Answer:
a) amount in the bank after 7 years if interest is compounded quarterly is $6,605
b) amount in the bank after 7 years if interest is compounded quarterly is $6,612.57
Step-by-step explanation:
We are given:
Principal Amount P= 5000
Rate r= 4% = 0.04
time t = 7 years
The formula used is: 
where A is future value, P is principal amount, r is rate, n is compounded value and t is time
a) Find the amount in the bank after 7 years if interest is compounded quarterly?
If interest is compounded quarterly then n = 4
Using values given in question and finding A
So, amount in the bank after 7 years if interest is compounded quarterly is $6,605
b) Find the amount in the bank after 7 years if interest is compounded monthly?
If interest is compounded quarterly then n = 12
Using values given in question and finding A
So, amount in the bank after 7 years if interest is compounded quarterly is $6,612.57
Answer:
D
Step-by-step explanation:
<u>1/2 value</u><u> can be used as the </u><u>common ratio</u><u> in an explicit formula that represents </u><u>the sequence.</u>
Definition of sequence -
- The following of one thing after another; succession. order of succession: a list of books in alphabetical sequence.
- A continuous or connected series: a sonnet sequence. something that follows; a subsequent event; result; consequence.
A sequence that progresses geometrically has the first term as 12.
Each number is the previous number divided by 2.
so the sequence will be 12, 6, 3, 1.5...........
Explicit formula of a geometric sequence is given by
Where 
= nth term of the sequence
a = first term
r = common ratio
and n = number of term
In this sequence common ratio = 
= 6/12
= 1/2
Therefore, common ratio will be 1/2.
Learn more about sequence
brainly.com/question/21961097
#SPJ4
Answer:
a) The floor of the room, each edge and the top of the table.
b) The edge of one side and one leg of the table.
c) The angle formed between the sides of the table and the angle between the legs of the table and its edges.
d) The vertices of the top of the table.
e) These are same lines.
Step-by-step explanation:
An angle is the amplitude between the two lines. Plane is an object which consists of two dimensions and infinite points. The segment is a fragmented line. A ray is a line which a starting point and a direction.
Answer:
Greater
Step-by-step explanation:
A number must be greater that a small percentage of the number
Greater
---------------------
45% = 0.45
.45 x = 45
Divide both sides by .45
x = 100
