Answer:
The annual interest rate is 6.25%
Step-by-step explanation:
We have been given that
P = $50,000
I = $9,375
t = 3 years
r = ?
The formula for simple interest is given by

Therefore, the annual interest rate is 6.25%
Answer:
So to maximize profit 24 downhill and 20 cross country shouldbe produced
Step-by-step explanation:
Let X be the number of downhill skis and Y the number of cross country skis.
Time required for manufacturing and finishing each ski are: manufacturing time per ski, downhill 2.5 hours, cross country 1.5 hours
Finishing time per ski: downhill 0.5 hours, cross country 1.5 hours.
Total manufacturing time taken = (2.5) x+ (1.5+) y = 2.5x+1.5y≤90
total finishing time taken = 0.5x+1.5 y≤42
Profit function
Z = 50x+50y
Objective is to maximize Z
Solving the two equations we get intersecting point is
(x,y) = (24,20)
In the feasible region corner points are (0.28) (36,0)
Profit for these points are
i) 2200 for (24,20)
ii) 1400 for (0,28)
iii) 1800 for (36,0)
So to maximize profit 24 downhill and 20 cross country shouldbe produced.
Answer:
the money spend on tomatoes is $4.20
Step-by-step explanation:
The computation of the money spend on tomatoes is shown below
Let the money spend on tomatoes be x
So

$3.63 + $1.80 + x = $9.63
x = $9.63 - $3.63 + $1.80
= $4.20
Hence, the money spend on tomatoes is $4.20
Answer: 4,188.79 u^3
Step-by-step explanation: Volume of a sphere is (4/3)pi•r^3
10^3 = 1000
(4/3) • pi • 1000 = 4,188.79 (rounded to 2 decimals)
Answer:
(6 , -9) (7, -9)
Or
(6, 11) (7, 11)
Step-by-step explanation:
Given: Two of the vertices of a rectangle are (6,1) and (7,1)
Perimeter= 18 units
To get the value of "x"
The distance between Two point can be calculated as (6-7)=-1
Then x= -1
We can get the value of "y" by using expression for perimeter,
The perimeter P= 2x+2y=18
= 2(-1)+2y= 18
-2+2y=18
2y=18+2
2y= 20
y=10
The "y" coordinate can move up or can move down
y1=( 1-10)=-9
Or
y2=( 1+10)=11
Hence, the two other points are;
(6 , -9) (7, -9)
Or
(6, 11) (7, 11)