Answer:
A
Step-by-step explanation:
x² - 3x - 54 = 0
x² - 9x + 6x - 54 = 0
x(x - 9) + 6(x - 9) = 0
(x - 9)(x + 6) = 0
x = -6,9
Answer:
d
Step-by-step explanation:
(7,1)
Answer:
In 5 years, you will have $1,288.48
Step-by-step explanation:
Answer:
Given sequence is not a geometric progression and there will be no common ration for this sequence.
Step-by-step explanation:
Need to determine common ration for the following geometric sequence
32, 8, 2, 12, ...
In given geometric sequence
a1 = 32, a2=8, a3=2, a4=12 ……….
Common ratio = 
Since 
so we can say that given sequence is not a geometric progression and there will no no common ration for this sequence.
Number of pounds of macadamia nuts is 8 pounds and number of pounds of almonds is 4 pounds.
<u>Step-by-step explanation:</u>
Step 1:
Given total pounds of mixture = 12 pounds, cost of macadamia nuts per pound = $9, cost of almonds per pound = $5.25, total cost of mixture per pound = $7.75.
Let number of pounds of macadamia nuts be x and number of pounds of almonds be 12-x.
Step 2:
Form an equation using the above information.
⇒ 9x + 5.25 (12-x) = 12 × 7.75
⇒ 9x + 63 - 5.25x = 93
⇒ 9x - 5.25x = 30
⇒ 3.75x = 30
⇒ x = 8
Number of macadamia nuts is 8 pounds.
Step 3:
Calculate number pounds of almonds
⇒ Number of pounds of almonds = 12 - x = 4 pounds.
