8.4x+6.5x= please help me
2 answers:
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<u>Number of terms = 48</u>
<u>common difference = 1.5</u>
This question involves the concept of Arithmetic Progression.
- The formula for sum of an arithmetic progression series with first and last term given is;
=
(a + l)
where;
a = first term
l = last term
n = number of terms
- From the given sequence, we see that;
first term; a = 4
last term; l = 76
Sum of A.P; = 1920
- Plugging in relevant values into the sum of an AP formula, we have;
1920 = (4 + 76)
simplifying this gives;
1920 = 40n
n = 1920/40
n = 48
- Formula for nth term of an AP is;
=
+ (n - 1)d
where;
is first term
d is common difference
n is number of term
is the nth term in question
the 48th term is 76
Thus;
76 = 4 + (48 - 1)d
76 - 4 = 47d
72 = 47d
d = 72/47
d ≈ 1.5
Thus;
Number of terms = 48
common difference = 1.5
Read more at; brainly.com/question/16935540
Answer:
a) Effective annual rate: 18.6%
b) Effective annual rate: 20.27%
c) Effective annual rate: 20.43%
d) Effective annual rate: 20.44%
Step-by-step explanation:
The effective annual interest rate, if it is not compounded continuously, is given by the formula
where
<em>C = Amount of the credit granted </em>
<em>r = nominal interest per year </em>
<em>n = compounding frequency </em>
<em>t = the length of time the interest is applied. In this case, 1 year. </em>
In the special case the interest rate is compounded continuously, the interest is given by
(a) Annually
The effective annual rate is 18.6%
(b) Monthly
<em>There are 12 months in a year </em>
The effective annual rate is 20.27%
(c) Daily
<em>There are 365 days in a year </em>
The effective annual rate is 20.43%
(d) Continuously
The effective annual rate is 20.44%