Answers
Related Questions
Brian opened a bank account that compounded continuously. The amount, y, in Brian's account can be modeled by this equation.
y=nekt
Where n is the initial amount deposited,
t is the time in years, and
k is the growth constant.
Brian deposited $500 initially and did not make any more deposits or withdrawals. After 8 years, Brian's account has a balance of $625.
What is the value of k?
O A k =
In(.8)
8
O c. k=
In(500)
5000
O B. k=
In(625)
4000
O D. k=
In(1.25)
8
Answers
9514 1404 393
Answer:
D. k = In(1.25)/8
Step-by-step explanation:
Solve the equation for k. Maybe you want to put the numbers in first.
[tex]y=n\cdot e^{kt}\\\\625=500e^{8k}\qquad\text{use the given values}\\\\1.25=e^{8k}\qquad\text{divide by 500}\\\\\ln{(1.25)}=8k\qquad\text{take the natural log}\\\\\boxed{k=\dfrac{\ln(1.25)}{8}}\qquad\text{divide by 8}[/tex]
_____
That's about 2.7893%
Mr. Jackson earns $1,500 each week and his wife earns $850 a week. Each week they need to set aside $200 for food, $75 for gas, $625 for the mortgage, and $350 for savings. How much money will they have left each week?
Answers
Answer:
$1,100
Step-by-step explanation:
Given that
Earnings of Mr Jackson is $1,500
Earnings of his wife is $850
They need to set aside the following amounts
For foods, it would be $200
For gas, it would be $75
For Mortgage it would be $625
ANd, for savings, it would be $350
We need to find out the amount of money that they have left each week
So, the amount would be
= $1,500 + $850 - $200 - $75 - $625 - $350
= $1,100
Answer:
Step-by-step explanation:
The Hudson family is saving for a
family vacation to Disney World.
They determine that the trip will
cost $3,200. Mr. and Mrs.
Hudson have already set aside
$1,500 for the trip. If they leave
in 16 weeks, then how much
will they need to save
each week?
4/10 divided 1/3 = 6/5. 2/15. 5/6. 11/5
Answers
4x1=4
10x3=30
Simplified by dividing 2 on both side to get 2/15
Factor this trinomial.
x2 + x - 2
A. (x-2)(x - 1)
B. (x-2)(x + 1)
C. (x + 2)(x - 1)
D. (x + 2)(x+1)
SA
Answers
Answer:
factoring this trinomial of x2 + x - 2? i got you covered. it's good that this is a multiple choice question because you can work backwards. the answer is C because all you have to do is first multiply the 2 x's to make x to the power of two. then you multiply the first x with -1 to make -x. then you make 2x by multiplying the 2 with x and -2 by multiplying 2 by -1. then you combine the common factors.
Step-by-step explanation:
(x + 2)(x - 1)
(x)(x) = x2
2 x -1 = -2
x2 - x + 2x -2
x2 + x - 2
helppppppppppppppppp
Answers
Answer:
X should equal 65, sorry if I’m wrong
Step-by-step explanation:
(a) For real applications, the normal distribution has two potential drawbacks: (1) it can be negative, and (2) it isn’t symmetric. Choose some continuous random numeric outcomes of interest to you. Are either potential drawbacks really drawbacks for your random outcomes? If so, which is the more serious drawbacks and why?
(b) Many basketball players and fans believe strongly in the “hot hand.” That is, they believe that players tend to shoot in streaks, either makes or misses. If this is the case, why does the binomial distribution not apply, at least not exactly, to the number of makes in a given number of shots? Which assumption of the binomial model is violated, the independence of successive shots, or the constant probability of success on each shot? Or can you tell? Explain your reasoning.
(c) Your company needs to make an important decision that involves large monetary consequences. You have listed all of the possible outcomes and the monetary payoffs and costs from all outcomes and all potential decisions. You want to use the EMV criterion, but you realize that this requires probabilities and you see no way to find the required probabilities. What can you do?
(d) If your company makes a particular decision in the face of uncertainty, you estimate that it will either gain $10,000, gain $1000, or lose $5000, with probabilities 0.40, 0.30, and 0.30, respectively. You (correctly) calculate the EMV as $2800. However, you distrust the use of this EMV for decision-making purposes. After all, you reason that you will never receive $2800, you will receive $10,000, $1000, or lose $5000. Discuss this reasoning.
(e) In the previous question, suppose you have the option of receiving a check for $2700 instead of making the risky decision described. Would you make the risky decision, where you could lose $5000, or would you take the sure $2700? What would influence your decision?
(f) A potentially huge hurricane is forming in the Caribbean, and there is some chance that it might make a direct hit on Hilton Head Island, South Carolina, where you are in charge of emergency preparedness. You have made plans for evacuating everyone from the island, but duh n evacuation is obviously costly and upsetting for all involved, so the decision to evacuate shouldn’t be made lightly. Discuss how you make such a decision. Is EMV a relevant concept in this situation? How would you evaluate the consequences of uncertain outcomes?
(g) You often hear about the trade-off between risk and reward. Is this trade-off part of the decision making under uncertainty when the decision-maker uses the EMV criterion? For example, how does this work in investment decisions?
(h) Under what conditions would you prefer a simple exponential smoothing model to the moving averages method for forecasting a time series? Explain your reasoning!
Answers
hello all today's people are in the class of all the dues and then you will be able and send your friends and family members from your side of your home and get it right
A welcome mat in front of the hardware store is a half-circle. The straight side of the mat is 24 inches. What is the perimeter of the mat? Round to the nearest inch.
No links.
Answers
Answer:
To find the perimeter, we want to find the circumference of the whole circle, divide by 2, and add the 24 inches to get the total perimeter.
A semicircle is half a circle. If the straight edge of the semi circle is 24 inches, that makes the diameter of the full circle 24 inches as well.
To find the circumference of the full circle, we need the formula:
C = 2πr
Circumference = 2 x pi x radius
Radius is half of the diameter, so 12 inches.
C = 2 x pi x 12
C = 75.36 inches
75.36 is the circumference of a circle with a diameter of 24 inches. Divide this by two to get 37.68 inches, which is the length of the round part of the mat. Adding 24 inches for the straight side gives you the final answer, 61.68 inches, or ABOUT 62 inches.
A А
С
D
14
5
B
AD = [?]
Enter the number that belongs in
the green box
Enter
Answers
Answer:
CD = 14
Step-by-step explanation:
here's your solution
=> In ∆ ABD and ∆ CBD
=> AB = CB
=> Angle ABD = Angle CBD
=> DB = DB
=> hence, both triangle are congurent
By ASA (criteria)
=> so, AD = CD (by C.P.C.T)
=> CD = 14
=> AD = 14
hope it helps【◆◆】
Answer:
14
Step-by-step explanation:
AD and DC are equal
what is the effect on the graph of fx =1/x when it is transformed to g(x)=1/x - 7
a. the graph of f(x) is shifted 7 units to the left
b. the graph of f(x) is shifted 7 units down
c. the graph of f(x) is shifted 7 units up
d. the graph of f(x) is shifted 7 units to the right
PLEASE HELP
Answers
Answer:
b. the graph of f(x) is shifted 7 units down7 is a negative term here hence,it will go downThe effect on the graph of f(x) =1/x when it is transformed to g(x)=1/x - 7 is
the graph of f(x) is shifted 7 units down.
The correct option is (B).
what is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given:
g(x)=1/x - 7 and f(x)= 1/x
As, the transformation takes place so there is a negative seven.
Hence, the graph of f(x) is shifted 7 units down.
Learn more about graph here:
https://brainly.com/question/14375099
#SPJ2
Hii!! Please help me out. To help me understand the answer just say exactly which part I'm putting the number in and stuff.
Answers
Answer:
y = 4;
y = 7;
x = 6
Step-by-step explanation:
Given the rule, y = x/2, find the missing values as shown below:
✔️For the first row, to find y, substitute x = 8 into y = x/2,
y = 8/2
y = 4
✔️For the second row, to find y, substitute x = 14 into y = x/2,
y = 14/2
y = 7
✔️For the third row, to find x, substitute y = 3 into y = x/2,
3 = x/2
3*2 = x
6 = x
x = 6
A number pattern has the rule divide by 3 the fifth term of the pattern is 2 what is the second term of the pattern.
Answers
I need help with this math problem don't know how to do it.
Answers
Answer:
40
Step-by-step explanation:
The shape is a parallelogram.
formula = A = bh
b = 10
h = 4
10 x 4 = 40
b/4+ 2= -1
help me with this find b
Answers
Answer:
-12
Step-by-step explanation:
si miras la luna a traves de un telescopio q tiene un aumento de 40 veces Que tan grande se parecera a traves del telescopio?
Answers
Answer:
40 times bigger. because fold in this case means times like multiplying.
40 veces más grande. porque doblar en este caso significa tiempos como multiplicar.
please help (no links) or i will report you i just need answers
Answers
Answer:
15.) 104 ... I hope angles are not drawn to scale
16.) 144
17.) 37
Step-by-step explanation:
15.)
3x + 10 = 4x -12
22 = x
so 3x +10 = 76
180 - 76 = t = 104
16.)
2(21) + 36 + 90 + bcd + a = 360
a = 90 - 21 = 69
360 - (2(21) + 36 + 90 + 69) = bcd
bcd = 360 - 237 = 123
angle acd = 21 + bcd = 21 + 123 = 144
17.)
(5x - 7) + 90 + (3x + 1) = 180
8x -6 = 90
8x = 96
x = 12
so 5x - 7 = 53
90 - 53 = angle lmn = 37
9. Please help besties
Or user elpink25
Answers
Answer:
1
Step-by-step explanation:
The method I used is elimination.
x - 2y = 1
-x - 4y = -7 To find y, we need to cancel the x by using it's opposite. This also affects the other numbers in the equation. This makes positive 4 into a negative and positive 7 into a negative.
Now we are left with, -2y = 1
-4y = -7
Add and you get, -6y = -6
Divide -6y/-6 = -6/-6
Our answer is, y = 1.
Pleeeeeeeaaase answer quick. With explanation. Will give 40 points
Answers
Answer:
See attached
Step-by-step explanation:
Review the picture
Due today...
Explain how to use the area of a parallelogram to find the area of a triangle
!NO LINKS, NO FILES!
please :)
Answers
Answer:
If you draw a diagonal across the parallelogram from one vertex to the opposite vertex, you divide the parallelogram into two congruent triangles. Each triangle thus has 1/2 of the area of the parallelogram.
Anyone know the answer to this question?
Answers
A truck has a trailer that has a length of 20 feet, a width of 8 feet, and a height of 12 feet. What is the volume of the trailer?
Answers
Answer:
1920
Step-by-step explanation:
20*8*12=1920
Write down and simplify expression of the perimeter of the shape below.
Simplified Please !
Answers
Answer:
[tex]P = 4x+4[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
Determine the perimeter (P)
This is calculated by adding the measure of the three sides.
So, we have:
[tex]P = 2x-3 + x + 5 +x + 2[/tex]
Collect like terms
[tex]P = 2x +x +x-3 + 5 + 2[/tex]
[tex]P = 4x+4[/tex]
Factorize
[tex]P = 4(x+1)[/tex]
Hence, the perimeter is 4x + 4 or 4(x + 1)
Heme d hey the girl who helped me please hl
Answers
Answer:
Parallel segments → 1
perpendicular segments → 2
congruent segments → 3
[tex]---------[/tex]
hope it helps...
have a great day!!
If you change the sigh of a point y-coordinate, how will the location of the
point change?
Answers
Answer:
It will reflect across the x axis
Hope this helps!
PLS HELP!!!!! Which expression shows the product of two factors?
2 − 6
2 + 6
2( + 6)
(2 + ) + (6 + )
Answers
Answer:
2+6
Step-by-step explanation:
Answer:
2+6
Step-by-step explanation:
its 2 +6 Hope this helps.
Multiplying and simplify radicals!!
If u get it right I’ll give brainliest! (show work please)
Answers
Answer:
sorry, i couldn't show my work down below is a picture of the the answer tho Gomen
Step-by-step explanation:
Answer:
-30
Step-by-step explanation:
-3[tex]\sqrt{10}[/tex]*[tex]\sqrt{10}[/tex]=-3[tex]\sqrt{10}^2[/tex]=-3*10=-30
Round to the nearest angle. Plssss help:)
Answers
a^2 + 144 = 225
225 - 144 = 81
square root of 81 = 9
a = 9
$1000 is invested at 2.9% annual interest for 6 months.
a. Simple Interest b. Compound Interest
Answers
Answer:
a. Simple interest = $174
b. Compund interest = $1187.1
Step-by-step explanation:
Given the following data;
Principal, P = $1000
Interest, R = 2.9%
Time, T = 6 months
a. To find the simple interest;
S.I = (PRT)/100
S.I = (1000*2.9*6)/100
S.I = 17400/100
S.I = $174
b. To find the compound interest;
[tex] A = P(1 + \frac{r}{100})^{t}[/tex]
Substituting into the formula, we have;
[tex] A = 1000(1 + \frac{2.9}{100})^{6}[/tex]
[tex] A = 1000(1 + 0.029)^{6} [/tex]
[tex] A = 1000(1.029)^{6} [/tex]
[tex] A = 1000(1.1871)[/tex]
A = $1187.1
A rectangle is fenced off for a robot competition. The dimensions of the competition area are 35 feet by 25 feet. To help track the robots, the southwest vertex of the rectangle is assigned coordinates (0, 0) and the northeast vertex is assigned coordinates (35, 25). The robot that traveled from (3, 18) and moved in a linear path for 5 seconds. After 5 seconds, the robot’s position was at (31, 6). What is the approximate speed of the robot during the 5 seconds? Give your answer to the nearest whole number.
Answers
Answer:
The approximate speed of the robot during the 5 seconds is:
6 ft/sStep-by-step explanation:
To calculate the speed of the robot, you must begin with the positions, the first position (3, 18) and the second position (31, 6), you can see, in the height it moved from 3 to 31, it means 28 feet, in the width it moves from 18 to 6, it means 12 feet, with these data you can construct a triangle where you have the opposite leg and adjacent leg, now you must calculate the hypotenuse, because it is the linear path from the first position to the second position that the robot took, for this, you can use the Pythagoras theorem:
[tex]hypotenuse^{2}[/tex] = [tex]opposite leg^{2}[/tex] + [tex]adjacent leg^{2}[/tex][tex]hypotenuse^{2}[/tex] = [tex]12^{2} +28^{2}[/tex][tex]hypotenuse=\sqrt{ 12^{2}+28^{2} }[/tex][tex]hypotenuse=30.46 ft[/tex]With the value of the distance traveled, and the time used (5 seconds), we can calculate the speed with the next formula:
[tex]Speed =\frac{distance}{time}[/tex][tex]Speed = \frac{30.46 ft}{5 s}[/tex]Speed = 6.09 ft/sAs you need the speed in the nearest whole number, then:
Speed = 6 ft/sA bone that originally contained
150 mg of carbon-14 now contains
100 mg of the isotope. If the half-life
of carbon-14 is 5730 years, how old is
the bone?
Answers
Answer:
30 years
Step-by-step explanation:
How many solutions dose x+y=10 x+y=12
Answers
Answer:
There are infinite solutions.
Think about it. The equation says essentially:
12 + any number = 12 + any number.
y + 12 = y + 10 + 2
y + 12 = y + 12
y - y = 12 - 12
0 = 12 - 12
0 = 0
Step-by-step explanation: