Answer:42
Step-by-step explanation:
If an initial amount A0 of money is invested at an interest rate i compounded times a year, the value of the investment after t years is If we let n = 8, that is referred to as the continuous compounding of interest. Use L' Hospital's Rule to show that if interest is compounded continuously, then the amount after years is A=A0eit
Answer:
Following are the solution to the given point:
Step-by-step explanation:
Please find the comp[lete question in the attached file.
Given:
[tex]\bold{ \lim_{n \to \ \infty} (1+ \frac{r}{n})^{nt} =e^{rt}}[/tex]
In point 1:
[tex]\to y = (1+ \frac{r}{n})^{nt}[/tex]
In point 2:
[tex]\to \ln (y)= nt \ln(1+ \frac{r}{n})[/tex]
In point 3:
Its key thing to understand, which would be that you consider the limit n to[tex]\infty[/tex], in which r and t were constants!
[tex]=lim_{n \to \ \infty} \ln (y) = lim_{n \to \ \infty} nt \ln(1+\frac{r}{n})\\\\= lim_{n \to \ \infty} \frac{\ln(1+\frac{r}{n})}{\frac{1}{nt}}\\\\= lim_{n \to \ \infty} \frac{\frac{-r}{\frac{n^2}{(1+\frac{r}{n})}}}{- \frac{1}{n^2t}}\\\\= lim_{n \to \ \infty} \frac{\frac{rn^2t}{n^2}}{(1+\frac{r}{n})}\\\\= lim_{n \to \ \infty} \frac{rt}{(1+\frac{r}{n})}\\\\= \frac{rt}{(1+\frac{r}{0})}\\\\=rt[/tex]
In point 4:
[tex]\to \lim_{n \to \ \infty} = (1+\frac{r}{n})^{nt}[/tex] and
[tex]\to \lim_{n \to \ \infty} = A_0e^{rt}[/tex]
1) The newly opened Mario's Trattoria is expected to produce a continuous income stream at the rate of
R(t) = 130,000
dollars/year for the next 3 years. If the prevailing interest rate is 3.6%/year compounded continuously, find the future value of this income stream. (Round your answer to two decimal places.)
2) Suppose an investment is expected to generate income at the rate of
R(t) = 200,000
dollars/year for the next 9 years. Find the present value of this investment if the prevailing interest rate is 8%/year compounded continuously. (Round your answer to two decimal places.)
3) Camille purchased a 14-year franchise for a computer outlet store that is expected to generate income at the rate of
R(t) = 400,000
dollars/year. If the prevailing interest rate is 10%/year compounded continuously, find the present value of the franchise. (Round your answer to the nearest whole number.)
Answer:
Step-by-step explanation:
1) The newly opened Mario's Trattoria is expected to produce a continuous income stream at the rate of
R(t) = 130,000 to generate income at the rate of
R(t) = 200,000 Camille purchased a 14-year franchise for a computer outlet store that is expected to generate income at the rate of
R(t) = 400,000
-2(b+5)= -6
What is b?
Answer:
-2
Step-by-step explanation:
It would be =
-2(-2 + 5) = -6
4 - 10 = -6
-10 and a positive four is a -6
Sarah joined an online music store. She wants to spend no more than $75 at the music
store. The cost of her yearly membership is $15.99 and the price to download a song
$0.79. What number of songs can Sarah download and stay within her budget.
Answer:
sarah can buy 88 songs
Step-by-step explanation:
filler fbjebdjsndjen
Answer:
sarah has to give her 15.99 from 75 after that she will be left with 59.01 and with that she can buy 74 songs
The volume of blood pumped from your heart varies directly with your pulse rate. Each time your heart beats it pumps 0.06 liter of blood.
1. Write an equation that relates the volume of blood and pulse.
2. If your pulse is 74 bpm, how much blood is being pumped from your heart each minute?
What is the polynomial of least degree with the given zeroes -2 and 4?
Answer:
-2
Step-by-step explanation:
base on my stuck knowledge
TRUE OR FALSE?!?!?!!??!?!?!
Answer:
False
Step-by-step explanation:
Cause the graphs show false instead of being true
Simplify 3x ^ 2 - 4 +2x -1 + x^ 2 then evaluate for x = - 1
Step-by-step explanation:
4x^2+2x-5
4(-1)^2+2(-1)-5
4-2-5
2-5= -3
True False x-sqrt6 is a factor of x^4-36
graph 3x-2y=6 how do you graph this in algebra
Answer:
I don't have algebra but I suggest looking it up and it might show you at the very top.
Step-by-step explanation:
Hope this helps you:)
Rewrite the expression in the form b^n
Answer:
b 15/4
Step-by-step explanation:
Please help me I need help?!!!
Answer:
B
Step-by-step explanation:
Graph this line using the slope and y-intercept:
Y= 1/8X + 4
Click to select points on the graph.
10
9
8
o
6
5
4
3
2
1
0
1
2
3
4
5
6
7
8
9
10
Submit
Answer:
98765432123459 that is te answer
Step-by-step explanation:
n/4 + 1 =5 how do I solve this and show my work
Answer:
n/4 + 1 =5
n/4 = 5-1
n/4 = 4
n = 4*4
n = 16
Answer:
So do this,
Step-by-step explanation:
stand up and go ask your mom!
3. From the table below, find Prof. Xin expected value of lateness. (5 points) Lateness P(Lateness) On Time 4/5 1 Hour Late 1/10 2 Hours Late 1/20 3 Hours Late 1/20
Answer:
The expected value of lateness [tex]\frac{7}{20}[/tex] hours.
Step-by-step explanation:
The probability distribution of lateness is as follows:
Lateness P (Lateness)
On Time 4/5
1 Hour Late 1/10
2 Hours Late 1/20
3 Hours Late 1/20
The formula of expected value of a random variable is:
[tex]E(X)=\sum x\cdot P(X=x)[/tex]
Compute the expected value of lateness as follows:
[tex]E(X)=\sum x\cdot P(X=x)[/tex]
[tex]=(0\times \frac{4}{5})+(1\times \frac{1}{10})+(2\times \frac{1}{20})+(3\times \frac{1}{20})\\\\=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20}\\\\=\frac{2+2+3}{20}\\\\=\frac{7}{20}[/tex]
Thus, the expected value of lateness [tex]\frac{7}{20}[/tex] hours.
An expected value is the theoretical mean value of a numerical experiment over many repetitions of the experiment.
Expected value of lateness is [tex]\frac{7}{20}[/tex] hours.
Let us consider, P(x) is represent that probability of lateness and x represent number of hours late.
So, below a table is formed.
x 0 1 2 3
P(x) 4/5 1/10 1/20 1/20
From formula of expected value,
E(x) = ∑ x P(x)
[tex]E(x)=(0*\frac{4}{5} )+(1*\frac{1}{10} )+(2*\frac{1}{20} )+(3*\frac{1}{20} )\\\\E(x)=0+\frac{1}{10}+\frac{1}{10}+\frac{3}{20} \\\\E(x)=\frac{7}{20}[/tex]
So, expected value of lateness is 7/20 hours.
Learn more:
https://brainly.com/question/23286309
Solve: 2x + 15 = -3x
Please help me out! I need to solve for X
Answer:
X=-3
Step-by-step explanation:
2x+15=-3x
15=-5x
x=15/-5
x=-3
Answer:
x = -3
Step-by-step explanation:
2x + 15 = -3x
15 = -5x
x = -3
4252.50=(18000)(r)(54)
Step-by-step explanation:
do you want to find r?
so do 4252.50/ (18000*54)
Witch variable represents the y intercept
Answer:
B
Step-by-step explanation:
Y=mx=b
m= slope
b= y- intercept
x&y are variables
how many real solutions will y=x^2 and y=-2x have? what are the solutions?
Answer:
there is none
Step-by-step explanation:
Answer:
No solutions
Step-by-step explanation:
Real number solutions only or real and complex solutions. A solution to the system:
y=-2x+2
y=x2-2x+4
is the value of x such that when you plug it into both equations, they both produce the same value of y, or the value of x such that
-2x+2=x2-2x+4
solving this equation----------> x2=-2, taking square root of both sides gives x= ±√2i, or the system has no real solutions but has 2 complex solutions. If you graph both functions in the xy-plane, where x, y are real numbers, you' ll see they do not intersect, which implies there is no real number solutions.
A triangle has angles that measure 54.6° and 17.8°. Which equation can be used to find the value of x, the measure of the third angle in the triangle?
Answer:
58.6 + 17.8 + x = 180
Step-by-step explanation:
hope this helps
Does f(x)=|x|+5 go up or down
Answer:
up
Step-by-step explanation:
postive, up!
Answer:
..........UP..........
Amaia purchased two blouses and a skirt for a total of $32. The sales tax rate is 8%. How much total sales tax will Amaia pay on these items?
Answer:
2.56
Step-by-step explanation:
8% of 32 is 2.56
For all numbers x, f(x) = 3x + 3. What is the value of
f(3)?
Look at image which graph shows T (ABC)?
Answer:
A.
Step-by-step explanation:
That is a translation of 3 units left and 6 units down.
Which statement describes the expression 9(8 + 25)?
1.9 times the quantity 8 times 25
2.9 times the quantity 8 plus 25
3. 25 more than 9 times s
4.25 more tha 9 plus s
Answer:
2
Step-by-step explanation:
ez any thing else just hit me up of so
is 4.23x10^-5 greater than 1 or less than 1? explain how you know
Answer: Less than 1
Step-by-step explanation: 4.23 x 10^-5 simply translated to 0.0000423
which is less than 1.
Answer:
less than 1
Step-by-step explanation:
4.23 * 10^5 is less than 1
A snowboard shop charges $10, plus an additional #3 per hour to rent a snowboard. Write the equation for the line in slope-intercept form.
HURRY HELP PLS!!
Answer:
y = 3x + 10
Step-by-step explanation:
Answer:
im pretty sure it is (0,5) or (10,0)
Step-by-step explanation:
Tristan and two of his friends purchased tickets to a school play. Tristan paid for all the tickets with a $50.00 bill and received $23.00 in change. If Tristan used a coupon for 25% off, what was the original price for one ticket?
-$6.75
-$9.00
-$12.00
-$27.00
Answer: 27.00
Step-by-step explanation:
$50 - $23 = $27
Answer:
$27.00
Step-by-step explanation:
"D"
Please help me...I need to turn this in PLZZZZ!!!!!!
Answer:
i believe its C
Step-by-step explanation:
Answer:
52 degree angle
What is the factored form of x3 + 216?
A.
(x − 6)(x2 + 6x + 36)
B.
(x + 6)(x2 − 6x + 36)
C.
(x + 6)(x2 − 12x + 36)
D.
(x + 6)(x2 + 12x + 36)
Answer:
now using the formula (a-b) (a2+ab+b2)=a3-b3
=>x3-63
x3-216#answer
The factor of the cubic polynomial x³ + 216 will be (x + 6) and (x² – 6x + 36). Then the correct option is B.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The cubic polynomial is given below.
⇒ x³ + 216
Then the cubic polynomial is written as,
⇒ x³ + 6 × 6 × 6
⇒ x³ + 6³
We know that the formula of a³ + b³ is given as,
a³ + b³ = (a + b)(a² – ab + b²)
Compare the expression, we have a = x and b = 6. Then the expression will be
x³ + 6³ = (x + 6)(x² – 6x + 6²)
x³ + 6³ = (x + 6)(x² – 6x + 36)
The factor of the cubic polynomial x³ + 216 will be (x + 6) and (x² – 6x + 36).
Then the correct option is B.
More about the factorization link is given below.
https://brainly.com/question/6810544
#SPJ5