Answer:
√17 or 4.12 inches
Step-by-step explanation:
√9²-8²=√81-64=√17 inches
or 4.12 inches
<h3>Given</h3>
- Set A: A = {-26, -25, -24, -23, - 22, - 21}
- Set B: B ∈ {x: x is even, x ≥ 6 and x ≤ 20}
<h3>(a) </h3>
<em />
<em>Cardinality means the number of elements in the set.</em>
Cardinality of the set A:
n(A) = 6, since we can count 6 elements.
Set B has even numbers between 6 and 20, both included:
- B = {6, 8, 10, 12, 14, 16, 18, 20}
Then its cardinality is:
<h3>(b) </h3>
To solve this we need to compare the elements of sets A or B with numbers given:
- -22 ∈ A, True ⇒ -22 is listed as element of A
- 6 ∈ B, True ⇒ 6 is listed as element of B
- - 21 ∉ A, False ⇒ - 21 is listed as element of A
- 2 ∈ B, False ⇒ 2 is not listed as element of B
Answer:
The amount the $20.000 will be worth in 17 years at compound interest is $65068.443
Step-by-step explanation:
Here we have the Principal, P = $20,000.00
The annual interest rate, r = 7% = 0.07
Time , t = 17 years
Number of compounding period per year, m = quarterly = 4
The compound interest can be found from the following formula;
Therefore, by plugging the values of the equation parameters, we have;
Therefore, the amount the $20.000 will be worth in 17 years at compound interest = $65068.443.
Answer:
2.486
3.1734
4.726
5.1350
6.canot see number in picture
7.864
8.54
Step-by-step explanation:
Answer:
x=-5 Hope this helped! Goodnight!
Step-by-step explanation:
Let's solve your equation step-by-step.
−3(2x+6)=12
Step 1: Simplify both sides of the equation.
−3(2x+6)=12
(−3)(2x)+(−3)(6)=12(Distribute)
−6x+−18=12
−6x−18=12
Step 2: Add 18 to both sides.
−6x−18+18=12+18
−6x=30
Step 3: Divide both sides by -6.
−6x
/−6
=
30
/−6
x=-5
