Answer:
There will be 361 individuals in 4 years.
Step-by-step explanation:
Exponential equation of population decay:
The amount of individuals of a certain population, after t years, with a decay rate of r(as a decimal), is given by:
In which A(0) is the initial population and r is the decay rate.
The population of a certain animal species decreases at a rate of 2.5%.
This means that
There are 400 individuals:
This means that . So
How many there will be in 4 years?
This is A(4). So
Rounding to the nearest whole number, there will be 361 individuals in 4 years.
Answer:
Slope=-2 Y-Intercept= (0,5)
Step-by-step explanation:
Answer:
Given: A triangle ABC in which ∠ CAB=∠2, ∠AC B=∠1,∠C BA=∠3. Also line X passes through vertex C forming three interior angles ∠1,∠4,∠5 such that AB║X C.
To prove:m∠1+m∠2+m∠3=180°
Proof: In Δ ABC,AB║X C
∠2=∠5 [∠2 and ∠5 are alternate angles, AB║X C, and AC is a Transversal ] ..............(1)
∠3=∠4 [∠3 and ∠4 are alternate angles ,AB║X C, and BC is a Transversal ]......................(2)
∠1,∠4 and∠5 lie on line XC.
∠1+∠4 +∠5=180°[ Linear pair axiom]
∠1+∠2+∠3=180° [ Using 2 and 3]
Hence proved.