Answer:
The balance after 15 year is $831.25 .
Step-by-step explanation:
Formula
Where P is the principle and r is the rate of interest in the decimal form and t is the time.
As given
Caiden earned $475 from mowing lawns last summer.
He deposited this money in an account that pays an interest rate of 3.8% compounded annually.
Here
P = $475
3.8% is written in the decimal form.
= 0.038
r = 0.038
t = 15 years
Put in the formula
Amount = $831.25
Therefore the balance after 15 year is $831.25 .
f(x)=3x^2-18x+10
a = 3, b = -18 and c = 10
The vertex of a parabola is in form a(x+d)^2 + e
d = b/2a = -18/2(3) = -18/6 = -3
e = c-b^2/4a = 10 - -18^2/4(3) = 10-27 = -17
Now the vertex form of the parabola becomes 3(x-3)^2 -17
Use the vertex form of the parabola in the vertex form of y = a(x-h)^2 +k
Where a = 3, h = -3 and k = -17
Now you have y = 3(x-(-3))^2 +(-17)
Simplify: y = 3(x+3)^2 -17
The vertex becomes the h and k values of (3,-17)
Answer:
93.300
Step-by-step explanation:
(35•1.5) +(23•1.2)+(12•1.1)
Answer:
1
Step-by-step explanation:
the equation for a slope-intercept line is y=mx+b. In this equation, b represents the y intercept. In the equation you posted, 1 is in the place of b, so one is the y intercept.
hope this helps
Answer:
D
Step-by-step explanation:
Please look at the attached picture for full solution.
Method 1 is using the shoelace method to find the area of the rectangle. Shoelace method can be used to find the areas of any polygons given their coordinates. The coordinates have to be taken in an anticlockwise order and ending with the first coordinate.
Method 2 is making use of the distance formula of two points. The formula is as shown below:

Having found the distance of the length and breadth of the rectangle, you can now find its area since area of rectangle= length × breadth.