The area of the rhombus is 1140 square inches.
Let the side length of the rhombus be "a" and let the length of the other diagonal be "d".
Since a rhombus has all sides congruent, the perimeter is given by:
4a = 136
Simplifying, we get:
a = 34
We can use the formula for the area of a rhombus:
Area = (diagonal 1 x diagonal 2)/2
Substituting the given values:
Area = (60 x d)/2
Area = 30d
Now we can substitute the value of "a" in terms of "d" into the formula for the length of the diagonal:
d = √(a² + b²)
d = √(34² + b²)
d = √(1156 + b²)
We also know that the perimeter of the rhombus is given by:
4a = 136
Substituting the value of "a" we found earlier:
4(34) = 136
So the length of the other diagonal can be found by subtracting the length of the given diagonal from the perimeter, and dividing by 2:
d = (136 - 60)/2 = 38
Therefore, the length of the other diagonal is 38 inches.
To find the area, we can substitute the value we found for "d" into the formula we derived earlier:
Area = 30d = 30(38) = 1140
So the area of the rhombus is 1140 square inches.
To know more about rhombus refer here:
https://brainly.com/question/27870968
#SPJ11
the picture below is being enlarged by a scale factor of 2.5. how many inches of farming will the picture require? base 5 in high4 in
A. 12.5 in
B. 20 in
C. 45 in
D. 65 in
The inches of farming the picture require is 45 inches
How many inches of farming will the picture require?From the question, we have the following parameters that can be used in our computation:
Base = 5 in
High = 4 in
Scale factor = 2.5
The inches of farming the picture require is calculated as
Perimeter = 2 * (Base + High) * Scale factor
Substitute the known values in the above equation, so, we have the following representation
Perimeter = 2 * (5 + 4) * 2.5
Evaluate
Perimeter = 45
Hence, the inches of farming the picture require 45 inches
Read more about scale factor at
https://brainly.com/question/29229124
#SPJ1
A triangle has angle measures of (x + 3)°, (5x – 8)°, and (2x + 1)°.
What is the measure of the smallest angle of the triangle in degrees?
A 47°
B 26°
C 107°
D 23°
Answer: B
Step-by-step explanation:
x + 3 + 5x - 8 + 2x + 1 = 180
8x - 4 = 180
8x = 184
x = 23
23 + 3 = 26, 5(23) - 8 = 107, 2(23) + 1 = 47
the smallest is 26
Alexandra likes to skate at a game store that is due south of her school and due west of her
favorite skate park. If the game store is 7.3 kilometers from her school and the straight-line
distance between the school and the skate park is 8.7 kilometers, how far is the game store
from the skate park? If necessary, round to the nearest tenth.
We can use the Pythagorean theorem to find the distance between the game store and the skate park.
Let's call the distance between the game store and the skate park "d". Then we have:
d^2 = (distance between school and game store)^2 + (distance between school and skate park)^2
d^2 = 7.3^2 + 8.7^2
d^2 = 106.18
d ≈ 10.3
Therefore, the game store is approximately 10.3 kilometers from the skate park.
A dealer made lost of 10% by selling an article for 81,000 naira. How much should he have sold it to make a profit of 15%
The dealer should have sold the article for 103,500 naira to make a profit of 15%.
Let C be the cost price of the composition. According to the problem, the dealer vended the composition at a loss of 10, so he entered 90 of the cost price. thus, 90 of C is equal to 81,000 naira.
C = 81,000
C = 81,000/0.9
C = 90,000
So, the cost price of the composition is 90,000 naira.
Now, let's find out the selling price needed to make a profit of 15 Let S be the needed selling price to make a profit of 15. We know that profit chance is equal to( profit/ cost price) × 100.
Thus,(15/100) × 90,000 =
S- 90,000 , 500
= S- 90,000
S = 90,000 13,500
S = 103,500
Learn more about profit at
https://brainly.com/question/30949131
#SPJ4
Does this situation involve descriptive statistics or inferential statistics?
Out of 25 students in the class, 40% are male.
descriptive statistics
inferential statistics
Out of 25 students in the class, 40% are male is: Descriptive statistics.
Descriptive statistics is the process of summarizing and organizing data from a sample or population in order to provide an overview of the main characteristics. In this case, the data provided tells us that out of 25 students in the class, 40% are male.
This information is a summary of the gender distribution within this specific class, rather than making any predictions or generalizations about a larger population.
In contrast, inferential statistics is the process of using data from a sample to make predictions or draw conclusions about a larger population. If we were given data about a sample of classes and asked to estimate the proportion of male students in all classes, that would be an example of inferential statistics.
To summarize, the situation you provided, which states that out of 25 students in the class, 40% are male, is an example of descriptive statistics as it only provides a summary of the data for that specific class.
To know more about Descriptive statistics, refer here:
https://brainly.com/question/30764358#
#SPJ11
7) A tree casts a shadow that is 10 feet long. 5 foot woman standing nearby casts a shadow that is 4 feet long. How tall is the tree?
Answer:
12.5 ft
Step-by-step explanation:
x/10=5/4
4x=5(10)
4x=50
x=12.5
Question 16 (6 marks) If b and c are real numbers and b^2 <3c, show that the equation x^3 + bx^2 + cx = 2022 has exactly one real solution.
We have shown that the equation x^3 + bx^2 + cx = 2022 has exactly one real solution.
To show that the equation x^3 + bx^2 + cx = 2022 has exactly one real solution, we will use the discriminant (∆) of the equation. The discriminant helps us determine the nature of the solutions of a polynomial equation.
For a cubic equation, the discriminant is given by the following formula:
∆ = 18abcd - 4b^3d + b^2c^2 - 4ac^3 - 27a^2d^2
In our case, the equation is x^3 + bx^2 + cx - 2022 = 0, so a = 1, b = b, c = c, and d = -2022.
Now, let's calculate the discriminant:
∆ = 18(1)(b)(c)(-2022) - 4b^3(-2022) + b^2c^2 - 4(1)c^3 - 27(1)^2(-2022)^2
∆ = -36444bc + 8088b^3 + b^2c^2 - 4c^3 - 109222392
We are given that b^2 < 3c. This inequality implies that the first three terms of the discriminant will be negative, as b^2c^2 will be smaller than 3c^2. The negative terms will dominate the discriminant, making ∆ < 0.
When the discriminant of a cubic equation is negative (∆ < 0), it means that the equation has exactly one real solution. Thus, we have shown that the equation x^3 + bx^2 + cx = 2022 has exactly one real solution.
To learn more about discriminant, refer below:
https://brainly.com/question/27922708
#SPJ11
Find the area of the composite figure to the nearest hundredth.
55 mm
32. 5 mm
12. 5 mm
12. 5 mm
The area of the composite figure is approximately 2447.43 square millimeters to the nearest hundredth.
To find the area of the composite figure, we need to divide it into simpler shapes and then find their areas separately. The composite figure is made up of a rectangle and two semicircles.
First, let's find the area of the rectangle. The length of the rectangle is 55 mm and the width is 32.5 mm, so the area of the rectangle is:
[tex]$$A_{rect} = length \times width = 55 \text{ mm} \times 32.5 \text{ mm} = 1787.5 \text{ mm}^2$$[/tex]
Next, let's find the area of each semicircle. The diameter of each semicircle is equal to the width of the rectangle, which is 32.5 mm. Therefore, the radius of each semicircle is:
[tex]$$r =[/tex] [tex]\frac{32.5 \text{ mm}}{2} = 16.25 \text{ mm}$$[/tex]
The formula for the area of a semicircle is:
[tex]$$A_{semicircle} = \frac{1}{2} \pi r^2$$[/tex]
So, the area of each semicircle is:
[tex]$$A_{semicircle} = \frac{1}{2} \pi (16.25 \text{ mm})^2 \approx 329.97 \text{ mm}^2$$[/tex]
To find the total area of the composite figure, we add the area of the rectangle to the area of the two semicircles.
[tex]$$A_{total} = A_{rect} + 2 \times A_{semicircle} \approx 2447.43 \text{ mm}^2$$[/tex]
Therefore, the area of the composite figure is approximately 2447.43 square millimeters to the nearest hundredth.
To learn more about composite figure refer here:
https://brainly.com/question/27234680
#SPJ11
To find the quotient of 4. 082 and 10,000, move the decimal point in 4. 082
Choose. Right left
places to the
Choose. Right-left
The quotient of 4.082 and 10,000 is 0.000004082.
To find the quotient of 4.082 and 10,000, we need to divide 4.082 by 10,000. However, dividing a decimal by another decimal can be tricky, so we need to move the decimal point of the dividend (4.082) and the divisor (10,000) to make the division easier.
We can move the decimal point of 4.082 four places to the left to obtain 0.04082. This is because moving the decimal point to the left makes the number smaller. For example, moving the decimal point in 4.082 one place to the left gives us 0.4082, which is ten times smaller than 4.082. Moving the decimal point four places to the left gives us a number that is 10,000 times smaller than 4.082.
Similarly, we can move the decimal point of 10,000 four places to the right to obtain 100,000,000. This is because moving the decimal point to the right makes the number larger. For example, moving the decimal point in 10,000 one place to the right gives us 1,000, which is ten times larger than 10,000. Moving the decimal point four places to the right gives us a number that is 10,000 times larger than 10,000.
Now we can divide 0.04082 by 100,000,000, which gives us the quotient of 0.000004082. Therefore, to find the quotient of 4.082 and 10,000, we need to move the decimal point in 4.082 four places to the left and move the decimal point in 10,000 four places to the right, and then divide the resulting numbers.
To know more about quotient, refer to the link below:
https://brainly.com/question/16134410#
#SPJ11
The unit in a volume are always ________.
Answer:
The unit in a volume are always cubic meter
Step-by-step explanation:
Chain of Thought Reasoning: Volume is a three dimensional space, which is measured in three dimensions (length, width, and depth). The SI unit for length is meters, so the SI unit for volume is cubic meters (m^3). I hope this helps you
The table shows the daily amount that Trevor spent on snacks. During
which week did Trevor spend a mean amount of $0. 85 per day on snacks? *
1 point
Week
Friday
$0. 50
1
Monday Tuesday Wednesday Thursday
$0. 75 $0. 50
$1. 00 $1. 25
$1. 25 $0. 75 $0. 25 $1. 00
$0. 50 $0. 75
$0. 25 $0. 25
$1. 25 $0. 25 $0. 75 $1. 00
$1. 00
AWN
$1. 25
$0. 50
Week 1
Week 2
Week 3
Week 4
Trevor spent a mean amount of $0.85 per day on snacks during
Week 1.
We have,
To determine during which week Trevor spent a mean amount of $0.85 per day on snacks, we need to calculate the mean (average) amount spent per day for each week and find the week that matches $0.85.
Let's calculate the mean amount spent per day for each week:
Week 1:
= (0.50 + 0.75 + 0.50 + 1.00 + 1.25 + 1.25 + 0.75 + 0.25 + 1.00) / 9
= $0.86 (approximately)
Week 2:
= (1.00 + 0.50 + 0.75 + 0.25 + 0.25 + 1.25 + 0.25) / 7
= $0.61 (approximately)
Week 3:
= (0.75 + 1.00) / 2
= $0.88
Week 4:
= (1.25 + 1.00 + 1.00 + 1.25 + 0.50) / 5
= $1.00
From the calculations, we can see that the mean amount spent per day for Week 1 is closest to $0.85.
Therefore,
Trevor spent a mean amount of $0.85 per day on snacks during
Week 1.
Learn more about mean here:
https://brainly.com/question/23263573
#SPJ12
Mr. Larson, a math teacher, assigned his students a project to do in pairs. He recorded the
grade each pair earned.
Math project grades
92 77 97 70 96 75
73
84
71
87
80
86
100
95
Which box plot represents the data?
Math project grades
50
60
70
80
90
100
Math project grades
50
60
70
80
90
100
The box plot that would represent the data recorded by Mr. Larson would be B. Second box plot.
How to find the box plot ?To find the correct box plot of the data recorded by Mr. Larson, the math teacher, first order the grades from lowest to highest :
70, 71, 73, 75, 77, 80, 84, 86, 87, 92, 95, 96, 97, 100
There are 14 grades which means that the median position would be the 7th and 8th grades average :
= ( 84 + 86 ) / 2
= 170 / 2
= 85
The position of Q3 would be:
= ( n + 1 ) x 75 %
= ( 14 + 1 ) x 75 %
= 11 th position which is 95
The correct box plot is therefore the second box plot which shows the Q3 as 95.
Find out more on box plots at https://brainly.com/question/27849170
#SPJ1
When viewed from a distance of 32 feet from its base the top of the flagpole can be seen from the ground at an angle of elevation of 39° what is the height of the flagpole
The height of the flagpole is approximately 23.7 feet.
We can use the tangent function to solve this problem. Let's call the height of the flagpole "h". From the ground, we have a right triangle with the flagpole height as the opposite side, the distance to the flagpole as the adjacent side, and the angle of elevation as the angle opposite the flagpole height.
Using the tangent function, we can write:
tan(39°) = h/32
Solving for h, we get:
h = 32 * tan(39°)
h ≈ 23.7 feet
Therefore, the height of the flagpole is approximately 23.7 feet when viewed from a distance of 32 feet at an angle of elevation of 39°.
For more questions like Flagpole click the link below:
https://brainly.com/question/31296662
#SPJ11
Charlene sees a laptop being sold for $492. this is 18% less than the original price. what was the original price of the laptop?
The original price of the laptop was $600 because $492 is 82% of the original price (100% - 18% = 82%).
How to find the percentage of the laptop?The concept of percentage decrease. A percent decrease is the amount by which a quantity decreases, expressed as a percentage of its original value. In this case, the laptop is being sold for 18% less than its original price, so we can represent the percent decrease as 18%.
To find the original price of the laptop, we need to work backwards from the sale price. We can use the formula:
Sale price = Original price - Percent decrease of original price
where "Percent decrease of original price" is the percentage decrease of the original price, expressed as a decimal. In this case, the percent decrease is 18%, which we convert to a decimal by dividing by 100: 18/100 = 0.18.
Plugging in the values we know, we get:
$492 = Original price - 0.18 * Original price
Simplifying this equation, we get:
$492 = 0.82 * Original price
To isolate Original price, we can divide both sides by 0.82:
Original price = $492 / 0.82
Simplifying this expression, we get:
Original price = $600
the original price of the laptop was $600.
Learn more about percentage
brainly.com/question/29306119
#SPJ11
PLEASE HELP MEEE!!! WILL GIVE BRAINLIEST!!!
Answer:
75°
Step-by-step explanation:
Arc length LM is 108°, meaning that angle <K is half of the arc length, 54°.
*REMEMBER* all 3 angles inside a triangle must add up to 180° to make it a triangle.
We have angle <L, <K, and we are looking for angle <M.
51+54+?=180
105+?=180
?=75
Angle <M is 75°
Hope this helps :)
bruce's weigh 11 each if bruce has 14 how many pounds do they weigh all together
All the Bruces together weigh a total of 154 pounds.
If each Bruce weighs 11 pounds and there are 14 Bruces, we can calculate the total weight by multiplying the weight of each Bruce by the number of Bruces.
Weight of each Bruce: 11 pounds
Number of Bruces: 14
To find the total weight, we multiply 11 pounds by 14 Bruces:
Total weight = 11 pounds/Bruce * 14 Bruces
= 154 pounds
Therefore, all the Bruces together weigh a total of 154 pounds.
To know more about weigh , refer here :
https://brainly.com/question/17300138#
#SPJ11
How much money did Susan earn per hour
Answer:
$9.50
Step-by-step explanation:
Divide the total earnings by total hours.
How many hours is 1,000,00 minutes
Answer:
16.6666 hours.
Step-by-step explanation:
This conversion of 1,000 minutes to hours has been calculated by multiplying 1,000 minutes by 0.0166 and the result is 16.6666 hours.
Answer:
16,666.67 hours
Step-by-step explanation:
A minute is a unit of time equal to 60 seconds.
Can someone help me asap? It’s due today!! Show work! I will give brainliest if it’s correct and has work
Answer:
10 outcomes
Step-by-step explanation:
if 2 coins were selected with replacement=10×10=100
number of outcomes if 2 coins were selected without replacement=10×9=90
Finally, 100-90= 10 outcomes!
Why do you think that credit cards tend to be the entry point for establishing credit for so many consumers?
I believe credit cards tend to be the entry point for establishing credit for so many consumers because they provide an easy and accessible way for individuals to begin building their credit history. Credit card companies report to credit bureaus on a regular basis, which helps establish a credit score and credit history.
Additionally, credit cards offer a convenient way for individuals to make purchases and build their credit at the same time. However, it is important for individuals to use their credit cards responsibly and make timely payments in order to maintain good credit standing.
To know more about think refer here
https://brainly.com/question/3368793#
#SPJ11
Question 2. Enter the correct answer in the box.
The given equation, a = v²/r, solved for r is:
r = v²/a
Subject of formulae: Solving the equation for rFrom the question, we are to solve the given equation for r
From the given information,
The given equation is
a = v²/r
To solve the equation for r means we should isolate the variable r
Solving the equation for r
a = v²/r
Multiply both sides of the equation by r
a × r = v²/r × r
ar = v²
Divide both sides of the equation by a
ar/a = v²/a
r = v²/a
Hence, the equation solved for r is:
r = v²/a
Learn more on Subject of formulae here: https://brainly.com/question/19041791
https://brainly.com/question/24667938
#SPJ1
Use the drop down to answer the question about converting 0. 64 to a fraction.
How many repeating digits are in 0. 64 ?
What value is multiplied on both sides of the equals sign?
What fraction represents 0. 64 ?
The fraction value of 0.64 is 16/25 using the greatest common factor method to represent. There are no repeating digits in value.
The given decimal value = 0.64
There are no repeating numbers in the given decimal number 0.64.
To convert the given number into a fraction, we need to multiply the value with 10 on both sides to move the decimal point two places to the right.
0.64 × 100/100 = 64/100
Now simply this value by dividing both the numerator and denominator with the greatest common factor of both values. The greatest common factor is 4.
64/100 = 16/25
Therefore, we can represent the fraction value of 0.64 as 16/25.
To learn more about Fraction
https://brainly.com/question/29766013
#SPJ4
Intelligence Quotient (IQ) scores are often reported to be normally distributed with μ=100. 0 and σ=15. 0. A random sample of 45 people is taken. Step 1 of 2 : What is the probability of a random person on the street having an IQ score of less than 96? Round your answer to 4 decimal places, if necessary
We are given that IQ scores are normally distributed with mean μ = 100 and standard deviation σ = 15. We want to find the probability of a random person on the street having an IQ score of less than 96.
To do this, we need to standardize the IQ score using the z-score formula:
z = (x - μ) / σ
where x is the IQ score we're interested in, μ is the mean IQ score, and σ is the standard deviation of IQ scores.
Plugging in the given values, we get:
z = (96 - 100) / 15 = -0.267
Now, we look up the probability of getting a z-score less than -0.267 in a standard normal distribution table or using a calculator. The probability is approximately 0.3944.
Therefore, the probability of a random person on the street having an IQ score of less than 96 is 0.3944 (rounded to 4 decimal places).
To know more about IQ refer here
https://brainly.com/question/29035691#
#SPJ11
percent of birds in Forest A that are robins
Answer: To determine the percent of birds in Forest A that are robins, we need to know the number of robins and the total number of birds in Forest A. Let's assume that we have conducted a bird survey and found the following information:
Number of robins in Forest A = 50
Number of other birds in Forest A = 150
Total number of birds in Forest A = 50 + 150 = 200
To calculate the percentage of birds in Forest A that are robins, we can use the following formula:
Percentage = (Number of robins / Total number of birds) x 100%
Plugging in the values, we get:
Percentage = (50 / 200) x 100% = 25%
Therefore, 25% of the birds in Forest A are robins.
Step-by-step explanation:
A downward opening parabola with vertex (-5,2) and a vertical compression of 0. 5
The equation of the downward opening parabola with the given vertex and vertical compression is y = 0.5(x + 5)^2 + 2
The equation of a downward opening parabola with vertex (h, k) and vertical compression a is given by:
y = a(x - h)^2 + k
In this case, the vertex is (-5, 2) and the vertical compression is 0.5. Therefore, we have:
h = -5
k = 2
a = 0.5
Substituting these values into the equation above, we get:
y = 0.5(x + 5)^2 + 2
This is the equation of the downward opening parabola with the given vertex and vertical compression.
To know more about vertical compression, visit:
https://brainly.com/question/28968436#
#SPJ11
The owner of a meat market has an assistant who has determined that the weights of roasts are normally distributed, with a mean of 3.2 pounds and standard deviation of 0.8 pounds. for a sample of 25 roasts, what is the probability of sample mean less than 3.1 pounds
The probability of sample mean less than 3.1 pounds: 0.266. The correct option is C.
The weights of roasts are normally distributed with a mean of 3.2 pounds and a standard deviation of 0.8 pounds. In a sample of 25 roasts, we want to find the probability that the sample mean is less than 3.1 pounds.
First, we need to calculate the standard error of the mean, which is the standard deviation divided by the square root of the sample size:
Standard error = 0.8 / √25 = 0.8 / 5 = 0.16
Now, we need to calculate the z-score for the sample mean of 3.1 pounds:
Z = (Sample mean - Population mean) / Standard error = (3.1 - 3.2) / 0.16 = -0.1 / 0.16 = -0.625
Using a z-table or calculator, we find the probability associated with a z-score of -0.625:
P(Z < -0.625) ≈ 0.266
Therefore, the probability of the sample mean being less than 3.1 pounds is approximately 0.266, which corresponds to option C.
To know more about probability, refer here:
https://brainly.com/question/29221515#
#SPJ11
Complete question:
The owner of a meat market has an assistant who has determined that the weights of roasts are normally distributed, with a mean of 3.2 pounds and a standard deviation of 0.8 pounds. For a sample of 25 roasts, what is the probability of sample mean less than 3.1 pounds?
a. 0.495
b. 0.450
c. 0.266
d. 0.521
Need help asap.
(Angles Formed by Chords, Tangents, Secants)
The value of angle LQ in the intersected arc is 34 degrees.
How to find arc angle when secant intersect?If two secants intersect in the interior of a circle, then the measure of each angle formed is half the sum of the measures of its intercepted arcs.
Therefore, let's find the arc angle LQ as follows:
let
x = arc angle LQ
m∠U = 1 / 2 (108 - x)
37 = 54 - 0.5x
subtract 54 from both sides of the equation
37 = 54 - 0.5x
37 - 54 = 54 - 54 - 0.5x
-17 = -0.5x
divide both sides by -0.5
x = -17 / -0.5
x = 34 degrees
Therefore,
arc angle LQ = 34 degrees
learn more on arc angle here:https://brainly.com/question/29030115
#SPJ1
which graph represents the linear equation y= 1/2 x + 2
Answer:
The graph on the top right
Step-by-step explanation:
The slope-intercept form is y = mx + b
m = the slope
b = y-intercept
The equation is y = 1/2x + 2
The y-intercept in this equation is 2, meaning the graph has a point (0,2) on it. Looking at the options, the only graph that has a point (0,2) is the map on the top right, and that is the answer.
Zelda has 8 rabbits with which to start an animal farm. If the rabbit population doubles each month, in how many months will the rabbit population be 5,800?
In a case whereby Zelda has 8 rabbits with which to start an animal farm. If the rabbit population doubles each month, the number of months that the rabbit population will be 5,800 is 9.5 months.
How can the the number of months?In order to calculatre the month then we can use the expression y = abⁿ
a = starting number ( 8 rabbits)
b = rate of change = (2)
n = number of months that we need to calculate
y = rabbit population = 5800
The we can substitute to have
5800 = 8 × 2ⁿ
5800 / 8 = 2ⁿ
725 = 2ⁿ
n = 9.5 months.
Learn more about population at:
https://brainly.com/question/25630111
#SPJ1
a bank account earns 0.06% annual interest compounded monthly the bank B of the account after T months started with the $250 is given by the equation B =250(1.06)^t. How long will it take to triple the balance of the account?
It will take about 387.3 months (or about 32.3 years) to triple the balance of the account.
What is Compound Interest ?
Compound interest refers to the process of earning interest on both the initial principal amount as well as any accumulated interest from previous periods. In other words, it is the interest that is earned on the interest that has been accumulated over time.
We can use the formula for compound interest to solve this problem.
Where:
A = the final amount
P = the initial amount
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the time (in years)
In this problem, we have:
P = $250
r = 0.06% = 0.0006 (as a decimal)
n = 12 (since the interest is compounded monthly)
A = 3P = $750
Substituting these values into the formula, we get:
750 = 250[tex](1 + 0.0006/12) ^{12t}[/tex]
Dividing both sides by 250, we get:
3 =[tex](1 + 0.0006/12) ^{12t}[/tex]
Taking the natural logarithm of both sides, we get:
㏒(3) = 12t ㏒(1 + 0.0006÷12)
Solving for t, we get:
t = ㏒(3)/(12 ㏒(1 + 0.0006÷12))
Plugging this into a calculator, we get:
t ≈ 387.3 months
Therefore, it will take about 387.3 months (or about 32.3 years) to triple the balance of the account.
To learn more about Compound interest from given link.
https://brainly.com/question/14740098
#SPJ1