On solving the provided question, we can say that - by formula of simple interest we have SI = [tex]2200 X 2 X 4/100 = > 17600/100 = > 176[/tex]
what is interest ?Multiplying the principal by the interest rate, time, and other factors yields simple interest. Simple return equals principle times interest times hours is the marketed formula. It is easiest to compute interest using this formula. A percentage of the principle balance is how interest is most commonly computed. For instance, he will only pay his portion of the 100% interest if he borrows $100 from a buddy and promises to pay it back with 5% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and when you lend money, you must charge interest. Most of the time, interest is expressed as a yearly percentage of the loan amount. The interest rate on the loan is known as this percentage.
here
principal, p = 2200
rate, r = 2%
time, t = 4 rs,
so SI = P X R X T/100
SI -
[tex]2200 X 2 X 4/100\\17600/100\\176[/tex]
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Bridgette has drawn a representation of a sphere with a
radius of 3 units, using the graphs of a circle and an ellipse,
as shown in the picture below on the left.
She needs to determine the equations of the graphs that
will generate the representation of the 3D sphere, as
shown in the picture below on the right.
What are possible equations of the circle and ellipse that
Bridgette can use to create her 3D drawing?
Answer:
C
Step-by-step explanation:
You want the equations of the circle and ellipse in the given figure.
EquationsThe standard form equation for an ellipse is ...
[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1[/tex]
where 'a' and 'b' are the semi-axes in the x-direction and y-direction, respectively.
You will notice that when a=b=r, the ellipse becomes a circle and the equation can be rewritten as ...
[tex]\dfrac{x^2}{r^2}+\dfrac{y^2}{r^2}=1\ \Longleftrightarrow\ x^2+y^2=r^2[/tex]
ApplicationHere, the radius is 3, the same as the semi-major axis in the x-direction (a=3). The ellipse axis in the y-direction appears to be about 1/3 that value, so b=1, and the equations of the circle and ellipse are ...
[tex]x^2+y^2=9\qquad\text{circle}\\\\\dfrac{x^2}{9}+\dfrac{y^2}{1}=1\qquad\text{ellipse}[/tex]
Find the surface area
Answer:
542.592
Step-by-step explanation:
3.14 x 8 squared + 3.14 x 8 x 13.6
A combination lock has four wheels in a row. Each wheel has the digits from 0 to 9 on it. How many different combinations are there?
(b)How many different combinations are there if we can only use each digit once?
Answer:
Step-by-step explanation:
a.10^4=10000
b.10×9×8×7=5040
Set V Is all do you need three digit numbers using the digits 1,2,3,4 and 5. Which set would be considered a subset V
The set that would be considered as subset V = {1,3,5} i.e set of odd numbers
What is a subset?A set A is a subset of another set B if all elements of the set A are elements of the set B. In other words, the set A is contained inside the set B. The subset relationship is denoted as A⊂B. A set is a collection of objects or elements, grouped in the curly braces, such as {a,b,c,d}. If a set A is a collection of even number and set B consists of {2,4,6}, then B is said to be a subset of A, denoted by B⊆A and A is the superset of B.
In the set 1,2,3,4,5 contains odd numbers and even numbers. But there are just 2 even numbers and 3 even numbers.
But the subset V of the numbers above must contain 3 numbers, this means that subset V will contain odd numbers from 1 to 5.
Therefore, This means that subset V = { 1,3,5}
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The function f(x)= -3x^3 + x^2 +2x rises as x grows very small.
A. True
B. False
False, the function f(x)=[tex]-3x^3 + x^2 +2x[/tex] does not rises as x grows very small.
How to determine the statementFirst, we need to know that functions are described as laws, expressions or rules that are used to show the relationship between two variables in an equation.
These variables are known as;
The independent variableThe dependent variableThe function f(x) =[tex]-3x^3 + x^2 + 2x[/tex] does not rise as x grows very small. When x approaches negative infinity, the dominant term is [tex]-3x^3[/tex], which becomes increasingly negative.
Therefore, the function decreases as x grows very small in the negative direction.
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What is the solution to the system of equations?
{x+y=4
{x=y=1
O (3, 1)
O (2, 2)
O (1/2, 3/2)
Answer:
hat are the solution(s) to the system of equations shown below? x2 + y2 = 5 y = 2x. 1) x = 1 and x = −1. 2) x = 1. 3) (1,2)
Step-by-step explanation:
Therefore , the solution of the given problem of linear equation comes out to be (2,2).
A linear equation is defined.A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.
Here,
=> y+ x = 3
=> y= 3-x
=> x= y = 1
=>3-x =1
=> x = 2
=> y = 2
(2,2)
Therefore , the solution of the given problem of linear equation comes out to be (2,2).
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Your are filling your rectangular hot tub with water. The base is 76 inches by 64 inches. The hot tub hole allons of water. If the hot tub is one-fourth full, what is the approximate height of the water? (5d- Zlinou are filling your rectangular hot tub with water. The base is 76 inches by 64 inches. The hot tub hold allons of water. If the hot tub is one-fourth full, what is the approximate height of the water?
Answer:
1216 inches
Step-by-step explanation:
First you multiply ¼ by 76 times 64
which gives you 1216 inches
Does anyone know?!!!!!
Answer:
units
Step-by-step explanation:
Answer:
Just units
Step-by-step explanation:
The circumference is neither squared nor cubed, and it has to be labeled.
50points! Select the correct answer.
The function is given by the table of values.
x: 1, 2, 3, 4
f(x): 5, 7, 11, 19,
If f(x) is shifted 5 units down to obtain g(x),
which table of values represents the function g?
A. x: -4, -3, -2, -1
g(x): 0 , 2, 6, 14
B. x: -4, -3, -2, -1
g(x): 5, 7, 11, 19
C. x: 1, 2, 3, 4
g(x): 0, 2, 6, 14
D. x: 1, 2, 3, 4
g(x): 10 , 12, 16, 24
Answer: B
Step-by-step explanation:
its B
PLEASE HELP ME 10 POINTS!!!!! PLEASE
What type of transformation moved the red triangle (rotation, dilation, reflection, translation. Describe the movement in details (how x and Y were changed), give evidence.
Answer:
Translation
Step-by-step explanation:
It only moved, without changing in size, rotating, or being reflected. so its been translated.
William is going to invest $400 and leave it in an account for 8 years. Assuming the interest is compounded continuously, what interest rate, to the nearest hundredth of a percent, would be required in order for William to end up with $460?
Answer:
1.75%
Step-by-step explanation:
help me pls i need it fastest for my math project !!!!!! please help
Part A
g(x) = 9.25x
g(8) = 9.25*8
g(8) = 74
He would make $74 before taxes if he worked 8 hours.
------------------------------------------------------
Part B
g(x) = 9.25x
g(14) = 9.25*14
g(14) = 129.50
He would make $129.50 before taxes if he worked 14 hours.
------------------------------------------------------
Part C
g(x) = 9.25x
g(27.5) = 9.25*27.5
g(27.5) = 254.375
g(27.5) = 254.38
He would make $254.38 before taxes if he worked 27.5 hours.
Answer:
Solution below.
Step-by-step explanation:
SolutionThis question is basically asking you to substitute corresponding x values to find g(x).
Given the function from the question:
g(x) = 9.25x where x is the work hours and g(x) is the wages.
Given x = 8,
g(8) = 9.25 * 8 = $74.00
Given x = 14,
g(14) = 9.25 * 14 = $129.50
Given x = 27.5,
g(27.5) = 9.25 * 27.5 = $254.38 (rounded off to nearest cent)
profits of calculess corporation this year were 140% of profits last year. if profits this year were $4900, what were profits last year.
The profits last year were $2041.66
What are percentages?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”
Given here, profits of calculess corporation this year were 140% of profits last year. if profits this year were $4900, then let the profit last year be x then we have 2.4x=4900
x=4900/2.4
x=2041.66
Hence, The profits last year were $2041.66
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AP TEST QUESTION 1
PLEASE HELP
ILL GIVE BRAINLIST ANSWER
IMAGE ABOVE
On solving the provided question we can say that - from the graphs n f (x) and g( x) are 1 and 5 .
What is graphs?Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph
by graphs of the function f (x) and g( x).
[tex]lim f ( x) + lim g ( x )\\= -1 + 2 = 1\\ f ( -1 ) + lim g ( x)\\= 3 + 2\\= 5[/tex]
from the graphs n f (x) and g( x) are 1 and 5 .
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Convert as I dictated
62.9 cg to dekagrams
Xxx
PLEASE HELP
DUE RN
WILL GIVE BRAINLIST
Answer:
0.0629 dg
Step-by-step explanation:
A centigram is a dekagram multiplied by 1000, so dividing 62.9 by 1,000 will get us 0.0629 dg.
8
TIME REMAININ
41:44
Which points are either in Quadrant ll or Quadrant IV of the coordinate plane? Check all that apply
(7.-10)
(0,2)
(8,9
(90).
Answer:
A
Step-by-step explanation:
sheeeeesh
Answer:(7.-10))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
In the table, Pattern A uses the rule "add 12" and Pattern B uses the rule "add 3." Pattern A 0 12 24 36 48 Pattern B 0 3 6 9 12 Which statement is true? Every term in Pattern B is 4 times the corresponding term in Pattern A. Every term in Pattern B is 13 the corresponding term in Pattern A. Every term in Pattern B is 9 less than the corresponding term in Pattern A. Every term in Pattern B is 14 the corresponding term in Pattern A.
Answer:
D. Every term in Pattern B is 1/4 the corresponding term in Pattern A.
Step-by-step explanation:
Given
[tex]A:0\ 12\ 24\ 36\ 48[/tex]
[tex]B: 0\ 3\ 6\ 9\ 12[/tex]
Required
The true statement
Option D is true, and the proof is as follows.
The interpretation of D is:
[tex]B = \frac{1}{4}A[/tex]
When [tex]A = 0[/tex]
[tex]B = \frac{1}{4}A = \frac{1}{4} * 0 = 0[/tex]
When [tex]A = 12[/tex]
[tex]B = \frac{1}{4}A = \frac{1}{4} * 12 = 3[/tex]
When [tex]A = 24[/tex]
[tex]B = \frac{1}{4}A = \frac{1}{4} * 24 = 6[/tex]
When [tex]A = 36[/tex]
[tex]B = \frac{1}{4}A = \frac{1}{4} * 36 = 9[/tex]
When[tex]A = 48[/tex]
[tex]B = \frac{1}{4}A = \frac{1}{4} * 48 = 12[/tex]
Compare the calculated values with the given values of B, we have:
[tex]B: 0\ 3\ 6\ 9\ 12[/tex] --- Calculated
[tex]B: 0\ 3\ 6\ 9\ 12[/tex] --- Given
Hence, (d) is correct
Answer:
d yw
Step-by-step explanation:
i took the test
If a house has decreased 35% since it was purchased and it currently values 117,000 what was purchase value
Step-by-step explanation:
that means the current value of $117,000 is 100 - 35 = 65% of the original price.
65% = $117,000
1% = 65%/65 = 117000/65 = $1,800
100% = 1%×100 = 1800×100 = $180,000
the original (100%) purchase value was $180,000.
need help asappppppp
Answer:
what do you need help with
Step-by-step explanation:
in order for me to answer you need to pit the problem
1. Which of the following is a composite number?
A.47
B. 43
C. 41
D.49
Answer:
D. 49
Step-by-step explanation:
write the product using exponents. 1/5 x 1/5 x 1/5 x 1/5 x 1/5
Answer: 1/5 with an exponent of 5.
hope this helps :)
The access code of a garage door consists of 4 digits (0 through 9). All digits can be repeated.
Find the number of possible access codes.
Find the probability of randomly selecting the correct access code on the first try.
Find the probability of not selecting the correct access code on the first try.
Answer:
1
Step-by-step explanation:
a) The number of possible access codes is 1000.
b) The probability of randomly selecting the correct access code on the first try is 1/1000
c) The probability of not selecting the correct access code on the first try is 999/1000.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
a) There are 10 digits from 0 to 9.
First digit= 10 ways
Second digit= 10 ways
Third Digit = 10 ways
Then, possible outcomes
= 10 x 10 x 10
= 1000
b) Exactly 1 out of 1000 codes will be correct
Favorable outcomes= 1
so, probability of randomly selecting the correct access code on the first try
= 1/1000
c) The probability of not selecting the correct access code on the first try.
=1- 1/1000
= 999/1000
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what do we mean by 16 1/4
Answer:
[tex] \sqrt[4]{16} [/tex]
Which cylinder will have a larger volume?
A. 3.5 in
8.5 in
________
B. 2.7 in.
11 in
Which ordered pair is not graphed below? Choose 1 answer
Answer:
D. (7, -7)
Step-by-step explanation:
The only coordinates on the coordinate plane are:
(1, 7 ), (-7, 1 ), and (-7, 7).
Question 4 of 10 A construction worker needs to put a rectangular window in the side of a building. He knows from measuring that the top and bottom of the window have a width of 5 feet and the sides have a length of 12 feet. He also measured one diagonal to be 13 feat. What is the length of the other diagonal? A. 12 feet B. 17 feet C5 feet D. 13 feet
Answer:
❝ D. 13 feet ❞
Step-by-step explanation:
Here,
Window is in the rectangular shape.Measure of its one diagonal is 13 feet.According to the properties of rectangle,
→ Diagonals of a rectangle are equal.
So, here the length of other diagonal will be 13 feet too.
D. 13 Feet
Step-by-step explanation:
Which sentence is incorrect?
A. -3 > -8
B. -4 > -7
C. -2/5=0.4
D. -5/2=0.4
Answer:
D
Step-by-step explanation:
What is the area of the shaded region?
Answer:
[tex] 21.5 \: {cm}^{2} [/tex]
Step-by-step explanation:
Area of the shaded region =Area of square with side 10 cm - Area of circle with radius 5 cm
[tex] = {10}^{2} - 3.14 {(5)}^{2} \\ = 100 - 3.14 \times 25 \\ = 100 - 78.5 \\ = 21.5 \: {cm}^{2} [/tex]
Help me solve solution to the system of equations.
Answer:
[tex](\frac{5}{3} ;\frac{4}{3} ).[/tex]
Step-by-step explanation:
[tex]\left \{ {{x+y=3} \atop {\frac{y+2}{2} =x}} \right. \ = > \ \left \{ {{x+y=3} \atop {y+2=2x}} \right. \ = > \ \left \{ {{x+y=3} \atop {2x-y=2}} \right. \ = > \ \left \{ {{x=\frac{5}{3} } \atop {y=\frac{4}{3} }} \right.[/tex]
-15 POINTS- only answer if you know, don’t guess.
A. Parallelogram
B. Trapezoid
C. Neither
Answer:
C, neither.
I've attached a picture of what it looks like when you plot it on a graph. As you can see, it is neither. So the answer is C
Hope this helped :)