Answer:
$98100
Step-by-step explanation:
Using the given formula :
I = P × R × T
I = 90000 × 3/100 × 3
I = $8100
He saves = 8100 + 90000 = $98100
Answer:
Tn = 6.4 + 1.8n
Step-by-step explanation:
Given
Sequence: 8.2, 10, 11.8, 13.6
Required
The formula of the sequence.
First, the type of the sequence needs to be determined (arithmetic or geometric)
It is an arithmetic sequence because each successive sequence is separated by a common difference..
The common difference is represented by d and it's calculated as follows.
d = 10 - 8.2 or 11.8 - 10 or 13.6 - 11.8
Each of the above gives
d = 1.8
Now, that we have the common difference; the next is to determine the formula using the Arithmetic Progression formula.
Tn = T1 + (n - 1)d
Where T1 is the first term of the progression; T1 = 8.2
By substituting 8.2 for T1 and 1.8 for d.
This gives
Tn = 8.2 + (n - 1) * 1.8
Open bracket
Tn = 8.2 + 1.8 * n - 1 * 1.8
Tn = 8.2 + 1.8n - 1.8
Collect like terms
Tn = 8.2 - 1.8 + 1.8n
Tn = 6.4 + 1.8n
Hence, the formula of the sequence is Tn = 6.4 + 1.8n
We shall use a negative sign for an elevation below sea level, and a positive sign for an elevation above sea level.
Given:
Elevation of city A = -96 ft (below sea level)
Elevation of city C = -24 ft (below sea level)
Let x = elevation of city D.
Part A.
Because the elevation of city D is 1/4 of the elevation of city C, therefore
x = (1/4)*(-24)
Part B.
Because 24/4 = 6, therefore
x = -6 ft.
Answer:
The elevation of city D is 6 feet below sea level.
The answer is negative because the elevation is below sea level.
Answer: Mary is correct.
9/8 is an improper fraction, so we change it to 1 1/8.
Mary lives less than a mile from school, so we know that Thad lives farther since he lives a mile and 1/8 away, and Mary only lives 6/10 away, which is less than a mile.
Glad I could help, and good luck!
