Answer:
$900
Step-by-step explanation:
If she holds $500 and she is charged 15%; it means
The interest she pays per month is ;
$500 × 15/100 = $75
Then annually meaning for 12 months, she pays;
$75 × 12 = $900
Answer:
-7x + 4y = +42
Step-by-step explanation:
Going from point (2, -7) to point (6, 0), x increases by 4 and y increases by 7. Thus, the slope of the line in question is m = 7/4.
Starting from the equation y = mx + b, and subbing (7/4) for m, 6 for x and 0 for y, we get:
0 = (7/4)(6) + b. Then b = 42/4, or 21/2. Thus, we now have y = (7/4)x + 21/2.
We must put this into "standard form." Multiplying all three terms by 4, we get:
4y = 7x + 42. Rearranging these terms to fit the "standard form" equation Ax + By = C, we get:
-7x + 4y = +42
Answer:
The equation that can be used to find the width is 2(13 + w) = 42
The width of the rectangle is 8 inches
Step-by-step explanation:
The formula of the perimeter of a rectangle is P = 2(l + w), where l is its length and w is its width
∵ One rectangle has a length of 13 inches
∴ l = 13 inches
∵ Its perimeter is 42 inches
∴ P = 42 inches
- Substitute the values of l and P in the formula of the perimeter
∵ 42 = 2(13 + w)
The equation that can be used to find the width is 2(13 + w) = 42
To find W divide both sides by 2
∴ 21 = 13 + w
- Subtract 13 from both sides
∴ 8 = w
The width of the rectangle is 8 inches
Answer:
or 5.5√2
Step-by-step explanation:
We can see that this is a 45-45-90 triangle
refer to the image below to see what that means
we can see that (in the image) 11=x√2
which means that x= 11/√2
to rationalize this fraction we mulitply both sides by √2 to get
or 5.5√2
