Answer:
Option C. 12 years
Step-by-step explanation:
Let principal amount taken = x
We know the formula of compound interest
Final amount = Principal amount×[tex](1+\frac{r}{n})^{nt}[/tex]
Where r = rate of interest (per year)
n = number of times compounded (annually)
t = time in years (years)
Here we have to find the time in which principal amount is doubled.
From the question r = 6% = .06
n = 1
Principal amount = P
Final amount = 2P
Now we put these values in the formula
[tex]2P=P(1+.06)^{t}[/tex]
[tex]2=(1.06)^{t}[/tex]
Now we take log on both the sides
[tex]log(2)=log(1.06)^{t}[/tex]
0.301 = tlog(1.06)
0.301 = t×(.025)
[tex]\frac{0.301}{0.25}=t[/tex]
t = 12 years.
Option C. 12 years is the answer.
What kind of graph is this?
Write these decimal fractions in words 0.17
Which linear function has the same y-intercept as the one that is represented by the graph?
Which equation represents a line that passes through (–9, –3) and has a slope of –6?
5.6 times what equals to -19.04
The given equation can be rearranged as a division problem: -19.04 divided by 5.6. The solution to this is -3.4. Thus, 5.6 times -3.4 equals -19.04.
Explanation:To answer the question, we must find the unknown variable in your given equation, where you are multiplying a number (5.6) by some unknown figure to get -19.04. This type of math problem is a division problem arranged differently. Instead of saying '5.6 times what equals to -19.04', we can rearrange it to say '-19.04 divided by 5.6 equals what'.
To get the answer, simply divide -19.04 by 5.6, which equals -3.4. So 5.6 times -3.4 equals -19.04.
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A family pass to amusement park cost $54 using the distributive property write an expression that can be used to find the cost in dollars of 8 family
Most evenings after dinner Duarte spends 30 minutes playing chess with his dad. Write an equation for the number of minutes, m, that Duarte spent playing chess with his dad if they played chess together e evenings.
During a catered lunch, an average of 4 cups of tea are poured per minute. The lunch will last 2 hours. How many gallons of tea should the caterer bring if there are 16 cups in one gallon?
Your hair is 6 inches long and grows at a rate of 144 millimeters per year. a. Convert 144 millimeters per year to inches per year. Round your answer to the nearest tenth. b. Write an equation that represents the length y (in inches) of your hair after x years. c. How long is your hair after 4 years?
The rate of hair growth in inches is 5.67 inches per year and in 4 years hair will be 28.68 inches long.
As mentioned in the question,
Your hair is 6 inches long and grows at a rate of 144 millimeters per year. a. Convert 144 millimeters per year to inches per year.
The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
1 inch = 25.4 millimeters,
For, also 1 millimeters = 1 / 25.4 inches,
So,
144 millimeters per year = 144 / 25.4 inches per year
= 5.67 inches per year
Now,
Growth after 4 years,
= 4 × 5.67 + 6
= 28.68
Thus, the rate of hair growth in inches is 5.67 inches per year and in 4 years hair will be 28.68 inches long.
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which expression is represented by the model below?
What is the sales tax on a jacket priced at $350 if the sales tax rate is 7%
Match the pairs of equations that represent concentric circles. Tiles
Write the value of 1710 in standard form
Information about a shipment of mirrors to a local store is shown.
Of all of the medium mirrors that were shipped, how many of them were broken?
A. 68
B. 78
C. 164
D. 208
The table is an illustration of a two-way table
The number of medium mirrors that were not broken are 68
Start by calculating the number of medium mirrors
Medium = 480 - 214 - 102
Evaluate the difference
Medium = 164
From the question 96 mirrors are not broken.
So, the number of broken mirror is:
Broken = 164 - 96
Evaluate the difference
Broken = 68
Hence, the number of medium mirrors that were not broken are 68
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ally and barbara, and katherine will share the cost of a vacation rental for a week. aly agrees to pay 30% of the cost. barbara agrees to pay 0.45 of the coat. katherine will pay the remaining balance. if the total rental coast $960, how much will ally, barbara, and katherine each pay towards the week's rent?
Enter the degree of the polynomial
5x5 + 8x2 + 2x – 3x9 – 8x4 – 4x5
Answer:
9
Step-by-step explanation:
I got it right on ape-x
Find the equation of the ellipsoid passing through the points (±7,0,0),(0,±1,0)(±7,0,0),(0,±1,0) and (0,0,±4)
Find all the real fourth roots of 256.
4
-8 and 8
8
-4 and 4
Which of the following is the best example of a characteristic of an experiment?
a.Participants should be selected into the treatment group randomly.
b.Participants are rarely aware that they are part of an experiment.
c.Participants are observed without researchers making changes to their behaviors.
d.The results of an experiment are based on a questionnaire given to a random sample of the population.
Answer with sometimes, always, or never true. Give an example/counterexample.
When a point is reflected across the y-axis, the new point has a negative x-coordinate.
Final answer:
The statement that a point reflected across the y-axis results in a point with a negative x-coordinate is sometimes true, depending on the original point's location relative to the y-axis.
Explanation:
When a point is reflected across the y-axis, the result depends on the initial position of the point relative to the y-axis. The statement that the new point has a negative x-coordinate is sometimes true. If a point lies to the right of the y-axis (positive x-coordinate), reflecting it across the y-axis will indeed result in a point with a negative x-coordinate. However, if the original point is to the left of the y-axis (already has a negative x-coordinate), reflecting it across the y-axis will give it a positive x-coordinate.
Example
If the original point is (3, 2), reflecting it across the y-axis results in (-3, 2), which supports the statement.
If the original point is (-4, 5), reflecting it across the y-axis yields (4, 5), which contradicts the statement.
Therefore, the correct answer is sometimes true, demonstrating the importance of considering the position of the original point in relation to the y-axis.
What is 600000-347201
Andreus made $625 mowing yards. He worked for 5 consecutive days and earned the same amount of money each day. How much money did Andreus earn per day
write 129.04 in words
Solve the following equations. Some equations will have a single answer, others will have no solution, and still others will have infinite solutions
1. 2x + 2x + 2 = 4x + 2
2. 3(x − 1) = 2x + 9
3. 2x + 8 = 2(x + 4)
4. 2x − x + 7 = x + 3 + 4
dr. lee went to a bank to get a loan for some new furniture for the waiting area at her clinic. she wanted to borrow $5,000 to be paid back over 3 years. last week the interest rate was 4.25%. but this week theinterest rate went up to 4.50%. how much additional interest will Dr. lee pay because she waited the extra week
Amanda used 3/4 cup of sugar to make 2 dozen cookies. How much sugar is in each cookie? (Dozen=12)
Colin drove 45 minutes to the airport. He arrived 90 minutes before his flight departed, and then he spent 70 minutes in the air. Once he landed, Colin spent 20 minutes gathering his luggage, and then he drove 35 minutes to his hotel. What must be true of any expression that represents the total time that Colin spent traveling from his house to the hotel? The numbers can be added in any order. The number 45 must be the first addend, and 35 must be the last addend. The numbers must be added in the order 45, 90, 70, 20, and 35. The numbers must be added in either the order 45, 90, 70, 20, and 35 or the order 35, 20, 70, 90, and 45.
Answer:
The numbers must be added in the order 45, 90, 70, 20, and 35.
Step-by-step explanation:
Answer:
The numbers must be added in the order 45, 90, 70, 20, and 35
Step-by-step explanation:
:3
Which linear inequality is represented by the graph?
a.y >2/3 x – 2
b.y < 2/3x + 2
c.y2/3 > 2/.+ 1
d.y<2/3 x – 1
The airport garage charges $5 to park for the first hour and then $3.50 an hour for any additional hours. Ben paid $57.50 to park there one day when he flew to another city. How many hours was he parked at the airport?
Final answer:
Ben was parked at the airport for a total of 16 hours, after calculating the initial cost for the first hour and then dividing the remainder by the hourly rate for additional hours.
Explanation:
The student's question asks how many hours Ben was parked at the airport, given that the parking cost is $5 for the first hour and $3.50 for each additional hour, with a total fee of $57.50.
First, we subtract the initial $5 from the total cost to determine the cost of additional hours:
$57.50 - $5 = $52.50 for additional hours
Next, we divide the remaining cost by the hourly rate for additional hours to find the number of additional hours Ben parked:
$52.50 ÷ $3.50/hour = 15 hours
Finally, we add the first hour to the additional hours to calculate the total hours parked:
15 hours + 1 hour = 16 hours
Thus, Ben was parked at the airport for a total of 16 hours.
Fred Johnson's total insurance premium is $1,200. His employer pays 60% of the total premium. How much does Fred pay? $480 $720 $2,000 $3,000
Answer: First option is correct.
Step-by-step explanation:
Since we have given that
Amount of Fred Johnson's total insurance premium = $1200
Percentage of total premium his employer pays = 60%
Remaining percentage of total premium he pays is given by
[tex]100\%-60\%=40\%[/tex]
So, amount of insurance premium Fred Johnson pay is given by
[tex]\frac{40}{100}\times 1200\\\\=40\times 12\\\\=\$480[/tex]
Hence, First option is correct.