Answer:
ok so im going give the equation to fiqure this along with the awnser,
the basic equation is A=P (1+R/N)N(T)
P= Principle (Starting amount)
R= Interest rate
N= Amount of time compounded PER YEAR
T= amount of years
Step-by-step explanation:
so this would be A=$7500 (1+ 0.055/12)12(3)
which come to A=$7500 (1.178948602)
which comes to a total of $8842.11
hope this helps
Final answer:
The balance of a savings account with an initial deposit of $7500 and an annual interest rate of 5.5%, compounded monthly, will be approximately $8863.52 after 3 years.
Explanation:
The question involves the concept of compound interest, more specifically how much the balance of a savings account with an initial deposit of $7500 and an annual interest rate of 5.5%, compounded monthly, will be in 3 years. To calculate this, we use the compound interest formula: A = P(1 + r/n)^(nt), where:
A = the amount of money accumulated after n years, including interest.P = the principal amount (the initial amount of money).r = the annual interest rate (decimal).n = the number of times that interest is compounded per year.t = the time the money is invested for, in years.For the given problem:
P = $7500r = 5.5% or 0.055 (as a decimal)n = 12 (since it's compounded monthly)t = 3 yearsWe can substitute the values into the formula:
A = 7500(1 + 0.055/12)^(12*3)
Calculating this out, we find:
A = 7500(1 + 0.0045833)³⁶
A = 7500(1.0045833)³⁶
A = 7500(1.1811360235)
A = $8863.52 (approximately)
Therefore, the approximate balance of the savings account after 3 years will be $8863.52.
Included side between
Answer:
side WA
Step-by-step explanation:
i put sw which was wrong its (side WA) 100% ☺☺☺
Two bottled waters and an order of cheese nachos costs $5.50.three bottled waters and two orders of cheese nachos costs $9.50
what does it ask for?
Answer: You might have messed up the question
Here is the answer based on your question
W (Bottled water) = 7/2$
N (Cheese Nachos) = -1/2$
Step-by-step explanation:
2W + 3N = $5.50
3W + 2N = $9.50
Find the common number and subtract them. In order to find isolate the water bottles or nachos. I will do water bottles
15 (2W + 3N = $5.50)
10 (3W + 2N = $9.50)
30w + 45N = $82.5
Minus
30W + 20N = $90
= 25N = -12.5
N = -1/2$
Substitute for N
3W + 2(-1/2) =9.5
3w -1 = 9.5
3w - 10.5
w = 7/2$
find the value of sin100.sin120.sin140.sin160
The value of [tex]sin100.sin120.sin140.sin160[/tex] is [tex]0.1875[/tex]
Step-by-step explanation:
To find the value of [tex]sin100.sin120.sin140.sin160[/tex], let us find the value of each angle.
The value of [tex]sin100=0.9848[/tex]
The value of [tex]sin120=\frac{\sqrt{3} }{2}[/tex]
The value of [tex]sin140=0.6428[/tex]
The value of [tex]sin160=0.3420[/tex]
Substituting the values of sin, we get,
[tex]sin100.sin120.sin140.sin160=0.9848*\frac{\sqrt{3} }{2} *0.6428*0.3420[/tex]
Multiplying the values of sin, we get,
[tex]sin100.sin120.sin140.sin160=0.1875[/tex]
Thus, the value of [tex]sin100.sin120.sin140.sin160[/tex] is [tex]0.1875[/tex]
21 = 3x what does equally
Answer:
The x equal 7
Answer:
X = 7
Step-by-step explanation:
21 = 3x
x = 21/3
= 7
I’m not sure on how are you suppose to graph this without knowing what the x’s are and a calculator?
Answer:
The answer is shown in the plotted graph attached with the answer.
Step-by-step explanation:
i) Let y = f(x)
ii) According to the first equation we will consider x = -6, -5, -4, -3, -2, -1, 0, and
1
Therefore x and y = x + 4 for -6 ≤ x < 2
-6 -2 -5 -1 -4 0 -3 1 -2 2 -1 3 0 4 1 5iii) y = 6 when x = 2 is the second equation given for the graph
iv) x y = -x + 2 for x > 2 is the third equation given
3 -1 4 -2 5 -3 6 -4Two sides of a triangle have the same length. The third side measures 4 m less than twice the common length. The perimeter of the triangle is 20 m. What are the lengths of the three sides?
The lengths of the sides of the triangle are 6 m, 6 m, and 8 m.
What is the perimeter of a triangle?The perimeter of a triangle is defined as the addition of the lengths of the triangle's three sides.
Let the length of the first side and 2nd side are x,
Two sides of a triangle have the same length.
The third side measures 4 m less than twice the common length.
So the length of the third side = 2x - 4
Given that the perimeter of a triangle is 20 m
Since the perimeter of a triangle is the addition of the lengths of the triangle's three sides.
So the perimeter of a triangle = sum of all sides
⇒ x + x + 2x - 4 = 20
⇒ 4x = 24
⇒ x = 6
So the length of the third side = 2(6) - 4 = 8
Hence, the lengths of the sides of the triangle are 6 m, 6 m, and 8 m.
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Final answer:
To find the lengths of the triangle's sides, we establish a variable x for the two identical sides. The equation 4x - 4 = 20 is solved to give x = 6. Thus, the triangle has sides of 6 meters, 6 meters, and 8 meters.
Explanation:
The question is asking to determine the lengths of the three sides of a triangle when two of the sides have the same length, and the third side is 4 meters shorter than twice the length of the other two sides. Additionally, it is given that the perimeter of the triangle is 20 meters.
Let's denote the common length of the two sides as x meters. Hence, the length of the third side would be 2x - 4 meters. Since the perimeter of the triangle is the sum of its sides, we have the following equation:
x + x + (2x - 4) = 20
This simplifies to:
4x - 4 = 20
Adding 4 to both sides gives:
4x = 24
Dividing by 4 gives:
x = 6
Therefore, the lengths of the two identical sides of the triangle are 6 meters each, and the length of the third side is 2(6) - 4 = 8 meters.
The population of austin, texas in 1990 was 472,000 people. The population in 1980 was 346,000 people.
Answer:
SOmeOne HelP Me WiTh ThIs QuEsTioN pLz
Step-by-step explanation:
The rate of increase in population is r = 12,600 people/year.
We want to find the rate of change in the population of Austin, Texas in the years between 1980 and 1990.
We will assume that this increase in population is modelled with a linear equation, remember that a general linear equation is y = ax + b.
Where the rate of change, or slope, is a.
What is a slope formula?We know that if a line passes through two points (x₁, y₁) and (x₂, y₂) the slope is given by the formula: m=(y₂-y₁)/(x₂-x₁).
For this case we have two points, these are:
(1980, 346,000)
(1990, 472,000)
Then the slope or rate of change is (472,000-346,000)/(1990-1980)
=12,6000/10
=12,600
Therefore, the rate of increase in population is r = 12,600 people/year.
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The population of Austin, Texas in 1980 was 346,000 people. The population in 1990 was 472,000 people. What is the rate of change of the population with respect to the year for this function?
-2x+9=9 solved y substitute
Answer:
x=0
Step-by-step explanation:
-2x+9=9
-2x=9-9
-2x=0
x=0/-2
x=0
How many points of intersection are there between line A and line B if they contain the points listed?
Line A: (2,8) and (-2,-4)
Line B: (4, 10) and (-3, -11)
A.)zero
B.)one
C.)two
D.)infinite
Answer:
A.) zero
Step-by-step explanation:
A graph shows the two lines are parallel. Each has a slope of 3. Line A has a y-intercept of +2; Line B has a y-intercept of -2.
There are zero points of intersection.
PLEASE HELP ME ...........Julie was looking at the architect's blueprint of her house. The scale on blueprint was 1/4 inch = 1 foot. On the blueprint, what are the dimensions of her bedroom if the actual dimensions of her bedroom are 12 feet by 16 feet?
Answer:
On the blueprint the dimensions are 48 inches by 64 inches.
Step-by-step explanation:
Given:
The scale on blueprint was 1/4 inch = 1 foot.
The actual dimensions of her bedroom are 12 feet by 16 feet.
Now, to find the dimensions on the blueprint.
Let the dimensions on the blueprint be [tex]x[/tex] by [tex]y.[/tex]
As, given the scale on blueprint:
[tex]\frac{1}{4}\ inch=1\ foot[/tex]
So, [tex]\frac{1}{4}\ inch[/tex] is equivalent to 1 foot.
Thus, [tex]x[/tex] is equivalent to 12 feet.
And, [tex]y[/tex] is equivalent to 16 feet.
Now, solving by cross multiplication method:
[tex]\frac{\frac{1}{4}}{1} = \frac{x}{12}[/tex]
[tex]\frac{4}{1} =\frac{x}{12}[/tex]
By cross multiplying we get:
[tex]48=x[/tex]
[tex]x=48\ inches.[/tex]
Now, again:
[tex]\frac{\frac{1}{4}}{1} =\frac{y}{16}[/tex]
[tex]\frac{4}{1} =\frac{y}{16}[/tex]
By cross multiplying we get:
[tex]64=y[/tex]
[tex]y=64\ inches.[/tex]
Therefore, on the blueprint the dimensions are 48 inches by 64 inches.
Answer:
Step-by-step explanation:
48 and 64
Add the two expressions
6q + 1 and q + 11
Addition of 6q + 1 and q + 11 is 7q + 12
Solution:
Given that, we have to add the given two expressions
Given expressions are:
6q + 1 and q + 11
We have to add both the expressions
Addition of 6q + 1 and q + 11 = 6q + 1 + q + 11
Add the coefficients of same variable. Here "q" is present in two terms
Therefore, add 6q and q
Similarly, add the constants 1 and 11
Thus finally addition is done as:
[tex]6q + 1 + q + 11 = 7q +12[/tex]
Thus addition of 6q + 1 and q + 11 is 7q + 12
Suppose you and some friends are going to the movies. The amount of
money you spend for tickets varies directly with the number of people buying
tickets. If you spend $28 for four tickets, what is the constant of variation?
Answers:
1
4
7
28
Answer:
money spent = number of people * price of 1 ticket (direst variation)
28 = 4 * price of a ticket
so price of one ticket = 28/4 = 7
Constant of variation is 7
we might write it as m = 7n
Step-by-step explanation:
okay this is my last question for the day please answer its about to be 11pm and thats not healthy for somebody my age to stay up this long
Step 1) Place the non-pencil part of the compass at point W and the pencil part at point X. Draw a circle. This circle has a radius of WX.
Step 2) Keep the compass the same width, place the non-pencil part at point X and the pencil part at point W. Draw a circle. This circle has the same radius.
Step 3) The two circles intersect at two other points, A and B. One point is above WX and the other is below. Connecting AB forms the perpendicular bisector.
See the diagram below.
Macy doesn’t have any money in her bank account, but she saves $12.50 each week. Robby has $20 in his bank account, and he saves $7.50 each week. After how many weeks will Macy and Robby have the same amount in their accounts?
After 4 weeks, Macy and Robby will have same amount in their accounts.
Step-by-step explanation:
Given,
Amount saved by Macy each week = $12.50
Let,
x be the number of weeks.
M(x) = 12.50x
Amount saved by Robby each week = $7.50
Amount Robby already have = $20
R(x) = 7.50x + 20
For same amount;
M(x) = R(x)
[tex]12.50x=7.50x+20\\12.50x-7.50x=20\\5x=20[/tex]
Dividing both sides by 5
[tex]\frac{5x}{5}=\frac{20}{5}\\x=4[/tex]
After 4 weeks, Macy and Robby will have same amount in their accounts.
Keywords: function, division
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After 4weeks, Macy and Robby will have the same amount in their bank accounts.
To determine after how many weeks Macy and Robby will have the same amount in their bank accounts, we can set up an equation based on their weekly savings and initial amounts.
Let M(t) represent Macy's savings after t weeks, and R(t) represent Robby's savings after t weeks.
Macy's savings can be expressed as:
M(t) = 12.50t
Robby's saving can be expressed as:
R(t) = 20 + 7.50t
We want to find the number of weeks t such that M(t) = R(t)
Setting up the equation:
12.50t = 20 + 7.50t
To solve for t, first subtract 7.50t from both sides:
12.50t - 7.50t = 20
5t = 20
Next, divide both sides by 5 to solve for t
[tex]\[ t = \frac{20}{5} \][/tex]
t = 4
Therefore, after 4weeks, Macy and Robby will have the same amount in their bank accounts.
HELP PLS OR IM DEAD......
Answer: OPTION C.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
[tex]y=mx+b[/tex]
Whrere "m" is the slope and "b" is the y-intercept.
The line intersects the y-axis when [tex]x=0[/tex], therefore, you can identify from the given table that "b" is:
[tex]b=3[/tex]
Now, in order to find the slope of that line, you can follow these steps:
1. Substitute the value of "b" and the coordinates of any point from the table and into [tex]y=mx+b[/tex]
2. Solve for "m".
Then, choosing the point (1,1), you get:
[tex]1=m(1)+3\\\\1-3=m\\\\m=-2[/tex]
Therefore, you can determine that the equation of that line in Slope-Intercept form, is:
[tex]y=-2x+3[/tex]
its c are you already dead??
help me please-------------------------
Answer:
Based on the answers I can see, it'd be all of them.
Step-by-step explanation:
When rounding to the nearest hundred, you round down if the tens are 49 or smaller (e.g. 401 to 400). If the tens are 50 or bigger, you round up (e.g. 351 to 400). I hope that helps you.
4x + 5 - 5x x=12
PLEASE ANSWER THIS ASAPPPP
A recipe uses 5 cups of flour for every 2 cups of sugar. How much sugar is used for 1 cup of flour?
Answer:
0.4
Step-by-step explanation:
you have to divide 2 by 5 that gives you 0.4
Raphael Raphael Raphael Raphael
An isosceles triangle has (5 points) at least two congruent sides two sides that are perpendicular three sides with the same length two sides that are parallel
Answer:
at least two congruent sides
Step-by-step explanation:
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Steve said it does not matter which term is first and which term is second in a ratio, since ratios are different than fractions. Is he correct? Explain why or why not.
Ratio is a comparison of two values or two quantities.
Fraction is a another form of ratio.
The first term and the second term in the ratios are important.
It should not be changed.
The first quantity value is in first term and the second quantity value is in second term of the ratio.
Ratio and fractions are same.
Example:
The ratio of male to female in the school is 5 : 6.
5 represents male students and 6 represents female students.
The fraction form of the above ratio is [tex]\frac{5}{6} .[/tex]
Find x. For problems 2 and 3
Answer:
x = 4 and x = 7
Step-by-step explanation:
Given that the segment in the triangle is parallel to the third side of the triangle and intersects the 2 sides then it divides these 2 sides in proportion, thus
[tex]\frac{x}{12}[/tex] = [tex]\frac{x+1}{15}[/tex] ( cross- multiply )
15x = 12(x + 1) ← distribute
15x = 12x + 12 ( subtract 12x from both sides )
3x = 12 ( divide both sides by 3 )
x = 4
--------------------------------------------------------------------
[tex]\frac{8}{7}[/tex] = [tex]\frac{16}{2x}[/tex] ( cross- multiply )
16x = 112 ( divide both sides by 16 )
x = 7
Let f(x) = 2x + 5. The graph of f(x) is transformed into the graph of g(x) by a vertical
stretch of 3 and a translation of 4 units down. What is the equation for g(x)? Show
and explain your work.
The equation of g(x) is g(x) = 6x + 11
Step-by-step explanation:
Let us revise some transformation
A vertical stretching is the stretching of the graph away from the x-axis, If k > 1, the graph of y = k • f(x) is the graph of f(x) vertically stretched by multiplying each of its y-coordinates by kIf the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k∵ f(x) = 2x + 5
∵ The graph of f(x) is stretched vertically by scale factor 3
- That means multiply f(x) by 3
∴ The equation of the new graph is 3(2x + 5)
∵ The new graph is translated 4 units down
- That means subtract 4 from 3(2x + 5)
∴ The equation of g(x) is g(x) = 3(2x + 5) - 4
- Simplify the equation of g(x)
∴ g(x) = 3(2x) + 3(5) - 4
∴ g(x) = 6x + 15 - 4
- Add the like terms in the right hand side
∴ g(x) = 6x + 11
The equation of g(x) is g(x) = 6x + 11
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There is a 12-ft fence on one side of a rectangular garden. The gardener has 44 ft of fencing to the enclose the other three sides. What is the length of the gardens longer dimension?
Answer:
16 ft
Step-by-step explanation:
One of the other three sides is 12 ft. After that fence is subtracted from the total, there are 32 ft of fence left for the other two sides of the rectangle. That allows those sides to be 32 ft/2 = 16 ft long.
The rectangle can be 12 ft by 16 ft. The longer dimension is 16 ft.
The longer dimension of the rectangular garden is 16 feet. This is found by understanding the perimeter of a rectangle and subtracting the known side from the total fencing available before dividing the result by 2.
Explanation:The subject of this question is Mathematics, specifically related to the area and perimeter of rectangles. To find the length or the longer dimension of the rectangular garden, we need to understand the concept of the perimeter of a rectangle. The perimeter is the sum of all sides of the rectangle. Here, the problem provides us with one side of the rectangle to be 12 feet and the sum of the remaining three sides to be 44 feet.
Considering that the rectangular garden has two equal longer sides and two equal shorter sides, we can say the shorter side is 12 feet. Therefore, the combined length of the other two sides (the longer sides) must be 44-12=32 feet. Because these are equal, each one is 32/2 = 16 feet.
Therefore, the longer dimension of the rectangular garden is 16 feet.
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roger is buying a new pair of shoes for 25% off. if the original price of shoes was $90.00 , how much money is roger saving on shoes ???? please help ME hurry i have to finish my test !! i will give u 10 points .
Answer:
Answer: $67.50
Step-by-step explanation:
What are the solutions to the equation x2 = 64
Answer:
x=2
Step-by-step explanation:
x2=64
Divide 2 by 2 and do the same thing to the other side 64 divided by 2. Then that leaves x=32
Answer:
x = 32
Step-by-step explanation:
x2 = x × 2
so x = 32
beacuse 64 ÷ 2 = 32
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what percent of 80 is 48
Answer:
48 is 60% of 80.
Answer:
60%
Step-by-step explanation:
48: 80*100 =
(48*100) :80 =
4800:80 = 60
Drag the correct number of pieces to show how to find the area of the shaded figure in
two different ways. Pieces can be rotated to fit.
Answer:
Step-by-step explanation:
first shape = 2 pieces
Second shape 12 pieces
Answer:
First Scenario-
2 of the first ones
2 of the third ones
1 of the 5th ones
2 scenario-
2 of the 4th ones
Step-by-step explanation:
i got it right
The length of a rectangle is 3 1/6 cm longer than the width. The perimeter of the rectangle is 15 1/3 cm. What are the width and length of this rectangle?
Answer:
[tex]Width = 2\frac{1}{4}cm[/tex]
[tex]Length=5\frac{5}{12} cm[/tex]
Step-by-step explanation:
Data from the question;
Perimeter of a rectangle is [tex]15\frac{1}{3}[/tex] cm
Length is [tex]3\frac{1}{6}[/tex] cm longer than the width
We are supposed to determine the length and the with of the rectangle;
Assuming, the width x cm
Then, the length is [tex]x+3\frac{1}{6}[/tex] cm
We need to know that the perimeter of a rectangle is given by;
Perimeter = 2 ( length + width)
Therefore;
[tex]15\frac{1}{3}= 2 ( x + (x+3\frac{1}{6}))[/tex]
[tex]15\frac{1}{3}=2(2x+3\frac{1}{6})[/tex]
Thus;
[tex]15\frac{1}{3}=4x+6\frac{1}{3}[/tex]
[tex]4x=9\\x=2\frac{1}{4}[/tex]
Therefore;
[tex]Width = 2\frac{1}{4}cm[/tex]
[tex]Length = x + 3\frac{1}{6}[/tex]
[tex]=2\frac{1}{4}+3\frac{1}{6}[/tex]
[tex]=5\frac{5}{12} cm[/tex]
Therefore; the length is [tex]5\frac{5}{12}[/tex] cm while the width is [tex]2\frac{1}{4}[/tex] cm
How many times does 9 go into 143
Answer:
15.89
Step-by-step explanation:
You would divide 149 by 9 and get 15.88.However this 8 will keep repeating so you have to round it up.
#Please Help me out this#
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The GCD and L.C.M of two numbers are 16 and 96 respectively. If the average of
the numbers is 40 then find those numbers.
Answer:
The numbers are 32 , 48
Step-by-step explanation:
Average = 40
Sum of two numbers = 40 * 2 = 80
Let one number =x
Other number = 80 - x
Product of two numbers = GCD * LCM
x*(80-x) = 16*96
80x - x² = 1536
1536 + x² - 80x = 0
x² - 80x + 1536 = 0
x² - 48x - 32x + (-32) * (-48) = 0
x (x -48x) -32 (x -48) =0
(x - 48) ( x - 32) = 0
x - 48 = 0 ; x - 32 = 0
x = 48 ; x = 32