Answer:
Yes because everytime y increases by 150 x increases by 1
Step-by-step explanation:
what is the rounded tenth of 586
Answer:
The answer is 590.
Answer:
The nearest tenth would be 590 since you round 86 to the nearest tenth. 86 is closer to 90 instead of 80, once again your answer is 590.
Step-by-step explanation:
How many years would it take a $5,000 investment to reach $7,500 at an 8% interest rate?
Answer:
18.75 years
Step-by-step explanation:
first multiply the amount to the rate
5,000 × 8% = 400
second
7,500/ 400 = 18.75
it takes 18.75 to reach 7,500
A person invest 7500 dollars in a bank. The bank pays 6 interest compounded semi-annually. To the nearest tenth of a year,how long must the person leave the money in the bank until it reaches 10100 dollars?
Answer:
Step-by-step explanation:
I clicked see solution
T=5 years
It will take 5 years for a person to have 10100 dollars.
What is Compound Interest ?Compound interest is calculated on the principal as well as the interest accumulated over the preceding period. It differs from simple interest in that interest is not added to the principal when calculating interest for the following month.
Given:
A person invest 7500 dollars in a bank.
The bank pays 6 interest compounded semi-annually.
The compound interest formula is equal to
A = P([tex]1+ r/n)^{n/t[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
So, substituting the values we get
10,100 = 7500 (1 + 0.06/2[tex])^{2t[/tex]
1.3466 = (1.03[tex])^{2t[/tex]
Taking log on both side we get
log (1.3466) = 2t log (1.03)
2t = log ( 1.3466- 1.03)
2t =0.12923 / 0.01283
t = 10.072 / 2
t = 5. 036 year
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The perimeter of parallelogram ABCD is 76 cm. AD is 5 cm more than twice AB. Find the lengths of all four sides of ABCD.
What does side AB equal?
Answer:
xd eso tan faciiil
Step-by-step explanation:
facil 2+2=?
the parallelogram's sides are:
AB = 11BC = 27CD = 11AD = 27What is a parallelogram?A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, and a quadrilateral with equal sides is known as a rhombus.
Given The perimeter of a parallelogram, ABCD is 76 cm. AD is 5 cm more than twice AB
AD = 5 + 2AB....(1)
Also given
parameter = 76
For parallelogram parameter = 2(a + b)
where a and b are adjacent sides
2(a + b) = 76
a + b = 38
AB + AD = 38
From equation 1
AB + 5 +2AB = 38
3 AB = 33
AB = 11
substituting in equation 1
AD = 27
therefore, the Sides of the parallelogram are:
AB = 11
BC = 27
CD = 11
AD = 27
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Find the area in square meters of a circular pond with a radius of 7 ft. Use 3.14 for π, and round your answer to the nearest hundredth.
(1 m ≈ 3.2808 ft)
Step-by-step explanation:
since the pond is circular, its area will be πr².
a= πr², where r= 7ft
1 m ≈ 3.2808 ft
3.2808 ft ≈ 1 m
1 ft = 1/3.2808
7 ft = 1/3.2808 * 7
= 2.13362.. m
a= πr²
a= 3.14 * ( 2.13362...)2
a= 3.14 * 4.5523596...
a= 14.2944..
a= 10.0 m² (rounded to nearest tenth)
is the question right?
Area of circle is pi times its radius squared. The area of the circular pond in consideration is 14.29 square meters approximately.
How to find the area of a circular shaped object?Area of that circular shaped object with radius r units is given by:
[tex]A = \pi \times r^2 \: \rm unit^2[/tex]
For the given case, we've got a circular pond with a radius of 7 ft.
Since 1 m ≈ 3.2808 ft, thus,
dividing both the sides by 3.2808, we get
[tex]\rm 1\: ft \approx \dfrac{1}{3.2808} \: \rm meter\\\\\text{Multiplying 7 on both the sides}\\\\7 \: ft \approx \dfrac{7}{3.2808} \: meters \approx 2.1336 \: \rm meters[/tex]
Therefore, the radius of the considered circular pond is approximately 2.1336 meters.
Using the formula for area of circle to find the area of circular pond, we get:
[tex]A = \pi \times r^2 \: \rm unit^2\\\\A \approx 3.14 \times (2.1336)^2 \approx 14.294 \: \rm meter^2[/tex]
14.294 rounded to nearest hundredth would be 14.29
(after decimal point, the first place is tenth place, the second digit in right is hundredth place, and so on, [tex]x^{th}[/tex] place is [tex]10^x[/tex]th place).
Thus, the area of the circular pond in consideration is 14.29 square meters approximately.
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Drag and drop the terms to match each segment from this figure with its correct description.
Put if each segment is either Radius or Diameter
DE
FA
CF
EA
From the circle with center A, DE and CF are diameter while FA and EA are radius.
CircleA circle is the locus of a point such that the distance from the fixed point known as the center is constant.
A segment is a line that touches two points on the edge of a circle. Diameter is a line segment that passes the center of the circle while the radius is half of the diameter.
From the circle with center A, DE and CF are diameter while FA and EA are radius.
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Answer:
DE=diamter
FA=Radious
AC=Radious
CF=Diameter
EA=Radious
Step-by-step explanation:
All correct i took test
Can someone check my answers?
Answer:
givenvertical angle congruenceAA similarity theoremStep-by-step explanation:
1. ∠C ≅ ∠E . . . . given
2. ∠ABC ≅ ∠DBE . . . . vertical angle congruence theorem
3. ΔABC ~ ΔDBE . . . . AA similarity theorem
_____
When showing similarity of triangles with no marked sides, theorems that involve sides (SSS, SAS, AAS) do not apply. The only theorem you can invoke is the AA similarity theorem.
A proof generally begins by restating those things that are "given," that form the basis for the rest of the proof. Here, the arcs on the diagram show that angles C and E are congruent. That is "given."
Which number is an irrational number?
a) -22/9
B) -radical 3
C) 2.55
D) radical 16
Answer:
B
Step-by-step explanation:
A, C, and D are rational numbers. For D,
[tex] \sqrt{16} = 4[/tex]
Answer:
I believe the answer is B
Last tuesday evening, Aaron, the car wash owner, found he had 90% more quarters than dimes. If the combined value of Aaron's quarters and dimes is $69, how many times did he have
Aaron the car wash owner had 228 quarters and 120 dimes.
EquationAn equation is an expression used to show the relationship between two or more variables and numbers.
Let x represent the number of quarters and y represent the number of dimes. Hence:
x = 90% of y + y
x = (0.9y) + y
x - 1.9y = 0 (1)
Also:
0.25x + 0.1y = 69 (2)
From both equations:
x = 228, y = 120
Aaron the car wash owner had 228 quarters and 120 dimes.
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help please! will give brainliest :)
[tex]8m {}^{3} - 128m \\ 8m( {m}^{2} - 16)[/tex]
By taking common
please the question is in the screenshot
Look at the stem-and-leaf plot. What is the mode of the numbers?
A. 22
B. 12
C. 2
D. There is no mode.
Answer:
C. 2
Step-by-step explanation:
Mode is the number that repeats the most or more often than others. The number 2 repeats three times. The number 0 repeats twice. Numbers 3 and 4 do not repeat.
An investment of $74,500.00 earns 13.3% annual interest, compounded continuously. If no funds are added or removed from this account, what is the future value of the investment after 25 years? Round your answer to the nearest penny.
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$74500\\ r=rate\to 13.3\%\to \frac{13.3}{100}\dotfill &0.133\\ t=years\dotfill &25 \end{cases} \\\\\\ A=74500e^{0.133\cdot 25}\implies A=74500e^{3.325}\implies A\approx 2071025.40[/tex]
If TP=16 units and T’ P’ = 12 units, what is the scale factor of the dilation?
I put -4 on my first attempt and it was wrong.
Answer:
3/4
Step-by-step explanation:
It says factor thithink multiplication.
So the question can translate to what number can I multiply 16 by to get 12.
16×k=12
Thus k=12/16 =3/4.
10th grade geometry
Answer:
x = 7°
Step-by-step explanation:
Using the exterior angle theorem (the sum of the two opposite angles in the triangle equals the exterior angle)
Solve:
(3x + 17) + (3x + 11) = 11x - 76x + 28 = 11x - 728 = 5x - 735 = 5xx = 7The value of x = 7
There is a picture attached for this problem.
-Chetan K
In which step does a mistake first occur?
8 / 2 + (3 X 3 -2)
Step 1: 8 +2 + (3 x 1)
Step 2: 8 +2 + 3
Step 3: 4 + 3
Step 4: 7
Answer:
Step 1
Step-by-step explanation:
The symbol seems to have changed from divide to add. The work done in the parentheses is also wrong by the order of operations; multiplication comes before addition.
Complete the steps to factor 56x2 – 8x – 7x 1 by grouping. Group pairs of terms with common factors. (56x2 – 8x) (–7x 1) Factor the GCF from each group. 8x(7x – 1) –1(7x – 1) Use the distributive property. What is the factorization of the polynomial? (8x – 1)(7x – 1) (8x 1)(7x – 1) (8x 7x)(1 – 1).
Grouping is done based on the distributive property of multiplication over addition. The factorized form of given polynomial is (8x-1)(7x-1)
What is distributive property of multiplication over addition?Suppose a, b and c are three numbers. Then we have:
[tex]a(b + c) = a\times b + a\times c[/tex]
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
The given polynomial is [tex]56x^2 - 8x - 7x + 1\\[/tex]
It can be grouped and factored as:
[tex]56x^2 - 8x - 7x + 1 = 8x \times 7x - 8x \times 1 - 7x + 1\\56x^2 - 8x - 7x + 1 = 8x(7x - 1) - 1(7x -1 )\\56x^2 - 8x - 7x + 1 = (7x - 1)(8x - 1) = (8x-1)(7x-1)[/tex]
Thus,
The factorized form of given polynomial is (8x-1)(7x-1)
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Ellen is excited to learn how to ski. She went to White Peaks Mountain, rented a pair of skis for $45, and took 4 hours of group skiing lessons. Ellen paid $165 in all.
Which equation can you use to find how much White Peaks charges, h, for each hour of group skiing lessons?
Answer:
x=30h
Step-by-step explanation:
First, you need to figure out how much she actually paid for lessons, so you need to subtract 45 from 165.
165-45=120
Now you know she paid 120 dollars in total for lessons.
You know she took four hours of lessons, so you divide 120 by 4.
120/4=30
It takes $30 an hour for lessons.
Now you can form an equation.
Since you know it takes $30 per hour of lessons, it will be 30h.
x is the full amount of money paid
You don't need to add 165-45 to your equation because not everyone will need to rent skis when they come to White Peaks.
Hope this helps!
x=30h is the equation used to find how much White Peaks charges, h, for each hour of group skiing lessons.
What is a fixed charge?A fixed charge is any type of expense that recurs on a regular basis, regardless of the volume of business.
First, we need to find out how much she actually paid for lessons, so we need to subtract 45 from 165.
165-45=120
Now we know that she paid 120 dollars in total for lessons.
Given that she took four hours of lessons, divide 120 by 4 to get the fixed charge of a lesson.
120/4=30
It takes $30 an hour for lessons.
Now we can form an equation.
Since it takes $30 per hour of lessons, it will be 30h.
x is the full amount of money paid.
No need to add 165-45 to equation because not everyone will need to rent skis when they come to White Peaks.
Hence, the equation formed to find the cost of each ession is x=30h
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Please help with this.
Solution:
A shape is only called symmetrical when:
A mirror line can be drawn on it.A shape is called non-symmetrical when:
A mirror line can't be drawn on it.This shape has no lines of symmetry because a mirror line cannot be drawn on this shape.
A shape is called symmetrical when it is same on both sides, In other words we can say that when a shape has the same mirror image.
And it is not symmetrical when the mirror image changes.
The shape we are given is not symmetrical because when we see its mirror image, The mirrored image is different...~what else is needed to prov these triangles congruent using the saa postulate
Answer:
B should be your answer
Step-by-step explanation:
I had this question.
The angles at point A need to be congruent. Option B is correct.
In congruent geometry, the shapes that are so identical. can be superimposed on themselves.
Here,
For the given figure,
Triangle ABC and Triangle ADC
AC = AC [common side]
Angle B = Angle D
Angle BAC = Angle DAC
Triangle ABC ≅Triangle ADC by SAA postulate.
Thus, the angles at point A need to be congruent. Option B is correct.
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Choose the expression that represents a linear expression. −17x4 − 18x3 19x2 − 20x 21 18x3 19x2 − 20x 21 23x2 24x − 25 4x 4.
Answer:
4x + 4
Step-by-step explanation:
I answered this correctly on my test
Hopes this help
Please let me know if I'm wrong
Answer:
4x+4
Step-by-step explanation:
Got it right on my test
Just tell me the answer I have 5 min
Find the rule. Solve for n. Х 12 15 20 Y 7 10 15 17 n Rule:
Answer:
n =22
Step-by-step explanation:
12-5=7
15-5=10
20-5=15
n-5=17
collect like terms
n=17+5
n=22
Answer:
Looking at the rule we can see that our x value is always 5 more than our y value. So to get our n we just take the y value of 17 and add 5 and we get 22. So our n is equal to 22.
What is the equation of the line that passes through the point (−4,−7) and has a slope of 3/2
General equation of linear function:
[tex]y=mx+b[/tex]
point (−4,−7);
[tex]x=-4, y=-7, \text{slope}=\dfrac{3}{2} =1,5[/tex]
[tex]-7=1,5\times(-4)+b\\-7=-6+b\\b=-1[/tex]
Ans:
[tex]y=\dfrac{3}{2} x-1 \:\text{or}\:y=1,5x-1[/tex]
[tex] \frac{1}{2} + \frac{1}{4} [/tex]
can you please tell me how to do easy way can you please show me in numbers how to multiply
we first look at the denominators, hmmm we have 2 and 4, and then do a quick prime factoring.
2 = 2 * 1
4 = 2 * 2 * 1
well, let's notice that 4 contains 2 already, plus another 2 and 1 so, we can just use that our LCD.
[tex]\cfrac{1}{2}+\cfrac{1}{4}\implies \cfrac{(2)1~~ + ~~(1)1}{\underset{\textit{using this LCD}}{4}}\implies \cfrac{2+1}{4}\implies \cfrac{3}{4}[/tex]
Question 7 (Essay Worth 4 points)
(06.04)
5x +
+ va
1 ²
2
What is the value of the expression above when x = 3 and y = 2? You must show all work and calculations to receive full credit.
X + -
126 Source ✓ C
BI U S x, * I. 25 ::E
Styles
BU
-
Format
Font
The expression if x = 3 and y = 2 is 2
Expressions and functionGiven the function expressed as:
[tex]\dfrac{5x+1}{2y^2}[/tex]
Given the following parameters
x = 3 and y = 2
Substituting the values into the following
[tex]= \dfrac{5(3)+1}{2(2)^2}\\=\dfrac{16}{2\times 4}\\=\dfrac{16}{8}\\= 2[/tex]
Hence the expression if x = 3 and y = 2 is 2
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To find solutions of equations should we look for x-intercepts or y-intercepts in a graph
if y varies directly as x, and y = 3 when x = 9, how will you find x when y = 36?
Answer:
(Some textbooks describe direct variation by saying " y varies directly as x ", " y varies proportionally as x ", or " y is directly proportional to x . ") This means that as x increases, y increases and as x decreases, y decreases—and that the ratio between them always stays the same.
Step-by-step explanation:
Solve the following system of equations
y = 2x2
y=-3x - 1
Answer:
The answer is ( -1/2 , 1/2) , (-1,2)
Step-by-step explanation:
hope this helps
what is the answer to (s+2)^3