Answer:
y = 5 e^r * t
Let y be the population in billions and t the value of elapsed years
7 = 5 e^r * t is the equation being used where t = 15
7/5 = e^r * t
ln 7/5 = r * t taking ln of both sides
r = .336 / 15 = .0224
y = 5 e^(.0224 t) is then our equation
Check - suppose you want y at 2020
y = 5 e^(.0224 * 20) would be the equation
y = 5 e^.449 = 7.83 billion - seems to be a reasonable answer
Question 1:This is a 45-45-90 right triangle. If the leg length is

, then the hypotenuse length will be

.
The leg length of this 45-45-90 right triangle is 8. Multiply that with the square root of 2. You get

. Thus, the last choice is your answer.
Question 2:This triangle can be identified as a 30-60-90 right triangle.
Let's say the smallest leg as a length of

.
Then, the longer leg will have a length of

.
Also, the hypotenuse will have a length of

This triangle follows this format, making it a 30-60-90 right triangle. Thus, the angles are 30, 60, and 90.
Hope this helps! :)
Answer:
937.5 packs of apples
Step-by-step explanation:
Note that:
100p = £1
80p = x
Cross Multiply
100x = 80p × £1
x = 80/100
x = £0.8
Jay sells 10 packs of apples for 80p.
Hence:
£0.8 = 10 packs of apples
£75 = x
Cross Multiply
£0.8 × x = £75 × 10 Packs
x = £75 × 10 Packs/£0.8
x = 937.5
Therefore, to make £75 at the end of the year, he has to sell 937.5 packs of apples
Answer:
7/2
Step-by-step explanation:
3 wholes is equal to 6 halves plus a half equals 7 halves
Answer:
-24
Step-by-step explanation:
-3 (x + 4) - 2 = -2 (x - 5)
-3x - 12 - 2 = -2x + 10
-3x + 2x = 10 + 12 + 2
-x = 24
x = -24