What is the interest rate if a principal of $700 earns $196.00 in interest in seven years?
1 answer:
Answer:
4%
Step-by-step explanation:
To solve this problem we can use a modified version of the simple interest formula which is shown below:
<em>P = initial balance</em>
<em>I = interest</em>
<em>t = time</em>
<em />
Plug the values into the equation:
The last step is to convert 0.04 into a percent:
0.04(100) = 4
The interest rate is 4%.
You might be interested in
This question is incomplete, the complete question is;
If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple are written in increasing order but are not necessarily distinct.
In other words, how many 5-tuples of integers ( h, i , j , m ), are there with n ≥ h ≥ i ≥ j ≥ k ≥ m ≥ 1 ?
Answer:
the number of 5-tuples of integers from 1 through n that can be formed is [ n( n+1 ) ( n+2 ) ( n+3 ) ( n+4 ) ] / 120
Step-by-step explanation:
Given the data in the question;
Any quintuple ( h, i , j , m ), with n ≥ h ≥ i ≥ j ≥ k ≥ m ≥ 1
this can be represented as a string of ( n-1 ) vertical bars and 5 crosses.
So the positions of the crosses will indicate which 5 integers from 1 to n are indicated in the n-tuple'
Hence, the number of such quintuple is the same as the number of strings of ( n-1 ) vertical bars and 5 crosses such as;
= [( n + 4 )! ] / [ 5!( n + 4 - 5 )! ]
= [( n + 4 )!] / [ 5!( n-1 )! ]
= [ n( n+1 ) ( n+2 ) ( n+3 ) ( n+4 ) ] / 120
Therefore, the number of 5-tuples of integers from 1 through n that can be formed is [ n( n+1 ) ( n+2 ) ( n+3 ) ( n+4 ) ] / 120
Answer:
θ = 27.47°
Step-by-step explanation:
This problem can be represented as a right-angled triangle, as shown in the diagram below.
To find θ, we apply the tangent part of the trigonometric ratios SOHCAHTOA:
tanθ =
In the diagram, opposite = 1.3 m and adjacent = 2.5 m
Hence:
tanθ =
tanθ = 0.52
θ =
θ = 27.47°
The ramp forms 27.47° with the ground.
