The scale factor is 4 (10/2.5).
Each side has increased by a factor of 4. Think of it logically, if the original rectangle had sides of 1,1,1/4,1/4, the perimeter would add to 2.5. In order to get the sides to add up to 10, each of the sides would need to be multiplied by 4. Then our sides would measure 4,4,1,1 with a perimeter of 10.
Answer:
Volume of cone = 90 ft³
Step-by-step explanation:
diameter of cone = 6ft
radius of cone = 3ft
height = 10ft
Volume of cone = 
V = (3 × 3 × 3 × 10)/3
V = 270/3
V = 90 ft³
2,3,6 because 2 and 3 cant equal 6
Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.
Step-by-step explanation:
The given is,
Investment = $ 8000
No. of years = 15 years
Interest rate, i = 3.1 %
( compounded monthly )
Step:1
For for calculating future value with compound interest monthly,
.................(1)
Where,
A = Future amount
P = Initial investment
r = Rate of interest
n = Number of compounding in a year
t = Time period
Step:2
From given values,
P = $8000
r = 3.1%
t = 15 years
n = 12 ( for monthly)
Equation (1) becomes,





A = $ 12728.48
Result:
Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.
Answer:
d) 3x + y = 5
Step-by-step explanation:
The standard equation of a line with slope and a point is given by:
y = mx + b
We know that
m=-3
Putting the value of slope
y = -3x+b
To find the value of b, we will put the point in the equation
-1 = (-3)(2)+b
-1 = -6 + b
-1+6 = b
b = 5
Putting the values of b and m in standard equation
y = -3x+5
Can also be written as:
3x+y = 5
Hence,
Option d: 3x + y = 5 is the correct answer ..