ANSWER
EXPLANATION
In a geometric progression (G.P), the first term is termed (a), and the common ratio is denoted by (r). Hence, the nth term is calculated using the formula;
Given that;
Now ,substituting the given values;
One whole jar= 3/3 or 1
Set up a ratio comparing the two sets of measurements.
2 2/4 ounces of peanuts is to 2/3 of a jar as x ounces of peanuts is to 3/3 of a jar.
x= ounces in 1 whole jar
2 2/4 / 2/3= x / 3/3
cross multiply
(2 2/4 * 3/3)= (2/3 * x)
convert to improper fractions
10/4 * 3/3= 2/3x
multiply numerators; multiply denominators
(10*3)/(4*3)= 2/3x
30/12= 2/3x
divide both sides by 2/3
30/12 ÷ 2/3= x
to divide fractions, multiply by the reciprocal/inverse of 2/3
30/12 * 3/2= x
multiply numerators; multiply denominators
(30*3)/(12*2)= x
90/24= x
simplify by 6
15/4 or 3 3/4 ounces= x
ANSWER: 3 3/4 ounces can make a full jar.
Hope this helps! :)
Answer:
You would receive $510.08 in return.
Step-by-step explanation:
In order to find the answer, you can use the formula to calculate the future value:
FV=PV*(1+i)^n
FV=future value
PV= present value= 500
i= interest rate=0.03/12=0.0025 per month
n= number of periods of time= 8
Now, you can replace the values in the formula:
FV=500*(1+0.0025)^8
FV=500*(1.0025)^8
FV=510.08
According to this, the answer is that you would receive $510.08 in return.
Answer:
216 Months
Step-by-step explanation:
First find how much money he looses per month: 0+700-8000= -7300 on the first month. So 11600-7300=4300.
Then, he starts loosing $200 dollars per month because 900-700=200.
So 4300/20=215. So 215+1=216 months before Anthony runs out of money.
The rule for the area of a polygon is as follows:
Area of a Polygon = Apothem x Perimeter ÷ 2
So, add all the of the outside measurements together to find the Perimeter but I don't know where the Apothem in the polygons are.
I hope this gives you some sort of a lead. :)
