A person places $51200 in an investment account earning an annual rate of 5.4%, 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 6 years.
Answers
Answer:
7,078,912 cents
Step-by-step explanation:
Given the formula for calculating the value of the account in t years as;
V = Pe^rt
P is the principal initially invested
e is the base of a natural logarithm,
r is the rate of interest
t is the time
Given
P = $51200
r = 5.4% = 0.054
t = 6years
Substitute
V = 51200e^(0.054)(6)
V = 51200e^(0.324)
V = 51200(1.3826)
V = $70,789.12
V = 7,078,912 cents
hence the amount in the account after 6 years to the nearest cent is 7,078,912 cents
Answer:
Step-by-step explanation:
Related Questions
I'll give points and brainalist for answer / explanation
Answers
Answer:
D. 28.26 in²
Step-by-step explanation:
Area of a circle= πr²
r= 3
π= 3.14
A= (3.14)(3)²
A= 28.26 in²
An ice cream shop sells two type of cones: cake cones for $1.75 and waffle cones for $3.25. on tuesday, they sold 50 more waffles cones than cake cones. The total money they collected on cone sales on tuesday was $1422.50. How many cake cone did they sell on tuesday? ( this is a matrix word problem)
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The total surface area is _ square inches
Answers
The midpoint between x and 27 is -3. Find x.
Answers
Answer:
-33
Step-by-step explanation:
27-(-3)=30
-3-30=-33
j varies directly with h and u
Answers
Answer:
Im sorry in order for us to answer this question you have to use real words and add details to your question and with complete sentences.
Thank You
Suppose you are taking the bus home, and can take either Route 51 or Route 82. You know that the Route 82 will arrive at the bus stop in exactly 5 minutes, but because Route 51 is unreliable, you believe that the amount of time until it arrives is uniformly distributed between 0 and 20 minutes. You take the first bus that arrives. Let T be the number of minutes you wait until you board a bus. Find E[T].
Answers
Answer:
E[T] = 10
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distribution has two bounds, a and b, and the expected value of the uniform distribution is given by:
[tex]E = \frac{a+b}{2}[/tex]
Uniformly distributed between 0 and 20 minutes.
This means that [tex]a = 0, b = 20[/tex]
Let T be the number of minutes you wait until you board a bus. Find E[T].
This is
[tex]E[T] = \frac{a + b}{2} = \frac{0 + 20}{2} = 10[/tex]
E[T] = 10
Convert 50°F to degrees Celsius.
If necessary, round your answer to the nearest tenth of a degree,
Answers
Answer:
10 degree Celsius
Step-by-step explanation:
solving a system of linear equations algebraically:
Question:
find the value of x in the solution to the system of equations shown. y=12x+7
y=-6x+25
answer choices:
x=1
x=1.78
x=3
x=5.33
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It was so easy xD
its x=1
y=12×1+7
y=-6×1+25
=19
help plz ill give extra points
Answers
Explanation:
90-15= X
X=16
Abraham's soccer team won 2/3 of its games. The team won 14 games,
how many games did they play this season?
Answers
Translate into algebra: 2/3x = 14
14/(2/3)/21
21
Answer: 21
Step-by-step explanation:
First, divide 14 by 2 which is 7. Then multiply 7 by 3 because it's 2/3 so that is 21. The answer is 21
f(x)=x² g(x) = (x + 3)2 +5 We can think of g as a translated (shifted) version of f. Complete the description of the transformation. Use nonnegative numbers. To get the function g, shift f up/down by units and to by units. the right/left
Answers
Answer:
Me puedes informar mas?
find the standard form of the equation of a parabola with a vertex at the origin and with a focus at (-4,0) and a directrix at x=4
Answers
I need help please.
Answers
Answer:
[tex] {120m}^{3} [/tex]
Remember to find the volume it is the
length x height x breadth
giving the brainliest answer to who ever can help me out!!! AND has the correct answer need help asap!?!!
Answers
Answer:
caca water
pee water
Step-by-step explanation:
Which of the following is an odd function? • ) 1x) = 3x2 + x Nx) = 4x +7 1x) = 5x + 9 1x)= Br + 2x
Answers
Which shows a rational number plotted correctly on a number line?
Answers
Answer:
none of the 3 showing are correct
Step-by-step explanation:
Answer:
Pretty sure its A hope it helps! But i have to get back to my test .
Step-by-step explanation:
WILL GIVE BRAINLIEST!!
How do u find perimeter and area of paralellogram. Also how to give brainliest.
Answers
Answer:
It can be shown that opposite sides of parallelogram must be congruent , that opposite angles are also congruent , and that consecutive angles are supplementary . ...
The perimeter of a parallelogram is the sum of the lengths of its four sides. ...
Therefore, the perimeter is 6+10+6+10 or 32 cm.
Step-by-step explanation:
Answer:
Perimeter is always the same, add the outer lengths of all the sides. A+B+A+B=T
Or
2(A+B)
Area is just B * H when you have the height available.
You can also use a trig function A = ab sin (x)
Find the measure of 41.
s
839
41
41 = [?]
Answers
<1=97°
steps:
<1+83=180 co interior angle
<1=180-83=97°
Which expression represents the number 142000 in Scientific Notation ?
Answers
Answer: 1.42 x 10^5
Step-by-step explanation:
Scientific Notation usually express in the form of [tex]c* 10x^{n}[/tex], where c is between 1 and 9.
142000
= 1.42 x 10^5
Sally has a clock with a minute hand that extends to the clock's edge. The 10 points
minute hand is 5.25 inches long. What is the CIRCUMFERENCE of the
clock? *Hint* the minute hand is the radius. *
16.485 inches
32.97 inches
about 86.55 inches
None of the above
Answers
Answer:
no se ingles así que no se pero te doy gracias por los puntos
Find the coordinates of the point (a, b).
a = ?
(0, 1)
0 1
2
(a, b)
O v2
O v2
2.
1(-1,0)
रा
45°
DONE
(1,0)
b= ?
1
O v2
O v2
2.
Зл
2
(0, -1)
Answers
9514 1404 393
Answer:
(a, b) = (√2/2, √2/2) . . . . . choice C in each case
Step-by-step explanation:
The points on a unit circle will not have coordinate values greater than 1 (eliminates √2). The coordinates will only be 0 or 1 if the point is on one of the axes. The coordinates (a, b) of the point at 45° are ...
(cos(45°), sin(45°)) = (a, b) = (√2/2, √2/2)
The coordinate of point (a, b) is (√2/2, √2/2)
Coordinate of a point on a circleNote that the points on a unit circle will not have coordinate values greater than 1.
The coordinates will only be 0 or 1 if the point is on one of the axes. The coordinates (a, b) of the point at 45° is given according to the coordinate point (cos45, sin45)
a = cos45 = √2/2
b = sin45 = √2/2
Hence the coordinate of point (a, b) is (√2/2, √2/2)
Learn more on unit circle here: https://brainly.com/question/23989157
The table shows a function. Is the function linear or non linear
Answers
Answer:
To see if a table of values represents a linear function, check to see if there's a constant rate of change. If there is, you're looking at a linear function!
Ayuda por favor urge
Answers
Answer:
x = 4
Step-by-step explanation:
x + x + 6 + 6 = x + 8 + 8
2x + 12 = x + 16
2x + 12 - 12 = x + 16 - 12
2x + 0 = x + 4
2x = x + 4
2x - x = x + 4 - x
2x - x = x - x + 4
x = 0x + 4
x = 0 + 4
x = 4
Chequando Respuesta :
x = 4
x + x + 6 + 6 = x + 8 + 8
(4) + (4) + 6 + 6 = (4) + 8 + 8
4 + 4 + 6 + 6 = 4 + 8 + 8
8 + 6 + 6 = 12 + 8
14 + 6 = 20
20 = 20
Ambos lados de la ecuacio'n son igual cuando x = 4, y esto confirma que la respuesta es corecta, que x = 4 en este problema.
Answer the question
Answers
Answer:
I think it's C
Step-by-step explanation:
Hope this helps you
. You draw a card from a well-shuffled deck of 52 cards. If you get a red card, you win nothing. If you get a spade, you win $4. For any club, you win $8 plus an extra $10 for the ace of clubs. Answer parts (a) and (b). 2(a). Create a probability model for the amount you win at this game. (Enter probabilities as reduced fractions)
Answers
Answer is in the file below
tinyurl.com/wtjfavyw
Help please I will give 50 points
Answers
[tex]7(6 + y)[/tex]
[tex](y \times 6) + (y \times 7)[/tex]
[tex]6(y + 7)[/tex]
[tex](y \times 6) {y}^{2} [/tex]
Which statement are true regarding undefinable terms in geometry
Answers
Answer: A plane has two dimensions because it is a flat surface that has length and width but no depth.
Answer:
Surface answer
Step-by-step explanation:
Because the surface has a length and width and does not have a depth
estimate and calculate 18686+17544?
Answers
Answer:
I think its gona be aroundddddddddddddddddddd 30,000
oh rats.. i was in that area tho ........36,230
I’ll give points + brainalist for answer / explanation
Answers
Answer:
C. the circumference of a circle
Step-by-step explanation:
The perimeter of a square is the length of the outside, which is found by adding all the side lengths. The circumference of a circle is similar because it is also the length of the outside of the shape.
A city map is laid out on a coordinate grid with City Hall at the origin. Each unit on the grid represents a distance of one city block.
Max spends the day running errands and visiting the following locations before heading back to his apartment.
Location Coordinates
Post Office (–15, –4)
Library (–15, 16)
Police Station (–3, 16)
Bank (–3, 8)
Coffee Shop (4, 8)
Pet Store (4, –4)
Grocery Store (–8, –4)
Which of the following options has a distance of 12 city blocks? Select three that apply.
HURRY
Answers
Answer:its library to police station
Step-by-step explanation: