Answer:
Approximately after 66.15 years, there will be 100 coyotes left
Step-by-step explanation:
We can use the formula 
to solve this.
Where
F is the future amount (F=100 coyotes)
P is the initial amount (P=750 coyotes)
r is the rate of decrease per year (which is -3% per year or -0.03)
t is the time in years (which we need to find)
Putting all the information into the formula we solve.
<u>Note:</u> The logarithm formula we will use over here is 
So, we have:
Hence, after approximately 66.15 years, there will be 100 coyotes left.
Rounding, we will have 66 years
Im not sure Im just trying to get a answer and he a
Answer:
$47.97
Step-by-step explanation:
If Scarlett pays a 17% tip <u>in addition</u> to the price of the haircut, this means that she will pay 117% of the price of the haircut (as the price of the haircut = 100%).
convert percentage to decimal:
117% = 117/100 = 1.17
multiply the cost of the haircut by 1.17:
41 x 1.17 = 47.97
Answer:
$20.40
Step-by-step explanation:
First of all we find the value of 10%, so we do 24 ÷ 10 which equals to 2.4, then we find the halved value of 2.4, so we do 2.4 ÷ 2 which equals to 1.2. Then we add 2.4 and 1.2 together, which then gives us 3.6 as the number. We then subtract 3.6 from 24 which gives us 20.4, but we need in money terms so we change it to $20.40. Hope this helps.
Answer:
a) 3⁵5³.
b) 1
c) 23³
d) 41·43·53
e) 1
f) 1111
Step-by-step explanation:
The greatest common divisor of two integers is the product of their common powers of primes with greatest exponent.
For example, to find gcd of 2⁵3⁴5⁸ and 3⁶5²7⁹ we first identify the common powers of primes, these are powers of 3 and powers of 5. The greatest power of 3 that divides both integers is 3⁴ and the greatest power if 5 that divides both integers is 5², then the gcd is 3⁴5².
a) The greatest common prime powers of 3⁷5³7³ and 2²3⁵5⁹ are 3⁵ and 5³ so their gcd is 3⁵5³.
b) 11·13·17 and 2⁹3⁷5⁵7³ have no common prime powers so their gcd is 1
c) The only greatest common power of 23³ and 23⁷ is 23³, so 23³ is the gcd.
d) The numbers 41·43·53 and 41·43·53 are equal. They both divide themselves (and the greatest divisor of a positive integer is itself) then the gcd is 41·43·53
e) 3³5⁷ and 2²7² have no common prime divisors, so their gcd is 1.
f) 0 is divisible by any integer, in particular, 1111 divides 0 (1111·0=0). Then 1111 is the gcd
