To find the balance after 10 years when $20,000 is invested at 5% interest compounded annually, we can use the formula for compound interest:
A = P(1+r)ⁿ
Where:
*A is the complete volume of money obtained after
*n years, including interest.
*P embodies the initial investment, or the principle amount.
*The yearly interest rate, calculated by decimal, is r.
*n is the number of periods the money has been put into investments for.
Given:
*P = $20,000
*r = 5% = 0.05
*n = 10 years
Taking appropriate values to carry out the calculation:
A = 20000(1 + 0.05)¹⁰
A = 20000(1.05)¹⁰
Now, let's calculate:
A ≈ 20000 × (1.05)¹⁰
A ≈ 20000 × 1.62889462677744
A ≈ 32577.89
So, the balance after 10 years will be approximately $32,577.89.
After 10 years, the balance of the investment can be calculated using the formula for compound interest: A = P(1+r)ⁿ
Where:
*A is the amount of money accumulated after
*n years, including interest.
*P is the principal amount (the initial investment).
*r is the annual interest rate (in decimal).
*n is the number of times the interest is compounded per year.
In this case, the principal (P) is $20,000, the annual interest rate (r) is 5%, and the investment is compounded annually. Substituting these values into the formula:
A = 20000(1.05)¹⁰
A ≈ 20000 × (1.05)¹⁰
After computation, the balance after 10 years is approximately $32,577.89. This represents the accumulated amount including the initial investment and the interest earned over the 10-year period.
Complete Question:
Suppose your friend’s parents invest $20,000 in an account paying 5% interest compounded annually. What will the balance be after 10yr?
Use substitution to determine which of the following points is a solution to the standard form equation below. 2y = 5
Answer:
(10,5/2) answer is A
Step-by-step explanation:
just took test.
The expression 8x + 2y
triangle XYZ is obtuse which list could represent the angle measures of triangle XYZ?
A. 20 60 100
B. 30 60 90
C. 50 50 80
D. 60 60 60
PLEASE ANSWER ASAP Becky purchased a home entertainment center for $2,254 using an 18-month deferred payment plan with an interest rate of 22.48%. She did not make any payments during the deferment period. What will Becky's monthly payment be if she must pay off the home entertainment center within three years after the deferment period?
$121.01
$87.45
$62.61
$113.72
Answer:
$62.61
Step-by-step explanation:
Data:
The price of home entertainment = $ 2 254
Time to pay = 18 months
interest rate = 22.48 %
monthly payment = $ 2254/ 18
= $ 125. 22
= - 22.48 (2254)/18
= $ 62.61
Sophia and Tyler are running around a 400-meter track. They start running from the same place, at the same time. Sophia runs at a speed of 5 m/s and Tyler runs at a speed of 4 m/s. How long will it take Sophia to lap Tyler?
Answer: 400 seconds
Step-by-step explanation:
5x = 400 + y
4x = y
take 4x and add it to the top so it looks like this:
5x = 400 + 4x
cancel 4x if you don't know how to do it you do it like this you take +4x and instead you do -4x to cancel.
and you do it to 5x so you cancel 4x and 5x - 4x = x so x = 400
x = 400
Sarah is hiking on a trail near her home. She traveled 5 miles before stopping for a break. After the break, Sarah plans on increasing her speed to 3 miles per hour. Which equation models the total distance, D, Sarah travels after hiking for an additional h hours?
A. D = 3h + 5
B. D = 3(h - 5)
C. D = 3h - 5
D. D = 5h + 3
Answer: A. [tex]D=3h+5[/tex]
Step-by-step explanation:
Given: The rate of increasing speed = 3 miles per hour
The distance she traveled before stopping = 5 miles
Let h represents the number of additional hours for hiking.
Then the equation that models the total distance 'D' Sarah travels after hiking for an additional h hours is given by :-
[tex]D=3h+5[/tex]
The Freshman class has 27 more boys than girls. If there are 283 freshman, how many are girls?
PLS HELP ME ASAP WITH 3, 4, AND 5! PLS! (Read directions carefully :)
(BRAINLIEST WILL BE GIVEN HOPEFULLY!)
(Random answers gets moderated!)
Circle P is tangent to the x-axis and the y-axis. If the coordinates of the center are (r, r), find the length of the chord whose endpoints are the points of tangency.
2r
r²
r√2
Can anyone help me with this problem?
An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 4 cm long. A second side of the triangle is 7.4 cm long. Find the longest and shortest possible lengths of the third side of the triangle. Round answers to the nearest tenth of a centimeter. A. 44.4 cm, 11.1 cm B. 44.4 cm, 3.2 cm C. 11.1 cm, 4.9 cm D. 24 cm, 4.9 cm
A bakery has 49 donuts and 28 muffins for sale. What is the ratio of muffins to donuts? Please answer ASAP 99 Points :V
Jason was hired to mow a lawn that covers an area of acres 2 3/4. It took him 4 1/8 hours to complete the job. What was his unit rate in hours per acre?
I understand the steps where I am stuck is how did you get 2/3/
x2+y2-4+2y-11=0 what are the center and radius of the circle?
Find the sum of the summation of 2 i minus 12, from i equals 7 to 16.
22
110
220
440
Answer: Second option is correct.
Step-by-step explanation:
Since we have given that
[tex]\sum_{7}^{16}(2i-12)\\\\=\sum_{7}^{16}2(i-6)\\\\=2\sum_{7}^{16}(i-6)\\\\=2[(16-6)+(15-6)+(14-6)+(13-6)+(12-6)+(11-6)+(10-6)+(9-6)+(8-6)+(7-6)]\\\\=2[10+9+8+7+6+5+4+3+2+1]\\\\\text{Sum of n natural numbers }\\\\=2(\frac{10\times (10+1)}{2})\\\\\=\frac{n(n+1)}{2}\\\\=2\times \frac{10\times 11}{2}\\\\=10\times 11\\\\=110[/tex]
Hence, the value of summation is 110.
Therefore, Second option is correct.
find the greatest common factor 6x^2a + 6xa^2
Identify a counterexample to disprove 6n>n^2/6,where n is a real number.
A counterexample to disprove the inequality [tex]6n > n^2/6[/tex] is n = 12, because when plugged into the inequality, it results in 72 > 24, which is false.
The question is asking for a counterexample to disprove the inequality [tex]6n > n^2/6[/tex], where n is a real number. To find a counterexample, let's test an arbitrary positive number, such as n = 7, to see if the inequality holds.
Substituting 7 for n, we get:
6 x 7 > 72/6
42 > 49/6
42 > 8.167
This is indeed true, so 7 is not a counterexample. However, we can think of a larger value of n. Let's try n = 12:
6 x 12 > 122/6
72 > 144/6
72 > 24
This is false. Hence, n = 12 serves as a counterexample to disprove the given inequality. So, the inequality does not hold for all real numbers.
A ball is rolling in a circular path that has a radius of 10 inches as shown in
This is probably easy but I'm not smart and don't know what else to do I know this is the correct formula it's just confusing to me because there're three numbers and I'm just really dumb.
_________________ lines are lines that never intersect and are not coplanar. A) Parallel B) Perpendicular C) Skew D) Transversal
Four girls and eight boys are running for president or vice president of the student council. find each probability: find the prbability that two girls are elected
The probability that two girls are elected president and vice president from a group of 4 girls and 8 boys is calculated using a hypergeometric distribution, resulting in a probability of 1/11.
The question is asking for the probability that two girls are elected president and vice president of the student council when there are four girls and eight boys running for these positions. This is an example of a hypergeometric distribution problem, as we are selecting without replacement from a finite population divided into two groups.
To find the probability, we need to determine the number of successful outcomes divided by the total number of possible outcomes. The successful outcome is that the two elected individuals are both girls. Since there are 4 girls, there are 4 choose 2 ways to select 2 girls, which equates to 6 possible successful outcomes. The total number of ways to choose 2 individuals from 12 candidates (4 girls + 8 boys) is 12 choose 2, resulting in 66 possible outcomes.
The probability can be calculated by dividing the number of successful outcomes by the total number of possible outcomes.
Probability = Successful outcomes / Total outcomes = 6 / 66 = 1 / 11
The trapezoids are similar. the area of the smaller trapezoid is 131 m2. find the area of the larger trapezoid to the nearest whole number. (1 point)
The square root of 136 is between which two whole numbers?
When the polynomial is written in standard form, what are the values of the leading coefficient and the constant? 5x + 2 - 3x^2
12q^2-17q-7
A. (3q+1)(4q-7)
B. (3q-1)(4q+7)
C. (3q+7)(4q-1)
D. (3q-7)(4q+1)
Line RS is tangent to circle Q at point R.
What is the measure of ∠SQR ?
Enter your answer in the box.
Using the tangent and radius theorem, the measure of ∠SQR is 58°.
What is Circle Geometry??From the question, we are to determine the measure of ∠SQR
In the given diagram, QR is a radius
By the tangent and radius theorem,
If a tangent and a radius meet at the point of tangency, then they are perpendicular to one another
∴ ∠QRS = 90°
∠SQR + ∠RSQ + ∠QRS = 180° (Sum of angles in a triangle)
∠SQR + 32° + 90° = 180°
∠SQR + 122° = 180°
∠SQR = 180° - 122°
∠SQR = 58°
Hence, the measure of ∠SQR is 58°.
Learn more on Circle geometry here: https://brainly.com/question/21872415
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Screenshotted question!
Consider this system of linear equations:
22x − y = -23 (equation 1)
11x + 12y = 1 (equation 2)
Solve the system of equations using the substitution method.
{2x+8y=4 x=−3y+5
Enter your answers in the boxes.
Find the slope of the line on the graph