Please Help with 31 and 32. I am really confused. Will Select Brainliest Answer.
1 answer:
Answer: C, D
Step-by-step explanation:
31 - use the Pythagorean theorem to find the distance
a = 45
b = 28
plug in values
c = 53
answer choice C
32 - non linear functions are functions that aren't straight. if a function has anything besides a constant or an x variable to the power of 1, it is not linear
A - this is linear because -18 is a constant
B - this is linear because it only contains constants and an x variable to the power of 1
C - this is linear because it only contains an x variable to the power of 1
D - this is not linear because the x variable is on the bottom of the fraction, so x is to a power of -1
answer choice D
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Answer:
$2647.18
Step-by-step explanation:
Formula :
Future value = $43,000
r = rate of interest = 9% = 0.09
t = 3.5 years (compounded quarterly)
n = number of compounding (3.5 × 4) = 14
Now put the values into formula :
43000 =
43000=A(
43,000 = A(16.243708)
A =
A = $2,647.17883 ≈ $2647.18
The number of permutations of picking 4 pens from the box is 30.
There are six different unique colored pens in a box.
We have to select four pens from the different unique colored pens.
We have to find in how many different orders the four pens can be selected.
<h3>What is a permutation?</h3>A permutation is the number of different arrangements of a set of items in a particular definite order.
The formula used for permutation of n items for r selection is:
Where n! = n(n-1)(n-2)(n-3)..........1 and r! = r(r-1)(r-2)(r-3)........1
We have,
Number of colored pens = 6
n = 6.
Number of pens to be selected = 4
r = 4
Applying the permutation formula.
We get,
=
= 6! / 4!
=(6x5x4x3x2x1 ) / ( 4x3x2x1)
= 6x5
=30
Thus the number of permutations of picking 4 pens from a total of 6 unique colored pens in the box is 30.
Learn more about permutation here:
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