Answer:
-46
Step-by-step explanation:
i hopethis helps you!!
guys please help!! tyyy
William opened two investment accounts. The first year, these investments, which totaled $2600, yielded $175 in simple interest. Part of the money was invested at 7.5% and the rest at 5%. How much was invested at each rate?
An amount of $1800 was invested at a rate of 7.5% and $800 was invested at a rate of 5%.
What is the percentage?The percentage is a ratio that can be expressed as a fraction of 100.
Given that, one part of $2600 was invested at a rate of 7.5% and the other part was invested at a rate of 5%, and the total yield was $175 simple interest.
Let $x was invested at 7.5%, then $(2600-x) was invested at 5%.
Since the yield is $175, it follows,
7.5% of x + 5% of (2600-x) = 175
7.5x/100 + 5(2600-x)/100 = 175
7.5x + 13000 - 5x = 17500
2.5x = 17500-13000
2.5x = 4500
x = 1800
Now, the value of (2600-x) is,
2600-1800
=800
Hence, $1800 was invested at a rate of 7.5% and $800 was invested at a rate of 5%.
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William invested $1800 at 7.5% and $800 at 5% on his both accounts.
What is simple interest?We know simple interest (SI) is given by SI = (p×r×t)/100, where
p = principle, r = rate in percentage, and t = time in years.
Given, William opened two investment accounts. In the first year, these investments, which totaled $2600,
Assuming he invested $x at 7.5% on the first account and $(2600 - x) at 5% in the second account and yielded $175 in simple interest.
∴ (x×7.5×1)/100 + {(2600 - x)×5×1}/100 = 175.
7.5x/100 + (13000 - 5x)/100 = 175.
7.5x + 13000 - 5x = 17500.
2.5x = 4500.
x = 1800. And (2600 - x) = (2600 - 1800) = 800.
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Given is a 30-60-90 Triangle. From the answer
choices below, select all that represent possible
side lengths.
○3√3; 3; 6
O 10√3; 15; 5√3
08:8√3:24
○ 5√2; 5√6; 10√/2
The represent possible side lengths of perimeter is 8;8√3;24.
What is perimeter?
perimeter is the distance of around the edge of a shape. Learn how to find of the perimeter by adding up to the side lenghth of various shapes.
The perimeter is the distance around the object.
Sol-as per the given question the angle value of the triangle is -
7 in
(x+4)in
(4x+1)in
Here,
X+4=4x+1
X=1
Perimeter:- 5+5+7 =
17 Inches.
Thus the perimeter of the triangle is 17 Inches.
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Evaluate the following algebraic expression:
w + 8.5 when w = 6.3
O 3.2
O 14.8
O 2.2
O 4.8
Answer:
14.8 is the answer to the question
Finding a percentage of a total amount
The function f(x) = 16.4x + 2 is used by a construction company to estimate the amount of fuel necessary for a truck to get to a job site depending on the miles from the office, x. The mathematical domain for the function is the set of real numbers.
How does the reasonable domain differ from the mathematical domain?
The reasonable domain is the set of positive real numbers.
The reasonable domain is the set of positive whole numbers.
The reasonable domain is the set of real numbers greater than 2.
The reasonable domain is the set of whole numbers greater than 2.
The domain of the function f(x) = 16.4·x + 2, where x is the distance from the office, which is (always) a positive number is the set of all real numbers but the reasonable domain differs from the mathematical domain in that; The reasonable domain is the set of positive real numbers
What is the domain and range of a function?The domain is the set of the possible inputs while the range is the set of the possible outputs of the function.
The mathematical domain is the set of the inputs that the function accepts
The function, f(x) = 16.4·x + 2, mathematically, is continuous for all real number value of x. that is the function has an output when the input, x, is a member of the set of real numbers which includes negative number.
The number of miles from the office, which is the distance from the office is (always) a positive number, because it is the distance between two places, and therefore is not a negative number.
The values of x are therefore positive numbers and the reasonable values of the variable, x, which is the distance from the office is the set of positive real numbers.
The option that indicates how the reasonable domain differ from the mathematical domain is therefore;
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At the store where you work, the prices on a clearance rack of merchandise are 0.62 of the original price. The sign on the clearance rack states that an additional 23% of the original price will be taken off at checkout. In total, what portion of the original price has been deducted to get the clearance price?
0.29
0.49
0.65
0.85
0.95
The portion of the original price that has been deducted to get the clearance price is D. 0.85
How to calculate the value?Given that the the prices on a clearance rack of merchandise are 0.62 of the original price and that the sign on the clearance rack states that an additional 23% of the original price will be taken off at checkout.
Therefore, the prices deducted will be:
= 0.62 + 23%
= 0.62 + 0.23
= 0.85
In conclusion, the correct option is D.
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(b) The graph of y=g(x) is shown. Draw the graph of y=g(1/2x)
The graph of the piece-wise function g(0.5x) is given by the second image at the end of the answer.
What is a piecewise-defined function?A piecewise-defined function is a function that has different definitions, depending on the input of the function.
In this problem, the function given by the first graph has two definitions, as follows:
To the left of x = 0.To the right of x = 0.The two functions are linear with intercept 0, hence the definitions are given as follows:
x < 0: y = 2x, as when x increases by 1, y increases by 2, hence slope of 2.x > 0: y = -0.5x, as when x increases by 2, y decreases by 1, hence slope of -0.5.After the transformation x -> 0.5x, the definitions are given as follows:
g(0.5x) = 2(0.5x) = x, x < 0.g(0.5x) = -0.5(0.5x) = -0.25x, x > 0.Missing InformationThe graph of g(x) is given by the first image at the end of the answer.
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In 1/6 of a day Bart read 4/7 of comic book .what rate can he read in a day
The rate at which Bart read is 24/7 book/day.
Given, Bart read 4/7 of comic book in 1/6 of a day.
We have to find the rate at which he read the book in a day.
Now, Bart read 4/7th of a comic book = 1/6th of a day
4/7 comic book = 1/6 day
1 day = (4 × 6)/7 comic book
1 day = 24/7 comic book
So, the rate at which Bart read is 24/7 book/day.
Hence, the rate at which Bart read is 24/7 book/day.
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9,70,499,2488,7469 complete the series
To complete the given series 9, 70 , 499, 2488, 7469 the next number is given by 7466.
As given in the question,
Given series is equal to :
9, 70 , 499, 2488, 7469
Simplify the given series to get the next sequence number we have:
Pattern of the given series is given by:
9
70 = 9 × 9 -11
= 70
499 = 70 × ( 9 -2 ) + ( 11 - 2 )
= 70 × 7 + 9
= 499
2488 = 499 × ( 7 - 2 ) - ( 9 - 2 )
= 499 × 5 - 7
= 2488
7469 = 2488 × ( 5 - 2 ) + ( 7 -2 )
= 2488 × 3 + 5
= 7469
Next number is :
7469 × ( 3 - 2 ) - ( 5- 2 )
= 7469 × 1 -3
= 7466
Therefore, to complete the given series 9, 70 , 499, 2488, 7469 the next number is given by 7466.
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Brooklyn scored 27 points in the basketball game. That was 12 points more than her friend, Cienna, scored. How many points did they score altogether? * 2 points
Answer:
42 points
Step-by-step explanation:
If Brooke scored 27 points, 12 less than that would be what Cienna scored. To find this, you would do 27 - 12. This is equal to 15, so Cienna scored 15 points.
To find how much they scored together, you would add both their scores. Brooke scored 27 and Cienna scored 15, so 27 + 15 = 42. Therefore, they scored 42 points together.
h(t)= t+ 1/t^2+2t+2.
Find derivative.
The derivative of given function is H’(t) = 3 – 2/t3
A derivative is a two-party contract whose value/price is derived from an underlying asset. Futures, options, forwards, and swaps are the most prevalent types
Given that H(t)= t+ 1/t^2+2t+2
We must calculate the derivative
H(t)= t+ 1/t^2+2t+2
H(t) = 3t + 1/t^2 + 2
H’(t) = d/dt(3t + 1/t^2 + 2)
H’(t) = d/dt(3t) + d/dt (1/t^2) + d/dt ( 2)
H’(t) = 3xd/dt(t) + d/dt (1/t^2) + d/dt ( 2)
H’(t) = 3xd/dt(t) + d/dt (t-2) + d/dt ( 2)
H’(t) = 3 – 2t-3
H’(t) = 3 – 2/t3
Therefore the derivative of the given function is H’(t) = 3 – 2/t3
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What is value of x?
Responses
12
12,
10
10,
9
9,
3
(MAKE BRAINLIEST IF I HELPED)
Answer:
x=10
Step-by-step explanation::
We can use Triangle angle bisector theorem and proportions to solve this problem. We put the small triangle side over the large triangle side
8 x+4
------ = ------------
12 2x+1
Using cross products
8(2x+1) = 12(x+4)
16x+8 =12x+48
Subtract 12x from each side
16x-12x +8 = 12x-12x+48
4x+8 = 48
Subtract 8 from each side
4x+8-8 = 48-8
4x = 40
Divide by 4
4x/4 = 40/4
x = 10
Answer:
x=10
Step-by-step explanation:
Students from the local high school are selling tickets to the town's annual carnival. Adult admission is $4.00 and child admission is $2.00. Four hours after the carnival opened its first day, 440 tickets had been sold totaling $1380. How many adults and how many children entered the carnival after it was opened?
The number of adults is 200 and the number of children that entered the carnival after it was opened is 240.
How to find the number tickets sold?Let a represent the number of adult tickets sold
Let c represent the number of children tickets sold
4a + 2c = 1380
Hence,
a + c = 440
Solving for c
4 (440-c) +2c = 1280
1760-4c +2c = 1280
-4c+2c = -480
-2c=-480
Divide both side by -2c
c = -480/-2
c = 240 (children tickets)
Solving for a
a =440-c
a =440 -240
a=200 (Adult tickets)
Therefore 240 and 200 tickets were sold.
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A house on the market was valued at $447,000. After several years, the value decreased by 17%. By how much did the house's value decrease in dollars? What is the current value of the house?
Decrease in value:
Current house value:
The rate that the house's value decrease in dollars, that is the current value of the house in terms of:
Decrease in value: $75,990Current house value: $371,010What causes a decline in market value?A stock's price rises if there is a greater demand (buyers) than supply (sellers) for it. On the other hand, if there was a bigger supply than there was a demand for a stock, the price would drop. It's simple to comprehend supply and demand.
The price decreases by:
= $447, 000 * (0.17)
=$75,990.
The current value is:
= 447, 000 - 75,990
= $371,010.
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Geometry Gina wilson pls help
For the given measures of angles of heptagon, the value of x is equal to 27° .
As given in the question,
Sum of all the interior angles of the heptagon is equal to 900.
Given measure of all the angles of the heptagon is given by :
135°+( 5x - 4 )° +( 7x - 64 )° + 120° +( 6x - 8 )° +( 4x + 15 )° + ( 3x + 31 )°= 900°
Arrange all the like terms of the given expression together we get,
⇒ ( 5x + 7x + 6x + 4x + 3x )° + ( 135 - 4 - 64 + 120 - 8 + 15 + 31 )° = 900°
⇒ 25x° + 225° = 900°
⇒ 25x° = 900° -225°
⇒ 25x° = 675°
⇒ x = 27°
Therefore, for the given measures of angles of heptagon, the value of x is equal to 27° .
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Use a table of values to graph the function ƒ(x) = –2 ∛x . Select the correct graph below.
The table of values for the function ƒ(x) = –2 ∛x is
x y
-8 4
-4 3.175
0 0
4 3.175
8 4
The correct graph option is attached
How to construct the table of values
Using the given expression, the table of values is calculated with the input values as
x = -8, -4, 0, 4, 8
for x = -8
ƒ(x) = –2 ∛-8 = 4
for x = -4
ƒ(x) = –2 ∛-8 = 3.175
for x = 0
ƒ(x) = –2 ∛-8 = 0
for x = 4
ƒ(x) = –2 ∛-8 = -3.175
for x = 8
ƒ(x) = –2 ∛8 = -4
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Find the quotient and remainder
using synthetic division for
x³ + 4x² + 5x +9
x + 2
Answer:
quotient: x^2+2x+1
remainder: 7
Step-by-step explanation:
Step-by-step explanation:
x³+4x²+5x+9= (x+2)(x²+2x+1)+7
Quotient= (x²+2x+1)
Remainder=7
At time t = 0, water begins to drip out of a pipe
nto an empty bucket. After 56 minutes, 8 inches
of water are in the bucket. What linear function
n the form y = mx + b represents the amount of
water in inches, w, in the bucket after t minutes?
Step-by-step explanation:
w = t/7
at the beginning we 0 inches of water.
after 56 minutes we have 8 inches of water.
that is a ratio of 56 minutes / 8 inches = 7/1 = 1 / 1/7.
so, in 1 minute we get 1/7 inch of water.
in 2 minutes 2×1/7 = 2/7.
in 3 minutes 3×1/7 = 3/7.
...
hence the equation.
Answer:
y = t/7Step-by-step explanation:
GivenStart time t = 0,Start level y = 0,Level of y = 8 in after t = 56 minSolutionFind the value of m and b in the equation y = mx + b.
The value of b = 0, since there is no level in the bucket initially.
Find the value of m, the slope:
8 = 56m,m = 8/56m = 1/7So the equation is:
y = (1/7)t + 0or
y = t/7Wendy solved a problem with her calculator, and she got this answer:
2.35E7
Which expressions are equivalent to the answer she got? Select all that apply.
2.35 7
395.8
23,500,000
16.45
2.357
2.35 x 10²
Expression is equal to = 2.35 x 10^7.
Given,
In the question:
Wendy solved a problem with her calculator, and she got this answer:
2.35E7
To find the which expressions are equivalent to the answer she got?
Now, According to the question;
The number is given as:
2.35E7
Expression is equal to = 2.35 x 10^7
Hence, Expression is equal to = 2.35 x 10^7.
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Which of the following are characteristics of the graph of the linear parent
function?
Check all that apply.
A. It goes through the origin.
B. It has a slope of 1.
C. It is a parabola.
D. It is a straight line.
The following are the characteristics of the graph of the linear parent function:
B. It has a slope of 1.
C. It is a parabola.
D. It is a straight line.
Lets explain the meaning of linear parent function
- A linear parent function is the equation y = x or f(x) = x
- A parent function is the simplest equation of a function
- It represented by a straight line passing through the origin point O
- The x-coordinate and the y-coordinate of any points lie on it are equal
- The slope of the line is 1 because the slope is the change of Δy/Δx
and Δy = Δx
The characteristics of the graph of the linear parent function are
∵ Linear parent function is f(x) = x and f(x) = y
∴ x = y
∵ The slope = Δy/Δx
∵ Δx = Δy because x = y
∴ The slope of it is 1
B. It has a slope of 1
∵ y = 0
∵ If x = 0 then y must = 0
∴ It goes through the origin
C. It goes through the origin
∵ It is a linear function
∵ All linear function represented by a straight line
∴ The graph of the linear parent function is a straight line
D. It is a straight line
Hence we get the right answers.
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Which number line represents the graph of x = 2?
Answer:
The 3rd one
x = 2 means how far is the line from 0
PLEASE GIVE BRAINLIEST THANK YOU!!!
Evaluate the equation:
6w = 180
W = ____
Answer:
30
Step-by-step explanation:
Divide each term in 6 w = 180 by 6 and simplify. w = 30
Answer:
w = 30
Step-by-step explanation:
Given equation,
→ 6w = 180
Now the value of w will be,
→ 6w = 180
→ w = 180/6
→ [ w = 30 ]
Hence, the value of w is 30.
Michelle purchases a tablet that costs
$85. The sales-tax rate in her city is 7%.
What is the total cost of the tablet?
Answer:
$90.95
Step-by-step explanation:
85 + .07(85)
85 + 5.95
90.95
Please help an 8th grader in needdddddddddddd!!!!!!!!
Answer:
y = (24/5)x + 24
Step-by-step explanation:
Knowing that the parent equation for linear functions is "y = mx+b", where "m = slope" and "b = y-intercept", we can create an equation for the line of best fit.
We also need to know the formula for using two points to find the slope is "(y2 - y1)/(x2 - x1)", where (x2, y2) is a point on the graph and (x1, y1) is a point on the graph.
Finding the slope:
I will be using points (5, 48) and (0, 24).
(24 - 48)/(0 - 5)
(-24)/(-5)
24/5 is the slope so "m = 24/5"
We can tell from the graph (0, 24) is the y-intercept, so "b = 24"
Final equation:
y = (24/5)x + 24
I need some help please
Check the picture below.
Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of x that support your
conclusion.
x - 4 = 0
There is only one solution for the equation x - 4 = 0 and the solution is 4.
Equation
An equation also known as the expression consists of variables, number and the mathematical operator that are combined using the equal sign.
Given,
Here we have the equation x - 4 = 0
Now, we need to Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of x that support your conclusion.
In order to find the solution of the equation, we have to equate the equation with zero and solve it accordingly,
So, the given equation is rewritten as,
x - 4 = 0
Now, we have to move the number to the other side to get the value x, then we get,
x = 4.
Therefore, the equation has only one solution that is 4.
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100 points for this There was a blizzard. Snow was falling at the rate of 3
inches per hour. If the snow keeps acclimating how long will 5 feet of snow to accumulate ?
Since there are 60 inches in 5 feet (5*12), we know that it will take 20 hours for 5 feet of snow to accumulate (60/3).
Hope this helps!
What is the solution to the following system?
[3x+10y-12z = 40
X-5y = 0
X-4z = 0
(8, 40, 32)
(10, 2, 3)
(20, 4, 5)
(40, 8, 10)
The solution of the system of equations is (2, 4, 5)
The given equations are :
3x+10y-12z = 40 equation(1)
x-5y = 0 equation (2)
x-4z = 0 equation(3)
From 2nd equation, x -5y = 0, 5y = x, y = x/5
From 3rd equation, x -4z = 0, 4z = x, z = x/4
Putting the values of y and z in equation (1), we get :
[tex]3x +10y -12z = 40\\\\3x +10*\frac{x}{5} -12*\frac{x}{4} = 40\\\\3x +2x -3x =40\\\\2x = 40\\\\x = \frac{40}{2} = 20[/tex]
Now, putting the value of x = 20 to evaluate y and z, we have,
y = 20/5 = 4
and z = 20/4 = 5
Hence, the solution of the system of equations is (2, 4, 5)
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Consider the following equation:
3|x+3|−12=0
Step 2 of 4: Using the definition of absolute values, convert the standard form of the given equation into two equations without absolute value signs.
The value of x in the following equation: 3|x+3|−12=0 is -7 and 1
The equation is 3|x+3|−12=0
The modulus function can be positive and negative
Considering it to be negative,
the equation is
3((-1)(x + 3) - 12
3(-x - 3) - 12
-3x - 9 - 12 = 0
3x + 21 = 0
3x = -21
x = -7
3(x + 3) - 12
3x + 9 - 12
3x - 3 = 0
3x = 3
x = 1
Therefore, the value of x in the following equation: 3|x+3|−12=0 is -7 and 1
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