Answer:
Interest earned = 2713.8
Explanation:
We will solve this problem on two steps:
1- get the final amount after three years
2- get the interest earned by subtracting the initial amount from the final one.
1- getting the final amount after 3 years:
The formula that we will use is as follows:
A = P (1 + r/n)^(nt)
where:
A is the final amount we want to calculate
P is the initial amount = 6300
r is the interest = 0.12
n is the number of compounds per year =12
t is time in years = 3
Substitute to get the final amount:
A = P (1 + r/n)^(nt)
A = 6300 (1 + 0.12/12) ^ (12*3)
A = 9013.8
2- getting the interest earned:
Interest earned = final amount - initial amount
Interest earned = 9013.8 - 6300
Interest earned = 2713.8
Hope this helps :)
Answer:
A group of students formed a circle during a game.The circumference of the circle was about 43.96 feet,and the diameter of the circle was 14 feet.Which expression best represents the value of π?
The expression which represents the value of π is option C from the attachment that is π = 43.96/14
Step-by-step explanation:
Given:
Circumference of the circle = 43.96 feet
Diameter f the circle = 14 feet
So,
We know that :
Circumference of the circle =
or 
Re-arranging the formula:
⇒
⇒ 
⇒
⇒ 
Plugging the numeric values:
⇒ 
So the expression for π is 43.96/ 14,and option C is the correct choice.
Answer: it could end in 20 different ways.
Step-by-step explanation:
This match could be
3x0 D or F
3x1 D or F
3x2 D or F
For 3x0
We have 2 options: DDD or FFF
2.P₁ = 2.1 = 2
For 3x1
We have 6 options
DFDD FDFF
DDFD FFDF
FDDD DFFF
2.3.1 = 6
For 3x2
we have 12 options:
DFDFD FDFDF
DDFFD FFDDF
DFFDD FDDFF
FFDDD DDFFF
FDFDD DFDFF
FDDFD DFFDF
2.3.2 = 12
In total we could have 20 outcomes.
3 feet are in one yard
so 3 ×10 =30
so 30 ÷ 7 = 4.2
Answer is 4
even is there if there is a decimal only 4 can be made