The principal amount was invested for 8 Years.
In the given question, it is stated that when $314 was invested as the Principal amount, it got an Interest of $175.84 at an interest rate of 7%. We have to find out the total period of time the principal amount was kept and got interested in in order to complete the interest amount of $175.84.
To calculate the Interest, we know that the formula for Simple Interest is:
=> S.I. = (P*R*T)/100, where P = Principal amount, R = Rate of Interest, and T is the Time period. Now, putting values in the formula we get:
=> S.I. = (P*R*T)/100
=> 175.84 = (314*7*T)/100
=> T = 17584/2198
=> T = 8
Hence, we get Invested Time for 8 years.
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how many squares whose sides are parallel to the axes and whose vertices have coordinates that are integers lie entirely within the region bounded by the line y
The cookie jar contains three types of coolcies: chocolate chip, sugar and oatmeal. There are 3 times as many chocolate chip as sugar cookies, and 12 more oatmeal than chocolate chip. If there are 54 cookies in the jar, how many oatmeal cookies are there?
By solving equations, we can conclude that there are 30 oatmeals in the jar.
What are equations?A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.So, a number of oatmeals are in the jar.
Let, sugar cookies be 'x'.Chocolate chips are '3x'.Oatmeals be '3x + 12'The total number of cookies is 54.
From the equation:
x + 3x + 3x + 12 = 54Now, solve for 'x' as follows:
x + 3x + 3x + 12 = 547x + 12 = 547x = 54 - 127x = 42x = 42/7x = 6Number of oatmeals when "x = 6':
3x + 123(6) + 1218 + 1230Therefore, by solving equations, we can conclude that there are 30 oatmeals in the jar.
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UGH please help i just need help help
The equation in slope-intercept form of the line passing through the given points is, y = (-1/2)x + 1
A table containing values of x and y is given:
x y
-2 2
0 1
2 0
4 -1
So the points on the line are:
(-2,2), (0,1), (2,0) and (4,-1)
The equation in slope-intercept form of a line is,
y = mx + c,
where m is the slope of the line and c, the y-intercept of the line.
So we need to find the slope and the y-intercept of the line from the given table values.
Let (x₁, y₁) = (-2,2) and (x₂, y₂) = (0,1).
Then slope of the line, m = (y₂-y₁)/(x₂-x₁)
= (1-2)/(0- -2)
= -1/2
The y-intercept of a line is the y-co-ordinate of the point which intersect the y-axis. I.e., it is the y-co-ordinate of the point at which x = 0.
From the table, when x = 0, y = 1.
Hence the y-intercept, c = 1.
So finally, the equation in slope-intercept form of the line is,
y = (-1/2)x + 1
The question is incomplete. Find the complete question below:
Find an equation in slope-intercept form of the line that passes through the given points.
x y
-2 2
0 1
2 0
4 -1
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more than 2x10 to the second power workers were involved in building the Taj Mahal. which number shows another way to express 2x10 2sec power
Answer:
Step-by-step explanation:
ewerwerer
What is the simplified value of the expression
O
O
use the graph to determine wither the function is even, oddPlease check photo
EXPLANATION:
Given;
We are given a graph of a function.
Required;
We are required to determine from the graph if the function is even, odd or neither even nor odd.
Solution:
To determine this from a graph, we should note that a function which is symmetrical with the y-axis is an even function. The graph which is symmetrical with the origin after a 180 degree rotation is an odd function.
Observe that if this graph is flipped from left to right (across the y-axis), it would not retain its original shape.
However, if the graph is rotated 180 degrees about the origin, it would retain its original shape.
Therefore, the graph depicted is an odd function
ANSWER:
The function is an ODD function
Question: Is it x = 6 or x = 58/9?
Problem: 3(x-5)+2(3x-1)=41
Solve X.
Answer:
58/9 = x
Step-by-step explanation:
3(x-5) + 2(3x-1) = 41
Expand:
(3x-15) + (6x-2) = 41
Simplify:
9x-17 = 41
9x = 58
x = 58/9
Hope that helps
I have a lot more but I just need help!
Answer:
v = 8
Step-by-step explanation:
[tex]2(2v + 9) = 50[/tex]
[tex]2v + 9 = 25[/tex]
[tex]2v = 16[/tex]
[tex]v = 8[/tex]
Simplify: 10x-5y+2x-3y
Answer: 12x-8y
- Hope this helped.
Answer:
12x-8y
Step-by-step explanation:
combine 10x and 2x
the combine (-5y) and (-3y)
4. If 24 cans of soup will feed 72 people, how many cans are
needed to serve 39 people?
Answer:
24 cans=72 people
1 people = 24÷72 cans
39 people = 24÷72×39 cans
=13 cans
May you guys/girls please help me I have to submit this before mid night and I do not fail because my parents will get me , so may y'all please help me out!?
Answer:
Answer down below!
Step-by-step explanation:
Let's start off by finding a point in the graph where we can start off on
This point that we can use it (0,-3)
From there, we use rise/run to find the slope
We go up 1 and over 1
Thus, our slope is 1!
4. What does the ordered pair (0, 0) represent in this situation?
Solve for x
x+5=15
D
B
A
The value of x in the given figure is 10.
What is Pythagoras' Theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a fundamental relationship between a right triangle's three sides in Euclidean geometry.According to this statement, the areas of the squares on the other two sides add to the area of the square whose side is the hypotenuse.In the given triangle,
∠ADC = ∠BDC = 90°
Hence the triangles ΔACD and ΔBCD are right-angle triangles. Thus we can apply Pythagoras' theorem in both triangles.
So in ΔACD,
CB² = BD² + DC²
And in ΔBCD,
CA² = AD²+ DC²
But, CA = 15 and CB = x + 5
So, (x + 5)² = BD² + DC²
15² = AD² + DC²
⇒225 = AD² + DC²
Here, BD = AD as given in the figure
Replacing BD with AD in the first equation we get,
(x + 5)² = AD² + DC²
Now, equate the values of AD² + DC² to obtain the value of x,
(x + 5)² = 225
⇒ x² + 25 + 10x = 225
⇒ x² + 10x - 200 = 0
⇒ x² + 20x - 10x - 200 = 0
⇒x(x + 20) - 10(x + 20) = 0
⇒(x + 20)(x - 10) = 0
Thus x = -20, 10
Hence the value of x is 10.
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What is the x intercept of 5x + 4y = -40
O (0,-8)
O (-8,0)
O (-10,0)
O (0, -10)
Answer: the answer is (0,-8)
What is the product of 54 and 2.2*10^6 expressed in scientific notation
The product of 54 and 2.2*10^6 expressed in scientific notation 1.188 x 10⁸
Formulate the following given the conditions: 54 × 2.2 × 106
Incorporate and multiply: (54 x 2.2) = 106
Determine the quotient or product:
118.8 × 106
Write the amount in scientific notation as follows: 1.188 108
1.188 108 written in scientific notation
Solution: 1.188 x 10⁸
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Solve the quadratic equation x2 + 3x = 40 using the quadratic formula.
A)
x = –8, x = 5
B)
x = 5, x = 8
C)
x = –5, x = 8
D)
x = –8, x = –5
After solving the quadratic equation x² + 3x = 40 using the quadratic formula, (A) x = –8, x = 5
We can solve this quadratic formula by following a few steps.
The given equation is,
x² + 3x =40
Let's subtract 40 from both sides,
x² + 3x - 40 =40 - 40
Or, x² + 3x - 40 = 0
Now, we have to find a suitable pair of factors of -40 which is capable to generate +3 ( coefficient of x ).
The required pair is 8 and -5, and ( 8 - 5 ) = 3
[ -40 = 8 × -5 ]
Therefore, x² + 3x - 40 = 0
Or, x² + ( 8 - 5 )x - 40 = 0
Or, x² + 8x - 5x - 40 = 0
Or, x ( x + 8 ) - 5 ( x + 8 ) = 0 [ taking x and 5 as common ]
Or, ( x + 8 ) ( x - 5 ) = 0 [ taking ( x + 8 ) as common ]
If the multiplication or product of two or more terms is zero, then we can write each term as zero.
Hence we can write,( x + 8 ) = 0
Or, x = -8 ( by subtracting 8 from both sides )
Again we can write,( x - 5 ) = 0
Or, x = 5 ( by adding +5 with both sides )
Now, we can conclude that x = -8 and 5.
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Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
This is
20, 10, 5, …
This is sequence and the is equal to .
The given series is a geometric sequence with a common ratio of 1/2 it is also written as 0.5.
What is geometric sequence?A geometric progression, also known as a geometric sequence, is a non-zero number sequence in which each term after the first is found by multiplying the previous one by a fixed, non-zero number known as the common ratio.
Number sequences are groups of numbers that adhere to a pattern or rule. A geometric sequence is one in which the rule is to multiply or divide by a specific number each time.
We have,
20, 10, 5, …
The distinction between consecutive terms is:
10 - 20 = -10
5 - 10 = -5
Since -10 ≠ -5, therefore the given series has no standard difference, which means the given sequence is not arithmetic.
The ratio between consecutive terms is:
10/20 = 1/2
5/10 = 1/2
The given series has a common ratio of 1/2, which means the given sequence is geometric. it is also written as 0.5.
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Regarding the search-and-replace features provided by the find and replace dialog box, what is not true?.
You cannot replace a type of formatting inside a cell with a different type of formatting.
Your search string is treated as a pattern by the dialog box, which then returns all records that do. Consider the case where you have a datasheet (a table or a query result) with details on clients, vendors, goods, and order dates. The find operation returns all occurrences of "mar" when you perform a search, along with any additional entries that meet the pattern you supplied.
The dialog box doesn't scan the full database; it simply searches one table at a time. You can search the table that supports a form if the dialog box is opened from within one.
For some features provided by the Find and Replace dialog box the search and replace feature can't accept the following condition.
That a user cannot replace a type of formatting inside a cell with a different type of formatting.
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In the diagram below, the three lines intersect in the same point,
forming six numbered angles
Answer:
A , B, D, F
Step-by-step explanation:
A) ∠1 ≅ ∠ 4 {Vertically opposite angles are congruent}
B) m∠2 + ∠4 + ∠6 = 180° {Straight line angles}
∠6 ≅ ∠3
⇒ ∠2 + ∠4 + ∠3 = 180°
D) ∠2 + ∠3 + ∠4 = 180° {Straight line angles}
f) ∠2 + ∠3 = ∠5 + ∠6 {Vertically opposite angles}
Which of the following statements best describes a survey question?
A question you will ask the people in your sample.
A question designed to collect a single datum.
A multiple choice question.
A question designed to obtain customer feedback.
Answer:
A question you will ask the people in your sample.
if anyone knows please help me on this
Answer:
d 138
Step-by-step explanation:
<5 is vertical to <2, so they are congruent.
<2 is corresponding to the 138° angle, so they are congruent.
m<5 = m<2 = 138°
Answer: d 138
Help I tried solving this a billion times!!!!!!!!!!
3(5-x)-2(5+x)=3(x+1) solve for x
Primarily use the Distributive Property to solve this equation.
3(5 - x) - 2(5 + x) = 3(x + 1)
Distribute the outer terms.
3(5) + 3(-x) - 2(5) - 2(x) = 3(x) + 3(1)
15 - 3x - 10 - 2x = 3x + 3
-3x - 2x + 15 - 10 = 3x + 3
-5x + 5 = 3x + 3
Now, isolate all x terms.
-5x + 5x + 5 = 3x + 5x + 3
5 = 8x + 3
5 - 3 = 8x + 3 - 3
2 = 8x
2/8 = 8x/8
x = 1/4
-10 < 2 + x <-1 please help solve and graph :,(
Answer:
See below
Step-by-step explanation:
Given g(x)=2x+3 solve for x when g(x)=3
Answer:
x=0
Step-by-step explanation:
3=2x+3
Subtract 3 on both sides
0=2x
x=0
a rectangular tennis court has an area of 528 m^2. If the length is decreased by 1 m and the width is increased by 1 m, the area of the tennis court is increased by 16 m^2. Find the perimeter in metres. thanks
The perimeter of the rectangular tennis court is 96.7 m
How to solve an equationAn equation shows the relationship between two or more numbers and variables.
Let x represent the length and y represent the width. A rectangular tennis court has an area of 528 m², hence:
Area = length * width
528 = xy
y = 528/x
If the length is decreased by 1 m and the width is increased by 1 m, the area of the tennis court is increased by 16 m². Hence:
new area = new length * new width
528 + 16 = (x - 1)(y + 1)
xy + x - y + 1 = 544
x(528/x) + x - 528/x + 1 = 544
528 + x - 528/x + 1 = 544
multiplying through by x:
528x + x² - 528 + x = 544x
x² -15x - 528 = 0
x = 31.67, hence y = 528/31.67 = 16.67
Perimeter = 2(x + y) = 2(31.67 + 16.67)
Perimeter = 96.7 m
The perimeter is 96.7 m
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Please helppp immediately
A function is a relationship between inputs where each input is related to exactly one output.
The outputs are called the range
The range of the function:
R = {-1, 0, 3}
Option C is the correct answer.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
A function has an input and an output.
Example:
f(x) = x + 1
f(1) = 1 + 1 = 2
Input = domain = 1
Output = range = 2
We have,
Function:
y = x² - 1
The domain of a function = {-2, -1, 0, 1, 2 }
Let y = f(x)
x = -2, -1, 0, 1, 2.
f(-2) = 4 - 1 = 3
f(-1) = 1 - 1 = 0
f(0) = 0 - 1 = -1
f(1) = 1 - 1 = 0
f(2) = 4 - 1 = 3
Thus,
The range of the function:
R = {-1, 0, 3}
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Find the general form of an equation of the line through the point A that satisfies the given condition.
A( -4, 2)
a) parallel to the x-axis.
b) perpendicular to the x-axis.
The general form of equation a) y = 2, b) x = -4.
Here the point A = (-4,2)
a) we have to find the equation parallel to the x-axis
As a line should be parallel to x axis so it must pass from y-axis. As the coordinate of A is (-4, 2) so by this we get y = 2 and x = -4.
But we have to put the value of x as 0 and y = 2 then only we get an equation of a line parallel to x-axis.
So y = 2
which is parallel to x-axis
b) equation of a line perpendicular to the x-axis.
As a line should be perpendicular to x-axis, so line should pass form the x-axis and not with the y-axis. As point A is (-4. 2), so we have to take the value of x = -4 and y = 0. So we get an equation.
x = -4 is the general equation.
Therefore the general equation a) y =2 and b) x =-4.
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DONT IGNORE HELP PLEASE
Answer:
1500
Step-by-step explanation:
29 What is the length of a rectangle with width 10 in. and area 45 in.²?
Answer:
l=4.5
Step-by-step explanation:
The area of a rectangle is length times width.
Area = LW
L = length
W = width
L = Area / W
L = 45 / 10
L = 4.5
At what position on the number line is the red dot located?
Answer:
The red dot is between -7 and -8 on the number line so it has a fractional or decimal value. The number of equal parts from one whole number to the next whole number is the number in the denominator. The number of equal parts from -7 to the red dot is the number in the numerator.
Step-by-step explanation:
Answer:
pi/2
Step-by-step explanation:
sqrt(2) is around 1.4
sqrt(pi) is around 1.75
sqrt(4) is 2
So only option left is pi/2 which is around 1.57