Step-by-step explanation:
Given
No. of employees [tex]N(t)=500(0.02)^{0.7^{t}}[/tex]
(a)When the company opens i.e. at t=0
[tex]N(0)=500(0.02)^{1}=10[/tex]
There are 10 employees at the beginning
(b)when N=100
[tex]100=500(0.02)^{0.7^{t}}\\0.2=0.02^{0.7^{t}}[/tex]
Taking log both sides
[tex]\ln (0.2)=0.7^t \cdot \ln (0.02)[/tex]
[tex]0.7^t=\frac{\ln (0.2)}{\ln (0.02)}=0.4114[/tex]
again taking log
[tex]t\times \ln (0.7)=\ln (0.4114)[/tex]
[tex]t=\dfrac{\ln (0.4114)}{\ln (0.7)}=2.49[/tex]
(c)when t tends to [tex]\infty[/tex], [tex](0.7)^t\rightarrow 0[/tex]
So, [tex]N(\infty)=500\cdot(0.02)^0=500\times1=500[/tex]
i.e. there can be 500 employees at max
Independent Practice
Find the midpoint of the segment with the given endpoints.
K(23, 4) and W(–2, 16)
A.
(12.5, 6)
B.
(12.5, 10)
C.
(10.5, 10)
D.
(10, 10.5)
Answer:
its (10.5,10)
i got the answer from grad point
(GIVING BRAINLIEST!!)
There is 1/3 of a pie shared equally between 5 children. How much of the pie does each child receive?
A)1/9 pie
B) 1/15 pie
C) 1/18 pie
D) 1/20 pie
Answer:
B) [tex]\displaystyle \frac{1}{15}[/tex]
Step-by-step explanation:
Shared eqyally signals division:
[tex]\displaystyle \frac{1}{3} \div 5 = \frac{\frac{1}{5}}{3} = \frac{1}{5} \times \frac{1}{3} = \frac{1}{15} \\ \\ OR \\ \\ \frac{1}{3} \div 5 = \frac{1}{3} \times \frac{1}{5} = \frac{1}{15}[/tex]
I am joyous to assist you at any time.
What is tw if t=6 and w-3 =
Answer:
-18 or 18, the value of w is not clear, it looks like it can be either 3 or -3
Step-by-step explanation:
So if you substitute the variables for there actual value the equation would be 6(-3) or 6(3)
A negative times a positive is a negative so -3 or 3 times 6 is -18 or 18
27÷819=
give me the quotient for 27÷819
Answer:
0.03296703
Step-by-step explanation: Just put this in the calculator and it will give you an answer. If youb dont have a calculator then look it up on the computer!
~Cake Queen (:
Help
Question in picture
Answer:
B
Step-by-step explanation:
Notice that the y intercept is 125 and that each time week it goes down by 25 meaning the slope is equal to -25
this means our equation is
-25x+125=y which is the same as b
A sweater is on sale for 30% off. The price of the sweater is $40 how much money will be saved
One ounce of a yogurt contains of 1.2 grams of sugar. How many grams of sugar are in 14.25 ounces of yogurt?
Answer:
17.1 grams of sugar
Step-by-step explanation:
Just multiply them
Help what is 2% of 8 I need to know plz?
Srry I meant this
8m-6=2m-31
Giving away 100 points :)
Hope you have a nice day
Answer:
THANKS BRO
Step-by-step explanation:
Answer: No way!! Thank you so much!!
Step-by-step explanation:
helpppppp meeeeeeee plssssssessssss
Answer:ummm what do you need help w exactly
Step-by-step explanation:
You didn’t really show the whole graph and you didn’t really explain what yo7 need help with
We can think of 3 / 1/4 as the answer to the question "How many groups of 1/4 are in 3?". How many groups of 1/4 are in 3?
Answer:
12 groups
Step-by-step explanation:
According to the problem, calculation of the given data are as follows:
Given number = 3
Each group = 1/4 or 0.25
So, we can calculate the number of group in 3 by using following formula,
Number of groups = Given number ÷ Each group
By putting the value, we get
Number of groups = 3 ÷ 0.25
= 12
Hence, there are 12 groups of 1/4 in 3.
which of the following is equivalent to the expression below
Answer:
B
Step-by-step explanation:
If cosØ =-3/5 in quadrant 2, what is sinØ?
A. 3/4
B. 4/5
C. -3/4
D. -4/5
Answer:
B. 4/5
Step-by-step explanation:
Graph the equation using the slope and y-intercept.
y = 1/2x - 3
Answer:
Step-by-step explanation:
If a woman get 7000 dollars for every 3 hour how much will she make for 81 hours
Answer:
567000 dollars
Step-by-step explanation:
Straightforward if 7000 for 3 hours then 3*27=81 and 7000*81=567000
Solve For X:
(-3/4)x - 9 = -27
i need help asap.
What are equivalent yo 8.1
Answer:
The absolute value is 8.1 is = to -8.1
Step-by-step explanation:
That's the weirdest version of a question I've seen since the big brain beginner plays of among us.
anyone got an answer for this (don't mind the 160 i put. That answer is wrong)
Answer:
140°
Step-by-step explanation:
Angles in a triangle add up to 180
we can see it's an isosceles triangle so the base angles are the same
The missing angle inside the triangle would be...
180 - (70 + 70) = 40°
Angles on a straight line add up to 180
so 180 - 40 = 140°
Tam multiplied 2.13 and 4.62, as shown. But he forgot to put a decimal point in his
answer.
Complete the sentence below.
Answer: 9 and 8, greater than, less than
Step-by-step explanation: Got it right on TTM
Simplify -3x^2 + 7x + 2 + x^3 – x^2 – 9
Answer:
-3x^2 + 7x + 2 + x^3 – x^2 – 9
(-3x^2 + 7x-7+x^3-1x^2) the answer is in parentheses
In need of help with a math problem about domain :/
Which is the slope of a line through the points (-1, 2) and (5, 8)?
A. m = 1
B. m = 5/2
C. m = 5/3
D. m = 2
Answer:
A
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 2) and (x₂, y₂ ) = (5, 8 )
m = [tex]\frac{8-2}{5+1}[/tex] = [tex]\frac{6}{6}[/tex] = 1 → A
95% in simplest form please
Find the zeros of the function. Enter the solutions from least to greatest.
f(x)=(x + 4)^2- 25
Help plz and Thank you
Answer:
The x-intercepts are (-9,0) and (1,0).
Answer:
lesser x=−1
greater x =9
whats on top the food chain in the whole world
Answer: Orcas, Polar Bears, Humans, it complicated
Step-by-step explanation:
It's a hard question to answer because there is going to be all sorts of technicalities, like whales or sharks, and many other species in the ocean or in Antartica. But since humans are one of the smartest living things in the world, along with again more technicalities, it just is theoretical that humans are on the top of the food chain. Because we still are discovering new species and things all over the world.
Answer:
animals with no predetor such as humans, lions, tigers, cheetas, polar bears, eels, king cobras, and killer whales.
Solve For X
please help, thank you :}
Eric bought a canoe for $330.00. The sales tax was 5%. What was the total cost for the canoe?
Can somebody help me. Will mark brainliest.
Answer:
-6 9
Step-by-step explanation:
A dilation of 3 means you multiply the numbers on the graph times 3, getting you -6, 9.
can someone help me?
Answer:
4.5>2.89
Step-by-step explanation:
This question is asking for the comparison between the values of both numbers. 4.5 is greater than 2.89, and this can be written as 4.5>2.89
