You find an apartment which charges $870 a month rent. Each year the rent increases by 13%.
a. Write a sequence that represents the rent paid each year for the first 5 years. Show all your steps.
Answers
The grouping that addresses the lease paid every year for the initial 5 years is:
$983.10, $1,109.77, $1,251.05, $1,410.46, $1,590.02
What formula use to find sequence?To write a sequence that represents the rent paid each year for the first 5 years, we can use the formula:
\(Rn = R0 * (1 + r)^n\)
where Rn is the lease paid in the nth year, R0 is the underlying rent, r is the yearly increment rate as a decimal (for this situation, 13% or 0.13), and n is the year number.
For the first year (n=1), we have:
\(R1 = $870 * (1 + 0.13)^1 = $983.10\)
For the second year (n=2), we have:
\(R2 = $870 * (1 + 0.13)^2 = $1,109.77\)
For the third year (n=3), we have:
\(R3 = $870 * (1 + 0.13)^3 = $1,251.05\)
For the fourth year (n=4), we have:
\(R4 = $870 * (1 + 0.13)^4 = $1,410.46\)
For the fifth year (n=5), we have:
\(R5 = $870 * (1 + 0.13)^5 = $1,590.02\)
The following sequence represents the annual rent payment for the first five years:
$983.10, $1,109.77, $1,251.05, $1,410.46, $1,590.02
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Related Questions
5EColumn AColumn B1. eTriangle GAFa. Right, Scalene2.Triangle BECb. Obtuse, Isoscelesa3.bTriangle BFGObtuse, Scalene4.d. Equiangular, Equilateralc сTriangle CFEe. Right, Isoscelesf. Acute, Isosceles
Answers
Triangle GAF is an
\(\begin{gathered} Isosceles\text{ triangle as 2 sides are equal and acute angles as all } \\ \text{the angles is less than 90 degre}e \end{gathered}\)Triangle BEC is a
\(\begin{gathered} Isosceles\text{ triangle as 2 sides are the same.} \\ it^{}\text{ is an obtuse triangle } \end{gathered}\)Triangle BFG is an
\(\begin{gathered} \text{Equilateral triangle as all sides are equal. } \\ Equilateral\text{ triangle are equiangular as all the angles are equal} \end{gathered}\)Triangle CFE is
\(\begin{gathered} \text{Right angle triangle .} \\ A\text{ right angle triangle has one angle equal to 90 degre}e. \\ \text{The triangle is also scalene as all the sides are different} \end{gathered}\)b. Express log2 24 in terms of prime factors and leave answer in the most simplified form using properties of logarithms. (2 Marks)
Answers
log₂ 24 can be expressed as 3 + log₂ 3 in terms of prime factors, using the properties of logarithms.
To express log₂ 24 in terms of prime factors, we can use the properties of logarithms and the fact that any positive integer can be expressed as a product of prime factors.
First, let's find the prime factorization of 24.
24 can be divided by 2, so we have 24 = 2 × 12.
12 can be divided by 2, so we have 12 = 2 × 6.
6 can be divided by 2, so we have 6 = 2 × 3.
Therefore, the prime factorization of 24 is 2 × 2 × 2 × 3, or 2³ × 3.
Now, using the properties of logarithms, we can express log₂ 24 as the sum of logarithms of its prime factors.
log₂ 24 = log₂ (2³ × 3)
According to the properties of logarithms, we can separate the factors inside the logarithm as individual terms:
log₂ (2³ × 3) = log₂ 2³ + log₂ 3
Since log₂ 2³ is equal to 3, we can simplify the expression further:
log₂ (2³ × 3) = 3 + log₂ 3
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help me plss to find the area
Answers
Answer:
A=88 square units
Step-by-step explanation:
A=B x H
A= 11 x 8
A=88 square units
A survey of 80 students found that 24 students both play in the band and play a sport. But 22 students are not in band and do not play a sport. There are 48 students in the band. If being in band is the row variable and playing sports is the column variable, fill in the labels in the table.
A 4-column table with 3 rows. Column 1 has entries in band, not in band, total. Column 2 is labeled play a sport with entries a, d, g. Column 3 is labeled do not play a sport with entries b, e, h. Column 4 is labeled total with entries c, f, i.
Which of the following correctly represents the given data in the problem?
a = 24, g = 48, h = 22, i = 80
a = 22, c = 80, d = 24, i = 48
a = 24, b = 48, c = 22, i = 48
a = 24, c = 48, e = 22, i = 80
Answers
Answer:
yes
Step-by-step explanation:
mark me brainlist please
Answer:
the answer is d
Step-by-step explanation:
Dena is buying wallpaper. It costs $8.79 per meter. She needs 120 feet. How much will the wallpaper cost? Round to the nearest half dollar.
Answers
Answer:
321.50 dollars.
Step-by-step explanation:
Dena is buying wallpaper. It costs $8.79 per meter. She needs 120 feet. How much will the wallpaper cost? Round to the nearest half dollar.
This is a tricky math problem that requires some conversions and calculations. First, we need to convert feet to meters, because Dena lives in a country that uses the metric system. According to the search results , one foot is equal to 0.3048 meters. So, 120 feet is equal to 120 x 0.3048 = 36.576 meters.
Next, we need to multiply the length of the wallpaper by the price per meter to get the total cost. The total cost is 36.576 x 8.79 = $321.38.
Finally, we need to round the total cost to the nearest half dollar. This means we need to look at the cents part of the cost and see if it is closer to 0, 50 or 100. In this case, 38 cents is closer to 50 than to 0 or 100, so we round up the cost to $321.50.
Therefore, Dena will have to pay $321.50 for the wallpaper. That's a lot of money for some paper that will probably peel off in a few years! Maybe she should consider painting her walls instead.
Im in 6th and im too lazy to do this so please tell me the answer to both!! Tysm!
Answers
Answer:
Question 1: Yes
Question 2: Ralph
Step-by-step explanation:
\(\frac{3}{4} +\frac{2}{3} +\frac{3}{4} = 2\frac{1}{6}\)
\(10.38 < 10.6\)
Graph the system of equations on your graph paper to answer the question.
{y=x−4y=−x+6
What is the solution for this system of equations?
Answers
Answer: (5 , 1)
Step-by-Step explanation:
hihi your problem is a system of question y = x-4 and y = -x+6 okay so graph them both normally and then find the point where they intersect which is gonna be a coordinate point, and that's your solution !!
y = x-4
the y intersect is going to be 4
the slope is a positive 1 , going up to the right, through the positive quadrant, line is facing to the right
y = -x+6
the y intersect is going to be -6
the slope is going to be a -1 , following up the opposite way the line is going to face the left
once you graph them both you'll see the point of intersection, the solution
make sure you drew your lines very clearly !!!!
the solution is x = 5 and y = 1 which is also (5 , 1)
hopefully this was helpful !
A student 6ft tall is standing 20ft away from a 35ft tall flagpole.
The flagpole is 60ft away from a building.
From the students point of view, the flagpole is lined up perfectly with the top of the building.
What's the height of the building?
PLEASE HELP MEEEE!!!!!
Answers
A student 6ft tall is standing 20ft away from a 35ft tall flagpole.
The flagpole is 60ft away from a building.
From the students point of view, the flagpole is lined up perfectly with the top of the building.
What's the height of the building?
The numbers of beads on 500 handcrafted bead necklaces follow a normal distribution whose mean is 24 beads and standard deviation is 4 beads. Which sentence most closely summarizes the data?
Answers
About 80 necklaces have more than 28 beads. Then the correct option is C.
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The numbers of beads on 500 handcrafted bead necklaces follow a normal distribution whose mean is 24 beads and the standard deviation is 4 beads.
P(x > 28) = P(x - 24 / 4 > 28 - 24 / 4)
P(x > 28) = P(x - 24 / 4 > 1)
P(x > 28) = 1 - ∅1
P(x > 28) = 1 - 0.8413
P(x > 28) = 0.1587
Multiply both sides by 500, then we have
500 P(x > 28) = 0.1587 × 500
500 P(x > 28) = 79.35
500 P(x > 28) ≈ 80
About 80 necklaces have more than 28 beads. Then the correct option is C.
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The missing options are given below.
A. About 24 devices have more than 28 beads.
B. About 48 necklaces have more than 28 beads.
C. About 80 necklaces have more than 28 beads.
D. About 96 necklaces have more than 28 beads.
Hey can someone help me :)
Answers
Convert 22 miles to feet.
1 mile = 5280 feet
22 × 5280 = 116,160 feet
2.
To convert this you divide the speed by 60 since there's 60 minutes in an hour
125/60 = 2.0833....
Since you round the answer would be
2.1 miles per minute
can you help me figure these two problems out?
Answers
9514 1404 393
Answer:
13. a = 6; b = 2
14. a = 3; b = 6
Step-by-step explanation:
The ratios of side lengths in a 30°-60°-90° triangle are ...
1 : √3 : 2
In ∆ABD, these are the ratios of sides ...
BD : AD : AB = 1 : √3 : 2
Since BD is given as 3√2, we can multiply these ratio values by that factor to get the actual side lengths:
BD : AD : AB = 3√2×1 : 3√2×√3 : 3√2×2
= 3√2 : 3√6 : 6√2
That is ...
13. AB = 6√2 ⇒ a=6, b=2
14: AD = 3√6 ⇒ a=3, b=6
can someone help me figure out and put on graphb)
Answers
Recall that:
\(\begin{gathered} For\text{ all }l\in\mathbb{R} \\ l^2\ge0. \end{gathered}\)Notice that:
\(x^2-4x+7=x^2-4x+4+3=(x-2)^2+3.\)Since x-2 is a real number, then:
\((x-2)^2\ge0.\)Therefore:
\((x-2)^2+3\geq3>0.\)Therefore the given equation has no real solutions.
Answer: The given equation has no real solutions.
Which ordered pairs are solutions to the equation x + 6y = 4?
Answers
Answer
Two solutions over here (4,0) (0,2/3)
Step-by-step explanation:
What is the recursive formula for the arithmetic sequence 8, -2, -12, -22
Answers
(pls pls help!!) Calculate each value for ⊙P.
=
Area of shaded factor = (fraction) ft
Area of unshaded factor = (fraction) ft
Answers
The area of the shaded sector is 575π/9 square units.
The area of the unshaded sector is 325π/9 square units
What is the area of the sectors?
The value of the angle subtended by the unshaded sector is 130⁰ the value of the angle subtended by the shaded sector is 230⁰.
To find the area of a sector with radius 10 units and angle 230⁰, we can again use the same formula:
Area of sector = (angle/360) x πr^2
Substituting the values given in the formula, we get:
Area of sector = (230/360) x π(10)²
= (23/36) x 100π
= 575π/9 square units
To find the area of a sector with radius 10 units and angle 130⁰, we can use the formula:
Area of sector = (angle/360) x πr^2
Substituting the values given in the formula, we get:
Area of sector = (130/360) x π(10)^2
= (13/36) x 100π
= 325π/9 square units
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Name three collinear points.
Answers
Answer:
D, G and F or I, G and J------------------------
Collinear points are the points on the same line.
There are two lines in the diagram.
The collinear points:
D, G and F on one lineI, G and J on the second lineThe points that are collinear are D,G and E and another set of points which are collinear are L,G and J.
The points which lie on the same straight line are known as collinear points.
Similarly, if three or more number of points are collinear then they form a straight line.
If we observe the figure, the points D,G and E are collinear points as they are on same line.
Similarly the points L, G and H are in the straight line which makes them collinear.
Therefore , the points L,G and J are collinear points.
Hence, the points that are collinear are D,G and E and another set of points which are collinear are L,G and J
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Find the solution to the system of equations.
−2x+2y=−4
3x+3y=−18
Answers
Answer:
x = -2
y = -4
Explanation:
To find the y-intercept, substitute the x with 0. To find the x-intercept, substitute the y with 0. You can then graph the lines using these intercepts, and see that they intercept at (-2, -14).
at a basketball game, a vender sold a combined total of 166 sodas and hot dogs. The number of hot dogs sold was 54 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.
Answers
The best way to solve these sorts of problems that involve two factors of unknown quantities but with certain properties is to use equations:
Let's set some variables
h: # of hot dogs solds: # of sodas soldNow based on the information given by the question, let's set up some equations:
vender sold a combined total of 166 sodas and hot dog⇒ \(s + h = 166\)
number of hot dogs sold was 54 less than the number of sodas sold⇒ h = s - 54
Now lets put the equation together
s + h = 166 -- equation 1
h = s - 54 -- equation 2
Solve:
Plug the value of h from equation 2 into equation 1
s + (s - 54) = 166
2s - 54 = 166
2s = 220
s = 110 -- equation 3
Plug the value of s from equation 3 into equation 2
h = 110 - 54 = 56
h = 56
Therefore:
number of sodas sold: 110number of hot dogs sold: 56Hope that helps!
Find the equation of a line with the given informatio f(-6) = 9 and f (20) = 5.
Answers
The equation of the line is with the coordinates f(-6) = 9 and f (20) = 5. is y = (-2/13)x + 117/13.
What is slope-intercept form?Y = mx + b, where m is the line's slope and b is the y-intercept, is the slope-intercept form of a linear equation. This form is helpful since it provides information about the line's slope and y-intercept in a clear and understandable manner. We can quickly determine the slope of the line (m) and its point of intersection with the y-axis by glancing at the equation (b). By beginning at the y-intercept and using the slope to determine other locations along the line, we can also graph the line using this method.
The slope of the line is given as:
m = (y2 - y1) / (x2 - x1)
Substitute the given coordinates:
m = (5 - 9) / (20 - (-6))
m = -4 / 26
m = -2 / 13
Using the point slope form we have:
y - y1 = m(x - x1)
Using the point (-6, 9):
y - 9 = (-2/13)(x - (-6))
y - 9 = (-2/13)x - 12/13
y = (-2/13)x + 117/13
So the equation of the line is y = (-2/13)x + 117/13.
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The range of values for x?
Answers
Answer:
x = 32
but
I would say anything from 30 to 33
but truly i have no clue about the range
Step-by-step explanation:
3x-9=87 (because 180 -93 =87)
3x = 96
x = 32
Answer:
it is 32
Step-by-step explanation:
Question 4 please help!
Answers
The percentage of the people surveyed that had a cell phone will be 38.9%.
How to calculate the percentage?A percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.
The percentage of the people surveyed that had a cell phone will be;
= 236 / (317 + 236 + 263) × 100
= 236 / 816
= 28.9%
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The difference between a number x and 10 is 18
Answers
Step by step explanation:
10 + 18 = 28
Cause 10 + 18 = 28
And 28 - 10 = 18
El 32%de 125 cual es la respuesta
Answers
Answer:
40
Step-by-step explanation:
=125x32
=4,000÷100
=40
Write a system of equations to represent the scenario.
2) Clark and Bruce went to Taco Hut for lunch. Clark bought 4 burritos and 5 tacos, which cost him $6.71. Bru
bought 5 burritos and 3 tacos, which cost him $7.12.
Answers
Answer:
Step-by-step explanation:I need the same answer lol
Answer:
Step-by-step explanation:
Scenario 2 You are at a restaurant with three friends (party of 4) and need to estimate the amount of tip for your portion of the bill without using a calculator. Assume a 20% tip rate. For full credit, you will need the cost of your meal, an explanation of how you would calculate your 20% tip, and the total amount. Part B: Explain how you would solve this problem by organizing a sample calculation. Explain why organization was important in the thought process
Answers
Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.
what is amount ?aggregate attempting to determine the whole amount, time, or quantity. The amount at issue or under investigation is very active. the overall outcome, significance, or import. a third accounting, the principal, and the interest. There are word forms for quantities, amounting, and amounted. adaptable noun A thing's quantity is how much of it there is, that however much someone have, the amount you require or how much you can get. He needs that much money to make ends meet.
given
You can use a fraction to express the percentage 20%.
This is inferred from the fact that the sign for percentage,% means to divide by 100.
Therefore, it is important to understand that 20% equals 20/100, or 1/5.
As a result, the 20% tip represents one-fifth of the total.
Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.
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Semi circle ! Please help. URGENT
Answers
Step-by-step explanation:
1)
What is the radius and the circumference of the semicircle.
Diameter of semi circle = 12 in
Radius = 12 /2 = 6 in
Circumference of semi circle = πr + 2r
= 3.14 × 6 + 2 × 6
= 18.84 + 12
= 30.84 inches
2) What is the area of each semi circle?
when diameter is 5 in
Radius = 5/2 = 2.5 in
Area of semicircle = \( \dfrac{1}{2} \pi {r}^{2} \)
\( \rightarrow \sf\dfrac{1}{2} \times 3 .14 \times 2.5 \times 2.5 \\ \\ \rightarrow \sf \frac{19.625}{2} \\ \\ \rightarrow \sf9.82 \: {in}^{2} \)
When the diameter is 6.4 in
Radius = 6.4/2 = 3.2 in
Area of semicircle = \( \dfrac{1}{2} \pi {r}^{2} \)
\( \rightarrow \sf\dfrac{1}{2} \times 3 .14 \times 3.2 \times 3.2 \\ \\ \rightarrow \sf \frac{32.1536}{2} \\ \\ \rightarrow \sf16.08 \: {in}^{2} \)
Write an equation of the line that passes through (2, 2) and is parallel to the line y = 7x
I need the equation of the parallel line asp
Answers
Answer:
y = 7x - 12
Step-by-step explanation:
Parallel lines have same slope.
y = mx + b
m - > slope & b -> y-intercept
y = 7x
So, slope = 7 & (2 , 2)
y - y1 = m(x -x1)
y - 2 = 7(x - 2)
y - 2 = 7x - 14
y = 7x - 14 + 2
y = 7x - 12
Can someone answer theese 3 questions
Answers
Answer:
Which three questions?
Step-by-step explanation:
I've answered this first question, I guess I need two more...
Is the given number a solution of the equation? Which value of d is a solution to the equation 13 – d = 8? 7 5 4 2
Answers
Answer:
d = 5 is a solution to the equation 13 - d = 8
Step-by-step explanation:
We have to solve 13 - d = 8
Now,
13 - d = 8,
We add d on both sides,
13 - d + d = 8 + d
13 = 8 + d
we subtract 8 from both sides,
13 - 8 = 8 - 8 + d
5 = d
d = 5
Hence the answer is 5
Question:How many joules of gravitational potential energy are stored in an object that has a mass of 8.5 kilograms and is held 2 meters above the surface of earth?
Answers
Answer:
166.6 joules
Step-by-step explanation:
The formular for potential energy is Mgh
Mass is 8.5 kg
g = acceleration due to gravity (9.8)
height is 2 meters
= 8.5 × 9.8 × 2
= 166.6 joules
Hence the potential energy is 166.6 joules