Answer:
11842.6541≈11842.65
Step-by-step explanation:
The amount of money to the nearest cent in the account after 18 years is
$11842.75.
What is Continuous compounding?Continuous compounding is the mathematical limit that compound interest can reach if it's calculated and reinvested into an account's balance over a theoretically infinite number of periods. While this is not possible in practice, the concept of continuously compounded interest is important in finance. It is an extreme case of compounding, as most interest is compounded on a monthly, quarterly, or semiannual basis.
A = P × [tex]e^{rt}[/tex]
where,
A = Amount of money after a certain amount of time
P = Principle or the amount of money you start with
e = Napier’s number, which is approximately 2.7183
r = Interest rate and is always represented as a decimal
t = Amount of time in years
Given here,
Principal amount (P) = $3610,
Interest rate (r) = 6.6% = 6.6/100 = 0.066
Amount of time (t) = 18 years
Therefore, Amount after 18 years will be A = P × [tex]e^{rt}[/tex]
A = $3610 × [tex]2.7183^{0.066 *18}[/tex]
A = $3610 × 3.2805
A = 11.842.7482
A = $11842.75
Hence, The amount of money to the nearest cent in the account after 18 years is $11842.75
Learn more about continuous compounding here:
brainly.com/question/30033245
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the root of equation 1/x-1 +1/x-2 = 1/x-3
Answer:
The roots of the quadratic equation are , .
Step-by-step explanation:
The roots of the quadratic equation are , .
Step-by-step explanation:
As given the equation in the form
Simplify the above equation
(x-2)-x = 3x × (x-2)
x-2 - x = 3x² - 6x
3x² - 6x + 2 = 0
As the equation is written in the form ax² + bx + c = 0
a = 3 , b = -6 , c = 2
Put all the values in the above equation
Thus
Therefore the roots of the quadratic equation are , .
Kelly was building a bed for her dollhouse. She used her bed, which is 4 feet × 6 feet, as a guide. She scaled down the dimensions of her bed by a factor 1 over 5. What are the dimensions of the model bed she built?
0.8 foot × 1.2 feet
0.4 foot × 0.6 foot
0.08 foot × 0.12 foot
0.04 foot × 0.06 foot
Answer:
A
0.8 foot × 1.2 feet
Step-by-step explanation:
Expression 3x²+4x-5
x=0
Answer:
x = {1/3, 0}
Step-by-step explanation:
What is the value of x?
Enter your answer, as a decimal, in the box.
Answer:
Step-by-step explanation:
The following ratio solves the problem
AM/MN = x / MP
(67.2 - 32) /67.2 = x / 81.9
35.2 / 67.2 = x / 81.9
Cross Multiply
67.2 * x = 81.9 * 35.2
67.2 x = 2882.88
Divide by 67.2
x = 2882.88 / 67.2
x = 42.9
Write down the next two terms in this number pattern
19, 14, 9, 4,
Answer:
points. points.
Step-by-step explanation:
pointssss
also, -1, -6
Which coordinate plane shows the graph of 3x + y > 9?
Answer:
Here is the graph.
How long is the missing side length?
1 point
12.2
4.6
7.6
11.3
ОО
ОО
127.7
196
Answer:
Figure it out
Step-by-step explanation:
i am bad with money problems help meh please ;-;
Answer:
b
Step-by-step explanation:
Answer:
4.96*6.57*8.02*2.31=603.716984464
help pls i will give BRIANLY
cat is to feline as____is to porcine
Answer:
pig Lol
Step-by-step explanation:
but seriously
A pound of blueberries cost $3.98 and a pound of clementines cars $2.49 what is the combined cost of 0.6 pound of blueberries and 1.8 pounds of clementines
3 A Gas station A charges $3.50 per gallon of gas plus 58 for a car wash. Gas station B charges $3.25 per gallon of gas plus S10 for a car wash. How many gallons of gas must a customer purchase for the total cost to be the same at both gas stations?
9514 1404 393
Answer:
8 gallons
Step-by-step explanation:
The $2 difference in the price of a car wash is made up by the gas purchase at the rate of $0.25 per gallon. So, it takes ...
$2/($0.25/gal) = 8 gal
to make the costs the same.
The customer must purchase 8 gallons for the total cost to be the same at both gas stations.
___
3.50g +8 = 3.25g +10 . . . . costs at each station for g gallons of gas + wash
0.25g = 2 . . . . . . . . . subtract 3.25g+8 from both sides
g = 2/.25 = 8 . . . . . . the way we did it above
their is no point for brainly if you need to sign in I don't wanna be mean tho
but it helps with homework and learning how to do stuff you dont know how to do
What would Hope be attempting to find if she writes d(4) = 78(4)?
Answer:
d=78
Step-by-step explanation:
so you would divide both sides of the equation by 2×2
d×4÷(2×2)=78×4÷(2×2) <- you would do this to get rid of 4 so you cna get the d alone
d=78×4÷(2×2) <- thats the other side of the equation btw
then it would be:
d=39×2
d=78
What is AC for brainliest
•Triangle 1
#Find CD first use tan formula
tan(∅) = opposite / adjuscent
tan(45) = CD / 5
CD = 5 × tan(45)
CD = 5
•Triangle 2
#Now you can find AC use Pythagoras theorem (c = AC)
a² + b² = c²
4² + 5² = c²
16 + 25 = c²
41 = c²
c = √41
c = 6.4
so, AC is 6.4
#Give me brainliest ok? im tired writing all of this
Could someone help I’m so confused
Answer:
6/4
Step-by-step explanation:
ratio of x to y is the slope so
you can use butterfly method/cross multiply (multiply numerator on one side to the denominator on the other to bring all the terms up and then solve for y)
4(y+3)=6(x+2)
4y+12=6x+12
y=6/4x
so it would be 6/4
4
It takes Naomi 4 minutes to run 5 laps.
How many laps per minute is that?
Ebon
Answer:
1.25 per min
Step-by-step explanation:
divide 5÷4 and you get 1.25 per min
Please help me. Thank you so much
Answer:
x = 10
Step-by-step explanation:
how do u write an expression for "twenty times a number less than two."
a.2 - 20y
b.20y-2
c.20 (y-2)
Answer:
20(y-2)
Step-by-step explanation:
Leah has meters of cloth, which she divides equally among her friends. Each friend gets meters of cloth.
Answer: 6
Step-by-step explanation:
Here's the complete question:
Leah has 8 4/7 meters of cloth, which she divides equally among her friends. Each friend 10/7 gets meters of cloth. She distributed the cloth to ---- friends.
Total length of the cloth = 8 4/7m
Number of friends = Unknown
Amount of length gotten by each friend= 10/7
The number of friends that she shred the cloth among will be:
= Total length of cloth / Length gotten by each friend
= 8 4/7 ÷ 10/7
= 60/7 ÷ 10/7
= 6/7 × 7/10.
= 60/10
= 6.
It was shared among 6 friends
Answer:
6
Step-by-step explanation:
i need help finding the slope
Step-by-step explanation:
choose any two points and u will get
slope =1/2
i need to make equations with the models
Answer:
I dont know ask someone else I just here for the points
Select all line segment measurements below that could NOT be used to form a triangle. a triangle with the side measurements of 3, 4, and 6 inches a triangle with the side measurements of 2, 3, and 5 inches a triangle with the side measurements of 3, 3, and 4 inches a triangle with the side measurements of 5, 5, and 5 inches a triangle with the side measurements of 4, 4, and 8 inches a triangle with the side measurements of 7, 8, and 16 inches
Answer:
a triangle with the side measurements of 2, 3, and 5 inches
a triangle with the side measurements of 7, 8, and 16 inches
a triangle with the side measurements of 4, 4, and 8 inches
Step-by-step explanation:
A triangle is a polygon shape with three sides and three angles. There are different types of triangles such as isosceles triangle, scalene triangle, equilateral triangle and right angle triangle.
The triangle inequality theorem states that the sum of any two sides of a triangle is always greater than the third side.
For a triangle with the side measurements of 3, 4, and 6 inches:
3 + 4 > 6. This can be a triangle
For a triangle with the side measurements of 2, 3, and 5 inches:
2 + 3 is not greater than 5, hence it cannot be a triangle
For a triangle with the side measurements of 3, 3, and 4 inches:
3 + 3 > 4. This can be a triangle
For a triangle with the side measurements of 5, 5, and 5 inches
5 + 5 > 5. This can be a triangle
For a triangle with the side measurements of 4, 4, and 8 inches:
4 + 4 is not greater than 8, hence it cannot be a triangle
For a triangle with the side measurements of 7, 8, and 16 inches:
7 + 8 is not greater than 16, hence it cannot be a triangle
cuántas aristas tiene un cilindro
You are designing a simulation for which day of the week people are born. You assign numbers to each day of the week, from, Sunday =0 through Saturday =6. You decide to use a sample size of 20.
Use the random number table to conduct your first trial, working from left to right.
39017 66124 37046 59285 15208 47185 76426 23648 51239 88346 59268 71307 37420 69307 98648 45960
Which chart matches the results from your first trial?
Answer:
In case you have not gotten the answer yet it is the chart, -- 3,3,3,2,3,3,3
Step-by-step explanation:
I took the quiz
6th grade math help me pleaseeee
Answer:
Top left
Step-by-step explanation:
Look at the numbers it's going through. The x axis is the one going side to side, y is up and down
-4x-3(-44-23)=13
please show the work, i’ll mark brainliest
Answer:
47
Step-by-step explanation:
Let's solve your equation step-by-step.
−4x−3(−44−23)=13
Step 1: Simplify both sides of the equation.
−4x+201=13
Step 2: Subtract 201 from both sides.
−4x+201−201=13−201
−4x=−188
Step 3: Divide both sides by -4.
−4x
−4
=
−188
−4
x=47
£0.65 in pence maths
Answer:
65p
Step-by-step explanation:
uhhhh......
I am really confused
10 points plz help!!
Answer:
38 is pounds, 84 is kilograms, 6 is ounces, 170 is grams, 180 is gallons, 680 is liters, 29 is cubic meters, 1024 cubic feet. If right plz give brainliest.
A new bank customer with $3,000 wants to open a money market account. The bank is offering a
simple interest rate of 1.4%.
a. How much interest will the customer earn in 30 years?
b. What will the account balance be after 30 years?
a. The customer will earn $ in interest
Answer:
SI=P*T*R/100
=3000*1.4*30/100
=$1260
Account balance=3000+1260
=$4260
Answer:
Step-by-step explanation:
SI=P*T*R/100
P=3000
t=30
r=1.4%
I=PRT
=3000*1.4*30/100
=$1260
After 30 years?
interest plus current amount
Account balance=3000+1260
=$4260
1/4 BEFORE 7:00 is 6:___? (my parents are giving me hard times rn and i hate it)
Answer:
The answer would be: 6:45
Step-by-step explanation: