The amount of money you'll have at the end of 10 years is $3900.
Given that, P=$3000, R=3% and T=10 years.
What is the formula to find the simple interest?The formula to find the simple interest is [tex]Interest=\frac{P \times T \times R}{100}[/tex].
Now, simple interest [tex]=\frac{3000 \times 10 \times 3}{100}=\$900[/tex].
Amount=Simple Interest+Principal
=900+3000=$3900
Therefore, the amount of money you'll have at the end of 10 years is $3900.
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Suppose every interior angle in a regular polygon is approximately 128.57∘. What kind of polygon is this?
The polygon with 128.57° as every interior angle is a septagon.
How to determine the polygonIf the interior angle = 128. 57°
Using ( n-2) × 180 = sum of interior angles
Let's say n= 7
We have that,
(7-2) × 180 = 900
Let's find out the polygon
= 7 × 128.57
= 900
A polygon with seven sides is a septagon
Thus, the polygon with 128.57° as every interior angle is a septagon.
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Could someone help me out?
Limit, can be defined as the every nearby the value of a variable for a function exists, is called limits|
⇒ [tex]\lim_{h \to0 \zero} 46x^11+32xh^3+6x^15h+23[/tex]
When putting h = 0
⇒ [tex]46x^11+23[/tex]
Thus, the value of a function of its limit is given by [tex]46x^11+23[/tex]
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How effective is it to go to your manager to request others take on some activities?
The effectiveness depends on your score of working.
How effective is it to go to your manager to request others take on some activities?
Certainty implies, indeed, that favorable things will happen and uncertainty implies favorable things won't happen.
If we go to our manager, requesting that others should take some activities. It certainly depends upon the our score in the office. if we are hard working than in situations manager could approve our request and if our score is low or we are not a hard worker than result may no be in our favor.
Thus, the effectiveness depends on your score of working.
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The question is down below
also I home school and have permission to post this question
Answer:
2448 ft²
Step-by-step explanation:
The surface area of the triangular prism is the sum of the areas of the triangular bases and the lateral area of the rectangular faces.
Base areaThe two right triangle bases together form a rectangle that is 24 ft wide and 18 ft tall. The total base area is ...
A = (24 ft)(18 ft) = 432 ft²
Lateral areaThe rectangular faces of the prism are each 28 ft wide and have a total width of 18 +24 +30 = 72 ft. Their total area is ...
LA = (28 ft)(72 ft) = 2016 ft²
Total surface areaThe sum of the base area and lateral area is ...
total area = (432 ft²) +(2016 ft²) = 2448 ft²
The surface area of the triangular prism is 2448 ft².
__
Additional comment
The area formula for the triangular base is ...
A = 1/2bh . . . . . . area of one triangle with base b and height h
Then the area of the two congruent triangular bases is ...
A = 2(1/2bh) = bh
This is the formula we used above. It skips the work of dividing by 2, then multiplying by 2 again.
The equation y minus 1 = negative 7 (x minus 3). is written in point-slope form. What is the y-intercept of the line? –4 –2 20 22
Answer:
22
Step-by-step explanation:
Hello!
We can convert it into slope-intercept form.
Slope - Intercept Form: [tex]y = mx +b[/tex]
m = slopeb = y-interceptConverty - 1 = -7(x - 3)y = -7x + 21 + 1y = -7x + 22The y-intercept of the line is 22.
A product is made up of three parts A B and C .The manufacturing in process is such that the probability of A being defective is 0.2..The probability of B being defective is 0.1 and probability of C being defective is 0.3.Find the probability that the assembled will have
a) No defective
b) at least two defective parts.
The probability that there'll be no defective will be 0.504.
How to calculate the probability?Probability of A being defective = 0.2.
Probability of B being defective = 0.1
Probability of C being defective = 0.3.
The probability that there will be no defective will be:
= (1 - 0.2) × (1 - 0.1) × (1 - 0.3)
= 0.8 × 0.9 × 0.7
= 0.504
The probability that there'll be no defect is 0.504.
The probability that there'll be at least two defective part will be:
= (0.2 × 0.1) + (0.2 × 0.3) + (0.1 × 0.3)
= 0.02 + 0.06 + 0.03
= 0.11
The probability that there'll be at least two defects is 0.11.
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simplify: 5^2 x 5^4
A, 5^8
B. 5 x 8
C. 5^2
D. 5^6
Answer:
D. 5^6
Step-by-step explanation:
[tex]5^2*5^4\\5^2^+^4\\5^6[/tex]
4 rows with circles and triangles, left to right. Row 1, circle, triangle, 2 circles, triangle. Row 2, triangle, circle, 2 triangles, circle, triangle. Row 3, circle, 2 triangles, circle, triangle. Row 4, triangle, 2 circles, 2 triangles. The ratio of the number of circles to the number of triangles in simplest form is . The number of circles that need to be added to make the ratio 1 : 1 is .
The ratio of circle to triangles is; 3:4 and the number of circles which should be added to make the ratio 1:1 is; 3.
What is the ratio of circles to triangles?It follows from the task content that the total number of circles and triangles in all 4 rows and can be counted and concluded as; 9 and 12 respectively.
Hence, the ratio of circles to triangles is 9 to 12 and in its simplest form is; 3:4.
However, to make the ratio 1:1, the number of circles and triangles must be equal. Hence, 3 circles must be added to make the ratio 1:1.
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WHATS THE CORRECT ANSWER ANSWER ASAP
Answer:
Step-by-step explanation:
Comment
A: Gravity always pulls downward towards (to keep it simple) the earth's center. The answer is not A.
C: If you are interested in upward motion, Friction is not going to be the answer. What will the rocket rub against to make it go up?
D: Centripetal Force has to do with circular motion, The rocket generally is not thought of as going in a circle. Not D.
Answer: B. A chemical reaction can be directed so the energy will force an upward motion.
HELP, PLATO!!!!!!!
David proved the Law of Cosines with reference to ∆ABC using a different method. Arrange the steps of his proof in the correct sequence.
Answer:
the law of cosines with ABC
A school administrator bought 6 desk sets. Each set consists of one table and one chair. He pald $48.50 for each chair. If he pald a total of $663 for the 6 sets, the cost of each table Is
RSTU is an isosceles trapezoid with bases RS and TU.
Find x and m/S if m/R=4x +11 and m/T=2x-5.
[tex]\angle R[/tex] and [tex]\angle S[/tex] are supplementary by the same-side interior angles theorem, and [tex]\angle S \cong \angle T[/tex] because of the properties of an isosceles trapezoid, meaning that [tex]\angle R[/tex] and [tex]\angle T[/tex] are supplementary.
[tex]4x+11+2x-5=180\\\\6x+6=180\\\\6x=174\\\\x=\boxed{29}\\\\\implies m\angle S=m\angle T=2(29)-5=\boxed{53^{\circ}}[/tex]
what is 4(x + 1) = 8.
Answer:
ight so distribute the 4 so you get 4x+4 then subtract 4 from 8 which leaves you with 4x=4 divide by 4 and you get 1
Step-by-step explanation:
[tex]\bf{4(x+1)=8}[/tex]
Divide both sides by 4.
[tex]\bf{x+1=\dfrac{8}{4} }[/tex]
Divide 8 by 4 to get 2.
[tex]\bf{x+1=2}[/tex]
Subtract 1 from both sides.
[tex]\bf{x=2-1 }[/tex]
Subtract 1 from 2 to get 1.
[tex]\bf{x=1 \ \ \to \ \ \ Answer}[/tex]
VerificationLet x=1.
[tex]\bf{4\times(1+1)=8 \ \ \to \ \ \ [Add] }[/tex]
[tex]\bf{4\times2=8 \ \ \to \ \ \ [Multiply]}[/tex]
[tex]\bf{8=8 \ \ \to \ \ \ [Equality \ holds] }[/tex]
Checked ✅
{ Pisces04 }
b) The resale value of a piece of industrial equipment has been found to behave according to the function V=700,000e-0.02t.
i) What was the original value of the piece of equipment
The original value of the piece of equipment is 700000
How to determine the original value?The resale value is given as:
V=700,000e^(-0.02t)
The original value is when t = 0.
So, we have:
V=700,000e^(-0.02 *0)
Evaluate the product
V=700,000e^0
This gives
V=700,000 * 1
Evaluate
V=700000
Hence, the original value of the piece of equipment is 700000
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The value of [tex]\sin ^{-1}\left(\frac{\sqrt{3}}{2}\right)-\sin ^{-1}\left(\frac{1}{2}\right)[/tex] is
Answer:
[tex]\displaystyle \frac{\pi}{6}[/tex]
Explanation:
According to the unit circle, [tex]\displaystyle \frac{\pi}{3}[/tex] and [tex]\displaystyle \frac{\pi}{6}[/tex] are the radian measures you are looking for because all y-coordinates are associated with the sine function, so when evaluating, you will arrive at this:
[tex]\displaystyle \boxed{\frac{\pi}{3}} = \frac{\pi}{3} - \frac{\pi}{6}[/tex]
I am joyous to assist you at any time.
NO LINKS!!!! What is the transformation of f (x)= x^3:
PART 4:
THIS IS NOT MULTIPLE CHOICE!!!!
10. f(x)= (x+5)^3
11. f(x)= (1/5x)^3
12. f(x)= (-x)^3
Answer:
10. Left 5
11. Horizontal stretch by a factor of 5
12. Horizontal reflection
Step-by-step explanation:
Transformations of Graphs (functions) is the process by which a function is moved or resized to produce a variation of the original (parent) function.
Transformations
For a > 0
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]
[tex]y=f(ax) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{a}[/tex]
[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]
[tex]y=f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}[/tex]
Identify the transformations that take the parent function to the given function.
Question 10
[tex]\textsf{Parent function}: \quad f(x)=x^3[/tex]
[tex]\textsf{Given function}: \quad f(x)=(x+5)^3[/tex]
Comparing the parent function with the given function, we can see that 5 has been added to the x-value of the parent function.
Therefore, the transformation is:
[tex]f(x+5) \implies f(x) \: \textsf{translated}\:5\:\textsf{units left}[/tex]
Question 11
[tex]\textsf{Parent function}: \quad f(x)=x^3[/tex]
[tex]\textsf{Given function}: \quad f(x)=\left(\dfrac{1}{5}x\right)^3[/tex]
Comparing the parent function with the given function, we can see that the x-value of the parent function has been multiplied by ¹/₅.
Therefore, the transformation is:
[tex]y=f\left(\dfrac{1}{5}x\right) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{\frac{1}{5}}[/tex][tex]\textsf{As }\dfrac{1}{\frac{1}{5}}=5 \implies \textsf{horizontal stretch by a factor of 5}[/tex]
Question 12
[tex]\textsf{Parent function}: \quad f(x)=x^3[/tex]
[tex]\textsf{Given function}: \quad f(x)=(-x)^3[/tex]
Comparing the parent function with the given function, we can see that the x-value of the parent function has been multiplied by -1.
Therefore, the transformation is:
[tex]y=f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}[/tex]
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How is the graph of g(x)=-(3x)³ related to the graph of
f(x)=x³?
A. The graph of g(x) is vertical compression of
the graph f(x) by a factor of 3 and a
reflection across the x-axis.
B. The graph of g(x) is horizontal compression
of the graph f(x) by a factor of 3 and a
reflection across the y-axis.
1
C. The graph of g(x) is horizontal compression
of the graph f(x) by a factor of and a
reflection across the x-axis.
3
the transformation from f(x) to g(x) is (c) the graph of g(x) is horizontal compression of the graph f(x) by a factor of 1/3 and a reflection across the x-axis.
How to compare both functions?The functions are given as:
f(x) =x^3
g(x) = -(3x)^3
The minus sign in g(x) = -(3x)^3 implies that the function f(x) is reflected across the x-axis
The 3 in g(x) = -(3x)^3 implies that the function f(x) is stretched horizontally by 1/3
Hence, the transformation from f(x) to g(x) is (c)
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Find the perimeter for 93 - 96
Find the surface area and volume for 97-100
93. Perimeter = 34cm
94. Perimeter = 72. 27mm
95. Perimeter = 22in
96. Perimeter = 56m
97. Volume = 512 in³
98. Volume = 72 in³
99. Volume = 154 cm³
100. Volume = 3, 309. 42 mm³
How to determine the perimeter93. Note that the diagram is a trapezium
Perimeter = a + b + c + d
a = 15 , b = 5 , c = 5 , d = 9
Perimeter = 15 + 5 + 5 + 9 = 34cm
94. Note that the diagram is a circle
Perimeter of a circle = 2 πr
Given diameter = 23mm
Radius = diameter/2
Radius = 23/ 2 = 11. 5mm
Perimeter = 2 × 3. 142 × 11. 5 = 72. 27 mm
95. Note that the shape is a rectangle
Perimeter of a rectangle = 2 (length + width)
Length = 5 in
width = 6 in
Perimeter = 2( 5 + 6)
Perimeter = 2 × 11 = 22 in
96. The shape is a rectangle
Perimeter of a rectangle = 2 (length + width)
Length = 10m , width = 19m
Perimeter = 2( 10+ 19) = 2 × 29 = 58m
97. Volume of a cube = side by power of 3
Volume = 8³
Volume = 512 cm³
98. Volume of a Cuboid = length × breadth × height
Volume = 3 × 2 × 12
Volume = 72 in³
99. Volume of a sphere = πr² [tex]\frac{h}{3}[/tex]
radius = 7cm , height = 3cm
Volume = [tex]\frac{22}{7}[/tex] × [tex]7^{2}[/tex] ×[tex]\frac{3}{3}[/tex]
Volume = [tex]22[/tex] × [tex]7[/tex] × [tex]1[/tex]
Volume = 154 cm³
100. Volume of a cone = πr²h
radius = 9mm, height = 13mm
Volume = [tex]\frac{22}{7}[/tex] × [tex]9[/tex] × 9 × 13
Volume = [tex]\frac{23166}{7}[/tex]
Volume = 3, 309. 42 mm³
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Giving brainliest!!!!!
I think it is 49123.52
Step-by-step explanation:
A certain 90-mile trip took 2 hours. Exactly 1/3 of the distance traveled was by rail and this part of the trip took 1/5 of the travel time. What was the average rate, in miles per hour, of the rail portion of the trip?
A. 71 B. 73 C. 74 D. 75
The average rate, in miles per hour, of the rail portion of the trip is; D: 75
How to calculate the average speed?Since exactly 1/3 of the distance travelled was by rail, then we can say that;
(1/3) * (90) = 30 miles
We are told that part of the trip took 1/5 of the travel time. Thus;
Time it takes to travel that distance is:
(1/5) * (2) = 2/5 of an hour
Average rate is;
30/(2/5) = 150/2 = 75 mph
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112 is the product of 7 and Raj’s score.
Answer: 16
Step-by-step explanation: 112 is equal to the product of 7 and Raj's score. Therefore, Raj's score score is 112 divided by 7 which is 16.
Answer:
Raj´s score = 16
Step-by-step explanation:
112 = 7R
R = Raj´s score
112/7 = R
R = 16
PLS ANSWERS QUCIK THANK YOU
Answer:
394.13cm²
Step-by-step explanation:
Formula: The area of a circle is found by A = πr²
Given:
radius is 11.2cm (shown in circle)π = 3.142Plug in:
A = πr² → A = (3.142)(11.2)²
→ A = (3.142)(125.44)
→ A = 394.13248
"2 decimal places", round up to 394.13
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Which of the following is a metric unit for distance?
A. centimeters
B. miles
C. feet
D. kilograms
Answer:
A centimeters.
Step-by-step explanation:
Cost of a microscope: $149.95
Markup: 30%
Answer:
194.935
Step-by-step explanation:
149.95×30%=44.985
149.95+44.985=194.935 new price
PLS HELP ASAP
The graph shown below expresses a radical function that can be written in the form f(x)= a(x + k)^1/n +C. What does the graph tell you about the value of k in this function?
Your elderly neighbor places a bag of corn kernels on your doorstep each morning. The first day, the bag contained 1 kernel of corn, the second day it contained 2 kernels
of corn, 4 kernels of corn the third day, and so on. Each kernel of corn weighs 0.06 grams. How many kernels of corn will be in the bag on the 22nd day?
Answer:
2^25
Step-by-step explanation:
Given
On first day bag contained 1 kernels
on second bag contained 2 kernels of corn
on third day bag contained 4 kernels of corn
on n th day bag contains 2n-1 kernels of corn
thus on 26 th day bag contains 2^26= 2^25=33,554,432 kernel
Each kernel weigh 0.07 gm
Therefore 2^25 kernels weighs = 2^25 x 0.07
Therefore on 26 th day 2^25 kernel weighs 23,488.1024 kg
2x-y+z=8
X+2y+2z-6=0
X-2y-z=1
Solve by linear equation
Answer:
68
Step-by-step explanation:
I did it and it was right
Write this in logarithm form. √x = y
Answer:
[tex] \log_x y = \dfrac{1}{2} [/tex]
Step-by-step explanation:
[tex] \sqrt{x} = y [/tex]
[tex] x^\frac{1}{2} = y [/tex]
[tex] \log_x y = \dfrac{1}{2} [/tex]
Find the x-intercept of the graph of the linear equation y = −1
2
x + 3.
x-intercept
Answer:
there is no x-intercept
Step-by-step explanation:
The graph of the equation y = -1 is a horizontal line that passes through (0, -1). The line is parallel to the x-axis. It never intersects the x-axis. There is no x-intercept.
the data represented by the following stem-and-leaf plot range from to .
4|578
5|14
6|023
7|69
A. 45,76
B. 48,79
C. 45,79
D. 48,76
Considering the stem-and-leaf plot, the range of the data-set is given as follows:
C. 45,79
What is an stem-and-leaf plot?The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:
4|5 = 45.
Considering the key format, the smallest value in this problem is 4|5 = 45, and the highest is 7|9 = 79, hence the range is given by:
C. 45,79
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