Answers
a) The down payment of $60,000 is 30% for a studio apartment of $200,000 purchase price
b) The down payment of $90,000 is 45% for a studio apartment of $200,000 purchase price.
Given,
The purchase price for the studio apartment = $200,000
The down payment they paid = $60,000
a) We have to find the percentage of down payment to purchase price.
Here,
Percentage = (down payment x 100) / purchase price
= (60,000 x 100) / 200,000
= 60/2
= 30
That is,
The down payment of $60,000 is 30% for a studio apartment of $200,000 purchase price.
b) We have to find the percentage to purchase price if the down payment is $90,000
Here,
Percentage = (down payment x 100) / purchase price
= (90,000 x 100) / 200,000
= 90/2
= 45
That is,
The down payment of $90,000 is 45% for a studio apartment of $200,000 purchase price.
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Related Questions
The diagram shows a triangle. 35° 2w 3w What is the value of w?
Answers
Applying the triangle sum theorem, the value of w in the triangle is calculated as: w = 29.
What is the Triangle Sum Theorem?The triangle sum theorem states that if we add up all the three interior angles of any given triangle, we will have a sum of 180 degrees.
This means that, irrespective of whatever triangle that is given, the sum of all the interior angles of such triangle will be equal to 180 degrees.
The diagram attached below shows the following interior angle measures of a triangle: 35°, 2w, and 3w.
To find the value of w in the triangle given, we have to create an equation using the triangle sum theorem that will enable us solve for the value of w.
Thus:
35 + 2w + 3w = 180° [according to the triangle sum theorem]
Combine like terms
35 + 5w = 180
Subtract both sides by 35
35 + 5w - 35 = 180 - 35 [subtraction property of equality]
5w = 145
Divide both sides by 5
5w/5 = 145/5 [division property of equality]
w = 29
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Calculate the value of a in the triangle below.
15 cm
12 cm
a cm
Answers
Answer:
a = 11cm
Step-by-step explanation:
We can use the Pythagorean theorem to find the value of a.
Let us solve it now.
[tex] \sf {a}^{2} + {12}^{2} = {15}^{2} [/tex]
Now solve for a and and find the length of the side.
[tex] \sf {a}^{2} + 144 = 225 \\ \sf {a}^{2} = 225 - 144 \\ \sf{a}^{2} = 121 \\ \sf \: a = \sqrt{121} \\ \sf \: a = 11[/tex]
What is the slope of the line shown below?
(-1,-4)
(2, 2)
Answers
Answer:
2
Step-by-step explanation:
To find the slope, you need to use the term y2-y1/x2-x1
To do this, first do:
-4-2:
-6
Now, do -1-2=
-3
Now, since -6/-3 has two negatives, the fraction will turn into
6/3
Now simplify
2.
The slope of the line is two.
The equation is y = 2x - 2
What can be subtracted from 1/2 to equal 1/5
Answers
Explanation:
1/2 = 5/10
1/5 = 2/10
5/10 - 2/10 = 3/10
THEREFORE
5/10 - 3/10 = 2/10
THEREFORE
1/2 - 3/10 = 1/5
Help pls............................
Answers
Answer:
the 2nd, 3rd, 5th
i hope this helps :)
What is 5 & 2/5 as a mixed fraction Halp brainlest to correct answer
Answers
Answer: 27/5.
Step-by-step explanation: 5 and 2/5 is already a mixed fraction, so I think you mean a improper fraction. If not, then its 5 and 2.5. Hope this helps.
a circle has an initial radius of 50 ft when the radius begins decreasing at a rate of 2 ft/min. what is the rate of change of the area at the instant the radius is 10 ft?
Answers
The rate of change of the area at the instant the radius is 10 ft is 376.99 ft² / min.
The rate of change describes how one quantity changes in relation to the change in another quantity.
If a circle has an initial radius of 50 ft and decreases at a rate of 2 ft/min, then the time it took the radius to become 10 ft is 20 min.
r = r₀ - (rate)(time)
10 ft = 50 ft - (2 ft/min)(time)
(2 ft/min)(time) = 40 ft
time = 20 min
Solve the rate of change in area by dividing the change in area after time = 20 min.
rate of change = change in area / change in time
rate of change = A(r = 50) - A(r = 10) / 20 min
rate of change = π(50² - 10²) / 20 mins
rate of change = 376.99 ft² / min
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If a point divides a line segment into two congruent
line segments, then the point is a midpoint. Point P
divides LH into two congruent line segments.
use the law of detachment to determine what you can conclude from the given information, if possible.
help
Answers
Answer: Point P is a midpoint
Step-by-step explanation:
Examine the table and determine the rate of change.
X
1
2
3
4
Y
-4
-1
2
5
What is the rate of change?
O-4
O-3
O 1
03
Answers
It is the average amount by which the function changed per unit throughout that time period. The average rate of change of a linear function exists 9/3.
What is meant by average rate of change?It exists the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.
The average rate at which one quantity changes in relation to another's change exists directed to as the average rate of change function. A method that defines the amount of change in one item divided by the corresponding amount of change in another is known as an average rate of change function.
The average rate of change of a linear function (the slope) exists constant. The rate of change of the linear relationship = change in y / change in x
The rate of change from x = 1 to x = 4
= (5 - -4) / (4 - 1) = 9 / 3
Therefore, the average rate of change of a linear function exists 9/3.
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Use a table and graph to show when her investment will be worth 10,000$
Answers
Solution
I think the interest is compounded yearly, if so
First, convert R as a percent to r as a decimal
r = R/100
r = 6.25/100
r = 0.0625 per year
A = 10000
P = 5000
[tex]A=P(1+\frac{r}{n})^{nt}[/tex][tex]\begin{gathered} 10000=5000(1+6.25)^t \\ \frac{10000}{5000}=(1+0.0625)^t \\ 2=(1.0625)^t \\ \ln 2=\ln (1.0625)^t \\ t=11.5 \end{gathered}[/tex]Use logarithms or a scientific calculator
t = 11.5
In 11.5 years $5000 investment be worth of $10000
>>>>>>>>>>>>>
In case the interest is simple interest
Interest = Amount - Principal = $10000-$5000 = $5000
Time = 100*Interest / (Principal*Rate
= 100*5000 / (5000*6.25)
t = 16 years
In 16 years $5000 investment be worth of $10000
A print shop a $10 flat fee for each print and then $0.25 for each page printed. Which of the following tables shows relationship between the number of pages and cost of order?
Answers
The equation to represent the number of pages is: 0.25x = 10.
What is equation?
In mathematics, the statement based problems can be solved by forming the equation. And it consists of dependent variable as well as independent variable.
According to the question, the given parameters to form the equation are as follows:
The cost of each print is: $10
The cost of each page printed: $0.25
Now, let us assume number of printed pages are: 'x'
Therefore, the equation which shows the relationship between the number of pages and the cost of order is: 0.25x = 10
Hence, the equation to represent the number of pages is: 0.25x = 10
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Find the slope of the line graphed below.
Answers
Answer:
3/4
Step-by-step explanation:
up 3 right 4
If I throw a ball with an Initial velocity Vi=10 m/s with an angle Theta of 60 degrees above the Horizontal axis x, then the velocity Vx and Vy are
A. Vx= 5 m/s Vy=5 m/s
B. Vx= 8.66 m/s Vy=5 m/s
C. Vx= 5 m/s Vy=8.66 m/s
D. Vx= 6 m/s Vy=8 m/s
Answers
If I throw a ball with an Initial velocity Vi=10 m/s with an angle Theta of 60 degrees above the Horizontal axis x, then the velocity Vx and Vy are; C. Vx= 5 m/s Vy=8.66 m/s
What are the vertical and horizontal components of the velocity?
The formula to find the velocity of an object thrown at an angle is;
Horizontal velocity component; Vx = v_i*cosθ
Vertical velocity component; Vy = v_i*sinθ
where;
v_i is initial velocity
θ is angle at which object is thrown.
Now, we are given that;
Initial velocity; v_i = 10 m/s
Angle of throw; θ = 60°
Thus;
V_x = 10 * cos 60
V_x = 10 * 0.5
V_x = 5 m/s
V_y = 10 * sin 60
V_y = 10 * 0.8660
V_y = 8.66 m/s
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Marvin has 10 baskets of fruit he feels each basket with the same number of apples there are fewer than 11 apples in each basket how many apples could marvin have
Answers
I would think this would be 100 apples
Marvin had 100 apples since he had 10 apples in each basket.
Explain about the expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
The following elements can be used to identify algebraic expressions: a variable or a group of variables. For example, the algebraic expression 4x contains the variable x, while 3xy+4 contains the variables x and y.
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radium-221 has a half-life of 30 sec. how long will it take for 86% of a sample to decay? (round your answer to the nearest whole number.)
Answers
If radium-221 has half life of 30 seconds. To decay 86% of the the sample, it will take 85.09 seconds
The half life of the radium-221 = 30 seconds
To decay 86% of the sample
The equation of the half life N = [tex]N_0(\frac{1}{2} )^\frac{t}{t_1}[/tex]
Where N is the quantity of substance remaining
[tex]N_0[/tex] is the initial quantity of substance
t is the time elapsed
[tex]t_1[/tex] is the half life of the substance
Substitute the values in the equation
0.14[tex]N_0[/tex] = [tex]N_0(\frac{1}{2} )^\frac{t}{30}[/tex]
Cancel the [tex]N_0[/tex] from each side
0.14 = [tex](\frac{t}{30} )^\frac{t}{30}[/tex]
[tex]2^\frac{t}{30}=\frac{1}{0.14}\\ \frac{t}{30}=log_2\frac{1}{0.14}\\ t = 30log_2\frac{1}{0.14}[/tex]
t = 85.09 seconds
Hence, if radium-221 has half life of 30 seconds. To decay 86% of the the sample, it will take 85.09 seconds
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Sadie is ordering a taxi from an online taxi service. She has to pay a flat charge just to order the taxi, and then has to pay per mile, depending on how far she travels. She wrote an equation to represent her total cost, y=1.9x+3y=1.9x+3, where yy represents the total cost in dollars and cents, and xx represents the number of miles she travels. What could the number 1.9 represent in the equation?
A: the initial change in time
B: how far sarah can ride for $1
C: How much the taxi cost per mile
D: the total charge for one mile
Answers
The number 1.9 represent in the equation means C. How much the taxi cost per mile
What is an equation?A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario
In this case, the equation to represent her total cost is y = 1.9x+3. In this case, the x represents the number of miles. Therefore, 1.9 represent the cost for each miles that travelled.
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a biased coin lands heads with probability 2/3. the coin is tossed three times. a) given that there was at least one head in the three tosses, what is the probability that there were at least two heads? b) use your answer in a) to find the probability that there was exactly one head, given that there was at least one head in the three tosses.
Answers
The probability that one head in the three tosses, at least two heads is 0.7692, and the probability that exactly one head, at least one head in the three tosses is 0.2308.
What is a toss?
Probability indicates the likelihood of an event.That whenever a coin is tossed, there are only two possible outcomes. Head and Tail are those. In light of the probability formula above, the coin toss probability calculation is as follows:Formula for Probability of a Coin Toss: (Number of Successful Outcomes) (Total occurances of possible outcomes)
It's a binomial distribution with n=3, P=2/3
(a) P(one head in the three tosses, at least two heads)
P(x≥2 | x≥1)=[P(x≥2)∩P(x≥1)]/P(x≥1)
=0.7407/0.9630
=0.7692
(b) P(exactly one head, at least one head in the three tosses)
P(x=1 | x≥1)=[P(x=1∩ (x≥1)]/P(x≥1)
=0.222/0/9630
=0.2308
The probability that one head in the three tosses, at least two heads is 0.7692, and the probability that exactly one head, at least one head in the three tosses is 0.2308.
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Type the correct answer in each box.If , then a = , b = , c = , and d =
Answers
Consider the following matrix equation:
Applying the additive property, this is equation is equivalent to:
[tex]\begin{bmatrix}{a-2} & {b+5} & {} & {} \\ {c\text{ -10}} & {d\text{ +6}} & {} & {} \\ {} & {} & {} & {} \\ {} & {} & {} & {}\end{bmatrix}=\text{ }\begin{bmatrix}{4} & {8} & {} & {} \\ \text{ -}{1} & {0} & {} & {} \\ {} & {} & {} & {} \\ {} & {} & {} & {}\end{bmatrix}[/tex]This is equivalent to the following linear system of equations:
Equation 1:
[tex]a\text{ - 2 = 4}[/tex]Equation 2:
[tex]b+5=8[/tex]Equation 3:
[tex]c\text{ -10= -1}[/tex]Equation 4:
[tex]d\text{ +6=0}[/tex]From equation 1, we get:
[tex]a\text{ = 4+2=6}[/tex]From equation 2, we get:
[tex]b=8\text{ - 5 = 3}[/tex]From equation 3, we get:
[tex]c\text{ = -1+10 = 9}[/tex]From equation 4, we get:
[tex]d\text{ = -6}[/tex]we can conclude that the correct answer is:
Answer:[tex]a\text{ = 6}[/tex][tex]b=\text{ 3}[/tex][tex]c\text{ = 9}[/tex]and
[tex]d\text{ = -6}[/tex]at a certain pizzeria, 1 8 of the pizzas sold in one week were mushroom and 1 3 of the remaining pizzas sold were pepperoni. if n of the pizzas sold were pepperoni, how many were mushroom?
Answers
The pizzas sold were (n + 5).
What is the meaning of sold?Past tense and past participle of sales. It is marketed with uncritically related or enthusiastic slang.Sold, for sale. Transfer (goods) to another person or provide (services) for money to another person. Sold to Buyer: He sold me the car for his $1000.If the last sale of the car took place during the talk time or is active, then the statement "This car has been sold 10 times" is correct.But if the last sale of that car happened before the time to speak "Goods Sold" are available. This is passive-past perfect tense means to convince someone that something is good, worthy or useful. Consider the following example:A filmmaker gave me the idea that my book would work on screen.To learn more about sold from the given link :
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Find the approximate side length of a square game board with an area of 174 in2.
Answers
Answer:
43.5(Maybe)
Step-by-step explanation:
All I did was divide it by 4 but im not sure what the 2 means
Area of square (let's labelled as x) is calculated by the formula : a^2, where a is the side.
Therefore, to calculate the side, we use the formula : a = [tex]\sqrt{x}[/tex]
Applying it : a = [tex]\sqrt{174}[/tex] = approx. 13.191 in (3 d.p)
can you please answer the question
Answers
Answer: maybe 1 ♀️
Step-by-step explanation:
16 / 2 = 8
divide two (numerator) by the same number you divided 16 by.
2 / 2 = 1
1/8.
A baseball is thrown from a height of 5 feet. The height, h, of the ball at time t seconds is modeled by the equation h(t)=−16t2+100t+5. How long will it take the ball to reach the ground?
Select one:
a. 5.8 seconds.
b. 6.3 seconds.
c. 7.2 seconds.
d. 7.6 seconds.
please help:)
Answers
The ball takes 6.3 seconds to reach the ground when thrown upwards.
The height of the baseball thrown is 5 feet.
The function or equation for the height of the ball at a certain time t is given as:
h( t ) = - 16t² + 100t + 5
When the ball will reach the ground the height of the ball will be h = 0.
Therefore,
- 16t² + 100t + 5 = 0
Comparing the equation with general quadratic equation ax² + bx + c =0
We have, a = - 16, b = 100, and c = 5
Using the quadratic formula,
[tex]t=\frac{-b\pm \sqrt{b^{2} - 4ac } }{2a}[/tex]
[tex]t = \frac{-100\pm \sqrt{(100)^{2} - 4(-16)(5) } }{2(-16)}[/tex]
[tex]t=\frac{-100 \pm \sqrt{10000+320} }{-32}[/tex]
[tex]t = \frac{-100\pm \sqrt{10320} }{32} \\[/tex]
t = [ 25 ± √(645) ] / 8
When,
t = [ 25 + √(645) ] / 8 = 6.299 = 6.3 seconds
t = [ 25 - √(645) ] / 8 is false as the time cannot be negative.
The correct option is (b) 6.3 seconds.
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whats the G.C.F for 25 and 40 help me
Answers
Answer:
5
Step-by-step explanation:
G.C.F means greatest common factor
this means the highest number that will go into both 25 and 40
5 is the highest number that will divide into both
I only need 3 and 4 done Explain your reasoning and find the measures of the numbers
Answers
3) The measures of the numbers are ∠1 =∠3 = ∠4 = ∠6 = 139° and ∠2 = ∠5 = ∠7 = 41°
4) The measures of the numbers are ∠1 =∠3 = ∠5 = 117° and ∠2 = ∠4 = ∠6 =∠7 = 63°
3.) ∠2 = 41° ( By Vertical Angles Theorem, vertically opposite angles are congruent and equal.)
41° + ∠4 = 180°(Same Side Interior Angles Theorem, when a transversal connects two parallel lines, the interior angles on the same side are supplementary.)
∠4 = 180° - 41° = 139°
∠3 =∠4 = 139°(By the Alternate angle theorem, alternate interior angles are congruent.)
Similarly, ∠5 = 41°
∠1 =∠4 = 139°(By Corresponding Angles Postulate, corresponding angles are congruent in parallel lines are cut by a transversal.
∠4 =∠6 = 139° and ∠7 =∠5 = 41°(By Vertical Angles Theorem, as they both are pairs of vertically opposite angles)
4) ∠5 = 117° (By Vertical Angles Theorem, vertically opposite angles are congruent and equal.)
117° + ∠4 = 180° (By Same Side Interior Angles Theorem)
∠4 = 180°- 117° = 63°
∠2 = ∠4 = 63° (By Vertical Angles Theorem)
∠2 = ∠6 = 63° (By Corresponding Angles Postulate)
∠3 = 117° (By Corresponding Angles Postulate)
∠1 = ∠3 = 117° (By Vertical Angles Theorem)
∠6 = ∠7 = 63° (By Vertical Angles Theorem)
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I need help on this equations.
Answers
A. y = 1x +4
B. y = -2x +4
C. y = -6
D. x = 1
The scale of a map is 1 in.: 100 mi. Is the actual distance between two towns 100 times the map distance between the two towns? Explain.
Answers
The given statement is not true because the actual distance between two towns is greater than 100 times the map distance since 100 miles is more than 100 times as great as 1 inch.
What is the scale of the map?
We are given the scale of the map as;
1 inch : 100 miles
What this means is that 1 inch on the map represents an actual distance of 100 miles.
Now, from conversion values, we know that;
1 mile = 63360 inches
Now, the question is trying to suggest that the actual distance between two towns 100 times the map distance between the two towns
The given statement is not true because as seen from the conversion above, the actual distance between two towns is greater than 100 times the map distance since 100 miles is more than 100 times as great as 1 inch.
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1. (02.06 mc) a car travels 25.0 miles due east for one hour. then it travels another 60.0 miles east for an additional hour. what is the average velocity of the entire trip? (2 points) 17.5 mph east 35.0 mph east 42.5 mph east 85.0 mph east
Answers
The average velocity of the entire trip is 42.5 mph east
An object's average velocity is calculated by dividing its total displacement by its total travel time.
It measures how quickly an object shifts from one location to another.
It is a Vector magnitude
For one hour, an automobile travels 25.0 miles due east.
Then it continues for an extra hour and travels another 60.0 miles east.
We must determine his overall journey average speed.
He does the entire journey going straight east.
He travels a total distance of 25 + 60 = 85 miles east.
He takes an hour to get there from here and another hour to get there from there.
The total travel time is 1 + 1 = 2 hours.
Total displacement times total time equals the average velocity.
His average speed = 85 ÷ 2 = 42.5 miles/hour east
The average velocity of the entire trip is 42.5 mph east
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what will increase the width of a confidence interval? a) increase number in sample b) decrease confidence level. c) decrease variance d) increase variance.
Answers
The width of a confidence interval decreases as the sample size increases and increases as the confidence level increases.
What is a confidence interval?A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. A confidence interval is calculated at a certain confidence level; the 95% confidence level is the most commonly used, although other levels, such as 90% or 99%, are also employed.So, we know that smaller samples result in narrower intervals.
With a higher sample size, we can more precisely estimate a population proportion.Therefore, a confidence interval narrows as the sample size grows and widens as the level of confidence rises.
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What is the equation of the linear model shown? (Hint: Pick two points closest to
the line and complete it by hand. No need to use the calculator.)
Y= 0.8x +4
Y= 1.25x -0.5
Y=0.8x + 0.4
Y=-0.8x+20
Answers
We can visually see that the linear model will cross the Y-Axis at around 4-5. This is the y intercept, or the “b” part of the equation in y=mx+b that all linear models follow.
To check, we can simply input or approximate one of the values from the x axis. If we take 10, and input it into the linear model shown above, we get a value of 12, which is very close to what we see on the graph.
Additionally, the other y intercepts for the other choices are nowhere near our estimated y intercept, and so they can be crossed off by process of elimination.
Evan runs a website that has gotten popular. However, it's popularity is decreasing
and the site is now getting 7% fewer hits each week. If Evan's site got 34,000 hits
this week, how many hits can he expect 3 weeks from now? (Round to the nearest
whole number).
27,348
134,369
714,000
41,651
Answers
Answer:
27,348
Step-by-step explanation:
Answer: W h y d i d y o u
Step-by-step explanation:
