Answer:
The larger of the two angles is x, which is 75. y is the smaller angle at 15.
Step-by-step explanation:
In order to find these, we can use our solved value for y in the second equation to plug into the first equation. This method is called substitution.
x + y = 90
x + (1/5x) = 90
1.2x = 90
x = 75
Now we can plug that value into either equation to find y
y = 1/5x
y = 1/5(75)
y = 15
Answer:
Step-by-step explanation:
Alright, lets get started.
This is the combination of three figures semi circle, rectangle and triangle.
We will find the area of each figure and will add them.
The radius of the circle is half of the diameter, so radius is 6.
Area of semi circle will be : 
Area of semi circle is : 56.52
Area of rectangle is: 
So, area of rectangle is:
Area of triangle is : 
So, area of triangle is :
Adding all these three areas, the area of above figure will be:
[tex]Area = 56.52+480+30
Hence Area is 566.52............... Answer
Answer:
13
Step-by-step explanation:
(17+9)/2 = 13
Answer:
-500
Step-by-step explanation:
Given sequence;
97, 94, 91 ......
Unknown;
The 200th term of the sequence;
Solution:
Since we were given an arithmetic progression, we need to first find the common difference;
Common difference = second term - first term
= 94 - 97
= -3
To find the 200th term, we use the expression below;
Sn = a + (n-1)d
a is the first term
n is the nth term
d is the common difference
S₂₀₀ = 97 + (200 - 1 ) x -3 = -500
100×(1+0.11÷2)^(2×5)
=170.81
100×e^(0.108×5)
=171.60
So she should choose the account which pays the interest continuously