sides
Make the denominators the same
Multiply 13 on both sides
Answer:
B. $136,960.54
Step-by-step explanation:
Rate = r = 4%
Times = b = 4
Future Value = A = $315,930
No. pf Years = n = 21
Present Value = P = ?
A = P [1 + (r / b)]ⁿᵇ
$315,930 = P [1 + (0.04 / 4]²¹ ˣ ⁴
$315,930 = P [1 + 0.01]⁸⁴
$315,930 = P [1.01]⁸⁴
$315,930 = P x 2.306723
P = $315,930 / 2.306723
P = $136,960.54
Answer:
x = 2/3
DF = 10
scale factor of ΔDEF to ΔXYX is 1:3
Step-by-step explanation:
DF corresponds to XZ and DE corresponds to XY so we can set up a proportion:
6x+6/30 = 8/24
simplify 8/24 to be 1/3
6x+6/30 = 1/3
cross-multiply:
3(6x+6) = 30
18x + 18 = 30
18x = 12
x = 12/18 or 2/3
Slope = (y2 - y1)/(x2 - x1)
Let's plug in our values: (10 - 9)/(5 - - 6)
This gives us 1/11 as our slope.
Answer:
(1, 2 )
Step-by-step explanation:
x + y = 3 (subtract x from both sides )
y = 3 - x → (1)
2x - y = 0 → (2)
Substitute y = 3 - x into (2)
2x - (3 - x) = 0
2x - 3 + x = 0
3x - 3 = 0 ( add 3 to both sides )
3x = 3 ( divide both sides by 3 )
x = 1
Substitute x = 1 into (1)
y = 3 - 1 = 2
solution is (1, 2 )