Answer:
x = -3/8
Step-by-step explanation:
4(3 - 2x) = 15
Distribute
12 -8x = 15
Subtract 12 from each side
12-8x-12 =15-12
-8x =3
Divide by -8
-8x/-8 = 3/-8
x = -3/8
Answer:
$13,450
Step-by-step explanation:
The fixed costs of production, are the costs incurred that are independent from the production volume, that is, regardless of how many spinners the company produces, those costs will remain the same. If 'x' is the number of spinners produced, interpreting the cost function, we can see that it costs $1.28 to produce each spinner and that there is a cost that does not rely on production of $13,450. Therefore, the fixed cost of production is $13,450.
The inequality is 4 ≥ x/2.1, and the answer is 8.4 ≥ x (or x ≤ 8.4).
To solve this, we multiply both sides by 2.1:
4*2.1 ≥ x
8.4 ≥ x.
Answer:
Step-by-step explanation:
A geometric sequence is a sequence in which the successive terms increase or decrease by a common ratio. The formula for the nth term of a geometric sequence is expressed as follows
Tn = ar^(n - 1)
Where
Tn represents the value of the nth term of the sequence
a represents the first term of the sequence.
n represents the number of terms.
From the information given,
r = 1/3
T3 = - 81
n = 3
Therefore,
- 81 = a× 1/3^(3 - 1)
-81 = a × (1/3)^2
-81 = a/9
a = -81 × 9 = - 729
The exponential equation for this sequence is written as
Tn = - 729 * (1/3)^(n-1)
Answer:
C. between 5 and 6 days
Step-by-step explanation:
divide 1611 by 305 and the answer is 5.28196721311. meaning it will take a little over 5 days to get to wherever he is going.