Answer:
George and Sue's money will grow due to both to their contributions and the simple interest that they accrue. Simple interest means that the interest they receive will be applied to the principle, but not the interest that has been accrued. This means that for every $10,000 they put in, they will receive $400 dollars in interest every year, and this number will not change with time.
Right now, they've deposited 10,000 every 7 years for a total of 70,000 dollars. Their annual interest therefore is 400 * 7 = 2800. With every 10,000 dollars they deposit, the yearly interest will grow by $400. This is different from compounding interest, in which annual interest will grow by more than $400 dollars every year since the rate will be applied to principle and all accrued interest.
Step-by-step explanation:
it takes Joaquin 1/3 hours to walk to the library 3/4 miles away what is his walking pace in miles per hour
Help me asap!!
quick before I'm late
36/2 = 18
80/2=40
36/80 = 18/40
18/2 =9
40/2 = 20
36/80 = 9/20
fill in the table using this function rule. y=-4x+2
x y
-1
0
1
2
To fill in the table using the function rule y = -4x + 2, substitute the given x-values into the equation and solve for y.
To fill in the table using the function rule y = -4x + 2, substitute the given x-values into the equation and solve for y.
For x = -1, substitute x = -1 into the equation: y = -4(-1) + 2
For x = 0, substitute x = 0 into the equation: y = -4(0) + 2
For x = 1, substitute x = 1 into the equation: y = -4(1) + 2
For x = 2, substitute x = 2 into the equation: y = -4(2) + 2
By evaluating the expressions, you will obtain the corresponding y-values for each x-value.
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Section J in an arena has 20 rows. Each row has 15 seats. Our tickets cost $18 each. If all the seats are sold, how much money with the Arena collect the section J
what is the perimeter of the trapezoid graphed below?
Bills had enough to buy no more than 1/2 pound of cheese. How much cheese could he buy?
Bill can buy less than or equal to (≤) a 1/2 pound of cheese.
Hope this answers the question.
The number of cases of a new disease can be modeled by the quadratic regression equation y = –2x2 + 36x + 6, where x represents the year.
Which is the best prediction for the number of new cases in year 15?
A. 194
B. 96
C. 328
D. 614
Answer: B 96
Step-by-step explanation:
By evaluating the function in x = 15, we will see that in the year 15 there will be 96 cases.
Which is the best prediction for the number of new cases in year 15?
The function that predicts the number of cases in the year x is given by:
[tex]y = -2x^2 + 36x + 6[/tex]
So we just need to evaluate that function in x = 15, this means replacing x by 15.
[tex]y = -2*15^2 + 36*15 + 6 = 96[/tex]
So we can expect that in the year 15, there will be around 96 cases. Then the correct option is B.
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In a poll, respondents were asked whether they had ever been in a car accident. 215 respondents indicated that they had been in a car accident and 449 respondents said that they had not been in a car accident. If one of these respondents is randomly selected, what is the probability of getting someone who has been in a car accident? Round to the nearest thousandth, if necessary
The probability of getting someone who has been in a car accident will be 0.3238
Number of people that indicated that they had been in a car accident = 215 respondents
Number of people that said that they had not been in a car accident = 449
The probability of getting someone who has been in a car accident will then be calculated as:
= 215/664
= 0.3238
Therefore, the probability of getting someone who has been in a car accident will be 0.3238
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How many lines can be drawn through points j and k?
A theatre contains 441 seats and the ticket prices for a recent play were $60 for adults and $16 for children. If the total proceeds were $14,800 for a sold-out matinee, how many of each type of ticket were sold?
Which step could be used to solve x + 3.6 = -1.7 for x in one step? Check all that apply.
[ ] add 3.6 to both sides
[ ] add -3.6 to both sides
[ ] add 1.7 to both sides
[ ] add -1.7 to both sides
[ ] subtract 3.6 from both sides
[ ] subtract 1.7 from both sides
Answer: Option (2) and (5) are the correct options.
Step-by-step explanation:
Since, the given expression, x+3.6= -1.7
If we add -3.6 in both sides then we get x+3.6+(-3.6)=1.7-3.6⇒x= -1.9
while,
If we subtract 3.6 from both sides then we get x+3.6-3.6=1.7-3.6⇒x= -1.9
Thus, In the above by adding -3.6 and by subtracting 3.6 we get the value of x in one step.(because after this only x remains in LHS of the given expression)
Therefore, Option (2) and (5) are correct.
Note: Except these two options we can not get x in one step. (we can not get single x in LHS of the given expression by the other options.)
Answer:
b e
Step-by-step explanation:
If $16,400 is deposited into a CD paying 5.1% annually, how much will be in the account after 20 years? Enter your answer rounded to the nearest cent.
16,400 x (1 + 0.051)^20 =
16400 x (1.051)^20 =
16400 x 2.70429659 =
$44,350.46
Anyone know how to do B? Help please do!
Decrease £1280 by 60%
Is 27 a percent square?
Suppose your statistics professor reports test grades as z-scores, and you got a score of 2.20 on
To transport 228 people to an island island ferry make six different trips on each trip the ferry carries the same number of people how many people does the ferry transport on each trip
Answer:
38 people
Step-by-step explanation:
Given: To transport [tex]228[/tex] people to an island island ferry make six different trips on each trip the ferry carries the same number of people.
To Find: how many people does the ferry transport on each trip.
Solution:
Total number of people to be transported [tex]=228[/tex]
Total number of trips made by island ferry [tex]=6[/tex]
As ferry carries same number of people in each trip
number of people ferry transport in each ferry [tex]=\frac{\text{total number of people to be transported}}{\text{total number of ferries}}[/tex]
putting values,
[tex]=\frac{228}{6}[/tex]
[tex]38[/tex]
Hence number of people ferry transport in each island ferry is [tex]38[/tex].
Ryan earned $376 by working for 4 days. If he earned the same amount each day, how much could he earn working 5 days?
What is y-10=9(x+8) written in standard form?
Answer:
-9x+y=82
Step-by-step explanation:
hope this helped!
The equation y-10=9(x+8) can be transformed into standard form by distributing, simplifying, and rearranging terms to get 9x - y = -82.
Explanation:The given equation is y-10=9(x+8), and we're asked to change this slope-intercept form into the standard form. First, we'll start by distributing the 9 to both x and 8 which will result in y-10 = 9x + 72. Then, we'll bring terms involving x and y to one side of the equation, leading to -9x + y = 82. This is almost in standard form, but typically we want the leading coefficient (the coefficient of x) to be positive, so we'll multiply the equation by -1. This gives us 9x - y = -82, which is the equation in standard form.
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if f(x)=-x+8 and g(x)= x^4 what is (g°f)(2)?
ron has a 4 1/2 pound bag of beans. he wants to sell the beans in 2/3 pound bags. how many whole bags can he fill?
What is the unit rate for 4543.08 km in 52.4 h? Enter your answer, as a decimal, in the box. km/h
Final answer:
The unit rate, or average speed, for traveling 4543.08 km in 52.4 hours is calculated by dividing the distance by the time, resulting in an average speed of 86.70 km/h.
Explanation:
The question asks for the unit rate of 4543.08 km traveled in 52.4 hours, which is essentially asking for the average speed in kilometers per hour (km/h). To find this, you would divide the total distance traveled by the total time taken.
Mathematically, this is expressed as:
Distance (km) / Time (h) = Speed (km/h)Substituting the given values:
4543.08 km / 52.4 h = 86.70 km/hTherefore, the unit rate or average speed is 86.70 km/h. It's important to note that when calculating such problems, it's essential to maintain consistency in the units (in this case, km for distance and hours for time) to ensure the accuracy of your result.
To make 112 dozen muffins, a recipe uses 312 cups of flour.
How many cups of flour are needed for every dozen muffins made?
A recipe uses 6 cups of cheese to serve 30 people. How much cheese is needed for 50 people
Jimmy ran 3 miles west and then 4 miles north. How far is he from his starting point if he went in a straight line? (It makes a right triangle.)
the straight line would be 3^2 + 4^2 = X^2
9+16 = x^2
25 = x^2
x = sqrt(25)
x = 5
it is 5 miles
What is the circumference and area of a circle with a radius of 4 meters? Round your answer to the nearest tenth. (Use 3.14 for Pi.)
Answer: Circumference = 25.1 meters.
Area = 50.2 square meter.
Step-by-step explanation:
The circumference of a circle is given by :-
[tex]C=2\pi r[/tex]
Area of circle is given by :-
[tex]A=\pi r^2[/tex], where r is the radius.
Given : Radius = 4 meters
Then circumference of the circle will be :-
[tex]C=2(3.14) (4)=25.12\approx25.1\text{ meters}[/tex]
Area of circle is given by :-
[tex]A=(3.14)(4)^2=50.24\approx50.2\text{ meters}^2[/tex]
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The perimeter of a church window is 80 inches. If the window is in the shape of a square.what is the length of each side of the window?
The length of each side of the church window is 20 inches.
Explanation:To find the length of each side, we need to determine the perimeter of the square. The perimeter is the sum of all four sides of the square. In this case, it is given that the perimeter is 80 inches. Since all sides of a square are equal in length, we can divide the perimeter by 4 to find the length of each side. So, each side of the church window will be 80 inches divided by 4, which is 20 inches.
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Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately 5,880,000,000,000 miles. Suppose a star is 13.6 light-years from Earth. In scientific notation, how many miles away is it?
Answer:
The distance traveled in 13.6 light year is [tex]7.9968\times 10^{13}\text{ miles}[/tex]
Step-by-step explanation:
Given : Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately 5,880,000,000,000 miles. Suppose a star is 13.6 light-years from Earth.
To find : In scientific notation, how many miles away is it?
Solution :
According to question,
The distance can travel in 1 light year is
[tex]1 \text{ light year} = 5,880,000,000,000 \text{ miles}[/tex]
We have to find the distance traveled in 13.6 light-years.
[tex]13.6 \text{ light year} =13.6\times 5,880,000,000,000 \text{ miles}[/tex]
[tex]13.6 \text{ light year} =79,968,000,000,000 \text{ miles}[/tex]
In scientific notation,
[tex]13.6 \text{ light year} =7.9968\times 10^{13}\text{ miles}[/tex]
Therefore, The distance traveled in 13.6 light year is [tex]7.9968\times 10^{13}\text{ miles}[/tex]
Graph the system of equations below on a piece of paper. What is the solution?
y = x – 1
y = 3x + 1

A. (2, 1)

B. (1, –2)

C. (–1, –1)

D. (–1, –2)
Answer:
Option D is correct
Solution = (-1, -2)
Step-by-step explanation:
Given the equation:
y = x – 1 ....[1]
y = 3x + 1 ....[2]
Equate equation [1] and [2] to solve for x.
[tex]x-1=3x+1[/tex]
Subtract x from both sides we have;
[tex]-1=2x+1[/tex]
Subtract 1 from both sides we have;
[tex]-2=2x[/tex]
Divide both sides by 2 we have;
x = -1
Substitute the value of x = -1 in [1] we have;
y=-1-1 = -2
Graphically:
Graph the system of equations as shown below.
The intersection point of these lines is the solution for the given system of equation
⇒ (-1, -2)
Therefore, the solution for the given system of equation is, (-1, -2)
What is the amount of sales tax on a suit priced at $2977 if the sales tax rate is 4%?