To calculate an increase, multiply the original value by the percentage increase. For simple interest, use the formula Interest = Principal * Rate * Time. Percentage increase in mass can be found with the formula: [(Final mass - Initial mass) / Initial mass] * 100%. These methods result in a new train fare of £24.21, a bank balance after 5 years of £472, and a 25% increase in the puppy's mass.
Explanation:1. To work out the new fare, we first need to calculate how much the fare has increased by. 2.8% of £23.55 is found by multiplying 23.55 by 0.028, which comes out to £0.66 (rounded to the nearest penny). Adding this increase to the original fare gives us a new fare of £24.21.
2. The simple interest can be calculated using the formula Interest = Principal * Rate * Time. In this case, Heidi's investment of £400 (the principal) is earning 3.6% (the rate) in interest every year for 5 years (the time). So, the interest Heidi earns equals £400 * 3.6% * 5 = £72. Adding this to the original amount gives us £472.
3. The percentage increase in the puppy's mass is calculated as follows: [(2.25 kg - 1.8 kg) / 1.8 kg] * 100%. So, the mass has increased by 25%.
Learn more about Percentage Calculations here:https://brainly.com/question/329987
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You and four friends go to johny rockets you split the bill each person pays 6.50 how much is the origanl bill
Five times the sum of a number and seven is thirty. find the number.
Help me ! Giving Brainiest!
the range is the difference between the lowest value and highest value
so you would subtract the lowest number from the highest number
Check whether the given number is a solution of the equation
6x+1-5x=7;2
Of a group of students, 5/8 of them are boys. the girls are put into groups so that each group has 1/16 of the total number of students. how many groups of girls are there?
At green deli employees earn double time for any hours worked in addition to their usual 40-hour week. Ester Klein worked 43 hours this week. Klein's regular hourly rate is $9.00 an hour. What is her total pay this week?
Answer:
$414.00
Step-by-step explanation:
At green deli employees earn double time for their over time.
Klein's regular hourly rate = $9.00
So, her overtime rate = $9 × 2 = $18.00
Ester Klein worked 43 hours this week.
40 hours regular work + 3 hours overtime
Her total pay this week = (40 × 9) + (3 × 18)
= 360 + 54
= $414.00
Her total pay this week is $414.00
The sum that represents the number of tickets sold if 35 tickets were sold on monday, half of the remaining tickets were sold on tuesday , and 14 ticket were sold on wenesday
Graph the solution set to the inequality.
A.
B.
C.
D.
Answer:
this is the question from edgenunity i bet
alright first the question is
4(8-2y)4y+ less than or equal to 32 -8
we'll solve for Y by Isolating the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
y ≥ 2
the correct answer for me was A,
Step-by-step explanation:
9x100+2x10+3x0.1+7x0.001
Find the square numbers between 50 and 100
When can an economy achieve price stability? An economy can achieve price stability when there is a _____ and stable inflation rate for a reasonably long period of time.
A. Low
B. High
C. Moderate
Which graph represents the function p(x) = |x – 1|?
Answer: The correct option is fourth option.
Explanation:
The given function is,
p(x)=|x-1|
The graph of the given function is a transformed form of f(x)=|x|.
The parent modulus function is,
P(x)=|x+a|+b
If a>0, then graph shifts left by a units and if a<0, then graph shifts right by a units.
If b>0, then graph shifts upward by b units and if b<0, then graph shifts downward by b units.
Since the value of a is -1 and value of b is 0, therefore the graph of f(x)=|x| shifts right side by 1 unit.
Hence the fourth option is correct.
Other way to choose the correct option is find the x intercept and y intercept.
Put x=0
P(x)=|0-1|= -1
So y-intercept is (0,-1)
Put p(x)=0
0=|x-1|
x=1
So, the x-intercept is (1,0).
From x and y-intercepts, we can say that the fourth option is correct.
Answer:
Fourth graph represent the function p(x) = |x – 1|.
Step-by-step explanation:
Given : Function p(x) = |x – 1|.
To find : Graph .
Solution : We have given that Function p(x) = |x – 1|.
The graph of the given function is a transformed form of f(x)=|x|.
By the transformation rule f(x-h) graph would be shifted to right by h units.
Since , grapf of function f(x)=|x| became shifted to 1 unit right.
Therefore , fourth graph represent the function p(x) = |x – 1|.
A tennis ball hit from the ground level into the air. Its height above the ground at the time can be modeled by the function h(t) = -16t² +160t. The height, h, is measured in feet above the ground and the time, t, is measured in seconds after the ball is hit. How long is the ball in the air?
Answer:
a
Step-by-step explanation:
A Flagpole is 28 ft high and the distance along the line of sight from the top of the flagpole to a person looking up at it is 35ft. What is the angle of depression from the top of the flagpole to the person?
Describe the shapes that make the net for a cone?
Divide. Write your answer in simplest form.
eight divided by seven sixths
A peer is having difficulty finding angle measures using trigonometric ratios in a right triangle. Create an example to demonstrate how to do this and be sure to address using the reciprocal relationships (cosecant, secant, cotangent too)
Final answer:
To find angle measures using trigonometric ratios, such as sine, cosine, and tangent, as well as their reciprocals (cosecant, secant, and cotangent), use SOHCAHTOA to relate the sides of the triangle to the angle. Utilize the inverse trigonometric functions (like arccos) on your calculator to find the angle's measure from the ratio you have calculated with sides of the triangle.
Explanation:
To find angle measures using trigonometric ratios in a right triangle, we can use the mnemonic SOHCAHTOA, which stands for Sine equals Opposite over Hypotenuse, Cosine equals Adjacent over Hypotenuse, and Tangent equals Opposite over Adjacent. Let's create an example:
Suppose we have a right triangle with a hypotenuse (h) of 10 units and an adjacent side (x) to angle theta of 8 units.
To find the cosine of angle theta, we use the ratio Cos(theta) = x/h. Thus, Cos(theta) = 8/10 = 0.8.
To determine the actual measure of angle theta, we use the inverse cosine function: theta = arccos(0.8), which gives us the angle's measure in degrees or radians.
For the reciprocal, secant (Sec) is simply the inverse of cosine: Sec(theta) = 1/Cos(theta) = 10/8 = 1.25.
If we needed to use the cotangent, which is the reciprocal of the tangent, we would first need to find the opposite side (y) using the Pythagorean theorem and then use the ratio Cot(theta) = x/y.
It's essential to understand these relationships and how to use the inverse functions to find the angle measures in a right triangle. Reciprocal relationships involve the use of cosecant (Csc), which is 1/Sin(theta), secant (Sec), and cotangent (Cot), which is 1/Tan(theta). Always make sure your calculator is set to the correct unit (degrees or radians) before calculating the angle.
Caitlin says the difference in their ages is 24 years. In two or more complete sentences, explain whether or not Caitlin is correct. In your explanation, include the equations and calculations necessary to support or contradict Caitlin's answer.
If it takes 3 days for 10 workers to finish building one house, how many days will it take 15 workers to finish 4 houses?
If -4 is added to a number and them sum is doubled, the result is -16 less than the number. find the number.
Final answer:
By setting up an equation based on the given problem (2(n - 4) = n - 16) and solving for n, we find that the number in question is – 8.
Explanation:
To find the number in question, let's represent the unknown number as n. According to the problem, if -4 is added to a number and then the sum is doubled, it equals the number decreased by 16. So the equation based on the problem is:
2(n - 4) = n - 16
Expand the left side of the equation:
2n - 8 = n - 16
Now we want to get all the n terms on one side and the constants on the other. To do this, we subtract n from both sides:
n - 8 = -16
Next, we add 8 to both sides to solve for n:
n = -16 + 8
n = -8
So the number in question is -8.
the area of a rectangular swimming pool is 10x^2-19-15 the length is 5x+3 .what is the width of the pool?
Why must eye protection be worn at all times in welding shop?
HELP ME PLS!!!!!!!!.......
The perimeter of a rectangle is 112 cm. if the length is 30 cm, how wide is the rectangle?
The ratio of men to women working for a company is 7 to 4 . if there are 133 men working for the company, what is the total number of employees?
The scale on a map of Virginia shows that 1 centimeter represents 30 miles. The actual distance from Richmond, VA to Washington, DC is 110 miles. On the map, how many centimeters are between the two cities? Round your answer to the tenth.
Answer:
3.7 cm
Step-by-step explanation:
Simplify negative 7 and one over 8 minus negative 9 and one half
Simplify the expression 11x − (2x2 + 8x).
Which operation will solve the equation?
m + 9 = 20
Question 2 options:
Add 9 to each side.
Subtract 9 from each side.
Add 20 to each side.
Subtract 20 from each side.
Can someone solve these for me? I have no idea what I'm doing wrong. 19 points.