Which lists all the integer solutions of the inequality |x| < 3?A. 0, 1, and 2
B. 0, 1, 2, and 3
C. –2, –1, 0, 1, and 2
D. –3, –2, –1, 0, 1, 2, and 3
Answers
|x| < 3
- 3 < x < 3
x = {-2, -1, 0, 1, 2}
The correct result would be C. -2, -1, 0, 1, and 2.
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Chang industries has bonds outstanding with a par value of $212,000 and a carrying value of $221,000. if the company calls these bonds at a price of $216,000, the gain or loss on retirement is:
Which of the following is one way the expressionZ n can be rewritten using summation properties?181 46(47)2 T 21 64(65)1 (64 (65)) 1 17 (18)1 (64 (65) 1 19 (20)
Ersin cebindeki 8 lirayı pazartesi günü kumbarasına koyduktan sonra babası bundan sonra her gün ersine 8 lira koyması için her gün 3 lira veriyor buna göre hangi gün ersinin kumbarasında 74 lira olur
Adam’s sister wants to watch her intake of fat per day. He estimates that the dinner will have 48 grams of fat. What percentage of her total daily allowance of fat will the dinner be
Answers
4x + x = 150
5x = 150
X = (150/5)
X = 30
Therefore the telephone is $30 and the utility bill is $120
Answers
Answer: You need to separate the variable (A) from the rest of the equation.
Step-by-step explanation:
Simplify and move everything except the variable
2x2 = -6 + 8a >>> 4 = -6 + 8a >>> 10 = 8a
Then, divide both sides by the amount of A (8)
10 / 8 = 1.25
8 / 8 = 1
1.25 = A
Answers
P = (P° x r x (1+r)^N) / ((1+r)^N -1)
where P is the monthly payment, P° is the loan amount, r is the APR, N is the number of monthly payments
We substitute the values and manipulate where one side contains the unknown term r.
27.50/835 = ( r x (1+r)^36) / ((1+r)^36 -1)
Using some functions in the calculator we obtain,
r = 9.51 x 10^-3
Thus, the problem above has an APR of 0.95% monthly.
Answer:
12
Step-by-step explanation:
y = payments per year = 12
c = total interest paid = (36 * 27.50) - 835
m = amount financed = 835
n = total number of payments = 36
It is just a matter of finding the definitions and implementing them.
I get 12.0281484 for the exact result.
so 12 would most likely be the best answer for this.
А=P(1 + Tt)
Answers
Answer:
Option C. r = (27 – P)/3P
Step-by-step explanation:
The following data were obtained from the question:
A = 27
t = 3
r =?
А = P(1 + rt)
With the above formula, we can obtain the value of r as follow
А = P(1 + rt)
27 = P(1 + 3r)
Divide both side by P
27/P = 1 + 3r
Subtract 1 from both side
27/P – 1 = 1 – 1 + 3r
27/P – 1 = 3r
(27 – P)/P = 3r
Divide both side by 3
r = (27 – P)/P ÷ 3
r = (27 – P)/P × 1/3
r = (27 – P)/3P
Answers
The fundamental counting principle states that the total number of outcomes for any compound event is found my multiplying the total number of possible outcomes for each event. The spinner has 8 possible outcomes which are the integers from 1 to 8, each of the two coins has two possible outcomes, a head and a tail.
By the fundamental counting principle, there total number of outcome is calculated as shown below,
There are 32 possible outcomes.
Answer:
Using the fundamental counting principle, the total possible outcomes are:
32
Step-by-step explanation:
The spinner is spun, and 2 coins are flipped.
Now when a spinner is spin then total 8 outcomes are possible.
Since any of the 8 numbers could be obtained on the spin( 1 to 8)
and when a coin is flipped then there are only two possible outcome i.e.
either Head or Tail.
Hence, the total number of possible outcomes are:
8×2×2=32
( since the first possibility 8 is possible from spinner and the '2' outcomes are possible from each of the flip of a coin )
Hence, the answer is:
32
Answers
That's very interesting. I had never thought about it before.
Let's look through all of the ten possible digits in that place,
and see what we can tell:
-- 0:
A number greater than 10 with a 0 in the units place is a multiple of
either 5 or 10, so it's not a prime number.
-- 1:
A number greater than 10 with a 1 in the units place could be
a prime (11, 31 etc.) but it doesn't have to be (21, 51).
-- 2:
A number greater than 10 with a 2 in the units place has 2 as a factor
(it's an even number), so it's not a prime number.
-- 3:
A number greater than 10 with a 3 in the units place could be
a prime (13, 23 etc.) but it doesn't have to be (33, 63) .
-- 4:
A number greater than 10 with a 4 in the units place is an even
number, and has 2 as a factor, so it's not a prime number.
-- 5:
A number greater than 10 with a 5 in the units place is a multiple
of either 5 or 10, so it's not a prime number.
-- 6:
A number greater than 10 with a 6 in the units place is an even
number, and has 2 as a factor, so it's not a prime number.
-- 7:
A number greater than 10 with a 7 in the units place could be
a prime (17, 37 etc.) but it doesn't have to be (27, 57) .
-- 8:
A number greater than 10 with a 8 in the units place is an even
number, and has 2 as a factor, so it's not a prime number.
-- 9:
A number greater than 10 with a 9 in the units place could be
a prime (19, 29 etc.) but it doesn't have to be (39, 69) .
So a number greater than 10 that IS a prime number COULD have
any of the digits 1, 3, 7, or 9 in its units place.
It CAN't have a 0, 2, 4, 5, 6, or 8 .
The only choice that includes all of the possibilities is 'A' .