Herbert will earn $63,417 for his tenth year of work which is calculated using compound interest formula.
After graduating from college, Herbert decided to join a new company. He agreed to a salary which will increase by 4.5% each year. This means that every year, Herbert's salary will increase by 4.5% of his previous year's salary. For example, if his salary in the first year is $50,000, his salary in the second year will be $52,250, and so on.
To find out Herbert's salary for his tenth year of work, we need to use compound interest formula. The formula is:
A = P(1 + r)ⁿ
Where:
A = Final amount (salary in the tenth year)
P = Initial amount (salary in the first year)
r = Annual interest rate (4.5%)
n = Number of years (10)
Substituting the values in the formula, we get:
A = $50,000(1 + 0.045)¹⁰
A = $63,417
Therefore, Herbert will earn $63,417 for his tenth year of work. It is important to note that the increase in salary is a result of compound interest, which means that the salary growth rate accelerates over time. This is a good incentive for Herbert to stay with the company and work hard.
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The table lists the locations of four underwater camreas relative to sea level which camrea is the farthest from the surface of the water
The fish camera will farthest from from the surface of water as it is -15 1/3 feet away that is 15 1/3 feet below the sea level. so correct option is B.
What is number line?A number line is a diagram of a graduated straight line used to represent real numbers in elementary mathematics. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point. A number line is a visual representation of numbers on a straight line in mathematics. A number line's numbers are arranged in a sequential manner at equal intervals along its length. It is typically represented horizontally and can extend indefinitely in any direction. A number line is exactly what it sounds like—a horizontal, straight line with numbers spaced evenly apart along its length.
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can yall help me with this plsss?
please help :) im giving brainlyyyy
Answer:
a. 3
b. 9
Step-by-step explanation:
6 / 2 = 3
It takes each person 3 hours.
a. 3
b. 3*3 = 9
Declan said, "I know 3/4 is greater than 1/2, so that means 3/4 is greater than 6/12. " Does Declan’s reasoning make sense?
Declan's reasoning does make sense. This is because 3/4 and 1/2 have the same denominator, and 3/4 is a larger fraction than 1/2.
Therefore, it is reasonable to assume that 3/4 is greater than 6/12 because 6/12 simplifies to 1/2. Simplifying fractions means dividing the numerator and denominator by the same number, in this case, 6 is divisible by 2, so we can reduce the fraction to 1/2.
So, Declan is correct in his reasoning that 3/4 is greater than 6/12. It is important to understand the relationship between fractions and their denominators to make such comparisons accurately.
3/4 = 9/12
1/2 = 6/12
6/12 = 6/12
Since 9/12 (which is equivalent to 3/4) is greater than 6/12 (which is equivalent to 1/2), we can say that 3/4 is indeed greater than 6/12.
Therefore, Declan's reasoning is correct.
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someone help me with this i will appreciate it :)
Answer:
BD = 112
Step-by-step explanation:
The Pythagorean theorem can be used.
BD^2 = 100^2 + 50^2
BD^2 = 12500
BD = √12500
BD = 111.8, or 112
Help and show work please♀️
Answer:C
Step-by-step explanation:
First set up as a subtraction problem
Second determine if you need to change the scientific notation
Third subtract
Fourth move decimal to right how many spaces needed for the scientific notation
Fifth add comas and you got your answer!
Hope this helps!:)
Your problem is in purple pen the rest is my science notes.
by considering the area of the two rectangles,show that 2xx-5x-18=0 and hence find the value of length AB
By comparing the area of the two rectangles, the quadratic equation 2x²-5x-18=0 is obtained. The value of length AB is 7.
The problem statement involves two rectangles with dimensions of x and 2x - 3. The area of the first rectangle is calculated as A1 = x * (2x - 3), which equals 2x² - 3x. Similarly, the area of the second rectangle is calculated as A2 = (x + 4) * (2x - 5), which equals 2x² - 23x + 20. As per the problem statement, the areas of both rectangles are equal. Therefore; 2x² - 3x = 2x² - 23x + 20.
Rearranging the above equation, we get the quadratic equation: 20x - 20 = 02(x - 5)(x + 2) = 0. By solving this equation, we obtain the value of x as 5 or x = -2. But since x cannot be negative, x is equal to 5. The length AB is given as 2x - 3 = 7.
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You invest $1,000 into your retirement account. Your money earns 12% per year (in other words, your money grows 12% per year). What exponential function below represents this situation?
Answer:
Option 3 \(f(x) = 1,000 x (1.12)^{x}\)
Step-by-step explanation:
2. The amount of your bill is $3.10. You give the cashier $5.00. Complete
the table to show how the cashier might return the change.
+
Coins Given to
Convenient Amount
Customer
Reached
The bill is $3.10.
a1 nickel
dimes
$5.00
Pls help
Step-by-step explanation:
I add the $3.10 with the $5.00 add I get $8.1 that's what I get for my answer I hope you it helps you out
What is -5/7 times (-1/6)
Answer:
5/42 or 0.1190
hope this helps :)
A large on-demand, video streaming company is designing a large-scale survey to determine the mean amount of time corporate executives watch on-demand television. A small pilot survey of 10 executives indicated that the mean time per week is 13 hours, with a standard deviation of 2.5 hours. The estimate of the mean viewing time should be within 30 minutes. The 98% level of confidence is to be used. (Use z Distribution Table.) How many executives should be surveyed? (Round the z-score to 2 decimal places and final answer to the next whole number.)
Since we need to round the final answer to the next whole number, the required sample size is 544 executives.
To determine the required sample size for the survey, we will use the formula for sample size calculation with a known standard deviation and a desired margin of error:
n = (Z * σ / E)^2
where:
n = required sample size
Z = z-score corresponding to the desired confidence level (98%)
σ = population standard deviation (2.5 hours)
E = margin of error (0.5 hours, which is 30 minutes)
First, we need to find the z-score corresponding to a 98% confidence level. Using the z Distribution Table, we find that the z-score is approximately 2.33.
Now, we can plug in the values into the formula:
n = (2.33 * 2.5 / 0.5)^2
n = (11.65 / 0.5)^2
n = 23.3^2
n ≈ 543.29
Since we need to round the final answer to the next whole number, the required sample size is 544 executives.
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pls help if you can asap!!!!
Answer: x= 6
Step-by-step explanation:
Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.
You can see they do not look the same so they add up to equal 180
12x + 3 +105 = 180
12x + 108 = 180
12x = 72
x = 6
Explain whether each following example is proportional or non-proportional. Please state whether it is
proportional or non-proportional AND explain how you know. You will not get full credit for correct answers
without an explanation.
Is this equation proportional or non-proportional? How do you know? y 7x 3
Is the graph below proportional or non-proportional? How do you know?
Is this situation proportional or non-proportional? How do you know? A gallon of milk costs $1.99. A
half-gallon of milk costs $3.89.
Is the data in the table below proportional or non-proportional? How do you know?
x y
2 13
3 19.5
4 26
5 32.5
Answer: This is non-proportional A half-gallon of milk should cost less than a gallon of milk, and either way, it is non-proportional
Step-by-step explanation:
And Please Give Yo Boy Brainlest MHM I KNOW IM RIGHT
What is cosθ = _____ based on this image
a)-3/5
b)-4/3
c)-4/5
d)-3/4
Find P(red 7,black face card)
The probability of drawing a red 7 and black face card is P ( A ) = 1/221
Given data ,
Let the probability of drawing a red 7 and black face card be P ( A )
Now , the compound probability is given by\
The number of red 7 cards = ( red of diamonds 7 + red of hearts 7 )
Probability of drawing a red 7 = 2/52
Now , the card is not replaced , so the total number of remaining cards = 51
And , number of black face cards = 6
Probability of drawing a black face card = 6/51
So , P ( A ) = 2/52 ( 6/51 )
P ( A ) = 12 / 2652
On simplifying , we get
P ( A ) = 1/221
Hence , the probability is P ( A ) = 1/221
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the four angles of a quadrilateral at
in the ratio 1:2:3:4 find the angles
Answer:
36°, 72°, 108°, 144°
Step-by-step explanation:
The sum of the interior angles of a quadrilateral = 360°
sum the parts of the ratio, 1 + 2 + 3 + 4 = 10 parts
Divide 360° by 10 to find the value of one part of the ratio
360° ÷ 10 = 36° ← value of 1 part of the ratio, then
2 parts = 2 × 36° = 72°
3 parts = 3 × 36° = 108°
4 parts = 4 × 36° = 144°
The 4 angles are 36°, 72°, 108°, 144°
What is 24.5 divided by 2? Please show your work.
if the student is impatient while measuring the temperature when the water and unknown material are combined and records a value while it is still rising, then
If the student is impatient while measuring the temperature when the water and unknown material are combined and records a value while it is still rising, it can introduce an error in the temperature measurement.
When two substances are combined, a process called heat transfer occurs until they reach thermal equilibrium. During this process, the temperature may initially increase or decrease depending on the relative temperatures of the substances and the heat capacities involved.
If the student records the temperature value while it is still rising, it means that the temperature has not yet reached equilibrium. This premature measurement can lead to an inaccurate or unreliable temperature reading.
To obtain an accurate measurement, it is crucial to wait until the temperature stabilizes and reaches a steady state. This ensures that the combined system has achieved thermal equilibrium, and the recorded temperature represents the actual temperature of the mixture.
Impatience or premature measurements can result in erroneous data, which may affect subsequent calculations or conclusions drawn from the experiment. It is important to exercise patience and allow sufficient time for the temperature to stabilize before recording measurements to ensure accurate and reliable results.
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Find the interval on which the curve is concave upward. Note: when using interval notation in webwork, you use i for , -i for , and u for the union symbol
The interval on which the curve is concave upward is x∈(-I, -0.125). It can be calculated in the following manner.
y = x∫(1/5+t+4t²) dt
y= 1/(5+x+4x²) (d(x)/dx)
y= 1/(5+x+4x²)
y= -1(5+x+4x²)² * (8x+1)
For concave up: y">0
= -(8x+1)/(5+x+4x²)² >0
= -(8x+1)>0
= (8x+1)<0
= x<(-1/8)
= x∈(-∞, -1/8)
= x∈ (-I, -1/8) ≡ x∈(-I, -0.125)
The interval on which the curve is concave upward is x∈(-I, -0.125)
A segment of a curve is said to be concave up if the y-value increases rapidly from left to right. The curve would resemble the interior of a bowl if viewed from above.
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algebric expressions formula
Answer:
a2 – b2 = (a – b)(a + b)
(a + b)2 = a2 + 2ab + b
a2 + b2 = (a + b)2 – 2ab
(a – b)2 = a2 – 2ab + b
That's all i know- rip TvT
Percent equations I need help plzzz here is the question blank % of 6,000 = 4,800
Answer:
20%
Step-by-step explanation:
20% of 6000 = 4800
If I helped you, can you mark me brainliest please?
A company that manufactures and sells gaming PCs has run some estimates of monthly costs and sales. When their PCs are priced at dollars per PC, they expect to sell PCs that month, given by the demand equation
4P + 2D = 16,400
The total cost of manufacturing PCs in a month is given by the function
C(D)= 225D + 15,400 dollars.
Given this information, how should these gaming PCs be priced if they wish to sell 7,200 in a month? Round your answer appropriately and enter it as just a numerical quantity (no labels or symbols).
To determine how the gaming PCs should be priced to sell 7,200 units in a month, we need to solve the demand equation for the price P.
The demand equation is given by:
4P + 2D = 16,400
We want to find the price P when the number of units sold D is 7,200. Substituting D = 7,200 into the equation, we have:
4P + 2(7,200) = 16,400
Simplifying the equation:
4P + 14,400 = 16,400
Subtracting 14,400 from both sides:
4P = 2,000
Dividing both sides by 4:
P = 500
Therefore, the gaming PCs should be priced at $500 per PC to sell 7,200 units in a month
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A bag contains 2 red marbles, and 3 black marbles. If Abby picks a marble without looking, returns it to the bag, and then draws a second marble, what is the probability that both marbles are red? Give the answer as a fraction in simplest form.
Answer:
4/25
Step-by-step explanation:
The total number of marbles is 2+3=5 total
P(1 red, then a second red) = (2/5) * (2/5) = 4/25
Please answer this it's pre-algebra I will give brainliest and thanks
A 40-question test has 108 possible points. There are m 4-point questions and n 2-point questions. How many of each type of questions are on the test?
Answer:
14 4 point questions and 26 2 point questions
Step-by-step explanation:
i just know
The absolute value of x=5
The absolute value of x=5 is 5.
How to determine the absolute valueThe absolute value of a number is its positive equivalent of the number
For instance, the absolute value of -5 is 5 and the absolute value of 5 is also 5.
Generally, it is denoted by the symbol |x|.
So, we have
The absolute value of x=5
This gives
x = |5|
Evaluate
x = 5
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A student stands 20 m away from the footof a tree and observes that the angle of elevation of the top of the tree, measured from a table 1.5 m above the ground, is 34°28'. Calculate the height of the tree tothe nearest metre.
Answer:
6 to the north
Step-by-step explanation:
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Jasmine is a structural engineer.she designs the lift hill of a roller coaster that models the equation y=x
Jasmine, as a structural engineer, is responsible for designing the lift hill of a roller coaster. By designing the lift hill according to this equation, Jasmine ensures that the roller coaster operates safely and effectively.
Jasmine, as a structural engineer, is responsible for designing the lift hill of a roller coaster. The equation y=x is a simple linear equation, where y represents the height of the lift hill and x represents the horizontal distance traveled along the track. In this case, the equation suggests that the height of the lift hill increases linearly with the horizontal distance traveled.
The equation y=x implies that for every unit increase in the distance traveled along the track, there is an equal increase in the height of the lift hill. This linear relationship ensures a gradual incline for the roller coaster, providing a smooth and enjoyable experience for riders. By designing the lift hill according to this equation, Jasmine ensures that the roller coaster operates safely and effectively.
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determine the y intercept in the slope intercept form of an equation y=mx+b given a table x:4,6,8 y: 10,12,14
==========================================================
Explanation:
Let's use the first two rows of the table to find the slope
m = slope
m = rise/run
m = (change in y)/(change in x)
m = (y2-y1)/(x2-x1)
m = (12-10)/(6-4)
m = 2/2
m = 1
The slope is 1.
Now let's use the first row of the table, along with the slope we just found, to plug into y = mx+b. The goal is to find b.
y = mx+b
10 = 1*4+b
10 = 4+b
10-4 = b
6 = b
b = 6
The y intercept is 6.
The y = mx+b equation is y = 1x+6 which is the same as y = x+6
25 Points please help me
ASAP and I will mark brainlyist
Answer:
(a)
1. 4.6... sample mean2. 4.6.. sample mean3. 4.8... sample mean4. 5.2... sample mean(b) range of sample means =0.6
(c)
FalseFalseFalseFalseOlivia has enter a buffet line in which he chooses one kind of meat two kinds of vegatables and one dessert if the order of the food items are not important how many different meals can she choose meat: duck beef chicken mutton Vegatables: baked beams corn potatoes tomatoes spinach lettuce dessert brownies chocalate cake ice cream and vanilla pudding
Using the Fundamental Counting Theorem, it is found that she can choose 180 different meals.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with \(n_1, n_2, \cdots, n_n\) ways to be done, each thing independent of the other, the number of ways they can be done is:
\(N = n_1 \times n_2 \times \cdots \times n_n\)
In this problem:
For the meat, there are 3 outcomes, hence \(n_1 = 3\).For the two vegetables, 2 are taken from a set of 6, hence, applying the combination formula, \(n_2 = C_{6,2} = \frac{6!}{2!4!} = 15\).For the dessert, there are 4 outcomes, hence \(n_3 = 4\).Then:
\(N = n_1n_2n_3 = 3(15)(4) = 180\)
She can choose 180 different meals.
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