Answer:
The rate is 6.43%
Step-by-step explanation:
Given
[tex]I = 450[/tex] --Interest
[tex]P = 5600[/tex] -- Principal
[tex]T= 15\ months[/tex] --Time
Required
Determine the rate
Using simple interest formula:
[tex]I = PRT[/tex]
Make R the subject
[tex]R = \frac{I}{PT}[/tex]
Convert time to years
[tex]T= 15\ months[/tex]
[tex]T =\frac{15}{12}\ years[/tex]
[tex]T =1.25\ years[/tex]
Substitute values for I, P and T
[tex]R = \frac{450}{5600*1.25}[/tex]
[tex]R = \frac{450}{7000}[/tex]
[tex]R = 0.0643[/tex]
Convert to percentage
[tex]R = 0.0643*100\%[/tex]
[tex]R = 6.43\%[/tex]
Р
D
Which of the statements describe the transformation on
the left? Check all that apply.
NOPQR-N'O'P'Q'R'
ONOPQR-→ NOPQR
O QRNOP → R'N'O'P'Q'
NOPQR maps to N'O'P'Q'R'
O QPONR maps to Q'P'O'N'R'
N
R
N
R
The statements which describe the transformation on the left are:
NOPQR → N'O'P'Q'RNOPQR maps to N'O'P'Q'R'QPONR maps to Q'P'O'N'R'What is a transformation?A transformation refers to the movement of a point from its original position to a new location. Hence, when an object is transformed, all of its points would also be transformed.
Based on the image of these geometric figures (see attachment), we can infer and logically deduce that the following statements describe the transformation on the left:
NOPQR → N'O'P'Q'RNOPQR maps to N'O'P'Q'R'QPONR maps to Q'P'O'N'R'Read more on transformation here: https://brainly.com/question/12040896
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Answer: a,b,d that´s the answer
Step-by-step explanation
A ladder 5 m long, leaning against a vertical wall makes
an angle of 65° with the ground. How far up the wall is
the top of the ladder?
Step-by-step explanation:
Given:length of ladder =5 m
Angle formed = 65°
Let h be the Height of the top of the ladder from the ground
Required:Height of the top of the ladder from the ground
Equation:SOH-CAH-TOA
Since the hypotenuse side is given and what we are to solve is the opposite side, use SOH
[tex]sinθ\:=\: \frac{opposite}{hypotenuse}[/tex]
[tex]sin(65°)\:=\: \frac{opposite}{5\: m}[/tex]
[tex]opposite\:=\:(5 \:m )\:sin(65°)[/tex]
[tex]opposite\:=\:4.53 \:m[/tex]
Final Answer:The height of the top of the ladder from the ground is 4.53 mPlease refer to the photo for the illustration
Based on the table, which function represents the same relationship? The x column has 0, 1, 2, 3. The y column has 0.0625, 0.25, 1, and 4.
Answer
A g(x) = (0.25)
B g(x) = 256(0.25)
C92) = 0.0625(4)"
D g(x) = 0.5(4)"
Answer: C 92) = 0.0625(4)
Step-by-step explanation:
it iz
Which is the percent for 1.67
Answer:
167%
i thank that is the anserr.
Step-by-step explanation:
which expression is equivalent to 15+8x+3+2x
Answer:
10x + 18
Step-by-step explanation:
First, we need to add like terms. Like terms are terms that are alike. For instance 8x and 2x are like terms. 15 and 3 are also like terms.
So, we have to add 8x plus 2x and 15 plus 3. That’s comes out to 10x plus 18.
Therefore, this expression is equivalent to 10x + 18.
What’s is 9 divided by 3/10
Answer:
30
Step-by-step explanation:
9/(3/10)=9*(10/3)=30
Nada is making square coasters with sides of 3 inches. On each coaster is a circular design. What is the radius of the largest circle that fits on one of the coasters?
Answer:
1.5
Step-by-step explanation:
diameter is half the length of the circle so if it is 1.5 the full length will be 3 inches which is the full length of the coaster
Ed spent 25% of his savings on lunch, which cost $5.25. How much did he have in savings before lunch?
Step-by-step explanation:
I think 21 dollars is the answer
3.2 - 5.1n - 3n + 5= n +8.2 can someone tell me what goes in the blank
Write a linear model for the amount of boxes, b, as a function of the number of hours since they opened, h. Use your model to predict the number of boxes in stock at the end of an 8 hour shift.
Question:
A company produces boxes of DVDs at a rate of 52 boxes per hour they begin to produce boxes when they first opened for the day and after 3 hours have 400 boxes in stock.
- How many boxes were in stock when they opened?
- Write a linear model for the amount of boxes, b, as a function of the number of hours since they opened, h.
- Use your model to predict the number of boxes in stock at the end of an 8 hour shift.
Answer:
1. [tex]Initial = 244[/tex]
2. [tex]b = 244 + 52h[/tex]
3. 660 boxes
Step-by-step explanation:
Given
[tex]Rate = 52\ per\ hour[/tex]
[tex]Total\ boxes\ in\ 3\ hours = 400[/tex]
Solving (a): Initial Number of boxes
First, we calculate the number of boxes made in 3 hours
[tex]Boxes = Rate * Hours[/tex]
[tex]Boxes = 52 * 3[/tex]
[tex]Boxes = 156[/tex]
If they had 400 boxes at the 3rd hour.
Then, the number of boxes when they opened is:
[tex]Initial = 400 - 156[/tex]
[tex]Initial = 244[/tex]
Solving (b): Linear function
[tex]b = boxes[/tex]
[tex]h = hours[/tex]
Since, we have the rate and the initial number of boxes.
The linear function is:
[tex]Boxes = Initial + Rate * Hours[/tex]
i.e.
[tex]b = 244 + 52 * h[/tex]
[tex]b = 244 + 52h[/tex]
Solving (c): Boxes at the end of the 8th hour
We have:
[tex]b = 244 + 52h[/tex]
In this case:
[tex]h = 8[/tex]
Substitute 8 for h
[tex]b = 244 + 52 * 8[/tex]
[tex]b = 244 + 416[/tex]
[tex]b = 660[/tex]
Hence, there are 660 boxes at the end of the 8th hour
State whether the triangles are similar. If they are, write a similarity statement and the postulate or theorem you used.
Given: m∠R = 29° and m∠T = 29°
Answer: Correct option: B. ΔQRS ≈ ΔUTV, SAS
Step-by-step explanation:
IN the given triangles (ΔQRS and ΔUTV),
m∠R = 29° and m∠T = 29° (given)
[tex]\dfrac{QR}{UT}=\dfrac{16}{8}=2\\\\\dfrac{SR}{VT}=\dfrac{64}{32}=2\\\\\therefore\dfrac{QR}{UT}=\dfrac{SR}{VT}[/tex]
By SAS similarity rule , ΔQRS ≈ ΔUTV .
Correct option: B. ΔQRS ≈ ΔUTV, SAS
The SAS similarity theorem says that if 2 sides in a triangle are proportional to 2 sides in another triangle and the included angle in both are congruent, then the 2 triangles are similar.
Please help me if u know
In which direction must the graph of f(x) = |x| be shifted to produce the graph of g(x) = |x − 3|?
A.
left
B.
down
C.
up
D.
right
Answer:
In which direction must the graph of f(x) = |x| be shifted to produce the graph of g(x) = |x − 3|?
A. left
B. down
C. up
✓D. right
Right is the right answer.
Answer:
Down
Step-by-step explanation:
I took the test and got it right
--6x = 48 (solving equations)
Which statement describes data that is normally distributed?
A.
The majority of the data is to the left of the mean.
B.
The majority of the data is to the right of the mean.
C.
The majority of the data is in the center with the mean.
D.
The majority of the data is split to the right and left of the mean.
Please explain and no answering just for points.
Answer: D.) The majority of the data is split to the right and left of the mean
PLS HELP WILL GIVE BRAINLIEST ANSWER
Answer:
8
Step-by-step explanation:
2(20-8x)=5x-2
40-16x=5x-2
42=21x
x=2
HK=5x-2 = 5(2)-2 = 10-2 = 8
Solve for x.
-1+4x5= 3
Answer:
[tex]x = 0.2 \: or \: \frac{1}{5} [/tex]
Step-by-step explanation:
[tex] - 1 + 4x.5 = 3[/tex]
[tex] = > 20x - 1 = 3[/tex]
[tex] = > 20x = 3 + 1 = 4[/tex]
[tex] = > x = \frac{4}{20} = \frac{1}{5} = 0.2[/tex]
What is the value of 9(4x - 4) when x = 5
Answer:
144
Step-by-step explanation:
plug in 5 where you see the x.
that gives us 9(4(5)-4)
multiply the 4 and the 5 first to get 9(20-4)
and by PEMDAS, we solve the parentheses first so now we have 9(16)
so now just multiply 9x16 to get 144
Step-by-step explanation:
9((4×5)-4)
9(20-4)
9(16)
144
What is the value of q?
52 589
9
8+3(p-9)
Pleaseeee helppp
Answer:
3p - 19
Step-by-step explanation:
8 + 3(p - 9)
Distribute;
8 + 3p - 27
Collect like terms;
-19 + 3p
3p-19 by using addition and the distributive property
How many solutions exist for the given equation?
x+12) = 4x-1
EEEE
O zero
O one
two
O infinitely many
Answer:
One answer exists for this equation.
The response to a question has three alternatives: A, B, and C. A sample of 120 responses provides 60 A, 12 B, and 48 C. Show the frequency and relative frequency distributions.
Answer:
CLASS FREQUENCIES RELATIVE FREQUENCIES
A 60 0.5
B 12 0.1
C 48 0.4
TOTAL 120 1
Step-by-step explanation:
Given that;
the frequencies of there alternatives are;
Frequency A = 60
Frequency B = 12
Frequency C = 48
Total = 60 + 12 + 48 = 120
Now to determine our relative frequency, we divide each frequency by the total sum of the given frequencies;
Relative Frequency A = Frequency A / total = 60 / 120 = 0.5
Relative Frequency B = Frequency B / total = 12 / 120 = 0.1
Relative Frequency C = Frequency C / total = 48 / 120 = 0.4
therefore;
CLASS FREQUENCIES RELATIVE FREQUENCIES
A 60 0.5
B 12 0.1
C 48 0.4
TOTAL 120 1
-49-X = -8x + 70
helppp
Answer:
x=17
Step-by-step explanation:Get everything to one side by using addition and subtraction and combine like terms. Once you have that set it equal to zero and put the b in Mx+b on the other side then divide it by m and you’ll have x
Roberto wants to display 18 sports cards in an album. Some pages hold 2 cards and others hold 3 cards. How many different ways can Roberto display his figures?
Answer: The answer is 2.
HOPE IT HELPS!!
Hello! :)
Please help me solve this + explain your answer :)
I will indeed give you Brainlst <3
On Wednesday, farmer bell wants to take an inventory of his mango trees He planted 7 rows of mango trees. There are 42 mango trees in each row. How many mango trees does he have altogether?
A rectangle has a length of 3x + 7 and a width of 2x. If the perimeter of the
rectangle is 94 units, what is the length of the rectangle.
Answer:
The length of the rectangle is 31.
Step-by-step explanation:
We have that the length (L) and width (W) are:
[tex] L = 3x + 7 [/tex]
[tex] W = 2x [/tex]
The perimeter of the rectangle is given by:
[tex] P = 2W + 2L [/tex]
[tex] 94 = 2(2x + 3x + 7) [/tex]
[tex] 94 = 10x + 14 [/tex]
[tex] x = 8 [/tex]
Now, we can calculate the length of the rectangle:
[tex] L = 3x + 7 = 3*8 + 7 = 31 [/tex]
Therefore, the length of the rectangle is 31 units.
I hope it helps you!
A store pays $13 for a bicycle helmet and marks up the price by 40% what is the amount of the mark-up?
Answer:
Step-by-step explanation:
the amount of mark up is
13*(40/100)=5.20
HELP PLEASE
Determine the length of a chord whose central angle is 65° in a circle with a radius of 9 feet.
Question 5 options:
1)
4.84 feet
2)
9 feet
3)
9.67 feet
4)
8.16 feet
Answer:
3)
9.67 feet
Step-by-step explanation:
The length of the chord is approximately 8.16 feet. The correct option is 4.
What is the length of the chord of the circle?A line segment connecting two points on a circle is referred to as a circle's chord in geometry. The circle's center is traversed by the longest segment that can be drawn between any two points on the circle.
To get the chord's length, we can utilize the formula for a circle's chord length. The equation is:
Length of chord = 2r sin(θ/2)
where r is the circle's radius, is its radian central angle, and sin is the sine function.
First, we need to convert the central angle from degrees to radians:
θ = 65° = (65/180)π = 1.14 radians
Now we can plug in the values:
Length of chord = 2(9 feet) sin(1.14/2) ≈ 8.16 feet
Therefore, the length of the chord is approximately 8.16 feet.
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The sum of 1 and a number x
9515 1404 393
Answer:
1 + x
Step-by-step explanation:
A sum is found by adding terms. Here, you are told the terms to add are 1 and x. We use the plus sign (+) to signify addition. Your sum is ...
1 + x