We have the vertex (-4, -1), therefore we have:
Using the rule C =2πr the answer is
C≈141.37
12 divides by 4 would be 3
So 3x
Plus the exponents so
The answer is 3x exponent 7
Answer:
3 girls and 4 boys
Step-by-step explanation:
Writing the number of girls in the family as g and the number of boys in the family as b,
we know that each girl has twice as many brothers as sisters. Therefore, the amount of boys in the family (b, or how many brothers each girl has) is twice the number of the amount of girls in the family (g) minus 1 (g-1) (subtract 1 because each girl's number of sisters does not include the girl herself). We can write this as
b = 2(g-1)
Next,
we know that each boy has the same amount of brothers as sisters. Therefore, the amount of boys in the family minus 1 (b-1, subtracting 1 because we don't include the boy that has the brothers) is equal to the amount of girls in the family (g). we can write this as
b-1 = g
Therefore, we have
b = 2(g-1)
b-1 = g
Plugging b-1 = g into the first equation, we get
b = 2 (g-1)
2(g-1) = 2((b-1) - 1) = b
= 2(b-1-1)
= 2(b-2)
= 2b-4
b = 2b-4
subtract 2b from both sides to make it so that only b values and their coefficients are on one side
-b = -4
multiply both sides by -1 to solve for b
b=4
Therefore, there are 4 boys in the family and b-1 = 4-1 = 3 girls in the family.
Answer:
Given the statement:
8,000 earn in four years compounded daily at 5%
To find the amount we use formula:
where P is the principal , A is the amount , n is number of times compounded per year and t is the time in year.
Here, Principal(P) = $8000, r = 5% and n = 365
Substitute these given values we get;
Simplify:
To find the Interest we use formula:
It is also given that:
8,000 earn in four years compounded annually at 5%.
Here, P = $8000, r = 5% , t =4 year and n = 1
Using the same formula to calculate the amount:
Simplify:
To find the Interest :
Then;
Therefore, $47.23 more would $8,000 earn in four years compounded daily at 5% than compounded annually at 5%
