Concept:
If every element of a set D is an element of set E, then D is the subset of E.
e.g
D={1,2,3}, E={1,2,3,4}
As all the elements of D are in E, so D is the subset of E.
Now the intersection of two sets D and E is the set of all elements which belong to both D and E.
As, in our example the set D={1,2,3} is the intersection of set D and set E.
From the above discussion, it is proved that <span>If set D is not the empty set but is a subset of set E then
</span> <span>D ∩ E = D is the true answer.</span>
Answer:
z + 7
Step-by-step explanation:
<u>Step 1: Convert words into an expression</u>
The sum of z and 7
<em>z + 7</em>
<em />
Answer: z + 7
<u>If needed solve:</u>
z + 7 - 7 = 0 - 7
<em>z = -7</em>
The theorem tells you angles complementary to the same angle are congruent. Both 4 and 1 are complementary to 5, so 4 and 1 are congruent.
The angle congruent to 4 is 1.
The annual interest rate is 3.5%.
Solution:
Given Interest (I) = $26.25
Principal (P) = $500
Time (t) = 18 months
Rate of interest (r) = ?
Time must be in years to find the rate per annum.
1 year = 12 months
Divide the time by 12.
Time (t) = 
years
Now, find the rate of interest using simple interest formula.
<u>Simple interest formula:</u>
⇒ r = 3.5%
Hence the annual interest rate is 3.5%.
