The final amount after a 13% decrease followed by a further 6% decrease from 943, rounded to two decimal places, is 771.19.
Explanation:To calculate the final amount after sequential percentage decreases, you first apply the initial percentage decrease to the original amount, then apply the second percentage decrease to the new, lower amount.
Here’s how you can do it step by step:
Calculate the first decrease of 13%: 943 × 0.13 = 122.59Subtract the first decrease from the original amount: 943 - 122.59 = 820.41Calculate the second decrease of 6% on the new amount: 820.41 × 0.06 = 49.2246Subtract the second decrease from the new amount: 820.41 - 49.2246 = 771.1854The calculator answer is 771.1854, but since we want the answer rounded to two decimal places, we must look at the third decimal place. Since the digit in the thousandths place (5) is greater than or equal to 5, we round up giving us a final answer of 771.19.
The sum of two numbers is 92. The difference of two numbers is 24. What are the numbers?
Answer:
a = 58
b = 34
Step-by-step explanation:
a + b = 92
a - b = 24
add
a + b + a - b = 92 + 24
2a = 116
a = 116 : 2
a = 58
b = 92 - 58
b = 34
Answer:
Step-by-step explanation:
Let the numbers be x and y
x + y = 92..........(1)
x - y = 24..........(2)
Adding (1) and (2)
2x = 116
x = 116/2
x = 58
From (1)... x + y = 92
58 + y = 92
y = 92 - 58
y = 34
Compute 5e2 - 4g + 7 where e = 4 and g = 6 ?
The value of expression is 63 when e = 4 and g = 6
Solution:
Given expression is:
[tex]5e^2-4g+7[/tex]
We have to solve the expression
Given that e = 4 and g = 6
Substitute e = 4 and g = 6 in given expression
[tex]\rightarrow 5(4)^2 -4(6) + 7\\\\Simplify\ the\ above\ equation\\\\\rightarrow 5(16) -24 + 7\\\\\rightarrow 80-24+7\\\\Simplify\\\\\rightarrow 56+7=63[/tex]
Thus value of expression is 63
Determine if the set is the empty set?
{ | < 10 and > 14}
Answer:
{x| x < 10 and x > 14} is an empty set.
there cannot be any intersection between the two ranges that is , x< 10 and x>14.
Step-by-step explanation:
x < 10 and x > 14 will lead to an empty set.
there cannot be any intersection between the two ranges that is , x< 10 and x>14.
Final answer:
The set with condition { | < 10 and > 14} is the empty set, as no elements can satisfy being both less than 10 and greater than 14 simultaneously.
Explanation:
The set being asked about is defined as { | < 10 and > 14}.
To determine if this set is the empty set, interpret the conditions placed upon the members of the set.
The description says that an element must be both less than 10 and greater than 14 at the same time, which is an impossible condition. Since no number can satisfy both conditions simultaneously, no elements can exist within this set, making it the empty set, often denoted by Ø.
Sarah has seven apples. Jace has three times as many apples as Sarah. How many apples does Jace have?
Answer:
21
Step-by-step explanation:
7x3=21
Answer:21
Step-by-step explanation:
You can get it srry if that was mean
What do I have to do with this question? r=?, d=5m, C=15.70m
you add them then divide ur answer by 2
McKenzie sells textbooks. She receives 7% on her first $1,000 in sales and 15% on the balance of her sales. How much would she earn in commission if her sales in one month were $14,500? Enter your answer as a dollar amount rounded to the nearest cent. Do not type a dollar sign symbol in the box.
The commission would be $2095.
Step-by-step explanation:
Given,
Commission on first $1000 = 7%
Amount of commission = 0.07*1000 = $70
Worth of sold items = $14,500
We will subtract $1000 from it.
Balance = 14500-1000 = $13500
Commission on balance = 15% = 0.15
Amount of commission = 0.15*13500
Amount of commission = $2025
Total commission = 70+2025 = $2095
The commission would be $2095.
Keywords: percentage, subtraction
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McKenzie would earn $2,095 in commission if her sales for the month were $14,500.
Explanation:To calculate McKenzie's commission, we need to determine the amount of sales that fall under the 7% rate and the amount that falls under the 15% rate. First, we calculate the commission on the first $1,000 in sales: 7% of $1,000 = $70. Next, we calculate the commission on the remaining sales: $14,500 - $1,000 = $13,500. 15% of $13,500 = $2,025.
Finally, we add the two commissions together to get the total commission: $70 + $2,025 = $2,095. So McKenzie would earn $2,095 in commission if her sales for the month were $14,500.
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HELP ME I ONLY HAVE 38 MINUTES LEFT I NEED TO GET THIS QUESTION DONE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A NUMBER OF Y Increased Increased BY 4 AND ITS AT LEAST IS 25
Answer:
y + 4 ≥ 25
if y is increased by 4 and is at least 25
1 1/2 as a fraction
Answer:
1.5
Step-by-step explanation:
divide 1/2 and add 1
Which table represents exponential growth? A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, 4, 6, 8. A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, 4, 8, 16. A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, 4, 7, 11. A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, 4, 6, 10.
Answer:
A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, 4, 8, 16.
Step-by-step explanation:
Let an exponential growth function is given by [tex]f(x) = a(b)^{x}[/tex]
So, [tex]f(1) = a(b)^{1}[/tex], [tex]f(2) = a(b)^{2}[/tex], [tex]f(x) = a(b)^{3}[/tex] and [tex]f(4) = a(b)^{4}[/tex]
Therefore, this series of values corresponding to the x-value 1, 2, 3, and 4 are in G.P. and the common ratio is b.
Now, from the given tables in the options only the second option i.e. a 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 2, 4, 8, 16 satisfies an exponential function.
Since, f(1) = 2, f(2) = 4, f(3) = 8 and f(4) = 16 are in G.P.(Answer)
Answer:
2
Step-by-step explanation:
3y + 2/5 = -1/5 what is y?
Answer:
3.6
Step-by-step explanation:
3y+2/5=-1/5
3y=-1/5-2/5
3y=-0.6
0.6/3=y
-3.6=y
y=-3.6
the\ function\ h\left(x\right)=\frac{1}{2}\left(x+3\right)^{2}+2.How\ is\ the\ graph\ of\ h\left(x\right)\ t\ r\ a\ nslated\ \ from\ the\ parent\ graph\ of\ a\ quadratic\ function,\ f\left(x\right)=x^{2}
The function h(x) is vertically stretched by a factor of [tex]\frac{1}{2}[/tex] and is shifted 3 units to the left and shifted 2 units up.
Explanation:
The parent function is [tex]f(x)=x^{2}[/tex]
The translated function is [tex]h(x)=\frac{1}{2}(x+3)^{2}+2[/tex]
By using the function transformation rules, the translated function h(x) is stretched vertically by a factor of [tex]\frac{1}{2}[/tex]
Also, from the function transformation rules, we know that, [tex]$f(x+b)$[/tex] shifts the function b units to the left.
Thus, the translated function h(x) is shifted 3 units to the left.
By using the function transformation rules, we know that, [tex]$f(x)+b$[/tex] shifts the function b units upward.
Thus, the translated function h(x) is shifted 2 units upwards.
Thus, the translated function h(x) is vertically stretched by a factor of [tex]\frac{1}{2}[/tex] and is shifted 3 units to the left and shifted 2 units up.
The polynomial 4x^3 - 6x^2 + 8x – 12 can be grouped in different ways to factor by
grouping.
Try it both ways:
(4x3 – 6x>) + (8x – 12)
(4x3 + 8x) + (- 6x2 – 12)?
Answer:
(4x3-6x) + (8x-12)= 2x
(4x3+8x) + (-6x2-12)= 2(2x-3) (x^2+2)
Step-by-step explanation:
All you have to do is simplify.
Answer:
A,B,E
Step-by-step explanation:
Did on edgen
Sara bought a car for $15700 with interest rate of 5 3/7% and the contract is for 7 years.
How much interest will Sara owe? How much will the payments be with a seven year agreement?
1. How much interest will Sara owe?
She will owe 5,966 dollars
2. How much will the payments be with a seven year agreement?
Sara will pay 21,666 dollars
Explanation:The simple interest formula is as follows:
[tex]A=P(1+rt) \\ \\ \\ Where: \\ \\ A: \ is \ the \ Final \ Investment \Value \\ \\ P: \ is \ the \ Principal \ amount \ of \ money \ to \ be \ invested \\ \\ r: \ is \ the \ rate \ of \ interest \\ \\ t: \ is \ \ Number \ of \ Time \ Periods[/tex]
First, converting r percent to r a decimal
[tex]r = (5 \frac{3}{7})\%=(5+\frac{3}{7}))\%=\frac{38}{7}\% \\ \\ r=\frac{38/7}{100}=\frac{19}{350} \ per \ year[/tex]
Solving our equation:
[tex]A=15700 (1+\frac{19}{350}\times 7) \\ \\ A=15700(\frac{69}{50}) \\ \\ \boxed{A=\$21,666}[/tex]
So Sara will owe in interest the following amount of money:
[tex]I:Interest \\ \\ \\ I=21,666-15,700 \\ \\ \boxed{I=\$5,966}[/tex]
Finally, answering the questions:
1. How much interest will Sara owe?
She will owe 5,966 dollars
2. How much will the payments be with a seven year agreement?
Sara will pay 21,666 dollars
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fine the equation of m= -5 (-1,3)
Answer:
The required equation to the given slope m=-5 and a point (-1,3) is 5x+y+2=0
Step-by-step explanation:
Given that the slope m=-5 and a point (-1,3)
Now we have to find an equation with the given slope and point :
Let [tex](x_1,y_1)[/tex] be the given point (-1,3)
The slope point formula is [tex]y-y_1=m(x-x_1)[/tex]
y-3=-5(x-(-1))
y-3=-5(x+1)
y-3=-5(x)-5(1) ( by using the distributive property a(x+y)=ax+ay here a=-5,x=x and y=1 )
y-3=-5x-5
y-3-(-5x-5)=-5x-5-(-5x-5) ( by using the distributive property a(x+y)=ax+ay here a=-1,x=-5x and y=-5)
y-3+5x+5=-5x-5+5x+5
y+2+5x=0
5x+y+2=0 which is the required equation
whats the root and vertex for y= 2x squared -5x-604
Vertex is calculated by -b/2a
So we have -(-5)/2(2)=5/4
The root is determined through the quadratic formula:
x=(-b+sqrt(b^2-4ac))/2a
x=(-(-5)+sqrt(-5^2-4(2)(-604)))/2(2)
x=(5+sqrt(25-4832))/4
x=(5+sqrt(-4807))/4
So the root is some imaginary number
Hope this helped!
Length 30.25
Volume7193.45
Width 14.5
What is the width?
Answer:
Height = 16.4 inches
Step-by-step explanation:
V = Length*Width*Height, so solving for the Height by dividing the Volume with the product of the Length and Width gives:
Height = Volume/Length*Width = 7193.45/(30.25*14.5) = 16.4 inches
the table shows transactions in a checking account
A) Find the total of the transactions for each month
B) Find the mean total for the four months
Answer:
i) number of transactions for the month of January = 4
number of transactions for the month of February = 4
number of transactions for the month of March = 4
number of transactions for the month of April = 4
ii) Mean of four months = -495.7 /4 = -123.93
Step-by-step explanation:
i) number of transactions for the month of January = 4
number of transactions for the month of February = 4
number of transactions for the month of March = 4
number of transactions for the month of April = 4
ii) January February March April
-38.50 250.00 -14.00 -86.80
126.30 -135.20 99.00 -570.00
429.40 35.50 -82.70 100.00
-265.00 -62.30 -1.50 -280.10
Total 252.20 88.20 0.80 -836.9
Total of four months = 252.2 + 88.20 + 0.80 - 836.9 = -495.7
Mean of four months = -495.7 /4 = -123.93
Answer:
1) number of transactions for the month of January = 252.20
number of transactions for the month of February = 88.00
number of transactions for the month of March = 1.70
number of transactions for the month of April = -836.90
2. mean total of the four months -123.93
Step-by-step explanation:
Step-by-step explanation:
Volunteers for a political campaign gave out 21/38 of their fliers. They gave out the remaining 612 fliers in another neighborhood. What is the total number of fliers they gave out
The volunteers gave 1368 fliers in total.
Step-by-step explanation:
Given,
Fliers given by volunteers in first neighborhood = [tex]\frac{21}{38}[/tex]
Remaining fliers = 612
Fraction of remaining fliers = [tex]1-\frac{21}{38}=\frac{38-21}{38}[/tex]
Fraction of remaining fliers = [tex]\frac{17}{38}[/tex]
Let,
x be the total fliers given by volunteers.
[tex]\frac{17}{38}\ of\ x=612[/tex]
[tex]\frac{17}{38}x=612[/tex]
Multiplying both sides by [tex]\frac{38}{17}[/tex]
[tex]\frac{38}{17}*\frac{17}{38}x=612*\frac{38}{17}\\\\x=\frac{23256}{17}\\\\x=1368[/tex]
The volunteers gave 1368 fliers in total.
Keywords: fraction, division
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Complete the table for the given Rule:y=x-3
Answer:
1 = 2 - 3. is this what you mean?
If the simple interest on $6 comma 000 for 2 years is $480, then what is the interest rate?
Answer:
4%
Step-by-step explanation:
To solve this problem we can use a modified version of the simple interest formula which is shown below:
[tex]r=\frac{I}{Pt}[/tex]
I = interest amount
P = principal amount
t = time (years)
Lets plug in the values:
[tex]r=\frac{480}{(6,000)(2)}[/tex]
[tex]r=0.04[/tex]
The last step is to convert 0.04 into a percent:
0.04(100) = 4
The interest rate is 4%.
Branliest for who explains
Answer:
The cross section would be a square.
Step-by-step explanation:
The 2 ends of the rectangular prism are squares while the other 4 sides are rectangles. A cross section would be perpendicular to the rectangles, making the cross section a square. The cross section would be parallel to the end squares.
Plzzzzzzzz help will give brainliest!!!!!!!!
[tex]A = 100\pi cm^{2}[/tex]
Step-by-step explanation:
Given that an engineer is planning to install a new water pipe.
The diameter of the circular pipe is
d = 20 cm
Let us find the radius (r)
radius = diameter / 2
r = 20 / 2 = 10 cm
The area of circle (A) is given as:
[tex]A = \pi r^{2}[/tex]
[tex]A = \pi 10^{2}[/tex]
[tex]A = 100\pi cm^{2}[/tex]
what is 6(5−8v)+12=−54
Answer: v = 2
Step-by-step explanation:
30-48v+12 = -54
-48v = -54-30-12
[tex]\frac{-48v}{-48}[/tex] = [tex]\frac{-96}{-48}[/tex]
v = 2
Answer:
2
Step-by-step explanation:
6(5−8v)+12=−54
Divide through by 6, we have
5 — 8v + 2 = — 9
Collect like terms
— 8v = —9 — 2 — 5
—8v = — 16
Divide both side by the coefficient of v i.e —8
v = — 16/ —8
v = 2
X Y
3 −2
6 −4
9 −6
12 −8
Determine whether the table represents a proportional relationship. If a proportional relationship exists, what is the constant ratio of y/x
A) yes; − [tex]\frac{2}{3}[/tex]
B) yes; − [tex]\frac{5}{3}[/tex]
C) yes; − [tex]\frac{2}{5}[/tex]
D) The table does not represent a proportional relationship.
Step-by-step explanation:
The given table:
X Y
3 − 2
6 − 4
9 − 6
12 − 8
To find, the constant ratio, [tex]\dfrac{y}{x}[/tex] = ?
The constant ratio, [tex]\dfrac{y}{x}[/tex] = [tex]\dfrac{-2}{3}[/tex],
The constant ratio, [tex]\dfrac{y}{x}[/tex] = [tex]\dfrac{-4}{6}[/tex] = [tex]\dfrac{-2}{3}[/tex],
The constant ratio, [tex]\dfrac{y}{x}[/tex] = [tex]\dfrac{-6}{9}[/tex] = [tex]\dfrac{-2}{3}[/tex] and
The constant ratio, [tex]\dfrac{y}{x}[/tex] = [tex]\dfrac{-6}{9}[/tex] = [tex]\dfrac{-2}{3}[/tex]
Thus, the required option A) yes; [tex]\dfrac{-2}{3}[/tex] is correct.
Can anyone help me with a math paper via direct message
7x5 answer plz i need help
Answer:
35
Step-by-step explanation:
7 x 7 = 35
Ingrid has $27 to buy oil paints for her painting class. Each tube of paint
costs $4. How many tubes can she buy? Do not include units in your answer.
Answer:
6
Step-by-step explanation:
27/4= 6 3/4
That doesn't work because we need whole numbers.
24/4=6
That is the solution. For $24 we buy 6 tubes for $4 each and we have $3 left over.
Answer:
6
Step-by-step explanation:
each tube of paint(one) = $ 4
(x) tube of paint = $ 27
Therefore,
x= (27/4)
= 6.75 tubes ; which is equivalent to 6 whole tube of paint
find the area of the regular polygon, 6 sides, 12 in, rounded to the nearest tenth
Answer:
Step-by-step explanation:
6 ×12=72 rounded to the nearest tenth 5 or more add one more 4 or less let it rest
72 it would be 70 because 2 is not more than 5
_
the temper ire of chicken soup is 192.7 F as it cools the temperature of the soup decreases 2.3 what is the temperature of the soup after 25 minutes
Final answer:
To find the new temperature of the soup after cooling for 25 minutes, multiply the rate of decrease, 2.3 F/min, by 25 minutes to find the total decrease in temperature, which is 57.5 F. Then subtract this from the initial temperature of 192.7 F to get the final temperature of 135.2 F.
Explanation:
The question is about calculating the new temperature of chicken soup after it cools for a certain period. The initial temperature of the soup is 192.7 F, and it's stated that the soup temperature decreases by 2.3 degrees per minute. Since it's asking for the temperature after 25 minutes, we need to multiply the rate of cooling by the number of minutes.
To calculate the new temperature:
Decrease in temperature = 2.3 F/min × 25 min = 57.5 F
The new temperature would then be:
Initial temperature - Decrease in temperature = 192.7 F - 57.5 F = 135.2 F.
Problem Solving Strategies for the Effects of Heat Transfer
Although the question does not require complex problem-solving strategies involving specific heat capacity or mass of the substance, it does simulate a simplified version of heat transfer where we only consider the overall change in temperature over time.
On a piece of paper, use a protractor and a ruler to construct △ABC with AB=6 cm , m∠A=80° , and m∠B=50° .
What is AC ?
3 cm
6 cm
9 cm
12 cm
Answer:
The measure of side AC is 6 cm.
Step-by-step explanation:
The information for the triangle ABC are:
AB = 6 cm
m∠A = 80°
m∠B = 50°
The sum of all angles of a triangle is 180°.
Compute the value of m∠C as follows:
m∠A + m∠B + m∠C = 180°
m∠C = 180° - 80° - 50°
= 50°
Thus, the angles, m∠C = m∠B.
Consider the triangle below.
If two angles of a triangle are equal or similar then that triangle is known as an isosceles triangle.
And in an isosceles triangle the sides corresponding to the equal angles are equal.
Then in this case as m∠C = m∠B then sides AC = AB.
The measure of the side AC is 6 cm.