The interest earned in 5 years would be $270
<u>Explanation:</u>
Given:
Principal, P = $1800
Rate of interest, r = 3%
Time, t = 5 years
Simple interest, I = ?
We know,
On substituting the value we get
Therefore, interest earned in 5 years would be $270
Question: What value of c will complete the square below () and make the expression a perfect square trinomial?
Answer: c = 225
Step-by-step explanation:
Perfect square trinomials come in the form a² + 2ab + b², which is equal to (a + b)². In the presented trinomial, we can immediately identify that <u>a = x, and b² = c</u>, but we need to find the numerical value of .
To do this, note that the middle term, or <u>2ab, corresponds with (is equal to) 30x</u>. We know that a = x, and thus, <u>2ab = 2bx</u>. Now, 2bx and 30x are corresponding terms; thus, <u>2bx = 30x</u>.
Dividing by on both sides gives us <u>b = 15</u>. Therefore, c = b² = 15² = 225. (As a squared binomial, this would be (x + 15)² as a = x and b = 15.)
Answer: 7
Step-by-step explanation:
Given: Triangle UVW map to triangle XYZ where Triangle UVWhas side Lengths 3,4,2, and triangle XYZ has lengths 14,28,21.
We know that the scale factor between two similar figures is the the ratio of the corresponding side of image to the original figure.
Let k be the scale factor.
Then,
Hence, the scale factor = 7