A person places $308 in an investment account earning an annual rate of 2.1%,
compounded continuously. Using the formula V = Pert, where V is the value of the
account in t years, P is the principal initially invested, e is the base of a natural
logarithm, and r is the rate of interest, determine the amount of money, to the
nearest cent, in the account after 18 years.
Answers
Answer: 449.48
Step-by-step explanation:
The amount of money in the account after 18 years will be $449.5.
What is compound interest?Compound interest is the addition of interest to the principal sum of a loan or deposit. Mathematically -
[tex]$A = P(1 + \frac{r}{n})^{nt}[/tex]
where -
[A] = final amount
[P] = initial principal balance
[r] = interest rate
[n] = number of times interest applied per time period
[t] = number of time periods elapse
Given is that a person places $308 in an investment account earning an annual rate of 2.1%, compounded continuously.
We have the expression for compounding as -
V = P[tex]$e^{rt}[/tex]
V = 308 x [tex]$e^{(0.021)(18)}[/tex]
V = 308 x [tex]$e^{0.378}[/tex]
V = 449.5
Therefore, the amount of money in the account after 18 years will be $449.5.
To solve more questions on compound interest, visit the link below -
https://brainly.com/question/14295570
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Related Questions
What is -2+(-4) I need help with it because id not understnad how to add integers
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Answer:
-6
Step-by-step explanation:
2+4=6
turn the numbers into negatives
-2+-4=-6
3. Estimate the quotient. Round the divisor first. 482 ÷61=
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Answer:
8.033
Step-by-step explanation:
Could anybody help me please?
Without solving, identify if the equation will have a solution that is positive, negative, or zero.
A. Zero
B. Positive
C. Negative
Identify if the equation has
*one solution only
*infinite number of solutions
*one solution only
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A. Infinite number of solutions
B. No solutions
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Answer:
it is positive and it has 1 solution
Step-by-step explanation:
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Answer:
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PLSSS ANSWER I DONT HAVE LOTS OF TIMEEE!!?!?!?!?!?!??!??!??! Three families took a vacation to Phoenix. The Abbott Family spent $840 on four nights at their hotel and three airline tickets. The Baker Family spent $1,130 on nine nights at their hotel and two airline tickets. The Carson Family spent $2,080 on six nights at their hotel and five airline tickets. Two of the families paid the same price per night at their hotel and per airline ticket.
Which two families would have had to pay the same price per night at their hotel and per airline ticket to have the largest possible nightly hotel cost?
A.
the Abbott and Baker Families
B.
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C.
the Carson and Baker Families
D.
all three families would have to pay the same price
Answers
Answer:
c
Step-by-step explanation:
both of the familys have higher cost and have to stay longer
The chances of winning the Maryland lottery are one chance in twenty-two million. The probability would be considered an example of:_______
Answers
Answer:
Descriptive statistics
Step-by-step explanation:
The chances of winning the Maryland lottery are one chance in twenty-two million. The probability would be considered an example of Descriptive statistics
Descriptive statistics is referred to as the process of using a descriptive statistic. A descriptive statistic contains the quantitative summary from a sample data or information.The chances of winning the Maryland lottery are one chance in twenty-two million is an example.
Want to help me thanks if not ok to
will give brainliest
Answers
Answer:
The answer is 18.2
Step-by-step explanation:
17+24+19+17+14=91
91/5=18.2
Halla las dimensiones de un rectángulo de 48 cm2 de área sabiendo que es 2 cm
más ancho que alto
Answers
Answer:Alto 16cm Ancho 32cm
A+2A=48
3A=48
/3
A=16
Step-by-step explanation:
Pls help it’s algebra 1
Answers
Answer:
Y+1=-1/2(x-4) the very bottom choice trust me its in point slope form and since the 1 is negative it turns into a positive for the equation and adds to the Y
Step-by-step explanation:
plz help ill mark you brainliest
Answers
Answer:
cos 30= 0.1542
tan 48= 1.2001
sin 79= -0.4441
plz mark brainliest
Bill drove 406 miles in 7 hours. What was the average speed per hour? WILL GET BRAINLIEST!!!!!
Answers
Answer:
58 miles per hour
Step-by-step explanation:
Divide 406 by 7
8th GRADE MATH #7 On its first visit to the vet, Emma’s Kitten weighed 30 ounces. On its second visit, the kitten had gained 8 ounces. On its third visit, the kitten had gained another 6 ounces. What is the percent increase, rounded to the nearest percent, of the kitten’s weight since its first visit? *
Answers
Answer:
32%
Step-by-step explanation:
Encuentra la forma de la ecuacion de la recta que pasa por el punto P(-1,5) y que es perpendicular a la recta 2x + 3y - 8= 0
Answers
Responder:
2y-3x = 12
Explicación paso a paso:
La forma estándar de ecuación de una línea se expresa como;
y = mx + c
m es la pendiente
c es la intersección
Primero necesitamos la pendiente de la ecuación conocida;
Dada la ecuación 2x + 3y - 8 = 0
Vuelva a escribir en forma estándar;
2x + 3y = 8
3y = -2x + 8
y = -2x / 3 + 8/3
Por lo tanto, la pendiente de la línea dada es -2/3
Dado que la línea desconocida es perpendicular a la línea dada, el producto de sus pendientes será -1;
mM = -1
M = -1 (-2/3)
M = 3/2
La pendiente de la línea desconocida es 3/2
Obtener la intersección:
Sustituya m = 3/2 y el punto (-1, 5) en la expresión y = mx + cy obtenga c como se muestra;
5 = 3/2 (-1) + c
5 = -3/2 + c
c = 5 + 3/2
c = (10 + 3) / 2
c = 13/2
Obtenga la ecuación requerida;
Dado que y = mx + c
y = 3x / 2 + 13/2
multiplicar por 2;
2y = 3x + 12
2y-3x = 12
De ahí que la forma de la ecuación de la recta que pasa por el punto P (-1,5) y que es perpendicular a la recta 2x + 3y - 8 = 0 es 2y-3x = 12
Answer:
The answer is A, C, E
Step-by-step explanation:
I took the test
Please Help
Starr drives 495 miles in 9 hours. How many miles does Starr drive in 15 hours? 825 miles 975 miles 1,040 miles 1,375 miles
Answers
Answer:
825 miles
Step-by-step explanation:
Divide starting number by nine to get 55. Then multiply 55 by 15 to get 825 miles
Answer:
A 825
Step-by-step explanation:
If rectangle ABCD was reflected over the Y axis reflected over the X axis and rotated 180° where would point A
lie
Answers
Answer:
The answer is (-4,1)
Step-by-step explanation:
Answer:
(-4,1)
Step-by-step explanation:
HEYYYYYYYYYYY I NEED HELPPPPPP WILL GIVE BRAINLIST
Answers
Answer:
1/3
Step-by-step explanation:
There are six triangles
2/6 of them are green
We can simplify this to 1/3
Answer:
1/6
Step-by-step explanation:
X - 15 = 18
What is the value of x?
Answers
Answer:
x=33
Step-by-step explanation
2 step equation
add 15 to 18 because there's a minus in front of the 15
15+18=33
Answer:
X = 33
Step-by-step explanation:
bc 33 subtracted by 15 is 18
2+24/654-7986x76483=
Answers
Answer:
-610793236
Step-by-step explanation:
2+24/654-7986x76483 (punch it in the calculator)
= -610793236
or if you need to "show your answer"
2+24/654-7986x76483
= 2+24/654-610793238
= 2+ 0.36- 610793238
= 2+ (-610793238)
= - 610793236
PLEASE HELP. ITS ALGEBRA
Answers
Answer: the y intercept is 330. the rate of change is -55. the domain is infinity since it is linear i'm pretty sure
Step-by-step explanation:
Four times a number added to six equal 26
Answers
Answer:
x=5
Explanation:
4x + 6 =26
4x = 20
x = 5
Answer:
x = 5
Step-by-step explanation:
Equation: 4x + 6 = 26
Subtract 6 from both sides: 4x = 20
Divide each side by 4: x = 5
I hope this helped, please mark Brainliest, thank you !!
Rewrite the expression x^(-7/8) in radical form.
Answers
Answer:
1 / 8√ x^(7)
Tell me if you need the step by step process.
(+8) + (-2)
I need to understand this
Answers
Answer:
6
Step-by-step explanation:
(+8) + (-2): Okay so for this question you can just cancel the + in the middle and just do 8-2 which gives you 6, however this doesnt work for all questions so be careful
How many millimetres are there in 3
cm
Answers
Answer:
30 millimeters
Step-by-step explanation:
Every centimeter is 10 millimeters so 30 millimeters=3cm.
Hope this helps ;D
Which type of cell is most responsible for relaying information to the brain about external stimuli such as heat?
A.
nerve cells
B.
red blood cells
C.
muscle cells
D.
white blood cells
Answers
Answer:
A. Nerve cells
Step-by-step explanation:
Answer:
nerve cells
Step-by-step explanation:
Shown here is a mathematical step taken when solving an equation. Identify the mathematical reason or property used to simplify from the first step to the second step. 8D=56. D=7
Answers
Answer:
D. Division Property of Equality
Step-by-step explanation:
Given that [tex] 8D = 56 [/tex], to find the value of D, the property of equality that needs to be applied here would be the one that would make both sides equal by performing the same operation on both sides of the equation.
Thus:
Applying the the Division Property of Equality, we would divide both sides by 8.
[tex] \frac{8D}{8} = \frac{56}{8} [/tex]
[tex] D = 7 [/tex]
This will leave you with D standing alone. Of which value is 7.
2x +8= 3x-4 what is x equal two
Answers
Answer:
x= 12
Step-by-step explanation:
Find the equation of the circle with radius 3 and center (6,-2)
Answers
Answer:
(x - 6)² + (y + 2)² = 9
General Formulas and Concepts:
Pre-Calculus
Equation of a Circle: (x - h)² + (y - k)² = r²
(h, k) is the centerr is the radiusStep-by-step explanation:
Step 1: Define
Center (6, -2)
Radius r = 3
Step 2: Write equation
Substitute: (x - 6)² + (y + 2)² = 3²Evaluate: (x - 6)² + (y + 2)² = 9How many decimeters are in 3.5 dekameters
Answers
Answer:
350 decimeters
Step-by-step explanation:
I did it on my calculator
Should be easy points!
The sum of 2 times a number and twice its reciprocal is 20/3. Find the numbers.
Please show work because I am so lost.
Answers
Answer:
Let x represent the number from the sentence.
Step-by-step explanation:
2(x) + 2(1/x) = 20/3
2x + 2/x = 20/3
multiply both sides of the equation by 3x
6x + 6 = 20x
6x - 20x + 6 = 0
6x - 18x - 2x + 6 = 0
6x(x-3 -2(x-3) = 0
(6x-2 = 0 or x-3 = 0
6x = 2 or x = 3
x = 2/6
x = 1/3
Since x represented the number
Therefore x = 1/3 or 3
A. Last night, 8.2 x 105 fans
attended a concert, and each
fan recorded an average of
600 seconds of the concert on
their phones. What is the total
number of seconds recorded
from all of the fans at the
concert?
Answers
Step-by-step explanation:
8.2 x 105 = 861
861 x 600 = 516,600
Answer: 516,600