Answer:
30 is 75% of 40
Step-by-step explanation:
We have, 75% × x = 30 or, 75/100
x = 30. Multiplying both sides by 100 and dividing both sides by 75, x = 40.
And if you are using a calculator, simply enter 30×100÷75, which will give you the answer.
Given:
The equation of a circle is

A tangent line l to the circle touches the circle at point P(12,5).
To find:
The gradient of the line l.
Solution:
Slope formula: If a line passes through two points, then the slope of the line is

Endpoints of the radius are O(0,0) and P(12,5). So, the slope of radius is


We know that, the radius of a circle is always perpendicular to the tangent at the point of tangency.
Product of slopes of two perpendicular lines is always -1.
Let the slope of tangent line l is m. Then, the product of slopes of line l and radius is -1.



Therefore, the gradient or slope of the tangent line l is
.
The next two term is 13 and 16 respectively.
Step-by-step explanation:
here,
a1 = -2
a2 = 1
a3 = 4
a4 = 7
a5 = 10
So, d = <u>a2 - a1</u> = 1 - (-2) = 3
= <u>a3 - a2</u> = 4 - 1 = 3
Here, <u>Common difference</u> is <u>same everywhere</u> and the value of d is 3
Then,
<em>To find 6th term of this sequence</em>
<u>a6 = a5 + d</u>
= 10 + 3
a6 = 13
<em>To find </em><em>7</em><em>t</em><em>h term of this sequence</em>
<u>a7 = a6 + d</u>
= 13 + 3
a7 = 16
Thus, The next two term is 13 and 16 respectively.
-<u>T</u><u>h</u><u>e</u><u>U</u><u>n</u><u>k</u><u>n</u><u>o</u><u>w</u><u>n</u><u>S</u><u>c</u><u>i</u><u>e</u><u>n</u><u>t</u><u>i</u><u>s</u><u>t</u>
Answer:
K = 7 or 1
Step-by-step explanation:
(7-7)(7-1)=0
(1-7)(1-1)=0

so, that gives you the compounded amount, after 10 years, if you want to know how much interest was earned? well, just subtract the Principal from the Amount, or A - P <--- that's how much interest was earned