Answer
a)
[tex] P(t) = 19100. e^{0.06t} [/tex]
b) P(8) =30866
Step-by-step explanation
Use formula:
[tex] P(t) = P. e^{rt} [/tex]
a)
Here, P = 19100
r = 6% = 0.06
[tex] P(t) = 19100. e^{0.06t} [/tex]
b) t = 2008 - 2000 = 8
[tex] P(8) = 19100. e^{0.06\times 8} [/tex]
[tex] P(8) = 19100. e^{0.48} [/tex]
[tex] P(8) = 19100\times 1.616\\\\
P(8) = 30,865.6\\\\P(8) \approx 30,866[/tex]
SOMEONE HELP PLEASEEE:(
Answer:
It's B
Step-by-step explanation:
Break it into groups
(x^2+3x)+(-5x-15)
Factor it out
x(x+3)-5(x+3)
which equals B
(x+3) (x-5)
Catherine is at the Supermarket, and knows that she is 50 yards from her school. The map on her phone shows that the school is \large \frac{3}{4} inch from her current location. If Catherine's current location is 3 inches from home on the same map, how far is Catherine from her home? a 112.5 yards b 200 yards c 250.5 yards d 150 yards
Answer:
Answer: b 200 yards
Step-by-step explanation:
Scaling
Real magnitudes can be scaled up or down to adapt to the size of a sheet of paper or the screen of a computer or phone.
Catherine knows she is 50 yards from the school and it's shown as a distance of 3/4 inch on her phone map.
We can calculate the scaling factor from the real distance to the map distance by dividing:
[tex]\displaystyle \frac{50}{\frac{3}{4}}=\frac{200}{3}[/tex]
Now she sees that she's 3 inches from home on the same map. This is equivalent to a real distance of:
[tex]\displaystyle 3\cdot \frac{200}{3}=200[/tex]
Catherine is 200 yards from her home.
Answer: b 200 yards
6(3x+5) and 15x+□+3x A 5
B 11
C 15
D 30
Answer:
30
Step-by-step explanation:
If you were to roll the dice one time what is the probability it will NOT land on a 5?
Answer:
as a percent or certainty?
Answer:
There is a 5/6 chance the dice will not land on 5.
Step-by-step explanation:
There are six sides on the dice and 5 is one out of those six options so we simply eliminate that option subtracting one out of six over all options.
helppppppppppppppp plssssssssssssssss
Answer:
hope his helps ...................
What is the equation of the line that is parallel to the line y = x + 4 and passes through the point (6, 5)?
y = x + 3
y = x + 7
y = 3x – 13
y = 3x + 5
Answer:
L = x - 1
Step-by-step explanation:
Let the equation of the line we are trying to find be L.
Since L is parallel to y, they would have the same gradient
So: L = x + c
c is the constant or the y-intercept
Sub in the point (6 , 5)
5 = 6 + c
c = -1
∴ L = x - 1
200 cups is equal to how many
gallons?
Answer:
12.5
Step-by-step explanation:
in liquid gallons
Answer:
12.5 us liquid gallons
Step-by-step explanation:
Hope rhis awnsers your question have a great day!
Write an equation of the line graphed
Answer:
x=-1
Step-by-step explanation:
its vertical and that's basically the only thing you can do i guess
so my question is that i have -2(p+3)+4p but i dont know what to do
Answer:
-2(p+3)+4p = 2p - 6
Step-by-step explanation:
Step 1: Distribute the -2 to the (p) and (3) which equals = -2p-6
Step 2: Combine Like Terms: -2p - 6 +4p --> 2p - 6
4 quarts per day. Express this rate of flow in liters per week.
Answer:
26.49787 or about 26.50 liters.
Step-by-step explanation:
4 quarts = 3.78541 liters
For the week = 3.78541 x 7 = 26.49787
An acute angle in one right triangle has the same measure as an acute angle in another right triangle. Name the theorem or postulate that is the most direct way to prove the triangles similar.
Answer:
Step-by-step explanation:
Right Triangle Similarity
Acute Angle Similarity
If one of the acute angles of a right triangle is congruent to an acute angle of another right triangle, then by Angle-Angle Similarity the triangles are similar.
In the figure, ∠M≅∠Y , since both are right angles, and ∠N≅∠Z .
So, ΔLMN∼ΔXYZ .
Leg-Leg Similarity
If the lengths of the corresponding legs of two right triangles are proportional, then by Side-Angle-Side Similarity the triangles are similar.
In the figure, ABPQ=BCQR .
So, ΔABC∼ΔPQR .
Hypotenuse-Leg Similarity
If the lengths of the hypotenuse and a leg of a right triangle are proportional to the corresponding parts of another right triangle, then the triangles are similar. (You can prove this by using the Pythagorean Theorem to show that the third pair of sides is also proportional.)
In the figure, DFST=DESR .
So, ΔDEF∼ΔSRT .
Taking Leg-Leg Similarity and Hypotenus-Leg Similarity together, we can say that if any two sides of a right triangle are proportional to the corresponding sides of another right triangle, then the triangles are similar.
Find the discriminant of 3x2 - 10x=-2.
Answer:
x= 4/5 or 0.8
Step-by-step explanation:
Answer: im going with the person on top so i dont have to do anything
Step-by-step explanation:
Find f(x + 3) if f(x) = 2x - 4
The table shows the number of toys sold at Penelope's Toys and Games store in different years. Find the rate of change in the number of toys sold for each time interval. During which time interval did the number of toys sold increase at the greatest rate?
Answer:
Year - (1993 - 1995)
Step-by-step explanation:
Rate of change in the number of toys sold = [tex]\frac{\text{change in number of toys sold}}{\text{Time interval}}[/tex]
In the interval (1990 - 1993),
Rate of change in number of toys sold = [tex]\frac{32000-20000}{1993-1990}[/tex]
= [tex]\frac{12000}{3}[/tex]
= 4000
In the interval (1993 - 1995),
Rate of change = [tex]\frac{42000-32000}{1995-1993}[/tex]
= [tex]\frac{10000}{2}[/tex]
= 5000
In the interval (2000 - 1995),
Rate of change = [tex]\frac{57000-42000}{2000-1995}[/tex]
= [tex]\frac{15000}{5}[/tex]
= 3000
In the interval (2006 - 2000),
Rate of change = [tex]\frac{63000-57000}{2006-2000}[/tex]
= [tex]\frac{6000}{6}[/tex]
= 1000
Therefore, rate of change in the number of toys sold is greatest in the interval (1993 - 1995).
I'll give brainly thing
Answer:
THE ANSWER IS B
Answer:
I would say your highlighted answer is the right one but theyres a site called Jiskha that can help better then brainly❤️
Step-by-step explanation:
74% of a university's freshman class are majoring in Economics. If 6290 students in
the freshman class are Economics majors, how many students are in the freshman
class?
PLEASE HELP MEEEE!!!
LOOK AT THE SCREENSHOT!!!
If the triangles shown to the right are congruent, write a congruence statement and give a reason why they are congruent.
Are the triangles congruent or not congruent?
A. Not congruent
B. Congruent
Write a congruence statement and give a reason why the triangles are congruent. Choose the correct answer below.
A. ΔSBC ≅ ΔDHF, ASA
B. ΔSBC ≅ ΔDHF, SAS
C. ΔSBC ≅ ΔDHF, SSS
D. The two triangles are not necessarily congruent.
Answer:
please I'm sorry please I don't know the answer please forgive me Okay
What is an example of a rational number that is not an integer?
Answer:
2.5 is a rational number which is not an integer. A rational number is a number which can be written as a ratio of two whole numbers (integers). For example 5 is a rational number since 5 can be written as ratio of 5 : 1 . 5 is also an integer.
1/2 4/3 3/4 all of these are rational but not integers
Write a system of equations to solve.
10. A woman's age is three years more than twice her son's age. The sum
of their ages is 84. How old is the son?
11. The length of a rectangle is three times its width. The perimeter of the
rectangle is 100 inches, What are the dimensions of the rectangle?
12. Benecio worked 40 hours at his two jobs last week. He earned $20 per
hour at his weekday job and $18 per hour at his weekend job. He
earned $770 in all. How many hours did he work at each job?
y
13. Choose one of Exercises 1-9 and graph its solution
Does the answer you found by substitution agree
with the answer you got by graphing?
graph #3
Answer:
10: the son is 12
11. W = 12.5 inches L: 37.5 inches
12. 25 hours at his weekday job and 15 hours at his weekend job.
hope you got 13 right! Also I don't really have a step-by-step explanation I kinda just did them in my head so be careful with them. Good Luck!
Step-by-step explanation:
:P
Find the slope of the line.
Can somebody please help me and/ or explain ?
Answer:
4/-2
Step-by-step explanation:
Start at a point where the line intersects a firm coordinate like y=2 then use rise/run rise is vertical and run is horizontal count from the intersection up to where the line intersects another firm point in this case y=6 then count the run which lands on x=-2 y=6 which gives you the slope of 4/-2
2) A snail moving at 3.6 m/h; convert to mm/s
Answer:
60mm/s
Step-by-step explanation:
Plz give brianliest and push the thanks button
Ava and her children went into a restaurant and will buy hotdogs and tacos. She must
buy no less than 8 hotdogs and tacos altogether. Write an inequality that would
represent the possible values for the number of hotdogs purchased, h, and the
number of tacos purchased, t.
Answer:
h+t (greater to or equal to) 8
Step-by-step explanation:
whoever helped me y'all is nice and beautiful
Answer:
6) round 287 to 300
3*300=900
7) round 1310 to 1000
6*1000=6000
8) round 62 to 60
9*60=540
(sorry i have to go i'll help w/ the rest later!)
Answer:
6. you can round 287 to the nearest 10 which will be 290 so 290 times 3 equals 870
7. round 1,310 to the nearest 100th which is 1,300 so 1,300 times 6 equals 7,800
8. round 62 to the nearest 10th which equals 60 then 60 times 9 equals 540
Step-by-step explanation:
9. round 486 to the nearest 10th which is 490 so 490 times 7 equals 3430 then mark unreasonable
10. round 1,240 to the nearest 100 which will be 1,200 so then 1,200 times 5 equals 6,000 then mark unreasonable
11. round 287 to the nearest tenth which is 290 so then 290 times 5 equals 2610
Find the equation of the line that is perpendicular to the given line and passes through the given point.
y = − 1/5x − 3; (13, 0)
The equation is y = ???
will mark BRAINLIEST
Answer:
(-4,22)
Step-by-step explanation:
is the right answer
Answer:
how many point do you have to have like 79 questions
Step-by-step explanation:
answer (-4,22)
Simplify the perfect square.
V64
Answer:
8?
Step-by-step explanation:
Do you mean [tex]\sqrt{64}[/tex]? If so, when simplified it becomes 8.
Is (9,5) a solution to the inequality y<5x+9?
Answer:
yes it is because 9 times 5 is 45 plus 9 is 54 and 54 is greater than 5
Answer:
yes, it is
Step-by-step explanation:
The soccer team is making a circle graph to keep track of this year's games. So far, they have entered the data you see. How many games have they played this year?
1) 15 games
2) 25 games
3) 20 games
4) 5 games
Answer:
20
Step-by-step explanation:
this is divided into 4 pieces and only 3/4 of them are wins. If it is 15 games that are won we have to divide 3 and 15 which is 5 so you just add 5 to 15. Ps im sorry if u didnt understand to well im not the best at explaining.
Answer:
20
Step-by-step explanation:
A red cross helicopter takes off from headquarters and flies 120 km at 45 degrees south of west. There it drops off some relief supplies, then flies 125 km at 20 degrees west of north to pick up three medics. If the helicoper then heads directly back to headquarters, find the distance and direction it should fly.
Answer:
129.5km
9.78° North of east
Step-by-step explanation:
Let say HQ is at the origin (x = 0, y = 0)
the coordinates of the helicopter after the 1st flight can be expressed below as
X1= -120 cos45=84.85km
Y1= -120 sin45= -84.85km
its coordinate after the 2nd flight can be expressed as
X2= x1 - 125sin20
= -84.85-42.75
=-127.6km
Y2= y1- 125cos60
=-84.5+62.5
=-22km
The distance and it's direction for it to fly back to its HQ can be calculated as
S= √(22^2 + 127.6^2 )
=129.48km
Tan θ= y2/y1
=22/127.6= 0.1724
Tan-1(0.1724)
= 9.78° North of east
Hence, the distance and direction it should fly is 129.48km and 9.78° North of east respectively
Write a linear function f with f(2)=−2 and f(1)=1.
Answer:
f(x) = -3x+b
Someone deleted my answer for no reason. I really don't like it when that happens. Anyway, here's the answer again :)
