Answer:
y= 100,000*(1.042^x)
Step-by-step explanation:
Giving the following information:
Present Value= 100,000 people
Growth rate (g)= 4.2% per year
To calculate the future value (y) of the in any given year (x), we need to use the following formula:
y= PV*(1 + g)^x
y= 100,000*(1.042^x)
For example, for 5 years:
y= 100,000*1.042^5
y= 122,839.66 = 122,839
The Lawrence family went out to dinner. The
total amount of dinner was $53.89, and they
decided to add an 18% tip. How much did the
waitress receive for a tip from the Lawrence
family?
Answer: 9.70$
Step-by-step explanation: The equation is 53.89 * 0.18 = 9.7002 but, If you round to the nearest hundred it is 9.70$. Hope this helped!!!
The amount of tip waitress get from the Lawrence family is $63.5902.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
The total amount of dinner was $53.89.
Tip= 18%
So, the tip amount will be
= 53.89 x 18/100
= 53.89 x 0.18
= 9.7002
And, the total amount to pay
= 53.89+ 9.7002
= $63.5902
Hence, the amount of tip waitress get is $63.5902.
Learn more about Percentage here:
https://brainly.com/question/29306119
#SPJ2
Alright here is a repost
Answer:
50 degrees
Step-by-step explanation:
180-130=50
Answer:
The answer was already given(50°), but I can explain it further.
Step-by-step explanation:
These are supplementary angles, two angles that, together, make 180 degrees.
We know the angle of one of them, 130°, and in order to find the other one, x, we have to subtract what the entire this equals, 180°:
180° - 130° = x
50° = x
x = 50°
I hope this helped you, even if this was two hours ago.
Can you please help me?
Answer:
-3, -4, -4, 0, 16, 64, 192.
Step-by-step explanation:
I don't know for sure if this is correct, but when i did it theses are the answers i got. You do y=8*2^x. Meaning you substitute the x for the x values such as -3, -2, and -1.
Also if you have one there's a setting you can go to on an actual calculator and type in this on a Y/X chart. I didn't use one this time because i don't have one, but thought you'd find that information useful.
31. Which equation can be used to describe the relationship between x and y shown in the graph below?
Study the graph below...
A. y = 45x − 1
B. y = −45x − 1
C. y = 54x − 1
D. y = −54x − 1
XA ) -
Calculate the volume of the prism by first finding the total number of half-unit
cubes that will fill it. There are 8 half-unit cubes in every unit cube.
23
A. Number of half-unit cubes = 10
V = 2 cubic units
B. Number of half-unit cubes = 20
V=2 cubic units
O C. Number of half-unit cubes = 20
V = 10 cubic units
D. Number of half-unit cubes = 10
V = 5 cubic units
Answer:
Option B will be your answer
Step-by-step explanation:
V=2 1/2×1/2×2
=2.5 cube
volume of 1/2 cubic units =)(1/2×1/2×1/2=0.125cube^3
2.5/0.125=20
Hope it helps...
v = 2½
number of half unit cubes = 20
Find the surface area of the triangular prism. The base of the prism is an isosceles triangle. The answer is _ cm^2
Thanks in advance!
Answer:
3408cm²
Step-by-step explanation:
The population of a city and 2005 was 18,000. By 2010, the cities population has grown to 32,800. It’s a population grows flow a linear model, what is the projected population for 2015?
Answer:
47,600
Step-by-step explanation:
The rate is (32,800 - 18,000) = 14,800 per 5 years
therefore :
in 2015 = 2010 + 5 years
the pop. will be :
32,800 + 14,800 = 47,600
The answer is 47,600.
Hope this helped :)
help me asap plss school is done in 4 mins plsssss help me asap
Answer:
3(y +8) (d+e) /4
Step-by-step explanation:
I gotta get to class too soon so my explanation here is just to get this sent. hopefully it does. I tried my best. could be wrong
Choose the monetary amount that is equivalent to 2 . $2.03 $0.30 $ 0.03 $ 2.30
(ill give 25) let r be the region enclosed by the y-axis, the line y = 2, the line y = 3, and the curve =. a solid is generated by rotating R about the y-axis, what is the volume of the solid?
If f(x) = 3x5 - 2x3 + 1, then f(-1) = ? A) -250 B) -248 C) -234 D) 0
Answer: D.0
Step-by-step explanation: i know am right, make me brainliest
Convert 5pie/3 radians to degree measure
Answer:
300°
Step-by-step explanation:
That'd be 5pi/3 radians. Note that 3pi/3 radians corresponds to 180° and that 6pi/3 corresponds to 360°. Thus 5pi/3 is in Quadrant IV, meaning that the angle in degrees is between 270° and 360°.
The "radians to degrees" conversion factor is (180°/pi), and so
5pi/3 radians works out to:
5pi/3 · 180° 5· 180°
----------------- = ---------- = 300°
3 pi 3
Leo flips a paper cup 50 times and records how the cup landed each time. The table below shows the results. RESULTS OF FLIPPING PAPER CUP Outcome Right-side UP Upside Down On its Side Frequency 10 18 22 Based on the results, how many times can he expect the cup to land on its side if it is flipped 1,000 times? 333 440 550 786
Answer:
The answer is 440
Step-by-step explanation:
I just took the test and got that question right
round 3.060 to the nearest whole number.
Answer:
3
Step-by-step explanation:
dude kinda obv that its 3
Answer:
answer would be 3
Step-by-step explanation:
2. A cow gives 24litre milk each day. If the milkman sells 75% of the milk, how many
liters of milk is left with him?
Answer: 6 liters
Step-by-step explanation:
24 liters
He sells 75%
24 x 0.75 = 18 liters
24 - 18 = 6
He still has 6 liters left
Please help this is for a friend with co vid- 19
Answer:
Hey I know this isn’t an answer but your bf Jordan told me to tell you he is looking for you and he needs to talk to you. Sorry again for wasting ur time but he kinda worried
Step-by-step explanation:
Select the correct answer.
What are the asymptote and the y-intercept of the function shown in the graph?
f(x) = 3(0.2)^x + 2
A. asymptote: y = -2
y-intercept: (0,5)
B. asymptote: y = 2
y-intercept: (0,5)
C. asymptote: y = 2
y-intercept: (0,4)
D. asymptote: y = -2
y-intercept: (0,3)
Answer:
B
Step-by-step explanation:
The function reaches the y-axis at the point (0,5).
The asymptote is the line that the function follows but never quite reaches. In this case, the function follows the path of y = 2. However, it never exactly fits the line.
The y-intercept is (0,5) and the asymptote is y = 2. The answer, then, is B.
Good luck ^^
The equation of the asymptote is y = 2 and the coordinate of the y-intercept will be (0, 5). Then the correct option is B.
What is asymptote?An asymptote is a line that constantly reaches a given curve, but does not touch at any infinite distance.
The equation of the function is given below.
[tex]\rm f(x) = 3(0.2)^x + 2[/tex]
The asymptote of the function is given as by substituting x as infinity, then the equation of the asymptote will be
[tex]\rm y = 3(0.2)^{\infty} + 2\\\\y = 2[/tex]
Then the y-intercept of the function will be given by substituting y = 0, then the y-intercept will be
y = 3(0.2)⁰ + 2
y = 3 + 2
y = 5
The coordinate of the y-intercept will be (0, 5).
Then the correct option is B.
More about the asymptote link is given below.
https://brainly.com/question/17767511
#SPJ5
Factor the difference of perfect squares. 4x^2 - 1
Answer:
(2x+1)(2x-1)
Step-by-step explanation:
4x^2-1
(2x)^2-1
(2x)^2-1^2
(2x+1)(2x-1)
Tommy is helping his mom at the grocery store. He notices that 5 pounds of potatoes cost $2.25. How much would 7 pounds of potatoes cost?
A. $3.45
B. $0.45
C. $3.15
D. $1.61
Answer:
Cost of 7 pound potato = $3.15
Step-by-step explanation:
Given:
Cost of 5 pound potato = $2.25
Find:
Cost of 7 pound potato
Computation:
Cost of 1 pound potato = 2.25 / 5
Cost of 1 pound potato = $0.45
Cost of 7 pound potato = 7 x Cost of 1 pound potato
Cost of 7 pound potato = 7 x 0.45
Cost of 7 pound potato = $3.15
PLEASE HELP!!! I WILL MARK!
Answer:
D. the average difference in height between each player and the mean height
Type the correct answer in each box. If necessary, use / for the fraction bar(s).
Find the solution for this system of equations.
12x + 15y = 34
-6x + 5y = 3
Answer:
x=5/6 and y=8/5
(5/6 , 8/5)
Step-by-step explanation:
You can use the elimination method! The point of this method is to add or subtract one equation from the other, multiplying them by constants if necessary, to cancel out one variable so you can solve for the other. Then, you can plug the value you got for your solution into either equation to solve for the other. I'll demonstrate.
Look at the two equations and the coefficients of both variables. You have 12x and -6x -- 6*2=12, so this is perfect. (You could also eliminate the y because 5*3=15, but I'll show you by eliminating the x instead.)
Here's what that looks like:
(-6x+1y=3)2
-12x+10y=6
So we just multiplied the second equation by 2 on both sides. Let's see how that helps us.
12x+15y=34
-12x+10y=6
If we add the two equations now, x will be canceled out and we can solve for y.
12x+15y=34
+(-12x+10y=6)
___________
0x+25y=40
25y=40
0x=0, so we can get rid of the x. Now, we need to solve for y.
25y=40
y=40/25
You probably know how to simplify fractions, so divide both the numerator and the denominator by 5 to get y=8/5.
Now you can use this value in either equation and solve for x. I'll use the first. (This is called substitution.)
12x+15(8/5)=34
12x+3(8)=34 <-- What I did here is cancel out the 5 in the denominator with 15 to leave 3, because 5*3=15.
12x+24=34
12x=10
x=10/12
x=5/6 (Divide the numerator and denominator by 2.)
You can write your answer as a point, too. (5/6 , 8/5)
Which of the following sets of points would create a rectangle when connected?
A.
(1,2) , (2,3) , (3,5) , (5,1)
B.
(2,1) , (3,2) , (5,3) , (1,5)
C.
(1,2) , (3,1) , (3,2) , (1,5)
D.
(1,2) , (3,2) , (3,5) , (1,5)
What is the length of cloth needed to make 24 shirts if each shirt is made from .75 yards of material?
18 yds.
B
23.25 yds.
с
32 yds.
D
51 yds
Answer:
18
Step-by-step explanation:
24*0.74 = 18
In the coordinate plane, what is the distance
between (-3, 5) and (-3,-8)?
Answer:
3
Step-by-step explanation:
Plug the coordinates into the distance formula to find that they are 3 units apart
Answer:
13 units
Step-by-step explanation:
sqrt (x2 - x1)^2 + (y2 - y1)^2
sqrt (-3 - (-3))^2 + (-8 -5)^2
sqrt (0)^2 + (-13)^2
sqrt 169
13
Hannah had 30 dollars to spend on 3 gifts. She spent 8 7 10 dollars on gift A and 4 2 5 dollars on gift B. How much money did she have left for gift C? Solve
Answer: [tex]\$16\dfrac{9}{10}[/tex]
Step-by-step explanation:
Given
Hannah had 30 dollars
Money spent on gift A
[tex]8\ \dfrac{7}{10}=\dfrac{8\times 10+7}{10}=\dfrac{87}{10}[/tex]
money spent on gift B
[tex]4\ \dfrac{2}{5}=\dfrac{22}{5}[/tex]
Money spent on gift C
[tex]\Rightarrow \text{Total-Money spent on (A+B)}\\\\\Rightarrow 30-\dfrac{87}{10}-\dfrac{22}{5}=30-\dfrac{87}{10}-\dfrac{44}{10}\\\\\Rightarrow \dfrac{300-87-44}{10}=\dfrac{169}{10}\\\\\Rightarrow \$16\ \dfrac{9}{10}[/tex]
Jessie needs to earn more than $160 every month.
B. Enter the minimum number of hours, to the nearest whole, Jessie would have to work to earn $160 in a month.
Answer:
divide 460/60
Step-by-step explanation:
60 rep one hour and you will find your answer
Factor the expression:
x2-1x-56
f (x) = -3x + 1
g(x) = x2 + 2x – 5
Find g (f (x))
Answer: f
= x = − 3 x + 1 = x = 1 4 g = x 2 + 2 x − 5f( x ) = f ( x )
Step-by-step explanation:
Find the area of the shaded region.
Answer:嘿，我不知道答案，但這段文字很酷
Paulie’s pizza is considering expanding into the pizza truck business. They calculate that the costs of a pizza truck will be $1,420 per month. If they sell pizzas for $12 each, how many will they have to sell in a month to make a profit of at least $3,400
Answer:
283 1/3 pizzas
Step-by-step explanation:
I did 3,400 div 12 = 1,420