The balance in your account after five years will be approximately $1,118.85.
Step 1: Understand Continuous Compounding
In continuous compounding, interest is earned not only on the initial principal amount but also on the accumulated interest over time. This means interest is calculated continuously throughout the year, leading to a slightly higher final balance compared to simple interest.
Step 2: Formula for Continuous Compounding
The formula for continuous compounding to find the future value (balance) after t years is:
A = P * e^(r*t)
where:
A = Final amount (balance after t years)P = Principal amount (initial deposit - $750)e = Euler's number (approximately 2.71828)r = Annual interest rate (as a decimal - convert 8% to 0.08)t = Time in years (5 years)Step 3: Apply the Formula
Now that we have the formula and values, let's plug them in:A = $750 * e^(0.08 * 5)Step 4: Calculate the Final Balance
You can use a calculator to evaluate the expression.
A ≈ $750 * e^(0.4) ≈ $750 * 1.4918
Step 5: Round the Answer (Optional)
Depending on the desired level of precision, you can round the answer to two decimal places:
A ≈ $1118.85 (rounded to two decimal places)
2(-4^2) - 2(2^4) + 3^2 - -4^2 + 2^4 = ? Please explain, I got 41 but I highly doubt I'm right.
A circle of radius 1 centered at (4, 0) is rotated about the y-axis.
1) Draw a picture of the three-dimensional shape that is produced when the circle is rotated about the y-axis.
2) In two or more complete sentences, describe the three-dimensional shape.
please help and thank you.
Tim enlarged a picture with a width of 5.5 inches and a length of 8 inches by a scale factor of 3. What are the dimensions of the enlargement?
a. width: 24 in.; length: 16.5 in.b. width: 16.5 in.; length: 24 in.c. width: 14.5 in.; length: 22 in.d. width: 19.5 in.; length: 25 in.
Answer:
Option b. width = 16.5 inches and length = 24 inches
Step-by-step explanation:
Tim enlarged a picture wit a width of 5.5 inches and a length of 8 inches.
He enlarged the picture by a scale factor of 3.
We have to find the new dimensions of the picture.
Since, New dimension of the picture = Scale factor × dimensions before enlargement
So new width = 3×5.5 = 16.5 inches
new length = 3×8 = 24 inches
Therefore, option b. is the answer.
HELP!!!!!!! I GIVE BRAINLEST AND THANKS!!!!!! + 5 POINTS!!!!
Perform Gauss-Jordan elimination on the augmented matrix shown.
Could someone please help me figure this out.
You are interviewing an applicant for a sales agent position in your company. Based on the company’s record, almost every company sales agent makes a total revenue of 150x-x² pesos for selling x products in a week. If the applicant confidently assures you that he/she can easily make ₱10,000 weekly revenue, how many products should he/she sell to meet this quota?
Is the following expression shown the exact answer? 144π - 216√3
true or false
write a numerical sentence that illustrates the commutative property of multiplication
A lawn mower manufacturer incurs a total of $34,816 in overhead costs and $388 per lawn mower in production costs. How many lawn mowers were manufactured if the average cost of production is $660?
Answer:
128 lawn mowers
Step-by-step explanation:
Given,
The overhead cost = $ 34,816,
The cost for one lawn mower = $ 388,
Let x be the number of lawn mowers manufactured,
So, the total cost of x lawn mowers = 34816 + 388x,
Now, if the average cost of x mowers = $ 660,
So, the total cost = 660x
[tex]\implies 660x = 34816 + 388x[/tex]
[tex]660x - 388x = 34816[/tex]
[tex]272x= 34816[/tex]
[tex]\implies x = \frac{34816}{272}=128[/tex]
Hence, 128 lawn mowers were manufactured.
Sherita’s club is selling grapefruit to raise money. For every box they sell, they get $1.35 profit. They have sold 84 boxes already. How many more boxes must they sell to raise 270 dollars
Chase makes 2 gallons of soup for a dinner party. He serves 10 cups of soup to his guests. How many cups of soup will be have left over?
If h(x)=6-x, what is the value of (h o h)(10)
How could you find the y-coordinate of the midpoint of a vertical line segment with endpoints at (0,0) and (0,-12)
If a train travels one mile (5,280 feet) while climbing a hill at an angle of five degrees, approximately how many vertical feet has the train climbed?
to calculate the vertical height multiply the hypotenuse ( 5280) by the sin of the angle (5)
5280 x sin(5) = 460.1823
round off to 460 feet
WILL GIVE BRAINLIST!!!!!!!!!!!!!! A group of students were surveyed to find out if they like working as a camp counselor and/or as a lifeguard during summer break. The results of the survey are shown below:
32 students like working as a camp counselor
8 students like working as a camp counselor but do not like working as a lifeguard
29 students like working as a lifeguard
8 students do not like working as a lifeguard or a camp counselor
Four students created the tables below to represent the data. CC represents camp counselor and LG represents lifeguard.
Which student's table is correct?
Answer:
I think Table C - Corralle
Answer:
c
Step-by-step explanation:
What numbesr can be multiplied and added to equal the same number?
2
2x2 = 4
2+2 =4
0
0x0=0
0+0=0
10 employees in an office were absent. Of these absentees constitutes 25% of the employees, what is the total number of employees?
angle ABD and angle DBC are supplementary. Find the value of x.
A. 6
B. 8
C. 4
D. 10
Four times the sum of a number and 15 is at least 120. Find all possible solutions for x
Find the probability of drawing a king from a standard deck of cards and then drawing a queen after the first card is replaced in the deck. None of the above 1/26 1/13 1/2704 2/13
52 cards in a deck
4 kings
4 queens
King = 4/52 reduces to 1/13
Queen = 4/52 reduces to 1/13
1/13 *1/13 = 1/169
so none of the above
Eighty seven decreased by three times a number is greater than one hundred sixty five
87-3x>165
-3x> (165-85)
-3x>80
80/-3 = -26.666
check;
87-3*(-26)=165
so x < -26
Find the lateral area for the prism. L.A. =
Find the total area for the prism. T.A. =
Answer:
Part 1) [tex]LA=(80+16\sqrt{13})\ in^{2}[/tex]
Part 2) [tex]TA=(104+16\sqrt{13})\ in^{2}[/tex]
Step-by-step explanation:
Part 1) Find the lateral area of the prism
we know that
The lateral area of the prism is equal to
[tex]LA=Ph[/tex]
where
P is the perimeter of the base
h is the height of the prism
Applying the Pythagoras Theorem
Find the hypotenuse of the triangle
[tex]c^{2}=4^{2}+6^{2}\\ \\c^{2}=52\\ \\c=2\sqrt{13}\ in[/tex]
Find the perimeter of triangle
[tex]P=4+6+2\sqrt{13}=(10+2\sqrt{13})\ in[/tex]
Find the lateral area
[tex]LA=Ph[/tex]
we have
[tex]P=(10+2\sqrt{13})\ in[/tex]
[tex]h=8\ in[/tex]
substitutes
[tex]LA=(10+2\sqrt{13})*8=(80+16\sqrt{13})\ in^{2}[/tex]
Part 2) Find the total area of the prism
we know that
The total area of the prism is equal to
[tex]TA=LA+2B[/tex]
where
LA is the lateral area of the prism
B is the area of the base of the prism
Find the area of the base B
The area of the base is equal to the area of the triangle
[tex]B=\frac{1}{2}bh[/tex]
substitute
[tex]B=\frac{1}{2}(6)(4)=12\ in^{2}[/tex]
Find the total area of the prism
[tex]TA=LA+2B[/tex]
we have
[tex]B=12\ in^{2}[/tex]
[tex]LA=(80+16\sqrt{13})\ in^{2}[/tex]
substitute
[tex]TA=(80+16\sqrt{13})+2(12)=(104+16\sqrt{13})\ in^{2}[/tex]
According to the text, which is not a main component of drawing?
Perspective
Vanishing point
Horizon
EF=5x+15, FG=53 And EG=143 find the value of x
And can you please tell me how to do it?
14÷420 long division
Find the simple interest paid for 8 years on a $850 loan at 7.5% per year.
The simple interest paid for 8 years on a $850 loan at a 7.5% annual interest rate is $510.
To calculate simple interest, you can use the formula:
Simple Interest (SI) = Principal (P) × Rate (R) × Time (T)
Where:
- Principal (P) is the initial amount of the loan.
- Rate (R) is the annual interest rate (in decimal form).
- Time (T) is the number of years.
In this case:
- Principal (P) = $850
- Rate (R) = 7.5% = 0.075 (decimal form)
- Time (T) = 8 years
Now, plug these values into the formula:
SI = $850 × 0.075 × 8
SI = $510
The simple interest paid for 8 years on a $850 loan at a 7.5% annual interest rate is $510.
For more such questions on Simple Interest :
https://brainly.com/question/30978175
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Find the domain of the following piecewise function
17. For the parallelogram find the value of the variables. Show your work.
18. What is the length of the second base of a trapezoid is the length of one base is 24 and the length of the midsegment is 19? Show your work
Kenya plans to make a down payment plus monthly payments in order to buy a motorcycle. At one dealer she would pay $2,500 down and $150 each month. At another dealer, she would pay $3,000 down and $125 each month. After how many months would the total amount paid be the same for both dealers? What would that amount be?
Let us say that the total amount paid in the first dealer is P1 and the total amount paid to the second dealer is P2. So that:
P1 = 2500 + 150 t
P2 = 3000 + 125 t
Where t is the total number of months
Now we are asked when the total amount paid would be equal for the two dealers, this means P1 = P2, therefore equating the two:
2500 + 150 t = 3000 + 125 t
25 t = 500
t = 20 months
Therefore the total amount paid for both dealers would be equal after 20 months.
what is the value of the fourth term in a geometric sequence for which a1=15 and r=1/3
express your answer as a fraction
Answer: The required fourth term in the given geometric sequence is [tex]\dfrac{5}{9}.[/tex]
Step-by-step explanation: We are given to find the fourth term of a geometric sequence with the following first term and common ratio :
[tex]a=15,~~r=\dfrac{1}{3}.[/tex]
We know that
the nth term of a geometric sequence with first term a and common ratio r is given by
[tex]a_n=ar^{n-1}.[/tex]
Therefore, the forth term of the given geometric sequence is
[tex]a_4=ar^{4-1}=ar^3=15\times\left(\dfrac{1}{3}\right)^3=15\times\dfrac{1}{27}=\dfrac{5}{9}.[/tex]
Thus, the required fourth term in the given geometric sequence is [tex]\dfrac{5}{9}.[/tex]