The price of a condominium is $102,000. The bank requires a 5% down payment and one payment and one point at the time of closing. The cost of the condominium is financed with a 30-year fixed-rate mortage at 8.5%? Find the required down payment.
Find the exact area of a circle having the given circumference. 8 pi
Answer: [tex]16\pi\ \text{ units}^2[/tex]
Step-by-step explanation:
We know that the circumference of a circle is given by :-
[tex]\text{Circumference}=2\pi r[/tex], where r is the radius of the circle.
Given : The circumference of a circle = [tex]8\pi[/tex]
Then , the circumference of a circle will be :-
[tex]8\pi=2\pi r\\\\\Rightarrow\ r=4\text{ units}[/tex]
Now, the area of circle is given by :-
[tex]A=\pi r^2\\\\\Rightarrow\ A=\pi(4)^2\\\\\Rightarrow\ A =16\pi\ \text{ units}^2[/tex]
The speed limit is posted in most areas, but, if not, the ___________ speed limit will be in effect.
When no specific speed limit is posted, the default speed limit applies. These defaults are set by local or state law and can vary. Drivers must adhere to these limits and drive safely for conditions.
Explanation:In most areas, when specific traffic speed limit signs are not posted, what's known as the default speed limit applies. These default speed limits are not posted on signs and instead are set by local or state law. It's important to stay aware of these limits in different areas, as they can vary. For instance, in many cities, the default speed limit is 25 mph unless otherwise posted. However, it should be noted that these default limits may not protect you from being pulled over if the police deem your speed unsafe for the current conditions. Thus, it's recommended to always drive at a speed that is appropriate for the conditions, even if you are technically within the speed limit.
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Emily sold 66 boxes of cookies for a fundraiser. If she sold 40% of the total boxes of cookies sold for the fundraiser, how many boxes of cookies were sold for the fundraiser total?
A medical testing laboratory saves money by combining blood samples for tests, so that only one test is conducted for several people. the combined sample tests positive if at least one person is infected. if the combined sample tests positive, then individual blood tests are performed. in a test for gonorrhea, blood samples from 30 randomly selected people are combined. find the probability that the combined sample tests positive with at least one of the 30 people infected. based on data from the centers for disease control, the probability of a randomly selected person having gonorrhea is 0.00114. round your answer to four decimal places.
Find an equation of the plane. the plane through the point (2, 0, 5) and perpendicular to the line x = 7t, y = 6 − t, z = 4 + 5t
t takes Dariya 35 seconds to download 5 songs from the Internet. How can the number of seconds it would take Dariya to download 7 songs at this rate be determined?
Answer:
The time it takes to download 7 songs is 49 seconds.
Step-by-step explanation:
It is about a division problem.
The first step is to determine how long it takes to download just one song. You must divide the total seconds by the total songs downloaded. The result would be the time required to download just one song.
[tex]\frac{35\, seconds}{5\, songs}=7\frac{seconds}{song}[/tex]
The previous value indicates that the download time is 7 seconds per song.
The second step is to determine how long it takes to download 7 songs. With the previous value in mind, you must multiply the time it takes to download one song by the 7 songs that Dariya wants to download, to obtain the total time it takes to download the 7 songs.
[tex]\frac{7\, seconds}{1\, song}\times 7\, songs=49\, seconds[/tex]
Thus, the time it takes to download 7 songs is 49 seconds.
enter a positive value for n that makes this statement true:1×n is less than 1 but greater than 0
N=0.5
1x0.5=0.5 which is less than 1 but greater than 0
The possible value of n is,
⇒ n = 1/2
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The statement is,
1×n is less than 1 but greater than 0
Now, We can write as;
⇒ 0 < 1 × n < 1
Simplify as;
⇒ 0 < n < 1
Thus, The possible value of n is,
⇒ n = 1/2
⇒ n = 0.5
Thus, The possible value of n is,
⇒ n = 1/2
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On Wednesday Rachel hid 1.50 in a box. On Thursday she added $18 to the box. On Friday she took half the money out the box. How much money remains in the box ?
Find the constant of proportionality k as a fraction in simplest form. Then enter an equation for the relationship between x and y.
x 12 24 36 48
y 2 4 6 8
The constant of proportionality, k =
The equation is y =
The calculated value of the constant of proportionality that relates the variable y, to x, is 1/6
How to determine the constant of proportionalityFrom the question, we have the following parameters that can be used in our computation:
x 12 24 36 48
y 2 4 6 8
The constant of proportionality (k) is calculated as
k = y/x
So, we have
k = 2/12
Evaluate
k = 1/6
Hence, the constant of proportionality is 1/6
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A pipe is 30 feet long. It needs to be cut into pieces that are each 2/3 feet long. How many pieces can be made from the pipe? Write the answer in simplest form.
To find the number of pieces, divide the length of the pipe by the length of each piece. The number of pieces that can be made is 45.
Explanation:To find the number of pieces that can be made from the pipe, we need to divide the length of the pipe by the length of each piece.
Length of each piece = 2/3 feet
Number of pieces = Length of pipe/Length of each piece = 30 feet / (2/3 feet)
Number of pieces = 30 * 3/2 = 45
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Calculate the rise and run and find the slope ( 4,1) and (3,1)
is 1.5 miles greater than 2500 yards
•• quilt squares are cut on the diagonal to form triangular quilt pieces the hypotenuse of the resulting triangle is 10 inches long what is the side length of each piece?
-5
-5√2
-5√3
-10√2
•• Find the length of the missing sides in the triangle a triangle is not Drawn to scale.
A pair of diamond earrings has been marked up 50% and is now selling for $198.00. How much were the earrings before the mark-up?
Final answer:
The original price of the diamond earrings before a 50% markup that led to a final selling price of $198.00 was $132.00.
Explanation:
The question asks us to find the original price of the diamond earrings before a 50% markup that resulted in a final selling price of $198.00. To solve this, we use the markup formula, which is Final Price = (Original Price) × (1 + Markup Percentage). Here, the Final Price is $198.00 and the Markup Percentage is 50%, or 0.50 when expressed as a decimal.
First, we rearrange our formula to solve for the Original Price:
Original Price = Final Price ÷ (1 + Markup Percentage). Plugging in the given values, we have: Original Price = $198.00 ÷ (1 + 0.50) = $198.00 ÷ 1.50.
Doing the computation: Original Price = $132.00. Therefore, the earrings were priced at $132.00 before the 50% markup.
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Liza is playing a game in which she earns 3 points for each correct response but loses 2 points for each incorrect response. She missed the first 3 questions. Right now she just hopes to break even. Which statement is true?
To break even, Liza must answer 3 questions correctly to cancel out the 3 she answered incorrectly.
To break even, Liza must answer 2 questions correctly to give her 6 points, because she now has –6 points and the result would be a score of 0.
To break even, Liza must answer 6 questions correctly to give her 6 points, because she now has –6 points and the result would be a score of 0.
To break even, Liza must answer 1 question correctly, because she needs 3 points to cancel out the 3 questions she answered incorrectly.
Which of the following statements about diversification is correct
Diversification means wide variety of different investment options available in the portfolio so that it becomes lesser risky towards minimizing losses in down market.
It provides better protection towards common issues like inflation, market instability, war effects, hike in exchange rates, interest rates reduction etc. So, we can conclude that :-
Diversification is the method to make investments less vulnerable to a catastrophic loss.
Hence, option A is best answer from given choices.
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Hana rented a car for a week for $200 plus $0.25 per mile. After driving for one week, she owed the rental company $362.50.
Which equation represents the amount she paid to the rental company, and how far did Hana drive during the week?
$200 + $0.25m = $362.50; m = 650 miles
$200 + $0.50m = $250; m = 140 miles
$200 - $0.25m = $725; m = 2,250 miles
$200 - $0.25m = $362.50; m = 1,450 miles
A girl stands 160 cm tall she stands 360 cm away from a lamp post at night her shadow from the light is 90 cm long how high is the lam post
Final answer:
To find the height of the lamppost given the girl's height, distance from the lamp post, and shadow length, set up a proportion to calculate the lamp post's height.
Explanation:
A girl stands 160 cm tall and stands 360 cm away from a lamp post at night. Her shadow from the light is 90 cm long. How high is the lamppost?
Set up a proportion: Lamp post height / Girl's height = Lamp post shadow length / Girl's shadow length.
Substitute the values: Lamp post height / 160 cm = 360 cm / 90 cm.
Solve for the lamp post height: Lamp post height = (360 cm * 160 cm) / 90 cm = 640 cm.
What is the side length of a square whose area is 1/64 square mile
Given is the square whose area is 1/64 squared miles, and it says to find the side of the square.
We know the formula for area of square is given by :-
Area of square = (side)²
[tex] (side)^{2} = \frac{1}{64} \\\\
side = \sqrt{\frac{1}{64}} \\\\
side = \frac{1}{8} = 0.125\; miles [/tex]
Hence, side of the square would be 1/8 miles or 0.125 miles.
Alexa knock down 70 bowling pins in 10 frames. in each frame, alexa nocked down the same number of pins. how many pins did Alexa knock down in each frame?
Julia has to measure an object.she does not have a ruler. Tell what Julia could do to solve her problem.
how do you solve 5y+26=4y-56?
PLZ HELP :,( Select all that apply. Which quadrilaterals always have four congruent sides? trapezoid rhombus parallelogram square
Answer:
square is the answer
Which statement about BQ←→ is correct?
BQ←→ is a tangent line because m∠ABQ=90°.
BQ←→ is a tangent line because △ABQ is not a right triangle.
BQ←→ is not a tangent line because ∠BAQ is an acute angle.
BQ←→ is not a tangent line because ∠BQA is an acute angle.
We have a circle A and a line segment BQ is passing through the circle A such that it forms a triangle ABQ.
From the diagram, we have some information about the angles of triangle ΔABQ as follows :-
angle QAB = 36 degrees and angle BAQ = 54 degrees.
We know about the Triangle Sum theorem which states "The sum of all interior angles of any triangle is 180 degrees".
We can use this theorem to find the third angle of the triangle ΔABQ.
∠ABQ + ∠BQA + ∠QAB = 180 degrees
∠ABQ + 54° + 36° = 180°
∠ABQ + 90° = 180°
∠ABQ = 180° - 90°
∠ABQ = 90 degrees
If any line makes a right angle with the radius of any circle, then this line must be a tangent to that circle.
So, BQ would be a tangent line because angle ∠ABQ = 90 degrees. Hence, option A is correct.
The graph of the function f(x) = ax2 + bx +c (where a, b, and c are real and nonzero) has two x-intercepts. Explain how to find the other x-intercept if one x-intercept is at (-b/a2 +3,0)
The method to find the other x-intercept for the function f(x) = ax² + bx + c is given in the explanation below the answer.
The other x-intercept is; ((-b/2a - 3), 0)
We are given the equation of the function;
f(x) = ax² + bx + c
where a, b and c are real numbers and non - zero
Now, this is a quadratic equation that has 2 roots and it means there will be two x-intercepts.
Also, in quadratic equations, the formula to find the x-coordinate of the line of symmetry of the graph is;
x = -b/2a
The line of symmetry divides the graph curve into 2 equal parts at the vertex. This means the two x - intercepts will be the same distance from the x-coordinate of the vertex or line of symmetry but on opposite sides.
Thus, if one x-intercept is at ((-b/2a + 3), 0), then the other coordinate using the line of symmetry reason above is; ((-b/2a - 3), 0)
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Eric jogged 3 1/4 miles on Monday, 5 5/8 miles on Tuesday, and 8 miles on wednesday. Supposed he continues the pattern fro the remainder of the week. How far will Eric jog on Friday
Answer:
20 miles 1/2
Step-by-step explanation:
I did the steps my teacher taught me
A circle has center O(−3, 1) and radius 10. Which of the following points is on the circle?
A. V(−3, −4)
B.X(5, −2)
C.Y(−6, 0)
D.Z(5, 7)
Simplify the expression fraction with numerator of the square root of negative twenty five and denominator of the quantity five minus two times i plus the quantity one minus three times i