Step-by-step explanation:
Aaron had 72 beads
Bessy had 60 beads
Carl had 46 beads
Dawn had 22 beads
Answer:
The principle amount = $4000
Step-by-step explanation:
Formula:
Simple interest I = PTR/100
P - Principle amount
T - Number of years
R - Rate of interest
<u>To find principle amount</u>
Here , P = ?, T = 2 years, R = 5.9% and p + I = $4472
I = PTR/100
P + (P*2**5.9)/100 = 4472
P[1 + 11.8/100] = 4472
P[111.8/100] = 4472
P = (4472*100)/111.8 = 4000
Therefore the principle amount P = $4000
Answer:
A. 806.5 in²
Step-by-step explanation:
The figure given is a combination of a rectangle, a trapezoid and a triangle.
The formulas for the areas of each figure:
Rectangle: length x width
Trapezoid: 
, where 
and 
are the lengths of each base and h is the height of the figure
Triangle: 1/2 bh, b = base and h = height
For each of the figures given:
rectangle: 16 x 9 = 144 in²
trapezoid: 
= 352.5 in²
triangle: 1/2(31*20) = 310 in²
310 + 144 + 352.5 = 806.5 in²
Answer:
$1954
Step-by-step explanation:
Given the profit function expressed as;
y=-3x^2 + 197x –
1279
The profit is at maximum when dy/dx = 0
dy/dx = -6x + 197
0 = -6x+197
6x = 197
x = 197/6
x = 32.83
substitute 32.83 into the modeled function
y=-3x^2 + 197x –
1279
y -3(32.83)²+197(32.83) - 1279
y = -3(1,078.03)+6,467.51 - 1279
y = -3,234.09+6,467.51-1279
y = 1,954.42
hence the maximum amount of profit the company can make, to the nearest dollar is $1954
