A person places $4080 in an investment account earning an annual rate of 5.7%, compounded continuously. Using the formula
V
=
P
e
r
t
V=Pe
rt
, 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 4 years.
Answers
We have been given that a person places $6340 in an investment account earning an annual rate of 8.4%, compounded continuously. We are asked to find amount of money in the account after 2 years.
We will use continuous compounding formula to solve our given problem as:
, where
A = Final amount after t years,
P = Principal initially invested,
e = base of a natural logarithm,
r = Rate of interest in decimal form.
Upon substituting our given values in above formula, we will get:
Upon rounding to nearest cent, we will get:
Therefore, an amount of $7499.82 will be in account after 2 years.
Answer:
5124.83
Step-by-step explanation:
r=5.7\%=0.057
r=5.7%=0.057
Move decimal over two places
P=4080
P=4080
Given as the pricipal
t=4
t=4
Given as the time
V=Pe^{rt}
V=Pe
rt
V=4080e^{0.057( 4)}
V=4080e
0.057(4)
Plug in
V=4080e^{0.228}
V=4080e
0.228
Multiply
V=5124.8281\approx 5124.83
V=5124.8281≈5124.83
Related Questions
Describe how to transform the graph of f(x)=x2 to obtain the graph of the related function g(x)=−2(x+1)2+1. Then draw the graph of g(x).
Answers
Answer:
to go from y=x² which has a minimum vertex at (0,0), you must shift the vertex one unit to the left and then one unit up to get a maximum vertex at (-1,1)
you can then plot points that can be created from an x-y table; such as (1,-7), (-1,1), (2,17), (-2,-1), etc
Step-by-step explanation:
First tranfer x to 1 units left .
y=(x+1)²Multiply by 2
y=2(x+1)²Flip the parabola (turn a negative)
y=-2(x+1)²Transfer y 1 units up
y=-2(x+1)²+1A quadrilateral has two angles that measure 200 and 30°. The other two angles are in a
ratio of 6:7. What are the measures of those two angles?
Answers
Answer:
60 and 70°
Step-by-step explanation:
the angle sum of a quadrilateral is 360
200°+30°+6x+7x=360°
13x=130°
x=10°
1st angle: 10°×6=60°
2nd angle: 10°×7=70°
Jane eats 2/3 of a cup of cereal for breakfast every day. If the box contains a total of 24 cups, how many days will i take to finish the cereal box? Show your work.
Answers
24*3/2= 36
Can you slove this please
Answers
Answer:
y=85°
p=100°
Step-by-step explanation:
Corresponding Angles Theorem
Alternate Exterior Angles Theorem
Answer:
y=85°
p=100°
I hope you get this right!!
:)
PLEASE HELP!!!
CORRECT ANSWER GETS BRAINLIEST
Answers
Answer:
I think D because 2 negative equal a positive
Step-by-step explanation:
hope this helps
Answer:
D
Step-by-step explanation:
I believe the correct answer choice is D!
This is because, knowing that the rule of signs is a negtive multiplied by a negative is a positive, that would make the 22[tex]\frac{2}{5}[/tex] a positive number and the 40[tex]\frac{1}{5}[/tex] a positive as well.
The parenthesis are representing the multiplication proccesses.
-(-x) = x ---> positive number
Geometry - Isosceles & Equilateral triangles
Solve for x *
Answers
Answer:
7
Step-by-step explanation:
all sides in equilateral triangle are equal so side to the bottom is 56ft
base sides same in isosceles triangle so 56 = 8x
8x=56
56/8 is 7
Please someone help me with this question
Answers
- BRAINLIEST answerer
Suppose that a family wants to start a college fund for their child. If they can get a rate of 7. 5%, compounded monthly, and want the fund to have a value of $75,000 after 18 years, how much should they deposit monthly? Assume an ordinary annuity and round to the nearest cent. A. $164. 98 b. $165. 30 c. $166. 21 d. $167. 52.
Answers
The amount that should deposit monthly is $164.98
The formula for calculating the compound amount is expressed as:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
P is the amount investedA is the amount after 18 years = $75000r is the rate = 7.5% = 0.075t is the time in years = 18 yearsn is the compounding time = 12 (monthly)Substitute the given values into the formula to have:
[tex]75000=P(1+\frac{0.075}{12} )^{12(18)}\\75000 = P(1.00625)^{216}\\75000 =P(3.84125)\\P = \frac{75000}{3.84125}\\P= \$19,524.89[/tex]
Hence the amount of money they started with is $19,524.89.
Amount to deposit monthly = 19,524.89/120
Amount to deposit monthly = $164.98
Hence the amount that should deposit monthly is $164.98
Learn more on compound interest here: https://brainly.com/question/24274034
Shanice won 88 pieces of gum playing the bean bag toss at the county fair. At school she gave four to every student in her math class. She only has 8 remaining. How many students are in her class?
Equation:
Answer:
Steps to solve:
Answers
80/4=20
Answer: there are 20 students in her class
Steps: Subtract what was remaining. Use the difference(80) and divide by how much she gave the students(4). After dividing the quotient would be 20 which is the amount of students in her class.
Answer:
20
Step-by-step explanation:
88 divided by 4 = 22, She gave 4 gums to each student, 8 divided by 4 = 2.
22 - 2 = 20
Write an equation of the line that passes through the given point and is (a) parallel and (b)
perpendicular to the given line
Answers
Answer:
parallel line: y=-3x+14
perpendicular line: y=1/3x +2/3
Step-by-step explanation:
For the parallel line, use the point-slope formula to find the equation of the parallel line (since the slope is the same as the given line and the point (4,2) is given. For the perpendicular line, use the opposite reciprocal of the slope of the given line and use the point-slope formula again. The point-slope formula is Y-Y1=m(X-X1)
make r the formula t=r/r-3
Answers
Answer:
R = 3t/t₋1
Step-by-step explanation: I'm not sure if its correct.
5 friends are sharing 8 pieces of pizza equally.How many pieces will each friend get to eat?
Answers
Answer:
8÷5 = 1 . 6
Step-by-step explanation:
They will divide the pizzas into 5 pieces further
what would the equation be?
Answers
Answer:
y = -2x + 30
Step-by-step explanation:
Firstly, choose 2 coordinates ( I chose [1,28] and [2,,26] ) next use y2-y1/x2-x1 to find your slope, in this case it is -2. Next, take two points and plug them into your equation with your slope to find your b, for this case the b is 30. Put it all together and you get y = -2x + 30
Brainliest would be appreciated. :-)
what is 850000+21195=
Answers
Answer: 871195
Step-by-step explanation:
PLEASE NO LINKS AND NO NEGATIVITY
Answers
Answer:
1.25 customers / minute
Step-by-step explanation:
To find the unit rate of how many customers came in per 1 minute, just do 15/12 = 1.25
Cody and Lisa both went bowling last weekend, but not together. Cody went during open bowling time,
paying $7 for shoe rental and $1 per hour. Lisa went on family night, when each hour was $3 and shoe
rental was $1. As it turned out, they played for the same number of hours and spent the same amount.
How many hours did each one bowl?
Write a system of equations, graph them, and type the solution.
Answers
If both Cody and Lisa play for t hours, then Cody pays a total of $(7 + t), while Lisa pays a total of $(1 + 3t). If they both pay the same amount P, then
7 + t = P
1 + 3t = P
Solve for t :
7 + t = 1 + 3t
t - 3t = 1 - 7
-2t = -6
t = 3
So Cody and Lisa each bowled for 3 hours, and they both ended up paying P = $10.
Lily hereeeeeeee (Rose's younger sister))))))))))
Please help me with mathhhhhh
the equation is 1 5/6 - 3/4
This is for a important test for advanced math in middle school
Answers
Answer:
1 1/12
Step-by-step explanation:
Make 1 5/6 improper fraction ( 1 times 6, then add 5 = 11)
Find common denominator, which is 24
6 times 4 equals 24; 11 times 4 equals 44
4 times 6 equals 24; 3 times 6 equals 18
44/24 - 18/24 (subtract only top numbers (44-18) = 26
26/24 simplified is 13/12 or 1 1/12
Hope it's right :)
At your school, the building is 20 feet tall, a tree's height is 252 inches, and the flagpole is 6 yards high.
Which of the three objects casts the longest shadow?
Answers
Answer: The Tree height is 21 feet.
Step-by-step explanation:
Let's convert the measurements to feet:
The Building is 20 feet.
The Tree height is 21 feet.
The Flagpole is 18 feet.
Therefore, the Tree is going to cast the longest shadow since it is the highest.
Which line is the STEEPEST?
A) y =1/3x-1
B) y = 8x – 1
C) y = 4x – 1
D) y = 2x – 1
Answers
Which of the following are equivalent to the expression 9/4 ( 1.75 - 2 1/4)? Select all that apply.
A. -9/8
B. 1.6875
C. -2 1/4
D. 1 1/8
E. 7/4
F. -1.125
Answers
Answer:
9/4 (1.75 - 21/4)
=9/4 (1.75 - 5.25)
=2.25 -3.5
= -1.25
I think your f answer is wrong
there should be -1.25
Doing Corrections
#14 plz and thank you
Answers
Answer:
Step-by-step explanation:
ANSWER THIS SECOND On a typical night at a restaurant, the patio lights use 210.28 kilowatt-hours of electricity and the courtyard lights use h kilowatt-hours of electricity.
Which of the following expressions represents the total number of kilowatt-hours of electricity the patio and courtyard lights use?
A.
210.28 ÷ h
B.
210.28 - h
C.
210.28 × h
D.
210.28 + h
Answers
Answer: choose the one that is addition... trust me
Step-by-step explanation:
Which expression below shows that 98 can be written as the product of prime numbers?
A 2 × 49
B 7 × 7 × 2
C 5 × 5 × 2
D 14 × 7
Answers
Answer:
Step-by-step explanation:
Option A
(-2)(-49)
=2×49
=98
Option B
(4)(-27)
=-108
Option C
(-7)(14)
=-98
Option D
(-9)(11)
=-99. As a result, there us only one correct option that equal -98 which is Option C. Hope it help!
Tell if each statement about the equations y = log5x and y = 5% are true or false.
Explain your answers.
a) The graphs of the equations are symmetric to each other over line y = 0.
b) The equation y = 5* is the exponential form of y = log5x.
c) The functions are not inverses of each other.
d) The equations are symmetric over the line y = x.
Answers
Answer:
a) false b) false c) false d) true
Step-by-step explanation:
Answer:
a) false b) false c) false d) true
Step-by-step explanation:
which is equivalent to -sinx for all values of x?
A. Sin(90*+x)
B.sin(90*-x)
C.sin(180*+x)
D.sin(180*-x)
Answers
Answer:
sin ( 180* + x ) = - x
Step-by-step explanation:
This is the correct answer
Find the circumference of the object. Use 3.14 or 22 7 for ml. Diameter:9
Answers
Answer:
c = 28.26 cm
Step-by-step explanation:
equation for circumference of a circle is 2πr
r = d/2 so here r = 9/2 = 4.5
2 x 3.14 x 4.5 = 28.26
Answer:
C ≈ 28.26 cm
Step-by-step explanation:
The circumference (C) is calculated as
C = πd ( d is the diameter ) , then
C = π × 9 ≈ 3.14 × 9 = 28.26 cm ( to the nearest hundredth )
These steps are from a chemistry lab.
Assignment:
1. Pour 0.4 grams of salt into beaker A.
2. Add 20% of the salt from beaker A to beaker B.
3. Add 3 ounces of water to beaker B.
4. Stir the solution in beaker B.
Step 2 asks the student to pour 20%, or 0.2 of the 0.4 grams of salt from beaker A into beaker B. How many grams of salt will go into the beaker?
_______________ grams
Answers
Answer: The answer to this question is 0.08. I hope this helps!
Step-by-step explanation:
0.2 x 0.4 - 0 x 0 equals 0 - 2x4 equals 8 so that will give you 0.08
Which graph represents f(x) = -1/4 x^6
Answers
Answer:
answer is B
Step-by-step explanation:
I used Desmos to graph the function
will mark brainliest (2 possible answers pls) ( NO LINKS OR ANSWERS WITH NO EXPLANATION)
Answers
Answer:
P = 22.22
Step-by-step explanation:
You are the CFO of a non-dividend paying firm that currently has excess cash reserves. You are preparing for an internal management meeting where dividends are on the agenda. You know that the CEO favors the commencement of a dividend program. You, however, oppose any dividend plan at this time. Write a good argument that you can use in the meeting to support your position.
Answers
The argument that can be used to oppose the dividend plan is that excess reserves can be used in financing positive NPV projects.
It should be noted that the excess reserves can increase the firm's value and the shareholders value.
Also, it should be noted that the shareholders are not required to pay any tax on an increase in their share value while the dividend payment results in tax payment.
In conclusion, the excess reserves can be used in generating further income for the company.
Learn more about dividend on:
https://brainly.com/question/3161471
