You would add the sales tax amount to the cost of the meal to get the total cost. In this case, the sales tax amount is $1, so the total cost would be $26.
One situation that would fit into this scenario is calculating the total cost of a meal at a restaurant that costs $25. Firstly, to calculate the sales tax, you would need to convert the percentage of sales tax into a decimal.
In this case, the sales tax rate is 5%, so you would convert it to 0.05.Next, you would multiply the cost of the meal by the sales tax rate to calculate the sales tax amount.
To do this calculation without a calculator, you can use mental math or estimation techniques.For example, you could estimate 5% of $25 by breaking the 5% into a 1% and 4% calculation.
To calculate 1%, you would simply move the decimal point two places to the left, which gives you $0.25. Then, to calculate 4%, you could multiply $0.25 by 4, which equals $1.
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What formula would be used to find the future value? Return on balance 7.00% Monthly rate of return 0.583% Monthly payment -$200 Number of payments 120
Answer:
To calculate the future value (FV) of an investment with a given return on balance, monthly rate of return, monthly payment, and number of payments, you can use the future value of an ordinary annuity formula:
FV = P * ((1 + r)^n - 1) / r
Where:
FV = Future value
P = Monthly payment
r = Monthly rate of return (expressed as a decimal)
n = Number of payments
In this case, the return on balance and the monthly rate of return are provided separately. To incorporate the return on balance into the monthly rate of return, you can use the following formula:
Effective Monthly Rate of Return = (1 + Monthly Rate of Return) * (1 + Return on Balance) - 1
Let's calculate the effective monthly rate of return using the given values:
Return on Balance = 7.00% (expressed as a decimal) = 0.07
Monthly Rate of Return = 0.583% (expressed as a decimal) = 0.00583
Effective Monthly Rate of Return = (1 + 0.00583) * (1 + 0.07) - 1
= 1.00583 * 1.07 - 1
= 1.0761281 - 1
= 0.0761281
Now that we have the effective monthly rate of return, we can use the future value formula to calculate the future value:
FV = -$200 * ((1 + 0.0761281)^120 - 1) / 0.0761281
Please note that since the monthly payment is negative (-$200), it indicates that it is an outgoing payment or an investment with regular withdrawals.
Calculating the above formula will give you the future value of the investment.
I hope I was helpful
If an engine has a 16:7 propeller gear ratio, what is the RPM of the propeller when the engine is turning at 2,400 RPM?
Answer:
Step-by-step explanation:
76 RPMs
PLEASE HELP
Question 7 (5 points)
60°
a
30°
The triangle above has the following measures.
=10 yd
b=10√3 yd
Use the 30-60-90 Triangle Theorem to find the
length of the hypotenuse. Include correct units
Show all your work
A total of 605 tickets were sold for the school play. They were either adult tickets or student tickets. There were 55 more student tickets sold than adult tickets. How many adult tickets were sold?
Estimate then find the product 34•12
Answer:
I estimate it is around 340 because 34 times 10 is 340 the product of 34 times 12 is 408
Step-by-step explanation:
What is the sum of the interior angles of the polygon shown below?
1260° is the sum of all interior angles of the given polygon.
Generally speaking, the measure of the angle at the center of a regular polygon is equal to 360 degrees.
The sum of the interior angles in a polygon can be calculated using the formula:
Sum of interior angles = (n - 2) * 180 degrees
In this formula, "n" represents the number of sides or vertices of the polygon.
In the given problem the number of sides is 9.
Thus,
Sum of all interior angle = (9-2)*180
The sum of all interior angles = 1260°
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principal $45,687.23 annual interest rate 7.555% interest period monthly. What is the first period interest?
The interest rate for the first period is $287.22
Using the Simple Interest PrincipleTo obtain the first period interest, we use simple interest formula;
Simple Interest = Principal * Rate * Time
Given:
Principal = $45,687.23
Annual interest rate = 7.555%
Interest period = Monthly
Convert the annual interest rate to a monthly interest rate.
Monthly interest = Annual interest/ 12 = 7.555/12 = 0.6295%
First period interest:Interest = Principal * Monthly interest rate * Time
Since it's the first period, the time is 1 month:
Interest = $45,687.23 * 0.62958333% * 1
Interest = $45,687.23 * 0.0062958333
Interest ≈ $287.22
Therefore, the first period interest is $287.22.
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1. Identify the variable that is contained in the expression.
7y+2y² +3
7
x
y
3
The variable that is contained in the given expression is y. Therefore, option C is the correct answer.
The given expression is 7y+2y² +3.
In the given expression there are 3 terms, so it is called trinomial.
In the term 7y, y is the coefficient of 7.
In the term 2y², y² is the coefficient of 2.
3 is the constant term.
Therefore, option C is the correct answer.
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If your heart beats 48 times in 40 seconds, which proportion could be used to make the best estimate for the number of beats in 60 seconds? A. 48/40 = 60/x B. 40/60 = 48/x C. 48/40 = 60/x D. 48/60 = 40/x
Given statement solution :- The correct proportion to make the best estimate for the number of beats in 60 seconds is:
A. 48/40 = 60/x
To make the best estimate for the number of beats in 60 seconds, we need to find the proportion that relates the beats per second in the given scenario to the desired duration of 60 seconds.
Let's set up the proportion using the given information:
Heart beats per second (beats/sec) = 48 beats / 40 seconds
We want to find the number of beats in 60 seconds (x beats / 60 seconds).
The correct proportion would be:
48 beats / 40 seconds = x beats / 60 seconds
Therefore, the correct proportion to make the best estimate for the number of beats in 60 seconds is:
A. 48/40 = 60/x
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50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answer:
3/8 = (3 + AD)/20
8(3 + AD) = 60
24 + 8AD = 60
8AD = 36
A = 4 1/2
B is the correct answer.
The population of bees worldwide has been in decline. There are estimated to be 2,000,000,000 bees worldwide and each year there is estimated to be 10% less. How many bees worldwide will there be in 10 years?
ANSWER: 100% of 2000000000 is 2000000000
What is 100 Percent of 2000000000?
100 percent *2000000000
= (100/100)*2000000000
= (100*2000000000)/100
= 200000000000/100 = 2000000000
Now we have: 100 percent of 2000000000 = 2000000000
Question: What is 100 percent of 2000000000?
We need to determine 100% of 2000000000 now and the procedure explaining it as such
Step 1: In the given case Output Value is 2000000000.
Step 2: Let us consider the unknown value as x.
Step 3: Consider the output value of 2000000000 = 100%.
Step 4: In the Same way, x = 100%.
Step 5: On dividing the pair of simple equations we got the equation as under
2000000000 = 100% (1).
x = 100% (2).
(2000000000%)/(x%) = 100/100
Step 6: Reciprocal of both the sides results in the following equation
x%/2000000000% = 100/100
Step 7: Simplifying the above obtained equation further will tell what is 100% of 2000000000
x = 2000000000%
Therefore, 100% of 2000000000 is 2000000000
Please help. Any unnecessary answers will be reported.
You are in a competition that involves building card towers. The quickest person to reach 100 stories wins the competition. After reaching 5 stories of cards as shown in the picture below, you needed to use 40 cards.
How many cards will be necessary to build , in a similar way, a tower with 100 stories. Make sure you include work.
Answer:
To determine the number of cards necessary to build a tower with 100 stories, let's analyze the pattern observed in the given information.
From the information provided, we know that building 5 stories of cards required 40 cards. Now, let's examine the relationship between the number of stories and the number of cards used:
Number of stories: 5
Number of cards used: 40
To find the number of cards needed for 100 stories, we can calculate the ratio of the number of stories to the number of cards used for the 5-story tower and then apply that ratio to the target number of stories (100).
Ratio = Number of stories / Number of cards used
Ratio = 5 / 40
Now, we can use this ratio to calculate the number of cards needed for 100 stories:
Number of cards for 100 stories = Ratio * Number of stories
Number of cards for 100 stories = (5 / 40) * 100
Calculating the result:
Number of cards for 100 stories = (0.125) * 100
Number of cards for 100 stories = 12.5
Since it is not possible to use a fraction of a card, we need to round up to the nearest whole number. Therefore, we would need a minimum of 13 cards to build a tower with 100 stories using a similar pattern.
Please note that the actual number of cards required may vary depending on the specific construction technique and stability of the tower.
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answer: 127
Step-by-step explanation:
360 - 70 - 36 = 254
254/2 = 127
D = 127
HELPPPPPPPP!!!!!!!!!!!!! Answer this please
The surface area of the cuboid that has length = 4 yd, width = 2 yd and height = 3 yd is 44 square yards.
To find the surface area of a cuboid, we need to add up the area of all six faces. The formula for the surface area of a cuboid is:
Surface Area = 2lw + 2lh + 2wh
where l, w, and h represent the length, width, and height of the cuboid, respectively.
Substituting the given values, we get:
Surface Area = 2(4 x 2) + 2(4 x 3) + 2(2 x 3)
Surface Area = 8 + 24 + 12
Surface Area = 44
This means that there are 44 square yards of material needed to cover all six faces of the cuboid.
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The price of a computer is $999.00. The sales tax rate is 7%. What is the sales tax on this computer in dollars and cents?
The sales tax on the computer is $69.93.
How to determine the sales taxTo calculate the sales tax on the computer, we need to multiply the price of the computer by the sales tax rate. Here's how you can do it:
Price of the computer: $999.00
Sales tax rate: 7% (which can be expressed as 0.07)
Sales tax = Price of the computer * Sales tax rate
Sales tax = $999.00 * 0.07
To find the sales tax in dollars and cents, we can perform the calculation:
Sales tax = $999.00 * 0.07
Sales tax = $69.93
Therefore, the sales tax on the computer is $69.93.
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Linda is adding padding to all of the surfaces inside her attic for extra warmth in the winter.
We have that Linda's net and expression incorrect
With the Expression of the surface area of attic
45 (40 + 25 + 25) + 1/2 (40 x 15)
Hence, Surface area is,
X = 4050 + 600
X = 4650 feet²
Hence, The answer is No, Because Her expression for the triangles are incorrect;
1/2(40 x 15)
Instead of,
1/2 x 40 x 15
Hence, Linda's net and expression incorrect,
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Complete question is,Linda is adding padding to all of the surfaces inside her attic for extra warmth in the winter.
She needs to find the approximate surface area of the attic, including the walls, floor, and
ceiling. The attic is in the shape of a triangular prism. Linda draws the net and writes
the expression below to represent the surface area of the attic. Are Linda's net and
expression correct?
pls help it is due today
The property that should be used to simplify the expression 1/t⁻³ is [tex]\frac{1}{a^-m}[/tex] = [tex]a^m[/tex] (where a ≠ 0). Option A
How to identify the property to simplify the expression?In the given scenario or expression, this property implies that 1/t⁻³ = t³. The negative exponent in the denominator becomes a positive exponent when moved to the numerator.
Here is the step-by-step solution
1/t⁻³ = 1/(t⁻³)
1/(t⁻³) = (t⁻³)⁻¹
(t⁻³)⁻¹ = t⁽⁻³⁾ˣ⁽⁻¹⁾
t⁽⁻³⁾ˣ⁽⁻¹⁾ = t³
Therefore, the simplified expression is t³.
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Which of the following is the best estimate of the number of centimeters (cm) in 1 yard? (Note: 1 yard-3 feet; 1 foot-12 inches; 1 inch -2.54 cm)
..
36 cm
72 cm
90 cm
180 cm
CONTINUE
The best estimate of the number of centimeters (cm) in 1 yard is; Yard ⇒ feet ⇒ inches ⇒ centimeters
If we have to determine the number of centimeters in 1 yard, the best way is;
Here we convert yard to feet = 1 yard = 3 ft
Then, we convert ft to inches = 1 ft = 12 inches
3 ft = 3 × 12 = 36 inches
Now, we convert inches to centimeters = 1 inch = 2.54 cm
36 inches = 36 × 2.54 = 91.44 cm
Therefore, the best path is Yard to feet to inches to centimeters
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how much money deposited now will provide payment of Rs. 15000 at the end of each half year for 10 years, if interest is 16% compounded six-monthly
The amount of money that will produce Rs. 15000 at the end of 6 month for 10years at 16% is Rs. 3750
What is Compound interest?Compound interest is the interest you earn on interest.
For example, if you have $100 and it earns 5% interest each year, you'll have $105 at the end of the first year. At the end of the second year, you'll have $110.25.
Compound interest is expressed as;
A = P( 1+r/n) ^{nt}
where A is the amount
n is the number of time its compounded
t is time
A = 15000
r = 16/100 = 0.16
n = 6/12 = 0.5
t = 10 years
15000 = P( 1 + 0.16/0.5) ^{ 0.5× 10}
15000 = P( 1 + 0.32)⁵
15000 = P( 1.32)⁵
15000 = 4P
P = 15000/4
P = Rs. 3750
Therefore the amount that will be deposited to give Rs. 15000 is Rs. 3750.
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can someone please help me on this algebra 13 homework! PLS QUICK!
The function y=x+3 has the greatest y intercept.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The given function is y=x, it has y intercept which is zero
The given function is y=-x, it has y intercept which is zero
Function is y=x+3, it has y intercept which is three
Function is y=2x, it has y intercept which is zero
Hence, the function y=x+3 has the greatest y intercept.
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Solve the system of equations :-)
Thank you
When Grace opens and lays a shipping box out flat, she sees that the top and the bottom of the box
both measure 10 inches by 14 Inches, the sides of the box both measure 14 inches by 8 inches, and
the front and back of the box both measure 8 inches by 10 inches. What is the surface area of Grace's
strooing box?
The surface area of Grace's shipping box is 664 square inches.
We have,
The box can be divided into six rectangles, each of which represents the face of the box.
To find the surface area of the box, we need to find the area of each face and then add them all up.
The top and bottom of the box are both 10 inches by 14 inches, so the area of each of these faces is:
= 10 x 14
= 140 square inches
The sides of the box are both 14 inches by 8 inches, so the area of each of these faces is:
= 14 x 8
= 112 square inches
The front and back of the box are both 8 inches by 10 inches, so the area of each of these faces is:
8 x 10
= 80 square inches
To find the surface area of the whole box, we add up the areas of all six faces:
= 2(140) + 2(112) + 2(80)
= 280 + 224 + 160
= 664 square inches
Therefore,
The surface area of Grace's shipping box is 664 square inches.
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Please help with that question
The value of function f (α + β) is determined as (3√3 + 1)/3, (2√2 - 3)/3.
What is the value of function f (α + β)?The value of f (α + β) is calculated by applying the following formula as follows;
The given functions;
for α: x² + y² = 4
y is given as -1, the value of x is calculated as;
x² + (-1)² = 4
x² + 1 = 4
x² = 3
x = √3
α = (√3, - 1)
for β: x² + y² = 1
x is given as ¹/₃, the value of y is calculated as;
(¹/₃)² + y² = 1
¹/₉ + y² = 1
y² = 1 - ¹/₉
y² = ⁸/₉
y = √ (8/9)
y = 2√2/3
β = (¹/₃, 2√2/3)
The value of function f (α + β) is calculated as;
f(α + β) = (√3, - 1) + (¹/₃, 2√2/3)
f(α + β) = (3√3 + 1)/3, (2√2 - 3)/3
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Pls can someone help me?
I’m pretty sure the value of a->60
b-> 110
c->80
What do i write for the reasons of them tho? Pls help! thanks
The values of the angles a, b and c are 60°, 110° and 80° respectively.
Given is a figure we need to find the measure of the angles given,
a, b, c.
So,
70° + 50° + a = 180° [making linear pair angles]
120° + a = 180°
a = 60°
50° + a = b [corresponding angles between parallel lines]
b = 50° + 60°
b = 110°
a + 40° + ∠HFE = 180° [angle sum property of a triangle]
60° + 40° + ∠HFE = 180°
∠HFE = 80°
∠HFE = c [alternate angles between parallel lines]
c = 80°
Hence the values of the angles a, b and c are 60°, 110° and 80° respectively.
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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
1. The proportion is; x/4 = 12/18
2. The height of the mailbox is 2.7 feet
What is proportion?In mathematics, a proportion is an equation that states that two ratios are equal. It expresses the relationship between the quantities in terms of their relative sizes or magnitudes. Proportions are used in various areas of mathematics and real-life applications, such as ratios
We have;
Length of the mail box shadow = 4 feet
Length of the tree shadow = 18 feet
Height of the mail box = x
Height of the tree = 12 feet
Thus;
x/4 = 12/18
x = 4 * 12/18
x = 2.7 feet
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What is the missing step in solving the inequality 4(x-3) + 4 ≤ 10+ 6x?
1. The distributive property: 4x-12 + 4 ≤ 10+ 6x
2. Combine like terms: 4x -8 ≤ 10+ 6x
3. The addition property of inequality: 4x ≤ 18 + 6x
4. The subtraction property of inequality: -2x ≤ 18
5. The division property of inequality:
O x≤-9
O x≥-9
0 x≤ - 1/2
0 x>-1
The value of inequality : x≤-9
Given,
Inequality 4(x-3) + 4 ≤ 10+ 6x
Firstly,
The distributive property: 4x-12 + 4 ≤ 10+ 6x
Then,
Combine like terms: 4x -8 ≤ 10+ 6x
Then,
The addition property of inequality: 4x ≤ 18 + 6x
Then,
The subtraction property of inequality: -2x ≤ 18
Then,
The division property of inequality:
Divide both sides of inequality by 2,
So,
x≤-9
Hence after last step the value of x is less than or equal to -9 .
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Exam the following data set.
{8,19,11,20,2,14,17,9,15}
Which answer shows the five number summary that could be used to create a box plot for this data?
The five number summary of the data set for the box plot would be :
Minimum value: 2Q1 : 9Median : 14Q3 : 19Maximum value: 20How to find the five number summary ?First, order the numbers in ascending order:
2, 8, 9, 11, 14, 15, 17, 19, 20
The minimum is the smallest number which is 2. The maximum is the largest number which is 20.
The median is the number in the middle which is 19. The Q1 is the number in the middle of the first half of the numbers which is 9. The Q3 is the number in the middle of the second half which is 19.
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Answer:
min=2
1st quartile= 8.5
median=14
3rd quartile=18
max=20
Step-by-step explanation:
WhaYou is 1/5 divided by 2/6
Find m/ABC.
A. 81°
B. 86°
C. 47°
D. 49.5°
Α.
99°
B
D
94%
C
m/ABC=86° (because of the cyclic quadrilaterals). Hence, Option (B) is correct.
A cyclic quadrilateral is a four-sided polygon whose vertices all lie on a common circle.
The opposite angles of a cyclic quadrilateral have a total of 180°.
m/ABC + m/ADC = 180°
m/ABC + 94° = 180°
m/ABC = 180° - 94°
m/ABC = 86°
Similarly, one can find m/DCB
m/DAB + m/DCB = 180°
99° + m/DCB = 180°
m/DCB = 180° - 99°
m/DCB = 81°
Hence, m/ABC = 86°
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There are 15 ushers and 9 technicians helping at the Harper Middle School fall play.
The ratio of technicians to all the helpers at the Harper Middle School fall play is 9 : 24.
What is the ratio of technicians to all the helpers at the Harper Middle School fall play?The ratio of technicians to all helpers can be calculated by dividing the number of technicians by the total number of helpers.
the ratio of technicians to all helpers = number of technicians/number of helpersNumber of technicians = 9
Total number of helpers = 15 ushers + 9 technicians = 24
The ratio of technicians to all helpers = 9 / 24
The ratio will then be:
The ratio of technicians to all helpers = 9 : 24
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Complete question:
There are 15 ushers and 9 technicians helping at the Harper Middle School fall play. What is the ratio of technicians to all helpers?
