Answer:
See explanation
Step-by-step explanation:
Use formula
[tex]I=P\cdot r\cdot t,[/tex]
where
I = interest,
P = principal,
r = rate (as decimal),
t = time
In your case,
[tex]P=\$1,539\\ \\r=0.01[/tex]
If [tex]t_1=5[/tex] years, then
[tex]I_1=1,539\cdot 0.01\cdot 5=76.95[/tex] and the whole sum is [tex]\$1,539+\$76.95=\$1,615.95[/tex]
If [tex]t_2=10[/tex] years, then
[tex]I_2=1,539\cdot 0.01\cdot 10=153.9[/tex] and the whole sum is [tex]\$1,539+\$153.9=\$1,692.9[/tex]
If [tex]t_3=15[/tex] years, then
[tex]I_3=1,539\cdot 0.01\cdot 15=230.85[/tex] and the whole sum is [tex]\$1,539+\$230.85=\$1,769.85[/tex]
collins middle school has 264 sixth grade students. if the sixth grade is 40% of the total school, how many students are in the middle school? please help !!!
Answer:
660
Step-by-step explanation:
y x .40= 264
solve for y
what is 1/4 and 1/8 closest to 0, 1, 2, or 3
Answer:
0
Step-by-step explanation:
Select all that apply.
With wich information can you construct more than one triangle with.
1.the measurement of two angles
2.the measurement of two angles and the length of the included side
3.the measurements of all the right angles
4.the lengths of the two sides and the measurement of the included angle
You can construct more than one triangle with Option 1) the measurement of two angles and option 2) the length of the included side, and Option 4) the lengths of the two sides and the measurement of the included angle.
Explanation:Constructing triangles depends on the given information. According to the rules of geometry, 1) the measurement of two angles alone is not enough to construct a unique triangle. 2) With the measurement of two angles and the length of the included side (also known as Angle-Side-Angle or ASA), you can construct a unique triangle. 3) The measurements of all right angles is irrelevant as a triangle can have only one right angle. 4) With the lengths of two sides and the measurement of the included angle (also known as Side-Angle-Side or SAS), you can also construct a unique triangle.
Therefore, with the measurement of two angles and the length of the included side and the lengths of the two sides and the measurement of the included angle, you can construct more than one triangle.
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Simplify completely X + 12x +35
3x + 15
somety company 05. ( pomen
11 point
+21
X + 5
+ 11
x +7
Answer:
X + 12x +35+3x + 15=16x+50
Step-by-step explanation:
Thomas is training for a race by running on a circular path. He knows that it is 0.75 mile
from the tree in the center of the circular path to the path. How long is the path?
The length of the path that Thomas runs on the circular path is approximately 4.71 miles.
Thomas is training for a race by running on a circular path. To find out the length of the path, we need to calculate the circumference of the circle using the radius provided (0.75 mile from the tree in the center of the circular path to the path).
The formula for the circumference of a circle is [tex]C = 2 \times \pi \times r,[/tex] where C is the circumference and r is the radius of the circle.
Substituting the given radius (0.75 mile) into the formula gives us: [tex]C = 2 \times \pi\times 0.75.[/tex]
By using 3.14159 as an approximation for π the calculation would be
[tex]C = 2 \times 3.14159 \times 0.75 = 4.71238875 miles.[/tex]
Therefore, the length of the path that Thomas runs on the circular path is approximately 4.71 miles.
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (1,−3); + 2 = 4( - 1)+2=4(−1)
The given equation is y + 2 = 4(x - 1)
The equation of the parallel line in the slope-intercept form is y = 4x - 7
Step-by-step explanation:
Parallel lines have
Same slopesDifferent y-interceptsThe slope-intercept form of the equation of a line is y = mx + b, where m is the slope of the line and b is the y-intercept
∵ The equation of the given line is y + 2 = 4(x - 1)
- Change its form to slope-intercept form to find its slope
∵ y + 2 = 4(x) - 4(1)
∴ y + 2 = 4x - 4
- Subtract 2 from both sides
∴ y = 4x - 6
- Compare it with the slope-intercept form to find m
∵ the slope-intercept form is y = mx + b
∴ m = 4
∵ The parallel lines have same slopes
∴ The slope of the parallel line is 4
- Substitute it in the form of the equation
∴ The equation of the parallel line is y = 4x + b
- To find b substitute x and y in the equation by the
coordinates of a point on the line
∵ The parallel line passes through point (1 , -3)
∴ x = 1 and y = -3
∵ -3 = 4(1) + b
∴ -3 = 4 + b
- Subtract 4 from both sides
∴ -7 = b
∴ The equation of the parallel line is y = 4x + (-7)
∴ The equation of the parallel line is y = 4x - 7
The equation of the parallel line in the slope-intercept form is y = 4x - 7
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chris had 11 toys * a square = 22
Answer:
242
Step-by-step explanation:
11x22=242
Give PQ=24,PS=19,PR=42,TQ=10 mPQR=106,mQRS=49 and PRS=35
Answer:
QR = 19
SR = 24
PT = 21
SQ = 20
m∠QRS = 74°
m∠PQS = 49°
m∠RPS = 39°
m∠PSQ = 57°
Step-by-step explanation:
Attached is the complete question:
By definition, a parallelogram is a quadrilateral, which means it has 4 sides where the opposite pairs are parallel to each other. These pair of sides are congruent.
With that we can assume the following:
PQ ≅ SR
PS ≅ QR
m∠PQR ≅ m∠ PSR
m∠QRS ≅ m∠ QPS
The given states that:
PQ ≅ SR
PS ≅ QR
then:
PQ = 24
PS = 19
So we know that:
QR = 19
SR = 24
When it comes to the angles, we have the following theorems:
Opposite angles (Opposite edges) are congruent
Consecutive angles are supplementary, or they sum up to 180°
We are given the following angles:
m∠PQR = 106°
m∠QSR = 49°
m∠PRS = 35°
Based on the theorems we know the following:
m∠PQR ≅ m∠PSR
m∠PQR + m∠QRS = 180°
Then:
m∠PQR + m∠QRS = 180°
106° + m∠QRS = 180°
m∠QRS = 180° - 106°
m∠QRS = 74°
In addition, m∠PSR = 106° and m∠QSR = 49° then when we add it to m∠PSQ it should be equal to m∠PSR
m∠QSR + m∠PSQ = m∠PSR
49° + m∠PSQ = 106°
m∠PSQ = 106° - 49°
m∠PSQ = 57°
Now notice that a parallelogram when you cut them in half, it makes two congruent triangles. All angles in a triangle sum up to 180° so we can assume that:
m∠PSR + m∠PRS + m∠RPS = 180°
So:
106° + 35° + m∠RPS = 180°
141° + m∠RPS = 180°
m∠RPS = 180° - 141°
m∠RPS = 39°
Following the same logic:
m∠QPS ≅ m∠QRS
m∠QPS = 74°
m∠QPS + m∠PSQ + m∠PQS = 180°
74° + 57° + m∠PQS = 180°
131° + m∠PQS = 180°
m∠PQS = 180° - 131°
m∠PQS = 49°
-90 greater than or equal to 18x
Answer:
The required Expression is
[tex]-90 \geq 18x[/tex]
Also for x Divide by 18 on both the side
[tex]\dfrac{-90}{19}\geq \dfrac{18x}{18}\\\\-5\geq x\\\\x\leq -5[/tex]
Step-by-step explanation:
-90 greater than or equal to 18x .
It is the Algebraic Expression in Statement form.
Algebraic Expression is given in the form numbers and variables with the operands such as,
' + ' Plus Sign
' - ' Minus Sign
' > ' Greater Sign
' = ' Equal Sign
' ≥ ' Greater than or Equal to Sign ,etc.
Here -90 Greater than or Equal 18 x
Therefore , -90 ≥ 18x
The required Expression is
[tex]-90 \geq 18x[/tex]
Also for x Divide by 18 on both the side
[tex]\dfrac{-90}{19}\geq \dfrac{18x}{18}\\\\-5\geq x\\\\x\leq -5[/tex]
PLEASE CAN SOMEONE,ANYONE HELP ME. This is a 7th grade math homework please HELP ME
Answer:
Step-by-step explanation:
It’s positive
-16
$3.85 per gallon
What is eight and five sixths minus fifty
Does the expression (4r+6)÷2 also represent the number of females on the team this year
The expression (4r+6)÷2 can be used to represent the number of females on a team if r is used to represent the number of female team members. Otherwise, it represents what the variable r represents.
Explanation:The expression (4r+6)÷2 represents an algebraic equation where r is a variable. If r is representing the number of female team members in a sport, then the value for r can be inserted into the equation to find the total. For instance if r=5, representing 5 female team members, the equation would then be (4*5+6) ÷2 = (20+6) ÷ 2 = 26 ÷ 2 = 13.
However, it's important to note that this equation does not inherently represent the number of females on a team. The value it represents is dependent on what the variable r is representing. If r represents something different, then the result would represent that different thing. Thus, the equation can only represent the number of females on a team if r is used to represent that.
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I would like to buy a sandwich and pancakes, which would be $8.50, with a 6% tax and 20% gratuity, how much would that be all in all?
Answer:
9.01 maybe my math might be wrong
Step-by-step explanation:
Answer:
In total it would be $10.71
Step-by-step explanation:
Turn the percent into a decimal, 6% into 0.06. Then multiply that with 8.50.
8.50×0.06= 0.51
Now, turn 20% into a decimal and multiply that with 8.50.
8.50×0.20= 1.70
Then, add 0.51 and 1.70 to 8.50.
0.51+1.70+8.50= 10.71
What numbers have 12,24 and 36 as multiples?
Answer:
The answer is 2,3,4 and ,6
Step-by-step explanation:
This is because 12,24,and 36 can all be divided by 2,,3,,4, and 6
In △ABC, m∠A=35°, a=12, and b=14. Find c to the nearest tenth.
Answer:
c=45
Step-by-step explanation:
In triangle ABC, if a=12, b=10 and the measure of angle C=45 ..
Answer:
20.4
Step-by-step explanation:
What is x in -3x-8y=20, -5x+y=20
The value of x is -4.186
Solution:
Given equations,
[tex]-3x-8y=20\rightarrow(1)[/tex]
[tex]-5x+y=20\rightarrow+y=20+5x\rightarrow (2)[/tex]
On substituting (2) in (1) we get,
-3x-8(20+5x)=20
-3x-160-40x=20
On solving we get,
-160-43x=20
-43x=20+160
On grouping the known and unknown terms,
x=180/-43
x=-4.1860
Use the slope-intercept form of the linear equation to write the equation of the line with the given slope and y-intercept. Slope 4; y-intercept (0,-8/9)
Type answer in slope-intercept form
[tex]\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{-\frac{8}{9}}) ~\hspace{10em} \stackrel{slope}{m}\implies 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{\left(-\cfrac{8}{9} \right)}=\stackrel{m}{4}(x-\stackrel{x_1}{0}) \\\\\\ y+\cfrac{8}{9}=4x\implies y = 4x-\cfrac{8}{9}[/tex]
Slope-intercept form: y = mx + b [m is the slope, b is the y-intercept or the y value when x = 0 ---> (0, y)]
Since you know:
m = 4
[tex]b=-\frac{8}{9}[/tex] Plug it into the equation
y = mx + b
[tex]y=4x-\frac{8}{9}[/tex]
Solve this system:
-6r+5s+2t=-11
-2r+s+4t=-9
4r-5s+5t=-4
Answer:
[tex]r=4\\ \\s=3\\ \\t=-1[/tex]
Step-by-step explanation:
Given the system of three linear equations:
[tex]\left\{\begin{array}{l}-6r+5s+2t=-11\\ \\-2r+s+4t=-9\\ \\4r-5s+5t=-4\end{array}\right.[/tex]
Cheange the positions of the first and the second equations:
[tex]\left\{\begin{array}{l}-2r+s+4t=-9\\ \\-6r+5s+2t=-11\\ \\4r-5s+5t=-4\end{array}\right.[/tex]
Multiply the first equation by -3 and add it to the second equation and then multiply the first equation by 2 and add it to the third equation:
[tex]\left\{\begin{array}{r}-2r+s+4t=-9\\ \\2s-10t=16\\ \\-3s+13t=-22\end{array}\right.[/tex]
Multiply the second equation by 3, the third equation by 2 and add them:
[tex]\left\{\begin{array}{r}-2r+s+4t=-9\\ \\2s-10t=16\\ \\-4t=4\end{array}\right.[/tex]
From the third equation,
[tex]t=-1[/tex]
Substitute it into the second equation:
[tex]2s-10\cdot (-1)=16\\ \\2s+10=16\\ \\2s=6\\ \\s=3[/tex]
Substitute [tex]t=-1[/tex] and [tex]s=3[/tex] into the first equation:
[tex]-2r+3+4\cdot (-1)=-9\\ \\-2r+3-4=-9\\ \\-2r-1=-9\\ \\-2r=-9+1\\ \\-2r=-8\\ \\2r=8\\ \\r=4[/tex]
Hence,
[tex]r=4\\ \\s=3\\ \\t=-1[/tex]
A bag contains green marbles and red marbles, 77 in total. The number of green
marbles is 1 less than 5 times the number of red marbles. How many green marbles
are there?
Final answer:
The answer is 64 green marbles.
Explanation:
To find out how many green marbles are there, we can set up an equation based on the given information. Let G represent the number of green marbles and R represent the number of red marbles. We know that the total number of marbles is 77, so we have the equation G + R = 77. We are also given that the number of green marbles is 1 less than 5 times the number of red marbles, which can be written as G = 5R - 1.
We can solve this system of equations by substituting the second equation into the first equation:
5R - 1 + R = 77
6R = 78
R = 13
Substituting the value of R back into the second equation, we can find the number of green marbles:
G = 5(13) - 1 = 64
Therefore, there are 64 green marbles in the bag.
Which system of linear inequalities has the point (2,1) in its solution set
Answer:
the 2nd one
Step-by-step explanation:
Answer:
its D in edge
Step-by-step explanation:
(HELP, ME NOW! LOTS OF POINTS)A circular skating rink has a radius of 40 feet. Which expression can be used to find the circumference of the skating rink, in feet?
(A) 40/π
(B) 2 ⋅ 40 ⋅ π
(C) 40 ⋅ π
(D) π ⋅ 40^2
Answer:
B. 2 x 40 x pi
Step-by-step explanation:
the other answer lead me to the correct answer. I just chose this option on TTM and it was correct.
An expression that can be used to find the circumference of the skating rink, in feet is: (B) 2 ⋅ 40 ⋅ π
How to find the Circumference of a Circle?The formula to find the Circumference of a Circle is:
C = 2πr
Where:
C is Circumference
r is radius
We are given that the radius is: r = 40 ft
Thus the circumference is:
C = 2 * 40 * π
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Find the sticker price for a vehicle with the following features and costs: suggested retail price of $12,720, destination charge of $460, equipped with cruise control, defogger, and an AM/FM radio for $235, $148, and $153, respectively.
a $14,480
b $13,256
c $12,720
d$13,716
The right answer is Option D.
Step-by-step explanation:
Given,
Retail price = $12,720
Destination charge = $460
Cruise control = $235
Defogger = $148
AM/FM radio = $153
Sticker price = Sum of all feature costs
Sticker price = 12720+460+235+148+153
Sticker price = $13716
The right answer is Option D.
Keywords: addition
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Final answer:
To find the vehicle's sticker price, add the suggested retail price to the destination charge and the costs of additional features, resulting in a total of $13,716.
Explanation:
The question involves calculating the total sticker price for a vehicle by adding up various costs. We start with the suggested retail price, then include the destination charge and the costs of the additional features such as cruise control, defogger, and an AM/FM radio.
Start with the suggested retail price: $12,720.Add the destination charge: $460.Add the cost of cruise control: $235.Add the cost of the defogger: $148.Add the cost of the AM/FM radio: $153.To find the total sticker price, we simply add all of these amounts together:
Sticker Price = Suggested Retail Price + Destination Charge + Cost of Cruise Control + Cost of Defogger + Cost of AM/FM Radio
Sticker Price = $12,720 + $460 + $235 + $148 + $153 = $13,716
Therefore, the correct answer is d. $13,716.
Find the exact value of the side of a square whose
area is 48 in².
Answer:
6.93 in
Step-by-step explanation:
[tex]A = s^{2}[/tex]
[tex]48 = s^{2}[/tex]
[tex]\sqrt{48} = \sqrt{s^{2} }[/tex]
[tex]s = 6.92820323028 in[/tex]
Answer:
Step-by-step explanation:
side = √48 = √4*4*3 = 4*√3 = 4 * 1.732 =6.928 in
323.6 divided by 47 rounded to the nearest tenth
6.9
323.6/4=6.885
Round to the nearest tenth=6.9
Which of the following system of equations is not equal to the system of equations shown
7x - 3y = 4
2x - 4y = 1
A. 28x - 12y = 16 and -6x + 12y = -3
B. 14x - 6y = 4 and -14x + 28y = 1
C. -28x + 12y = -16 and 28x - 56y = 14
Answer:
B
Step-by-step explanation:
7x - 3y = 4
2x - 4y = 1
==============
A. if u take 7x - 3y = 4....and multiply it by 4, u get 28x - 12y = 16
if u take 2x - 4y = 1...and multiply it by -3, u get -6x + 12y = -3
These are equivalent equations
B. if u take 7x - 3y = 4...multiply it by 2, u get 14x - 6y = 8
not equivalent
C. if u take 7x - 3y = 4, multiply it by -4, u get -28x + 12y = -16
if u take 2x - 4y = 1, multiply it by 14, u get 28x - 56y = 14
equivalent equations
Answer:
28x - 12y = 16 and -6x + 12y = -3
Arrange the zoo animals from greatest to least according to their weights.
elephant: 5.5 × 103 kilograms
giraffe: 1.6 × 103 kilograms
lion: 1.9 × 102 kilograms
Bengal tiger: 2.2 × 102 kilograms
giant panda: 1.2 × 102 kilograms
↓
↓
↓
↓
Answer:
Elephant
Bengal tiger
Lion
Giraffe
Giant panda
Step-by-step explanation:
Clara has a purse in the shape of a trapezoid the top of the purse measures 22 cm while the bottom of the part measures 36 cm if the area of the purse is 754 centimeters what is the height
The height of purse which is in trapezoid shape is 26 cm
Solution:
Clara has a purse in the shape of a trapezoid
The area of trapezoid is given by formula:
[tex]Area = \frac{a+b}{2} \times h[/tex]
Where,
"h" is the height
"a" and "b" are the parallel sides length
From given,
Area = 754 cm
a = 22 cm
b = 36 cm
h = ?
Substituting the values in formula,
[tex]754 = \frac{22+36}{2} \times h\\\\754 = \frac{58}{2} \times h\\\\Simplify\ the\ above\ expression\\\\754 = 29h\\\\Divide\ both\ sides\ of\ equation\ by\ 29\\\\h = 26[/tex]
Thus height of purse which is in trapezoid shape is 26 cm
Madeline is selling sketches for $2 and
color prints for $5 at a comic convention.
Madeline leaves the table and asks her
friend Chris to run the table for her. She
returns to find Chris has made $93. Chris
doesn't know how many of each item he
sold, but he remembers that he sold a
total of 30 sketches and colored prints.
Below is Madeline's work in determining
how many of each item was sold.
Answer:
A,B,C
Step-by-step explanation:
When we look at her work, which you write in comment we can see that she make mistake. So lets answer your questions .
A) Because we cannot have 8.25 prints, we can just have integer 8 or 9. or some other integer.
B) explain Madeline mistake :
2(30-p)+5p=93 in this she needs to multiply 2 by 30 and 2 by -p, which she didnt.
C) When we correct mistake we can evaluate how much Chris sell.
60-2p+5p=93
3p=33
p=11
s=30-p=19
So, Chris sells prints 11 and sketches 19
4a=16, a=10
What’s the answer?
Answer: = 4 + 0.5b i think
My family saved $2500 for a trip to the beach. We plan to spend 3/5 of this amount on gas and our hotel room and 1/2 of the remainder on food. What do we plan to spend on food?
Answer:
$500
Step-by-step explanation:
We are given;
Amount saved for the trip is $2500Amount spent on the gas and hotel room is 3/5 of the saved moneyAmount on food is 1/2 of the remainderWe are supposed to determine the amount spent on food;
Therefore;
Amount on gas and hotel room = 3/5 × $2500
= $ 1500
Thus;
Remaining amount = $2500 - $1500
= $1000
But;
1/2 of the remainder was spent for the food
Thus;
Amount on food = 1/2 × $1000
= $500
Hence, the family spent $500 on food