What is the distance between (4,7) and (2,2)?
Choose 1 Answer:
A: √10
B:√29
C: 8
D: 9
For accounting purposes, the value of assets (land, buildings, equipment) in a business are depreciated at a set rate per year. The value, V(t) of $408,000 worth of assets after t years, that depreciate at 18% per year, is given by the formula V(t) = Vo(b)t. What is the value of Vo and b, and when rounded to the nearest cent, what are the assets valued at after 8 years?
In the depreciation formula V(t) = Vo(b)^t, Vo is the initial value of $408,000, and b is 0.82 (1 minus 18% depreciation). After 8 years, using these values, the assets are valued at approximately $68,818.46 when rounded to the nearest cent.
The student's question relates to the depreciation of business assets over time. In the formula V(t) = Vo(b)^t, Vo represents the initial value of the assets and b represents the depreciation rate expressed as a base for the exponential function. Knowing that the asset is worth $408,000 initially and depreciates at 18% per annum, Vo equals $408,000, and b equals (1 - 0.18) or 0.82, which reflects the remaining value of the asset after one year.
To calculate the value after 8 years, we use the formula with the given values: V(8) = 408,000(0.82)^8. The calculation proceeds as follows:
V(8) = 408,000(0.82)^8V(8) = 408,000(0.1686747) (approximately after the 0.82 taken to the 8th power)V(8) = 68,818.46 (rounded to the nearest centTo answer the question, the value of the assets after 8 years, rounded to the nearest cent, is $68,818.46.
Which of the following compensation options helps pay for premiums that cover medical expenses?
A.
Cafeteria plan
B.
401(k)
C.
Life insurance
D.
Health insurance
Answer: Option 'D' is correct.
Step-by-step explanation:
Health insurance is an insurance that covers the risk of a person incurring medical expenses, for this TPA is hired to verify and collect the medical bills regarding the medical expenses .On the other hand, Life Insurance covers the risk of death of a person and after the sum insured goes to the Nominee.
Whereas, Cafeteria plan is a reimbursement plan done by employees to contribute their gross income in a designated accounts.
Hence, Option 'D' is correct.
Perform the indicated operation.
7 + 9 + (-4)
20
-20
12
-12
Answer:
12Step-by-step explanation:
HAVE A GREAT DAY EVERYBODYThe true conditional statement, "If 5x + 7 = 2x - 1, then 3x + 7 = -1," illustrates which property of equality?
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
Answer: The correct option is second, i.e., Subtraction Property of Equality.
Explanation:
The given equation is,
[tex]5x+7=2x-1[/tex]
The Subtraction Property of Equality states that if a, b and c are real numbers then, [tex]a=b[/tex] and [tex]a-c=b-c[/tex] are equivalent equations.
Using Subtraction Property of Equality we subtract 2x from both the sides of given equation,
[tex]5x+7-2x=2x-1-2x[/tex]
Then combined like terms,
[tex](5x-2x)+7=(2x-2x)-1[/tex]
[tex]3x+7=-1[/tex]
It is the required equation.
Hence, second option is correct.
Some friends equally split some containers of strawberries. each container held the same number of strawberries. the expression 9x/7 represents how many strawberries each person received when splitting x containers. what does the number 7 in the expression represent?
Jane’s score on her first text was 72%.On Her second test she received a score of 81%. What was her percent increase?
true or false, If points F and G are contained in a plane, then FG is entirely contained in that plane
Which value is equivalent to
Select one:
a. 64 over 49
b. 8 over 49
c. 16 over 7
d. 512 over 7
In a recent year there were about 400,000,000 mobile internet users. That same year, there were about 1.2* into 10 ninths desktop internet users. About how many time larger was the number of desktop internet users than the number of mobile internet users?
Final answer:
The number of desktop internet users is 3 times larger than the number of mobile internet users.
Explanation:
To find out how many times larger the number of desktop internet users is compared to mobile internet users, we need to perform a division. We divide the number of desktop internet users by the number of mobile internet users.
The number of desktop internet users is represented as 1.2 x 109. To simplify this number, we can write it as 1,200,000,000. The number of mobile internet users is 400,000,000.
Now, we divide the number of desktop internet users by the number of mobile internet users:
1,200,000,000 / 400,000,000 = 3
Therefore, the number of desktop internet users is 3 times larger than the number of mobile internet users.
Alex’s father is 5 times older than Alex and Alex is twice as old as his brother Nick who is 5 years old. How old is Alex's father?
Answer:
i think its 50....
Nets consisting of a square and four triangles make a pyramid.
always, sometimes, never
Answer:
A pyramid is a three dimensional shape ,having base in the shape of any polygon and other faces in the shape of triangle.There are 8 edges, 5 vertices of this Pyramid.
→→ Sometimes
Why sometimes,because may be Length of edge that is base of Triangle Exceed the side length of Square, or Edge of Square exceed the side length of base of triangle.
solve the equation
6x-2y+1=0
3x-5y+7=0
Find the perimeter of quadrilateral pqrs with the vertices p(2 4) q(2 3) answer
Although this problem can be solved easily if given the figure, we can simply imagine to solve this. We see that we are given two points of the quadrilateral which are (2, 4) and (2, 3). This means that from P to Q, there is only a distance of 1. Since a quadrilateral has 4 equal sides therefore the perimeter is 4 units.
Answer:
4 units
Identify the number that does not belong with the other three. Explain your reasoning. -[tex] \frac{10}{2} [/tex], -13.4, [tex] \sqrt{18} [/tex], 22.7
If a cube shaped cell is 3 units tall by 3 units wide and 3 units long, what is the volume of the cell?
The volume of the cube is 27 cubic units.
Volume = side length × side length × side length
Given:
the side length of the cube is 3 units,
we can calculate the volume as follows:
Side length = 3 units
Volume = 3 units × 3 units × 3 units
= 27 cubic units
So, the volume of the cube-shaped cell is 27 cubic units.
What equation could be used to solve this problem?
The sum of two consecutive integers is 141. Find the integers.
Use the distributive property to simplify the expression ( y − 9 ) ( 10)
45 decrease by twice a number
Which equation is an example of the use of the associative property of addition ?
1) x+7=7+x
2)3(x+y)=3x+3y
3)(x+y) +3 =x+(y+3)
4)3+(x+y)=(x+y)+3
The associative property of addition is exemplified in the equation 3+(x+y)=(x+y)+3.
The equation that is an example of the use of the associative property of addition is:
3+(x+y)=(x+y)+3
This equation demonstrates that when adding three numbers, the grouping of the numbers does not affect the sum, showcasing the associative property of addition.
Which statement is true about the domain of y = 3(2^-x)? Explain.
The domain is all real numbers greater than or equal to 2.
The domain is all real numbers greater than 0
The domain is all real numbers
The domain is all real numbers less than 0
The correct statement about the domain of y = 3(2-x) is that the domain is all real numbers. The domain of the function y = 3(2^-x) is all real numbers, as there are no restrictions on x from the form of the function itself.
The correct statement about the domain of y = 3(2-x) is that the domain is all real numbers. This is because for the function given, there are no restrictions on the values that x can take. The base of the exponent, 2, is positive and since exponents can take any real number, negative or positive, there is nothing to prevent any real x from being used as an input. Furthermore, since the function does not contain any terms that would result in undefined operations, such as division by zero or negative numbers under an even root, the domain remains unrestricted.
Suppose you have 2 1/2 cups of ice cream. If a serving consists of 1/2 of a cup, how many servings do you have?
Question 1 options:
4
5
6
7
1/2 cup + 1/2 cup = 1 cup
so four 1/2 cups = 2 cups
so five 1/2 cup servings = 2 1/2 cups
answer is 5
What is the exit diameter of a #4 size gas tungsten welding nozzle?
Mike and his friend were playing 2 on 2 at the public court. They were using a homemade basketball and the volume of the ball was 288p. A regulation basketball has a circumference between 29.5-30 in. Can this ball be used in a regulation basketball game?
The mathematical equation relating the independent variable to the expected value of the dependent variable; that is, e(y) = ?0 + ?1x, is known as
Find an expression in simplest form for the verbal description. The sum of the cost of dinner d and a $27 tip divided equally between 3 people
Final answer:
The expression for the cost of dinner plus $27 tip divided by three people is (d + 27) / 3.
Explanation:
To find an expression for the given verbal description, first write the sum of the cost of dinner d and a $27 tip. This sum is represented by the expression d + 27. Then, to divide this sum equally among 3 people, you divide the entire expression by 3. The final expression in simplest form would be (d + 27) / 3.
what is 48% of 576? round the answer to the nearest hundredth
Find three consecutive even integers such that 4 times the third integer is 4 more than the 3 times the first integer plus two times the second integer.
Suppose the ram for a certain computer has 256m words, where each word is 16 bits
Define variable for traveling 2345 total but I've already went 775 miles. If i want to split the remaining miles left into 5 days