$8000 is compounded semiannually at a rate of 7% for 20 years.
A liquid solution is slowly leaking from a container. The graph shows the milliliters of solution, y, remaining in the container after x minutes.
How many minutes will it take for the container to empty if the solution continues leaking at the same rate? Show your work or explain how you know.
Answer:
90 minutes
Step-by-step explanation:
See attachment for graph.
First, we need to determine the slope.
When y = 900, x = 0
When y = 600, x = 30
The slope is then calculated as:
m = (y2 - y1)/(x2 - x1)
m = (600 - 900)/(30 - 0)
m = -300/30
m = -10
Next, we determine the equation of the line using
y - y1 = m(x - x1)
So, we have:
y - 900 = -10(x - 0)
y - 900 = -10x
y = 900 - 10x
When the container is empty, y = 0.
So, we have:
0 = 900 - 10x
Collect Like Terms
10x = 900
Solve for x
x = 900/10
x = 90
Read the problem in the box below. Make a list to help you find the correct
answer.
Radio listeners were asked to call in and pick their
two favorite rodents. The listeners had 4 choices:
Woodchuck, Prairie dog, Beaver and Chipmunk.
Which of the following is the complete list of the
possible pairs of rodents?
A. WP, PW, WC, PB, PC, BP
0 0
B. WP, WB, WC, PB, PC, BW
C. WP WB, WC, PB, PC, BC
D. WP CB, WC, CP, PC, BC
Answer:
C. WP WB, WC, PB, PC, BC
Step-by-step explanation:
List the possible combinations. (With no duplicates)
WP, WB, WC
PB, PC
BC
Now check your options for the answer with the combinations you had.
That is your answer.
What is the 8th term of the sequence 12, 17, 22, 27, 32,...
Answer:
47
Step-by-step explanation:
just keep adding by 5
Which is the correct chemical equation for photosynthesis?
Answer: The process of photosynthesis is commonly written as: 6CO2 + 6H2O → C6H12O6 + 6O2.
Step-by-step explanation: This means that the reactants, six carbon dioxide molecules and six water molecules, are converted by light energy captured by chlorophyll (implied by the arrow) into a sugar molecule and six oxygen molecules, the products.
PLEASE NEED HELP!!
ASAPPP
Answer:
Its the third option.
Step-by-step explanation:
No, all points on the line are solutions of the equation.
Answer:
answer the last yes because all the points meet
Step-by-step explanation:
Solve for :
8x - 3 = 5 (2x + 1)
Answer:
x = -4
Step-by-step explanation:
8x-3=5(2x+1)
8x-3=10x+5
-3=2x+5
-8=2x
-4=x
Miss Sherman hired Michael to make balloon animals for the children who visited a carnival Michael was paid a base fee of $100 plus a fee of $1.50 per balloon animal made if Michael was paid $295 how many balloon animals did Michael make?
Answer:
130 balloons.
Step-by-step explanation:
295-100=195$
195÷1.50=130 balloons.
Which fraction is equivalent to 2/6?
Answer:3/9
Step-by-step explanation: 2/6=1/3. And 1/3x3=3/9
Can someone please help me?
Answer:
232.05
Step-by-step explanation:
find out how much it started out with
so divide 46dollars and 50 cents by 3
then you'll have 15dollars and 5 cents
now you know thats how much earned at first you multiply by 15 and you get the answer above
good luck
Please help answer this ?!
Answer:
i think you have the right answer
Step-by-step explanation:
good job!
Answer:
A
Step-by-step explanation:
Unless the shape is dialatedthe side lengths remain constant because you are just moving its position ,
Pls help i dont understand :( will give Brainliest + 25 Points
A pump fills an empty pool at a rate of 500 cubic meters per hour. If one liter is equivalent to one cubic decimeter and 1 meter is equal to 10 decimeters, how many liters of water are in the pool half an hour after the pump starts?
If a liter equals a cubic decimeter and a meter equals ten decimeters, then 250,000 liters of water is filled in the pool in half an hour.
What is meant by cubic decimeter?1000 cubic centimeters make up one cubic decimeter. Repeating this procedure would allow us to translate between cubic centimeters and meters or between cubic decimeters and meters. We must keep in mind three conversions. 1000 cubic centimeters is equal to one cubic decimeter.
1 cubic meter = 1000 liters
because, 1 liter = 1 decimeter³
1 meter = 10 decimeters
1 decimeter= 0.1 meters
1 liter = 0.1³ meter³
1 m³ = 1000 liters
Given:
In 1 hour the amount of water filled = 500 cubic meters
In half an hour the amount of water filled = 250 cubic meters
= 250,000 liters.
Therefore, 250,000 liters of water exists filled in the pool in half an hour.
To learn more about cubic decimeter refer to:
https://brainly.com/question/536315
#SPJ2
find the midpoint (-6,-10) (-2,-8)
HARRY I NEED HELP FAST 15POINTS
Which expressions are quadratic expressions? Check all that apply
z^2
2x + 7x - 10
2x^2 + 9x - 7
500(0,25)^t -1
13x^3 + 21x^2-5
Answer:
First,Third Only
Step-by-step explanation:
Quadratic expression are those expression where the variable has a degree of maximum 2 and only the first and third expression have the degree of 2 in the choices. 2nd choice is a linear expression because both the variables have degree 1. 4th choice has a degree of t which means its an exponential expression, and 5th choice has the degree 2 and 3 but the maximum degree is 3 so it isn't a quadratic is a cubic equation.
Standard form of a quadratic expression
[tex]ax^2+bx+c[/tex]
If 125% of x is 225, what is the value of x?
Answer: 180
Step-by-step explanation: Try to find what 1% is, so do: 225/125, then you have 1%, now multiply that by 100 to find x. Your answer is 180.
what is the value of the expression below (4 * 7) - [(10 * 2 ) - 1 ]
Answer:
9
Step-by-step explanation:
A costume designer needs some silver and gold thread for the costumes for a school play. She needs a total of 240 yards. At a store that sells thread by the yard, silver thread costs $0.04 a yard and gold thread costs $0.07 a yard. The designer has $15 to spend on the thread.
How many of each color should she get if she is buying exactly what is needed and spending all of her budget?
Write an equation for the length constraint. Write an equation for the cost constraint. solution
Answer:
Where s represents silver and g represents gold,
Length constraint: s+g=240
Cost constraint: 0.04s+0.07g=15
s= 60
g=180
Step-by-step explanation:
The measurement of silver and gold threads in yards is given as 60 and 180 respectively.
What is a system of linear equations?A system of linear equations is a group of equations having same number of variables and degree.
For the n number of variables n number of equations are required.
On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.
The given problem can be solved as follows,
Suppose the number of yards for silver threads be x and that of gold be y.
Then the equation for the total yard is given as,
x + y = 240 (1)
And, the equation for the cost is,
0.04x + 0.07y = 15 (2)
The value of x from equation (1) is x = 240 - y.
Substitute the value of x in equation (2) to obtain,
0.04(240 - y) + 0.07y = 15
=> 9.6 - 0.04y + 0.07y = 15
=> 0.03y = 15 - 9.6
=> 0.03y = 5.4
=> y = 180
Substitute the value of y in x = 240 - y to obtain,
x = 240 - 180 = 60
Hence, the costume designer should get silver and gold thread of 60 yards and 180 yards respectively.
To know more about system of equations click on,
brainly.com/question/24065247
#SPJ2
Jesse fixed 40 desserts for a catering event.
Of these, 3/5 had chocolate. How many desserts did NOT have chocolate?
Answer: 16
Step-by-step explanation:
40 / 5 = 8 = 1/5 of 40
8 × 3 = 24 = 3/5 of 40
40 - 24 = 16
im kinda dumb here ... need help again
Answer:
with what lol
Step-by-step explanation:
Answer:need me points
Step-by-step explanation:
Simon began a weight-loss program. He loses weight every two weeks. His weight, in pounds, t months after he began the weight-loss program, is shown by the following expression.
210(0.94)2t
Which statement below best describes the base, 0.94?
A. Simon's weight before he beganm the weight-loss program
B.the rate which Simon loses weight
C. the monthly decrease in Simon's weight
D. the numbers of times Simon has lost weight since he began the weight-loss program
Max ran 15 meters, this morning. this afternoon, he ran 48 meters how many more meters did he run this afternoon.
A fruit salad recipe calls for 3/4 pound of apples and 2/5 pound of dates. What is the least common denominator of the fractions?
(1 Point)
Answer:
20
Step-by-step explanation:
because 4x5 equals 20
The distance (d) in meters that an ant can travel varies directly with the amount of time (t) in hours it spends walking. assume that an ants constant off proportionality is 18.write the equation to the represent the proportional relationship between d and t using the information given. What does the constant of proportionality represent in this problem?
The constant is 18
To find distance (d) you would multiply the constant by the time(t).
D = 18t
Distance is speed x time, so the given constant would be the speed of the ant.
Write 3.6 x 10^-3 in standard form.
Answer: 33
Step-by-step explanation: hope this helps
A ketchup company regularly receives large shipments of tomatoes. For quality control purposes, they take a sample of tomatoes from each shipment. If the sample shows convincing evidence that more than 8\%8%8, percent of the tomatoes in the entire shipment are bruised, then the company will request a new shipment of tomatoes. So the company tests H0 : p = 0.08 versus Ha : p > 0.08H, where p is the proportion of tomatoes in the entire shipment that are bruised.
One day, a supervisor takes a random sample of 600 tomatoes from a shipment and finds that 53 of the tomatoes are bruised, which results in a test statistic of z ≈ 0.75. Assuming that the necessary conditions are met, what is the approximate P-value associated with the significance test for this shipment?
Answer:
The value is [tex]p-value = 0.22663[/tex]
Step-by-step explanation:
From the question we are told that
The proportion of bruised tomatoes p = 0.08
The null hypothesis is [tex]H_o : p = 0.08[/tex]
The alternative hypothesis is [tex]H_a : p > 0.08[/tex]
The sample size is n = 600
The number of bruised tomatoes from the sample selected is k = 53
The test statistics is z =0.75
Generally the p-value is mathematically represented as
[tex]p-value = P(Z > z)[/tex]
=> [tex]p-value = P(Z > 0.75)[/tex]
From the z-table
[tex]P(Z > 0.75) = 0.22663[/tex]
So
[tex]p-value = 0.22663[/tex]
Answer:
P-value ≈ 0.2266
Step-by-step explanation:
52x16 please add explaining to show me how to do it
Answer: 832
Step-by-step explanation:
Below is how I solved it
You do 2 times 6, then 2 times 10, then 6 times 50, then 50 times 10. Make a table!
2 x 6 = 12
2 x 10 = 20
6 x 50 = 300
50 x 10 = 500
500 + 300 + 20 + 12 = 832
52 x 16 = 832
A family on vacation took a road trip to Florida. Use the table to determine whether an equation in the form y=ke can be written for the situation. Explain your answer.
Answer:
No. Since the value of the ratio
is not the same for each pair of values, the relationship is not proportional. So, an equation cannot be written for the situation. its c
Step-by-step explanation:
Pls help i dont understand :( Will give brainliest + 25 Points!!
Answer:
Answer is A
Step-by-step explanation:
The slope of a line in an equation like this is the number right before x so if the slope must be -5/6 the the only sequence with that slop is A.
Answer:
A) y=-5/6+1
Step-by-step explanation:
You want to find the equation for a line that passes through the point (6,-4) and has a slope of -5/6.
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was -5/6. So you can right away fill in the equation for a line somewhat to read:
y=-5/6x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(6,-4). When x of the line is 6, y of the line must be -4.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: b is what we want, the -5/6 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the point (6,-4).
So, why not plug in for x the number 6 and for y the number -4? This will allow us to solve for b for the particular line that passes through the point you gave!.
(6,-4). y=mx+b or -4=-5/6 × 6+b, or solving for b: b=-4-(-5/6)(6). b=1.
The equation of the line that passes through the point (6,-4) with a slope of -5/6
is
y=-5/6x+1
Give the 10th term of the following sequence:
1, 4, 7. 10
Answer:
28
Step-by-step explanation:
Answer:
29
Step-by-step explanation: