Annuity formula is given by:
FV=P[(1+r)^n-1]/r
FV=future value
r=rate
n=time
P=principle
Plugging the value from the question we obtain:
FV=10000[(1+0.07)^6-1]/0.07
FV=71,532.91
Thus the current value of the annuity is given by:
A=p(1+r)^n
plugging in the values we obtain and solving for p we get:
71532.91=p(1+0.07)^6
p=71532.91/(1.07)^6
p=$47665.40
Hence the answer:
B] $47665
The continent which has 59% of the total population will have more than 5.31 billion people by 2050.
<u>Step-by-step explanation:</u>
It is given that,
- The total number of people is 9 billion.
- The estimated number of people in 2050 year is 5.31 billion.
Therefore, you need to find out which continent has the estimated number by finding the percentage value.
<u>To find what percent 5.31 is of billion is of 9 billion :</u>
Let x be the percentage to be calculated.
⇒ x percent of 9 billion is 5.31 billion.
⇒ (x/100) × 9 = 5.31
⇒ x = (5.31 × 100) / 9
⇒ x = 531 / 9
⇒ x = 59 %
∴ The continent which has 59% of the total population will have more than 5.31 billion people by 2050.
Answer:
Option B. 
Step-by-step explanation:
we know that
The area of a triangle is equal to

we have


Convert mixed numbers to an improper fractions


substitute the values

Answer:
y=2x+y-int
Step-by-step explanation:
If the line is parallet to the defined by the given equation the slope of the unknown line is m=2.
Use this value of slope to calculate the y intercept. 2 = ( 2 - y-int)/4 - 0)
THus, your equation is y = 2x + y-int
Answer:
55/43
Step-by-step explanation:
(x/y) = 7/3, (x^2/y^2)=49/9, multiply by 3 above and multiply 2 below, 3x^2/2y^2=147/18. Next apply C&D and you will get (3x^2+2y^2)/(3x^2-2y^2)=(147+18)/(147-18)=165/129=55/43