Samuel invested $53,000 in an account paying an interest rate of 6.7% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 17 years?
Answers
Answer:
A≈165553.09
Step-by-step explanation:
To the nearest cent, there would be $174,529.50 in Samuel's account after 17 years of continuous compounding at an interest rate of 6.7%.
What is continuous compounding?The formula for calculating the amount of money in an account with continuous compounding is:
[tex]A = Pe^{(rt)}[/tex]
where:
A = the amount of money in the account after t years
P = the principal amount invested
r = the annual interest rate (as a decimal)
t = the time in years
e = Euler's number (approximately 2.71828)
Using this formula, we can calculate the amount of money in Samuel's account after 17 years as follows:
[tex]A = 53,000 \times e^{(0.067\times 17)[/tex]
A ≈ $174,529.50
Therefore, to the nearest cent, there would be $174,529.50 in Samuel's account after 17 years of continuous compounding at an interest rate of 6.7%.
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Related Questions
Is - 7/8 or - 1/15 larger
Answers
Answer:
-1/15 because it is closer to zero on the negative half of a number line.
Answer:-1/15
Step-by-step explanation:When it comes to negatives sign the smaller number with the negative sign is always the greater number
A car rental company rents only one type of car. The table shows the cost to rent a car from the
company
Number of
Days
Cost
2
$72
3
$85
5
$111
The rental cost includes a one-time cleaning fee plus a daily rate. What is the cleaning fee?
Enter the numerical value only - no variable, no units.
Answers
Answer:
$72 that is the answer for the question
3900 people attended a football game. If 25% of the people who attended were teenagers, how many teenagers attended the game?
Answers
Answer:
975 teenagers attended the game.
100 + 50% = ????? I KNOW ANSWER BUT I AM NOT SURE.
Answers
Answer:
[tex]100.5 = 100 \frac{1}{2} [/tex]
Step-by-step explanation:
[tex]100 + 50\% = 100 + \frac{50}{100} = 100 \frac{1}{2} = 100.5[/tex]
♨Rage♨
Kyle rented a paddle boat at Town Lake. He paid a one time rental fee of $25 plus $10 per hour. His total bill was $45.
Write an equation
Answers
Answer:
45 - 25 = 20 / 10 = 2 meaning he used the boat for 2 hours.
Step-by-step explanation:
Its the same this as before you start by writing it out how the way PEMDAS works. PEMDAS is ( Parenthesis, Exponents, Multiplication, Division, Adding, and Subtraction). Also i accidentally messed up my other answer so give me a sec.
The largest angle is a triangle is 110°. Of the remaining two angles, one is 4° less than the other angle. Find the
measure of the three angles
Answers
Answer:
Do 180-110=70 Then have it where 70/2=35. 35+4=39, 35-4=31, so the three angles are 39, 110, and 31.
Step-by-step explanation:
Point P is the incenter of ΔRST. Point P is the incenter of triangle R S T. Lines are drawn from each point of the triangle to point P. Lines are drawn from point P to the sides of the triangle to form right angles and line segments P A, P B, and P C. The triangle has different angle measures. Which must be true? Line segment C P is-congruent-to line segment R P Line segment B P is-congruent-to line segment P C AnglePSC Is-congruent-to AnglePTC AngleBPS Is-congruent-to AngleAPT
Answers
Answer:
Step-by-step explanation:
The answer is the second one. Line segment B P is congruent to line segment P C
Answer:
The correct answer is B.
Step-by-step explanation:
Correct on edge 2020
It a math question so please help me out.
Answers
Answer: I say B
Step-by-step explanation:
Answer:
A. t=-2h+32
Step-by-step explanation:
I'm pretty sure it's A. If the temperature starts at 32 degrees at midnight, that is going to be it's own number, not joined with a variable. In contrast, the temperature drops 2 degrees every hour, so the variable h will have a 2 with it (2h). But because it drops, the 2h will actually be negative. The equation would be written like this...
t=-2h+32, which is answer A.
I hope you understood! Good luck on your assignment and have an awesome day C:
please help me with this asap thank you
Answers
Answer:
37.7
Step-by-step explanation:
C= 2×3.14×6
C= 37.7
Let me know if it's wrong!
If Maria uses 4N of force to lift a box onto a shelf 0.5m high, how much work did she do?
Answers
w = f × distance
w = 4 × 0.5
w=
I need help with C. Idk how to do it.
Answers
Answer:
after 1.25 hours
Step-by-step explanation:
1. make 130 your y value
130 = 220 - 72x
2. subtract 220 from both sides
-90 = -72x
3. divide by -72 on both sides
1.25 = x
50 POINTS for functions
Answers
Answer:
im going with G
Step-by-step explanation:
I believe it is G because the negative 3 was located on the whole section on the graph.
Donald buys 2.4 pounds of breaded chicken and 4.1 pounds of fried chicken. What is the
total cost?
roast chicken - $5/lb
breaded chicken - $4/lb
sauteed chicken - $7/lb
curried chicken - $5/lb
fried chicken - $10/lb
Answers
Answer: The answer is $50.60
Step-by-step explanation:
1. Multiply 2.4 * 4 =$9.60
2. Multiply 4.1*10 = $48
3. Add $9.60+$48= $50.60
X-8 = 14
A.addition property of equality
B.subtraction property of equality
C.multiplication property of equality
D.division property of equality
Answers
To solve for X, get it alone.
Get rid of -8 from the left hand side.
x-8=14
We add 8 to both sides
x - 8 + 8 = 14 + 8
x= 22
Therefore 8 is added to each side which makes it addition property!
Question 15 David went for a run in his town. He ran from his house to the school, which is 1.22 miles. Then he ran 3 laps around the school track. Each lap is 0.25 miles. Then he ran halfway to the gas station. The distance from the school track to the gas station is 2.68 miles. Finally he ran straight home, which is 0.49 miles. What is the total distance David ran?
Answers
Distance covered to travel house and school, d1 = 1.22 miles.
Distance covered in 3 laps, d2 = 3 × 0.25 = 0.75 miles.
Distance between halfway to the gas station from school,
d3 = 2.68÷2 = 1.34 miles.
Distance from his last position to home, d4 = 0.49 miles.
So, total distance covered is :
[tex]D = d1+d2+d3+d4\\\\D=(1.22+0.75+1.34+0.49)\ miles\\\\D=3.8\ miles[/tex]
Therefore, total distance covered is David is 3.8 miles.
Hence, this is the required solution.
Solve for n 3m+2n=8 how do you do theseee?
Answers
Pleasee help! I don’t know the answers. I’m struggling
Answers
Answer:
1. Total amount of the five checks is $132.95.
2. She owed $16.47 before tax.
3. quizzes- 53 pts
projects-129 pts
tests-272 pts
for grading period-454 pts
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Can i get brainliest please?
Find the slope of the line through each pair of points. 3) (2, -12), (-6, -3) 4) (-17, -15), (9, -6)
Answers
Answer:
3. - 9/8
4. 9/26
Step-by-step explanation:
How can you translate a verbal sentence into an algebraic equation? Explain.
Sample answer: First you should identify the , 1 of 4.
Select Choice
quantity or quantities for which you are trying to solve, and assign , 2 of 4.
Select Choice
. Then you should look for key words or phrases that can help you to determine , 3 of 4.
Select Choice
that are being used. You can then write the , 4 of 4.
Select Choice
using the numbers that you are given and the variables and operations that you assigned.
Answers
The mathematical expressions are given as
1 of 4 = 1 x 4
2 of 4 = 2 x 4
3 of 4 = 3 x 4
4 of 4 = 4 x 4
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
In the verbal sentence, the meaning of using of indicates the multiplication of numbers.
The mathematical expressions will be used as:-
1 of 4 = 1 x 4
2 of 4 = 2 x 4
3 of 4 = 3 x 4
4 of 4 = 4 x 4
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What is the horizontal asymptote of the function f(x)=2x−5?
Enter your answer as a number, like this: 42
Answers
Answer:
-5
Step-by-step explanation:
Answer:
-5
Step-by-step explanation:
I just took the test and this was correct
multiply the polynomials below. SHOW ALL WORK
(x−7)(2x−5)
Answers
show work:
=(x+-7)(2x+-5)
=(x)(2x)+(x)(-5)+(-7)(2x)+(-7)(-5)
=2x^2-5x-14x+35
=2x^2-19x+35
plssss helpppp
dalia bought a few swirl marbles and divided it equally among four of her friends and her brother jake. while playing jake lost 2 marbles and has only 7 marbles at present. find how many marbles did dalia buy in all.
Answers
If jake has 9 marbles then the other four friends of daila also have 9 each because daila divided the marbles equally
9+9+9+9+9=45
Or 9x5 (daila shared between 5 peps)
Daila bought 45 marbles in total
Is a continuous graph a graph with connected lines and curves? PLEASE help! WILL GIVE BRAINLIEST
Answers
Answer:
That's pretty much correct. A continuous function is one that has no breaks or holes. For example, 1/x+5 is not continuous (or discontinuous) because the domain does not include -5. However, I don't think it needs to necessarily have to have curves because all linear functions are continuous. Hope this helps! (I learned about this a few weeks ago in my pre-calc class lol)
Step-by-step explanation:
hi someone pls help me with #2
Answers
Answer:
B
Step-by-step explanation:
4. In Canadian coins, 16 quarters is equal in value to 2 toonies.
number of quarters
number of toonies
1
16
2
20
24
a. Fill in the table.
Answers
Answer:
If 16 quarters is equal to 2 toonies, then 1 quarter is;
16 : 2
1 : x
16x = 2
x = 2/16
x = 1/8 toonies
20 quarters would therefore be;
= 1/8 * 20
= 2.5 toonies
24 quarters would be;
= 1/8 * 24
= 3 toonies
Determine the next three terms in the arithmetic sequence.
912, 864, 816, 768,720
670,620,570
620,520,420
672,624,576
675,630,585
Answers
For any arithmetic sequence aₙ₊₁ = aₙ + d
912, 864, 816, 768, 720
864 - 912 = -48 = d
so the next three terms:
720 + (-48) = 672
672 + (-48) = 624
624 + (-48) = 576
670, 620, 570 ⇒ 620 - 670 = -50 = d
so the next three terms:
570 + (-50) = 520
520 + (-50) = 470
470 + (-50) = 420
620, 520, 420 ⇒ 520 - 620 = -100 = d
so the next three terms:
420 + (-100) = 320
320 + (-100) = 220
220 + (-100) = 120
672, 624, 576 ⇒ 624 - 672 = -48 = d
so the next three terms:
576 + (-48) = 528
528 + (-48) = 480
480 + (-48) = 432
675, 630, 585 ⇒ 630 - 675 = -45 = d
so the next three terms:
585 + (-45) = 540
540 + (-45) = 495
495 + (-45) = 450
The number x is a two-digit number.
• When x is divided by 9, the remainder is 1.
• When x is divided by 10, the remainder is 3.
What is the remainder when x is divided by 11?
Be sure to explain how you got your answer.
Answers
Answer:
x = 73
x ÷ 11 = 73 ÷ 11 = 6.636 or [tex]6\frac{7}{11}[/tex] or ( 6 remainder 7)
Step-by-step explanation:
1. In order to determine the value of x, we will first find a two-digit multiple of 9 that has a unit value of (2)
Multiples of 9 = 18, 27, 36, 45, 54, 63, 72, 81, ...
from the above, the multiple of 9 that has a unit value of '2' is 72 ( 7 tens and 2 units)
2. Next, we will add 1 to the multiple of 9 found in step 1 above, to create a unit value of '3'. This is because when the number is divided by 9, we want to have a remainder of 1, and when the number is divided by 10, and we want to have a remainder of 3
72 + 1 = 73 ( 7 tens and 3 units)
3. Finally, let us divide the number in step 2 above by 10
73 ÷ 10 = 7 remainer 3.
Now the number 73 satisfies the three conditions given in the question:
1) The number x is a two-digit number.
73 is a two-digit number
2) When x is divided by 9, the remainder is 1.
73 ÷ 9 = 8 remainder 1
3) When x is divided by 10, the remainder is 3.
73 ÷ 10 = 7 remainder 3
∴ x = 73
x ÷ 11 = 73 ÷ 11 = 6.636 or ( 6 remainder 7)
What is an equation that is equivalent to -3/4x+1/8=-3/8?
Also the / is not a division symbol. The numbers with a / are fractions.
Answers
Hope this helps! Follow my Instagram trlamb822!
If you are driving 50 miles per hour for 600 miles, and wanted to know how far you had
driven at each hour, what would your slope be?
Answers
I WILL MAKE YOU BRAINLESS PLEASE EXPLAIN HOW YOU GOT THE ANSWER
The closing price of a share of stock in company XYZ is $25.69 on Thursday. If the change from the closing price on Wednesday is -$0.75, find the closing price on Wednesday. $26.44 $24.94 $25.75 $25.06
Answers
The closing price on Thursday was $25.69 and on Wednesday, it went down by 0.75. and it went down again by 0.75 which brought it to $25.69.
That would mean the closing price on Wednesday was $26.44 (25.69 + 0.75)
