Colton is going to invest $59,000 and leave it in an account for 10 years. Assuming
the interest is compounded daily, what interest rate, to the nearest hundredth of a
percent, would be required in order for Colton to end up with $94,000?
Answer:
4.66
Step-by-step explanation:
A=P(1+
n
r
)
nt
Compound interest formula
A=94000\hspace{35px}P=59000\hspace{35px}t=10\hspace{35px}n=365
A=94000P=59000t=10n=365
Given values
94000=
94000=
\,\,59000\left(1+\frac{r}{365}\right)^{365(10)}
59000(1+
365
r
)
365(10)
Plug in values
94000=
94000=
\,\,59000\left(1+\frac{r}{365}\right)^{3650}
59000(1+
365
r
)
3650
Multiply
\frac{94000}{59000}=
59000
94000
=
\,\,\frac{59000\left(1+\frac{r}{365}\right)^{3650}}{59000}
59000
59000(1+
365
r
)
3650
Divide by 59000
1.593220339=
1.593220339=
\,\,\left(1+\frac{r}{365}\right)^{3650}
(1+
365
r
)
3650
\left(1.593220339\right)^{1/3650}=
(1.593220339)
1/3650
=
\,\,\left[\left(1+\frac{r}{365}\right)^{3650}\right]^{1/3650}
[(1+
365
r
)
3650
]
1/3650
Raise both sides to 1/3650 power
1.000127613=
1.000127613=
\,\,1+\frac{r}{365}
1+
365
r
-1\phantom{=}
−1=
\,\,-1
−1
Subtract 1
0.000127613=
0.000127613=
\,\,\frac{r}{365}
365
r
365\left(0.0001276\right)=
365(0.0001276)=
\,\,\left(\frac{r}{365}\right)365
(
365
r
)365
Multiply by 365
0.046578745=
0.046578745=
\,\,r
r
4.6578745\%=
4.6578745%=
\,\,r
r
Convert to percent (multiply by 100)
r\approx
r≈
\,\,4.66\%
4.66%
A А
С
D
14
5
B
AD = [?]
Enter the number that belongs in
the green box
Enter
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
For a camping trip, Jack is preparing water canteens. The canteens each hold 1/3 gallon of water.
How many canteens can Jack fill if he has 14 gallons of water?
Answer:
42 canteens
Step-by-step explanation:
1 gal = 3 canteens
14*3=42
If you change the sigh of a point y-coordinate, how will the location of the
point change?
Answer:
It will reflect across the x axis
Hope this helps!
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
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
Round to the nearest angle. Plssss help:)
Hii!! Please help me out. To help me understand the answer just say exactly which part I'm putting the number in and stuff.
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
4/10 divided 1/3 = 6/5. 2/15. 5/6. 11/5
How many hours of training would you need to have a salary of $2,620?
Answer:
80 Hours
Step-by-step explanation:
The Salary increases 200$ per 10 hours
Answer:
80 hours
Step-by-step explanation:
2620/122=10+70=80
Solve for x.
-1/5(x-4)= -2
Answer:
14
Step-by-step explanation:
Steps shown in the image
helppppppppppppppppp
Answer:
X should equal 65, sorry if I’m wrong
Step-by-step explanation:
$1000 is invested at 2.9% annual interest for 6 months.
a. Simple Interest b. Compound Interest
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
Which expression represents the phrase: 8 less than the product of 6 and a number, x?A. 8 − 6xB. 6x − 8C. (6 + x) − 8D. 8 − (6 + x)
Answer:
69 over 420
Step-by-step explanation:
trust me
I need help with this math problem don't know how to do it.
Answer:
40
Step-by-step explanation:
The shape is a parallelogram.
formula = A = bh
b = 10
h = 4
10 x 4 = 40
How many solutions dose x+y=10 x+y=12
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:
9. Please help besties
Or user elpink25
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.
Please can I have help on this
Answer:
64
Step-by-step explanation:
16/2
= 8
8 x 8 x (pie)
64(pie)
Answer:
From the diagram, the radius of the circle is 8cm therefore the area is
A =
[tex]a \: = \pi {r}^{2} [/tex]
= 201.1 cm^2
A baseball player reaches first base 30% of the times he is at bat. Out of 50
times at bat, about how many times will the player reach first base?
(write a proportion)
Answer:
15 timesStep-by-step explanation:
The proportion is:
k = 30% = 30/10 = 3/10Out of 50 times, the player will reach first base:
50*3/10 = 15 timesTotal times
30% of 5030/100(50)0.3(50)15timesProportion
k=30%=0.3
Help please make the letter in the brackets the subject of each formula
Answer:
v - u = 10t
t = 1/10x(v-u)
2. 1/6 x (m - 19) = n
3. u = d/t - at
4.- 1/6 x (A - P)
T = 2.5
Step-by-step explanation:
v = u + 10t
v- u = 10t
divide both sides of the equation by 10
t = 1/10x(v-u)
2. m = 6n + 19
subtract 19 from both sides of the equation
m - 19 = 6n
divide both sides of the equation by 6
1/6 x (m - 19) = n
3. d = ut + at²
subtract at² from both sides of the equation
d - at² = ut
divide both sides of the equation by t
(d/t) - at = u
4. P = A - 6D
subtract A from both sides of the equation
P - A = -6D
divide both sides of the equation by -6
-1/6(P - A) = D
(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!
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 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.
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 laptop has a listed price of $731.95 before tax. If the sales tax rate is 7.5%, find the total cost of the laptop with sales tax included.
Round your answer to the nearest cent, as necessary.
HELP QUICKKKK PLEASEEE
Answer:
786.85
Step-by-step explanation:
What is the value of the tangent of
Answer:
Step-by-step explanation:
With reference < H
perpendicular (p) = 12
base (b) = 5
so now
tangent of < H
= p / b
= 12 / 5
hope it helps :)
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?
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.
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
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%
What is the answer to this
Answer:
4)
Step-by-step explanation:
This is in standard form. To change it to slope-intercept form, you would divide 2x by 3y and you would divide 6 by 3y. That would make the equation y = [tex]\frac{2}{3}[/tex]x + 2. y = mx + b, and slope = m, so on answer choice 4, slope would equal [tex]\frac{2}{3}[/tex].
Heme d hey the girl who helped me please hl
Answer:
Parallel segments → 1
perpendicular segments → 2
congruent segments → 3
[tex]---------[/tex]
hope it helps...
have a great day!!
Pleeeeeeeaaase answer quick. With explanation. Will give 40 points
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 :)
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.
The volume of a cylinder is 347.6cm cube. If the area of the base 34.76cm squared, what is the height?
Answer:
115.3333
Step-by-step explanation:
346/3
Hope this helps. :)