Answers
Answer:
C
Step-by-step explanation:
x+8+2x+4=90
3x+12=90
3x=78
x=26
Related Questions
Kayla is financing $168,125 to purchase a house. She obtained a 25/8 balloon mortgage at 3.85%. What will her balloon payment be
Answers
Answer:
$130,626.56
Step-by-step explanation:
Kayla is financing $168,125 to purchase a house. She obtained a 25/8 balloon mortgage at 3.85%. What will her balloon payment be?
We are told that: She obtained a 25/8 balloon mortgage at 3.85%
This means the loan is amortized for 25 years and she would be monthly payment for 8 years before making the balloon payment.
Step 1
We find Monthly payments
Pmt = (A * i * (1 + i)ⁿ) / ((1 + i)ⁿ - 1)
Where:
Pmt - monthly payment;
A - Loan amount = $168,125
i - periodic interest rate = 3.85% = 0.0385
and
n - number of periods =
1 year = 12 months
8 years = x
x = 8 × 12 months = 96 months
n = 96 months
Pmt = (168,125 × 0.0385 * (1 + 0.0385)⁹⁶) / ((1 + 0.0385)⁹⁶- 1)
Pmt = $873.56
Step 2
When we find the monthly payment, we can compute the balance due after the term of a balloon loan.
B = (A * (1 + i)ⁿᵇ) - Pmt / i * ((1 + i)ⁿᵇ - 1)
Where:
B - Balloon payment
nb - Number of balloon loan periods =
Pmt - Monthly payment = $873.56
B = (168,125 × (1 + 0.0385)⁹⁶) - 873.56 / 0.0385 × ((1 + 0.0385)⁹⁶- 1)
B = $130,626.56
The building on Daughtery road are even numbered from 12-136. How many buildings have an address with at least one 4?
Answers
Answer:
Total 22 buildings have at least one 4 in their address
Step-by-step explanation:
Number between 12 to 136 are as given below -
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
Total numbers having at least 1 four are
14
24
34
40
41
42
43
44
45
46
47
48
49
54
64
74
84
94
104
114
124
134
Total 22 buildings have at least one 4 in their address
What is the value of 4/15 divided by 2/3
Answers
Answer:
2/5 or 0.4
Step-by-step explanation:
Answer:
2/5
Step-by-step explanation:
4/15 *3/2
12/30
6/15
2/5
Anything help plz
Mr. McGill is solving the following problem: 42x=163. Mr. McGill set 2x=3 and got x=32 as his answer. Tell the mistake Mr. McGill made and tell the correct answer.
Answers
Answer:
3.88
Step-by-step explanation:
Given that
42x = 163
It set 2x = 3
and x = 32
We need to tell the mistake and mentioned the correct answer
if we solve the above equation i.e.
42x = 163
x = 3.88
Hence, in this way it should be calculated
The same would be considered and relevant
Hence, the correct answer is 3.88
Steffie makes a scale drawing for a crate with a scale factor of 1 to 3 the dimensions of her scale drawing are 15 inches long by 12 inches wide. The builder creates a scale drawing of the crate with a scale factor of 1 to 9
Answers
Answer:
The length is 5 inches and the width is 4 inches
Step-by-step explanation:
Steffie makes a scale drawing for a crate with a scale factor of 1:3. The dimensions of her scale drawing are 15 inches long by 12 inches wide. The builder creates a scale drawing of the crate with a scale factor of 1:9. What are the dimensions of the builder's scale drawing? A. The length is 4 inches and the width is 5 inches B. The length is 45 inches and the width is 36 inches. C. The length is 5 inches and the width is 4 inches. D. The length is 36 inches and the width is 45 inches
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
dimensions of the image steffie scaled = (15 x 3) by (12 x 3) = 45 by 36
Builders scaled image = (45 / 9) by (36 /9) = 5 by 4
In the 8-sided figure below, adjacent sides meet at right angles and the lengths are given are in meters. What is the perimeter of the figure, in meters?
40
40
80
80
120
120
160
160
400
400
Answers
Answer:
80
Step-by-step explanation:
Look at the figure below. The perimeter is the same as if the corners were moved out to form a square. Then you have 4 congruent sides of length 20.
P = 4 * 20 = 80
The perimeter of a shape is the summation of the sides of the shape. The perimeter of the shape is 80 units.
From the attached figure, we have the following observations
All sides of the shape are either vertical or horizontal lineNone of the side lengths overlapsThis means that if the shape is drawn (see attachment) to have 4 sides, opposite sides of the shape will be congruent.
The first side length is:
[tex]Length = 20[/tex]
While the adjacent side length is:
[tex]Width = 12 + 8 =20[/tex]
The perimeter (P) of the shape is then calculated as follows:
[tex]P = 2 \times (Length + Width)[/tex]
[tex]P = 2 \times (20 + 20)[/tex]
[tex]P = 2 \times 40[/tex]
[tex]P = 80[/tex]
Hence, the perimeter of the shape is 80 units.
Read more about perimeters at:
https://brainly.com/question/6465134
What is the solution for x In the inequality -3x+4<16
Answers
Answer:
x > -4
Step-by-step explanation:
-3x + 4 < 16
-3x < 16 - 4
-3x < 12
-x < 4
x > -4
Answer:
x > -4
Step-by-step explanation:
-3x+4<16
Subtract 4 from each side
-3x+4-4<16-4
-3x < 12
Divide each side by -3, remembering to flip the inequality since we are dividing by a negative.
-3x/-3 > 12/-3
x > -4
Suppose that when your friend was born, your friends parents deposited $2000 in an account paying 5.9% interest. What will the account balance be after 15 years?
Answers
Answer:
FV= $4,725.74
Step-by-step explanation:
Giving the following information:
Initial investment (PV)= $2,000
Number of periods (n)= 15 years
Interest rate (i)= 5.9% = 0.059
To calculate the Future Value, we need to use the following formula:
FV= PV*(1 + i)^n
FV= 2,000*(1.059^15)
FV= $4,725.74
Geometric sequence
Answer options:
A) an=54(-3)n-1
B) an=-2(-3)n-1
C) an=25(-2)n-1
D) an=4(-5)n-1
Answers
Please help!!!
If data set A has a larger standard deviation than data set B, data set B is
more spread out thar data set A.
O A. True
O B. False
Answers
Answer:
the answer is B.FALSE
Step-by-step explanation:
hope it helps
I need help I’m kind of stuck on this question
Answers
Answer:
10ft^2
Step-by-step explanation:
16in/4in =4ft for the length
10in/4in= 2.5ft for the width
so 4ft x 2.5ft =10ft^2
so 10ft^2
Which equation represents a circle with a center point of (-2,3) that passes through the point (4, -3)?
PLEASE HELP ASAP IM GIVING BRAINLIEST
Answers
Answer:
[tex]A) (x+2)^{2} +(y-3)^{2} =72[/tex]
Step-by-step explanation:
[tex]Radius=\sqrt{(4+2)^{2}+(-3-3)^{2} }[/tex]
[tex]=\sqrt{6^{2} +6^{2} } =6\sqrt{2 }[/tex]
[tex]equation:[/tex]
[tex](x+2)^{2}+(y-3)^{2} =(6\sqrt{2}^{2})\\[/tex]
[tex](x+2)^{2}+(y-3)^{2} =72[/tex]
-----------------------------------
hope it helps...
have a great day!!
The equation represents a circle is option (A) (x+2)^2 +(y-3)^2 = 72 is the correct answer.
What is a circle?A circle is a collection of all points in a plane which are at a constant distance from a fixed point. A circle is a round-shaped figure that has no corners or edges.
For the given situation,
The center of the circle, (h,k) = (-2,3)
The point on the circle, (x,y) = (4,-3)
The radius of the circle is
[tex]r=\sqrt{(h-x)^{2} +(k-y)^{2} }[/tex]
⇒ [tex]r=\sqrt{(-2-4)^{2} +(3-(-3))^{2} }[/tex]
⇒ [tex]r=\sqrt{6^{2}+6^{2} }[/tex]
⇒ [tex]r=\sqrt{72}[/tex]
The formula of equation of circle is
[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]
The circle has the center (h,k) = (-2,3) and radius is √72,
⇒ [tex](x-(-2))^{2}+(y-3)^{2}=(\sqrt{72} )^{2}[/tex]
⇒ [tex](x+2)^{2}+(y-3)^{2}=72[/tex]
Hence we can conclude that the equation represents a circle is option (A) [tex](x+2)^{2}+(y-3)^{2}=72[/tex] is the correct answer.
Learn more about circles here
https://brainly.com/question/27421661
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A 26 foot ladder is set against the side of a house so that it reaches up 24 feet. If Mila
grabs the ladder at its base and pulls it 12 feet farther from the house, how far up the side of the house will the ladder reach now?
Answers
Answer:
13.9
Step-by-step explanation:
13.85 feet far up the side of the house will the ladder reach now.
Given that, a 26 feet ladder is set against the side of a house so that it reaches up 24 feet.
What is heights and distances in trigonometry?In mathematics, you can calculate the height of an object using the distance and angles. Here distance is the horizontal distance between the object and the angle is the angle above the horizontal of the top of the object, which gives the height of the object.
Let the distance between base of house to foot of the ladder be x.
Using Pythagoras theorem 26²=24²+x²
⇒ 676 = 576 + x²
⇒ x² = 100
⇒ x =10 feet
Mila grabs the ladder at its base and pulls it 12 feet farther from the house.
Now, the distance between base of house to foot of the ladder = x+12
= 10+12 = 22 feet.
So, up the side of the house the ladder reach = 24-h
Then, 26² = (24-h)²+22²
⇒ 676 = (24-h)²+484
⇒ (24-h)² = 192
⇒ (24-h) = √192
⇒ (24-h) = 13.85
⇒ h = 24-13.85
⇒ h = 10.15 feet
Therefore, 13.85 feet far up the side of the house will the ladder reach now.
To learn more about the heights and distance in trigonometry visit:
https://brainly.com/question/27917190.
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I WILL GIVE BRAINLIEST PLEASE HELP FULLY (pt 2)
2. Mauricio plans on retiring in 20 years, and he wants to double his money by that time. He has contacted various banks, looking for a CD that compounds interest monthly, and to calculate what annual interest rate he needs, he is using the rule of 72. (3 points: Part I – 1 point; Part II – 1 point; Part III – 1 point)
Part I: What is the rule of 72? To represent the annual interest rate, use r.
Part II: What equation can Mauricio set up to solve for the annual interest rate he needs to double his money by the time he retires?
Part III: What annual interest rate does Mauricio need to double his money by the time he retires?
Answers
Answer: What expression can Melanie write to figure out how much her ... Mauricio plans on retiring in 20 years, and he wants to double his money by that time. He has contacted various banks, looking for a CD that compounds interest monthly, and to calculate what annual interest rate he needs, he is using the rule of 72.
Step-by-step explanation: I did what I could man
HELP I NEED THIS RN ITS DUE IN LIKE 5 MINS A CARTON CAN HOLD 1,000 UNIT CUBES THAT MESURE 1 INCH BY 1 INCH DESCRIBE THE DIMENSIONS OF THE CARTON USING UNIT CUBES
Answers
Answer:
the dimensions would b 10 10 and 10
–6x − 8y = –14
y = –2
Answers
Answer:
x = 5
Step-by-step explanation:
If you input the y-value into the equation you get x = 5.
-6x-8(-2) = -14
-6x+16 = -14
-6x+16-16 = -14-16
-6x = -30
(-6x)/-6 = (-30)/-6
x = 5
Por la comra de un televisor en 130 000 se ha pagado 1/4 al contado y el resto en 6 cuotas en igual valor cada una.
Answers
Answer:
Por la compra de un televisor en $ 130000 se ha pagado →1/4 del total al contado → el restante en 6 cuotas de igual valor .
el valor de cada cuota =?
Step-by-step explanation:
Para resolver el ejercicio se procede a realizar la operación indicada de calcular el valor de cada una de las 6 cuotas de igual valor, de la siguiente manera :
1/4 * $130000 = $ 32500
$ 130000 - $ 32500 = 97500 $ 97500 /6 = $ 16250
El valor de cada una de las 6 cuotas restantes es de $ 16250 .
Given that x = 9.5 m and θ = 20°, work out AC rounded to 3 SF
Answers
Answer:
AC ≈ 10.1 m
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos20° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{9.5}{AC}[/tex] ( multiply both sides by 9.5 )
AC × cos20° = 9.5 ( divide both sides by cos20° )
AC = [tex]\frac{9.5}{cos20}[/tex] ≈ 10.1 m ( to 3 sf )
What is the highest degree of the graph shown above?
a 5
b 60 degrees
c 4
d Not enough information to answer the question
Answers
Explain: because the sticky note it’s covering it and there’s no numbers.
express 12.383838 in p/q form
Answers
Answer:
12383838 is the answer
1000000
Select all the expressions that are equivalent to 3x – 1.
7x + 2x – 6x – 1
2(2x – 1) – x + 1
3(x – 1) + 1
12(6x – 2)
6x – 12(4x + 2)
Answers
Answer:
first
2nd
_______________
What happens to the value represented by the digit 5
in 750
if 5
is moved one place to the right?
Answers
Answer:
The number will be 705.
Step-by-step explanation:
what do I do and how
Answers
Answer:
f(x) is another way of saying "y", but when x is replaced with a number, it just means that x = that number.
Since A says to find f(7), it means that in this scenario, x = 7. So, 2x - 5 is turned into 2(7) - 5, which equals 14 - 5, which equals 9.
So, f(7) = 9.
You can then apply this to the rest of the numbers you are given.
I hope this helps! :)
A spinner is 1/6 red, 1/12 blue, 1/2 yellow and 1/4 green, what is the probability of spinning red or yellow?
Answers
Answer:
2/24
Step-by-step explanation:
This is because there are chance of getting the other colors.
(X^2 - 8x + 12) / x- 6
Answers
Answer:
X2x−14+12x
Step-by-step explanation:
Graph
plz step by step
Answers
Answer:
Step-by-step explanation:
The equation shown in the question can be seen graphed in the image attached below. As you can see with the graphed equation the variable x can be any real number except for -1. This is because a -1 would cause the denominator of the fraction to be equal to 0, and a fraction with a denominator as 0 is a null value and does not exist.
I have a 3 yellow m&m's, 5 blue m&m's, and 4 red m&m's. What is the probability if I choose a red and do not not put it back and then choose a yellow?
Answers
Answer:
8.3% probability
Step-by-step explanation:
(3) YELLOW ⇒ [tex]\frac{3}{12}[/tex] ⇒ 25%
(5) BLUE ⇒ [tex]\frac{5}{12}[/tex] ⇒ 41.6%
(4) RED ⇒ [tex]\frac{4}{12}[/tex] ⇒ 33.3%
║(12) IN TOTAL
[tex]\frac{4}{12}[/tex] ⋅ [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{12}[/tex]
[tex]\frac{1}{12}[/tex] = 8.3%
PROBABILITY OF (1) RED, AND (1) YELLOW ⇒ 8.3% probability
Solve the equation for Y
Answers
Answer:
y = 2
Step-by-step explanation:
-2y + 1 = y-5
-2 - y = -5 - 1
-3y = -6
y = -6 ÷ -3
y = 2
Sawyer used $10.25 to buy a new journal. He has $39.75 left in his savings account. How much money did Sawyer have before he bought the journal
Answers
Answer:
Sawyer had $50 in his account before his purchase.
Step-by-step explanation:
$10.25 + $39.75 = $50
So he had $50 before he bought the journal
Hope this helps! good luck :)
What is the angle through which the pendulum oscillates between two maximum positions?
Answers
Answer:
does this help
Step-by-step explanation:
What is the maximum angle of a pendulum?
Paul Appell pointed out a physical interpretation of the imaginary period: if θ0 is the maximum angle of one pendulum and 180° − θ0 is the maximum angle of another, then the real period of each is the magnitude of the imaginary period of the other.
