Answer:
108 degrees
Hope this helps!!
Help pls the question on the screen shot
Vanessa bought a house for $268,500. she has a 30 year mortgage with a fixed rate of 6.25%. vanessa’s monthly payments are $1,595.85. how much was vanessa’s down payment?
Based on the calculation below, the amount of vanessa’s down payment is $9,314.45.
Calculation of down paymentFirst, we have to calculate the balance after deducting vanessa’s down payment using the formula for calculating the present value (PV) of an ordinary annuity as follows:
PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)
Where;
PV = Present value or balance after deducting vanessa’s down payment = ?
P = Monthly payment = $1,595.85
r = Monthly interest rate = 6.25% / 12 = 0.0625 / 12 = 0.00520833333333333
n = number of months = 30 * 12 = 360
Substitute the values into equation (1), we have:
PV = $1,595.85 * ((1 - (1 / (1 + 0.00520833333333333))^360) / 0.00520833333333333) = $259,185.55
Now, the amount of vanessa’s down payment can be calculated as follows:
Vanessa’s down payment = Cost of the house – PV = $268,500 - $259,185.55 = $9,314.45
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helppppppppppppppp 98 points
Answer:
18 square units
Step-by-step explanation:
The top line has 5 shaded squares
The next line has 5 shaded squares
The third line from the top has 2 squares
The fourth line from the top has 2 squares
The fifth line from the top has 2 squares
The sixth line from the top has 2 squares
Add them together
5+5+2+2+2+2 = 18
18 square units
Charlotte recorded the number of minutes she spent exercising in the past ten days: 8, 10, 5, 2, 7, 1, 11, 3, 5, 6. Find the median of the data.
Work out the perimeter of a quarter circle that has the diameter of 7cm
Answer:
Perimeter = 12.5 cm
Step-by-step explanation:
Perimeter of quarter cirlce:d = 7 cm
[tex]\sf \boxed{\text{Circumference of quarter circle =$\dfrac{1}{4} \pi d$}}[/tex]
[tex]\sf = \dfrac{1}{4}*\dfrac{22}{7}*7\\\\ =\dfrac{11}{2}\\\\ = 5.5 \ cm[/tex]
Perimeter = radius + radius + circumference of quarter circle
= diameter + circumference of the quarter circle.
= 7 + 5.5
= 12.5 cm
Answer:
24.997
Step-by-step explanation:
its actually really hard for me to explain im sorry i only know the answer-
Could someone help me change it into a mixed number?
4 1/3 x 6
Answer:
I think your answer should be 26
Step-by-step explanation:
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
13/3 ×6/1
Applying the fractions formula for multiplication,
13/3 x 6/1
=78/3
Simplifying 78/3, the answer is
=26
I'm not positive but this is how I solved the problem:
29. One side of square ABCD has a length of 12 meters. A
certain rectangle whose area is equal to the area of
ABCD has a width of 8 meters. What is the length, in
meters, of the rectangle?
A. 12
B. 16
C. 18
D. 20
E. 24
Answer:
C. 18
Step-by-step explanation:
[tex]S_{ABCD}=12^2=144[/tex] [tex]m^2[/tex]let the length is [tex]x[/tex] [tex]m[/tex]
So: [tex]8x=144[/tex]
[tex]So:x=18[/tex]
The length of the rectangle with an equal area to the square is 18 m. The correct option is C.
What is a rectangle?A rectangle is a quadrilateral having four sides and the sum of the angles is 180 in the rectangle the opposite two sides are equal and parallel and the two sides are at 90-degree angles.
The square is defined as a quadrilateral having all the sides to be equal and all the angles to be congruent.
Given that one side of square ABCD has a length of 12 meters. A certain rectangle whose area is equal to the area of ABCD has a width of 8 meters.
The area of the square is,
Area = 12² = 144 square meters
The length of the rectangle is calculated as,
Area = 8x
144 = 8x
x= 144 / 8
x = 18 meters
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Find the amount of money a woman owes at the end of 3 years if 5% interest is compounded continuously on her $2500 debt
Answer:
$ 2904.59
Step-by-step explanation:
For CONTINUOUS compounding FV = PV e^it
FV = future value PV = present value i = decimal interest t = years
FV = 2500 e^(.05 * 3) = 2904.59
2x - 6 - 4x + 12 = 18 help
Answer:
Solve for X
Step-by-step explanation:
X = 6
Answer:
If you're trying to find x, it is [tex]\sf -6[/tex]
Divide each side by factors that do not contain the variable.
Which expression is equivalent to
(x^6y^8)^3/ x^2y^2
Answer:
(x ^ 16y ^ 22)
Step-by-step explanation:
For this case we have the following expression:
(x ^ 6y ^ 8) ^ 3 / x ^ 2y ^ 2
Rewriting and for power properties we have:
(x ^ 18y ^ 24) / x ^ 2y ^ 2
(x ^ (18-2) y ^ (24-2))
(x ^ 16y ^ 22)
What is a volume of a rectangular pyramid with a height of 15 cm, length of 10 cm and width of 11 cm
Answer:
Right rectangular pyramid
Solve for volume
V=550cm³
Base length
10cm
w Base width
11cm
Pyramid height
15cm
Step-by-step explanation:
Hope it helps.
Carrie borrowed money from her sister Melissa. She has been paying her back $80 a month for the past 5 months. If this is 32% of the money that she borrowed, how much money did she borrow?
The money which is borrowed by Carrie to her sister Melissa which she has been paying her back $80 a month is $1250.
What is percentage of a number?Percentage of a number is the part of the whole number which is expressed in the fraction of hundredth. It is represented with "%" symbol.
Carrie borrowed money from her sister, whose name is Melissa. She has been paying her back $80 a month for the past 5 months. Thus, the total amount she has returned is,
x=$80×5
x=$400
Now, the $400 is 32% of the money that she borrowed. Thus, the amount of money which she borrowed is,
[tex]\text{Money}=\dfrac{400}{32}\times100\\\text{Money}=1250[/tex]
Thus, the money which is borrowed by Carrie to her sister Melissa which she has been paying her back $80 a month is $1250.
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A group of friends were working on a student film. They spent $481 on costumes, which was 37% of their total budget. What was the total budget for their student film?
The total budget for the student film was $1300 and $481 was spent on costumes
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let x represent the total budget for the student film.
The student spent $481 on costumes, which was 37% of their total budget, hence:
37% of x = 481
0.37x = 481
x = $1300
The total budget for the student film was $1300 and $481 was spent on costumes
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Hey guys! Sorry to bother you but I’m completely stuck. Does someone think they can like attach a photo or show their work on this or something? This is 5th grade math so it shouldn’t be too hard. Offering quite a bit of points! :D
[tex]2.ans \: 3 \: \div \frac{1}{8} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 3 \: \div 0.125 \\ \\ = 0.041[/tex]
[tex]3.ans \: 5 \: \div \frac{1}{3} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 5 \: \div 0.33 \\ \\ \: \: \: \: \: \: \: \: \: 15.15[/tex]
Hope it helpsABCD is a rhombus. The coordinates of A are (5, 11) The equation of the diagonal DB is y = 3x + 5 The equation of the diagonal AC can be written in the form y = mx + Ċ where m and c are integers. Work out the value of m and the value of c.
Applying the definition of the diagonals of a rhombus, the value of m is -3, and the value of c is 26.
What are the Diagonals of a Rhombus?The diagonals of a rhombus are perpendicular to each other and therefore have slopes that are negative reciprocals.
Equation of diagonal DB is, y = 1/3x + 5.
Slope (m) of DB is 1/3.
Therefore, the slope (m) of diagonal AC would be, -3.
To find the equation of diagonal AC, substitute m = -3 and (5, 11) = (a, b) into y - b = m(x - a)
y - 11 = -3(x - 5)
y - 11 = -3x + 15
y = -3x + 15 + 11
y = -3x + 26
m = -3; c = 26
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Find the probability of drawing a heart from a standard deck of cards and then drawing a 5 of any suit after the first card is replaced in the deck.
The probability of drawing a heart from a standard deck of cards and then drawing a 5 of any suit after the first card is replaced in the deck is 0.01923.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
The probability of drawing a heart from a standard deck of cards and then drawing a 5 of any suit after the first card is replaced in the deck will be,
Probability = (13/52) × (4/52) = 0.01923
Hence, The probability of drawing a heart from a standard deck of cards and then drawing a 5 of any suit after the first card is replaced in the deck is 0.01923.
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if you cant see let me know.
Answer:
Photo is blurred not be able to seee
Which equation is the axis of symmetry of a quadratic function in standard form?
[tex] x = \frac{b}{2a} [/tex]
for example let's say we have 2x²+4x+3
Step-by-step explanation:
4 is the co-efficient of x therefore you substitute 4 in terms of b. 2 is the co-efficient of x² therefore you substitute 2 in terms of a.
[tex] x = \frac{4}{2(2)} [/tex]you will find your x value then you will substitute x from the original formula to get your y value.
find the length of each side of an equilateral triangle if the height is 10 in.
Answer:
20√3/3 or approx. 11.55 in.
Step-by-step explanation:
Draw an equilateral triangle with one height to one side.
The height divides the triangle into two congruent right triangles.
At the vertex where the height is, each angle of the small triangles is 30 deg.
The other acute angle of the right triangle measures 60 degrees.
The two right triangles are 30-60-90 right triangles.
The ratio of the lengths of the sides of a 30-60-90 right triangle is
1 : √3 : 2
The height is opposite the 60-deg angle, so it corresponds to the side with length √3 in the ratio.
The long leg measures 10.
The short leg measures 10/√3 = 10√3/3
The hypotenuse measures 20√3/3
The side of the equilateral triangle is the hypotenuse of each small right triangle.
Answer: 20√3/3 or approx. 11.55 in.
Check your Understanding Direction: A. Solve each problem. The letter with the correct answer will identify the material blasted into the air by an eruption. It includes solid lava and volcanic bombs T A 3 375 cm³ 7 cm 3240 cm³ 8cm P- The volume of a cube is 343 cm³. What is the length of the edge? H - A sewing box is 18 cm by 15 m by 12 cm. What is the volume? E - A cubical - shaped box has an edge of 15 cm. Find its volume. R - A rectangular box has a volume of 864 cm³.If the length is 12 cm and the width is 9 cm, how long is the box?
According to the results of each operation, it can be inferred that the word that is formed with the initial of each problem is TEPHRA.
How to calculate the area of a rectangular prism?To calculate the area of a rectangular prism we must use the following formula:
V = area of the base of the prism × height of the prismWe can use this formula to solve several of the problems posed as shown below:
problem E
Volume = (15cm × 15cm) × 15cm
Volume = 225 × 15cm
Volume = 3,375 cm³
Problem H
Volume = (15cm × 18cm) × 12cm
Volume = 270 × 12cm
Volume = 3,240 cm³
Problem P
Volume = (7cm × 7cm) × 7cm
Volume = 49 × 7cm
Volume = 343 cm³
Problem R
Volume = (9cm × 12cm) × 8cm
Volume = 108 × 8cm
Volume = 864 cm³
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8.000+900+70+6 9.000+900+90+6 2.000+60+4 10.000+5.000+200+1 10.000+700+60+3 10.000+3.000+400+7 10.000+2.000+800+20+5 10.000+4.000+400+50+4 10.000+1.000+300+10+1
Answer:
8976 9996 2064 15201 10763 13407 12825 14454 11311
PLSS HELP I’LL MARK BRAINLYESS OR WTV ITS CALLED
Answer: 4,5,6,7
Step-by-step explanation:
y=-2/2+5 y=0/2+5 y=2/2+5 y=4/2+5
y=-1+5 y=0+5 y=1+5 y=2+5
y=4 y=5 y=6 y=7
(-2,4) (0,5) (2,6) (4,7)
Please help with these question
Martin tracked the amount of water he drank for an entire week. The bar graph shown here displays the information about his water consumption.
What is the mode of the daily data?
A) 8
B) 10
C) 12
D) 14
Answer:
c) 12
Step-by-step explanation:
since on the bar graph 12 occurs the most that is the mode so hope this helps!
Given s = 10 and h = 15. Find the total surface area of the square prism.
Answer:
150
Step-by-step explanation:
h = hight
s = sides
surface = 10 x 15
surface = 150
(V = 10 x 10 x 15
(V = 100 x 15)
(V = 1500)
(Base area = B)
(B = Lenght x Width)
(B = 10 x 10)
(B = 100)
Which linear equation best represents the line of best fit for the scatterplot?
y = − 1/3x
y= 3x
y=−3x
y = 1/3x
Answer:
[tex]y = -\frac{1}{3}x[/tex]
Step-by-step explanation:
The scatter plot trends downward from left-> right, meaning that it is negative. Next, use two points to solve for the value for the slope.
In this case, I will use (-3 , 1) & (0 , 0)
Use the following equation. m = slope:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
[tex](x_1 , y_1) = (0 , 0)\\(x_2 , y_2) = (-3 , 1)[/tex]
Plug in the corresponding numbers to the corresponding variables:
[tex]m = \frac{1 - 0}{-3 - 0} = \frac{1}{-3} = -\frac{1}{3}[/tex]
Your answer will be:
[tex]y = -\frac{1}{3}x[/tex]
An object moves in simple harmonic motion with period 8 seconds and amplitude 6 cm. At time t = 0 seconds, its displacement d from rest is -6 cm,
and initially it moves in a positive direction.
Give the equation modeling the displacement d as a function of time t.
d = 0
昌 石
UT
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In the equation model, the simple harmonic motion is d=6sin(πt/4)-6 if the object moves in simple harmonic motion with a period of 8 seconds and amplitude of 6 cm.
What is simple harmonic motion?Simple Harmonic Motion is described as a motion in which the restoring force is proportionate to the body's displacement from its mean position.
We have:
Amplitude A = 6 cm
Time period = 8 seconds
T = 2π/w
8 = 2π/w
w = π/4
Its displacement d from rest is -6 cm, and initially, it moves in a positive direction.
d(0) = -6 cm at t = 0
The equation becomes:
[tex]\rm d = 6sin(\dfrac{\pi}{4}t)-6[/tex]
Thus, in the equation model, the simple harmonic motion is d=6sin(πt/4)-6 if the object moves in simple harmonic motion with a period of 8 seconds and amplitude of 6 cm.
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Pls solve question 8c, i will mark branliest
Answer:
a = -1
Step-by-step explanation:
first you make the x 0 and the y 0
0 = (0 - 1)^2 + a
0 = (-1)^2 + a
then you deal with the exponent
0 = 1 + a
lastly you subtract everything by 1
-1 = a
a = -1
that is your answer
Evaluate:
i. [ 81 x (-16)] + [ 6x 81]
ii. 325 x 5 x 2 - 624 x 10
Please help me quick
PLEASE HELP ASAP
Tina conducted a survey to find the favorite weekend activity of the people in her state. She asked 10 of her neighbors what their favorite weekend activity is. Tina concludes that boating is the favorite weekend activity of the people in her state because 70% of her neighbors like to go boating on weekends.
Use at least two sentences to explain why Tina's sample may not be valid. Make sure to use facts to support your answer.