This is the concept of application of compound interest, to calculate the amount I will have after the 5th deposit we proceed as follows;
A=p(1+r/100)^n
where;
A=future amount
p=principle
r=rate
n=number of years
thus substituting the values in our formula we get:
A=3,100(1+8.5/100)^5
A=3,100(1+0.085)^5
A=3100(1.085)^5
A=4,666.34
The amount of money after 5 years will be $4,666.24
Answer:
x = 26
Step-by-step explanation:
The parallel lines are Line l and Line m. The other line shown is the transversal.
When 2 parallel lines are cut by a trasversal it creates 4 euqual angles and another 4 equal angles of different measure.
The angle "5x + 7" is equal to the angle "8x - 71" since they are <em><u>alternate exterior angles.</u></em>
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So, we can equate both expressions and use algebra to solve for "x". The process is shown below:
Hence,
the value of x is 26
Answer:
Step-by-step explanation:
Given line = 30x - 5y = 5 or y = 6x + 1
so, the slope of the given line is 6.
now, let the line which is perpendicular to the given line be y = mx + c
where,
m = slope of the line
c = constant
As we know, if two lines are perpendicular to each other, the value of product of there slopes are -1.
so, slope of given line × slope of perpendicular line = -1
⇒ 6(m) = -1
⇒ m =
By substitutiong the value of m in the equation, we get;
⇒
For c,
as the point (0,-3) passes through the line, we get;
⇒
⇒
Hence,
The line which is perpendicular to the given line and passes through (0,-3) is .
Answer:
(3x+1)^2
Step-by-step explanation:
Answer:
y = -7; x = 4
Step-by-step explanation:
x - 7y = 53
x = 7y + 53
-4x - 5y = 19
-4(7y + 53) - 5y = 19
-28y - 212 - 5y = 19
-33y = 231
-11y = 77
y = -7
x - 7(-7) = 53
x + 49 = 53
x = 4