Answer: 5.5%
Step-by-step explanation:
Since the money invested has grown to $8300 and the principal was $600, this means the interest is:
= $8300 - $6500
= $1800
Simple interest = (Principal × Rate × Time)/100
1800 = (6500 × Rate × 5)/100
Cross multiply
1800 × 100 = 32500 × Rate
Rate = 180000/32500
Rate = 5.5%
<span>1st consecutive integer : x
2nd : x+1
3rd : x+2
(x)^2 + (x+1)^2 + (x+2)^2 = 194
x^2 + x^2 + 2x + 1 + x^2 + 4x + 4 = 194
3x^2 + 6x + 5 = 194
3x^2 + 6x - 189 = 0
3(x^2 + 2x - 63) = 0
(x+9)(x-7) = 0
x = -9 or x = 7
when x=-9
-9^2 + (-9+1)^2 + (-9+2)^2
= 81 + 64 + 49
=162 (reject)
when x=7
7^2 + (7+1)^2 + (7+2)^2
= 49 + 64 +81
= 194
so the three consecutive integers are 7,8,9 .
There hope this helps</span>
Answer:
increasing the radius makes the circle larger. (Answer B)
Step-by-step explanation:
The formula for the area of a circle is A = πr². Hence, Area of a Circle depends solely on the variable r and the constant of proportionality π.
Thus, increasing the radius makes the circle larger.