5000 x (1-0.10)^2
5000 x 0.90^2
5000 * 0.81
it is valued at 4,050 after 2 years
Final answer:
After applying a 10% yearly depreciation to the initial value of £5000, the car's value after 2 years will be £3150.
Explanation:
When a car decreases in value by 10% a year, its value after 2 years can be calculated using exponential decay. To compute the value of the car after two years, we start with the initial value of £5000 and apply a 10% decrease for each year. The formula for the value of the car after a certain number of years is given by:
Future Value = Present Value × (1 - rate of depreciation)^number of years
For the first year:
Future Value = £5000 × (1 - 0.10)¹
Future Value = £5000 × 0.90
Future Value = £4500
For the second year, we use the value at the end of the first year:
Future Value = £4500 × (1 - 0.10)¹
Future Value = £4500 × 0.90
Future Value = £3150
Therefore, after 2 years, the car will be worth £3150.
There were 5 people who bought tickets to a football game. They bought 3 tickets each. How many tickets were bought in all?
Please help me :/ If AB=BC, then DE=2(AB). AB=6 and BC=6. What can you conclude
Given AB = BC = 6, and DE = 2(AB), then DE = 2 * 6 = 12. Therefore, DE equals 12 units.
Explanation:In the problem, it's stated that AB = BC = 6 units. This means that both AB and BC are equal in length, each measuring 6 units. As per the given relationship, DE is twice the length of AB. Substituting the known value of AB as 6 units into the expression for DE, we get DE = 2 * 6 = 12 units.
The equality of AB and BC implies that the triangle ABC is an isosceles triangle, where AB and BC are the congruent sides. Consequently, the line segment DE, which is related to AB, shares the same length as BC, making DE also equal to 6 units. However, as per the given relationship DE = 2 * AB, DE is calculated as 2 times the length of AB. Substituting AB = 6 units into the equation, DE = 2 * 6 = 12 units.
Therefore, following the given relationship between DE and AB and using the fact that AB = BC, we can confidently conclude that the length of DE is 12 units. This is determined by doubling the known length of AB, which is established by the equality of AB and BC in the context of an isosceles triangle.
(8 - 4)x + 6 which property is being used?
The second side of a triangular deck is 3 feet longer than the shortest side and a third side that is 3 feet shorter than twice the length of the shortest side. if the perimeter of the deck is 68 feet, what are the lengths of the three sides?
The perimeter of a triangle is:
P = a + b + c
We are given that:
b = a + 3
c = 2 a – 3
Therefore:
68 = a + a + 3 + 2 a – 3
68 = 4 a
a = 17
and,
b = a + 3 = 20
c = 2a – 3 = 31
The shortest side of the triangle measures 17 feet.
The second side of the triangle measures 20 feet.
The third side of the triangle measures 31 feet.
What is the length of the three sides?The perimeter of a triangle is the sum of the length of the three sides of the triangle.
Let the shortest side be represented with s.
The second side = 3 + s
The third side = 2s - 3
2s - 3 + 3 + s + s = 68
4s = 68
s = 17
The second side = 17 + 3 = 20
The third side = = (2 x 17) - 3 = 31
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A gardener buys a plant that is 12cm in height. Each week after that the plant grows 10cm. Note: The plant is 12cm high at the beginning of the week.
what is the formula and value for t10 and t12 in an arithmetic sequence????
formula = height = 12+10t
where t = number of weeks
so for t10
height = 12+10(10) = 12+100 = 112 cm
for t12
height = 12+10(12) = 12 +120 = 132 cm
what is the value of the expression? (11 - 4) * (6 + 5) A.18 B.47 C.77 D.117
Simplify 81.56 + n - 2.55.
A)79.10 - n
B)79.01 + n
C)81.56 - 2.55n
find the perimeter of the triangle
How to solve 3d+8=2d-17
The value of d for the expression 3d + 8 = 2d - 17 is -25.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 8 is an equation.
3x = 4 is an equation.
2x = 4 is an equation.
We have,
3d + 8 = 2d - 17
3d and 2d are like terms.
So,
keep like terms on one side.
3 - 2d = -17 - 8
d = -25
Thus,
The value of d is -25.
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Which expression can be used to find the slope of a line containing points (-3,2) and ( 7,-1)
In an orchard, for every 5 green apples there are 2 red apples. What is the ratio of green apples to red apples?
Given f(x) = x − 7 and g(x) = x2 . Find g(f(4)). g(f(4)) =
Hey!
Hope this helps...
~~~~~~~~~~~~~~~~~~~~~~
To solve this we will first find out what f(x) equals at the given point of 4, and than substitute that answer it for g(f(4))...
f(x) = x - 7
f(4) = 4 - 7 = -3
g(f(4)) = (x - 7)^2 > -3^2 = 9
So...
The answer is: g(f(4)) = 9
Answer: 9
Step-by-step explanation:
how to factor x^4+x^2-20
You are going running. For every mile you run, you burn 100 calories. In the equation below, m represents the number of miles you run, and c represents the number of calories you burn. The relationship between these two variables can be expressed by the following equation: c=100m, equals, 100, m Identify the dependent and independent variables.
The number of miles you run is Independent and the calories you burn is Dependent
Answer:
C is the dependent variable
m is the independent variable
Step-by-step explanation:
For every mile you run, you burn 100 calories. In the equation below, m represents the number of miles you run, and c represents the number of calories you burn
C= 100m
Number of calories burn depends on the number of miles you run
So calories C depends on the miles 'm'
C is the dependent variable because it depends on the value of 'm'
m is the independent variable
The formula for the perimeter of a square is p = 4s, where s is the length of a side. find the perimeter of each square.
Write the equation of the line in standard form when the slope is -7 and the line goes through
(-2, 5). Graph the line.
Noel Devine bought a new dishwasher for $320. He paid $20 down and made 10 monthly payments of $34. What actual yearly interest rate did Noel pay?
A. 14.55%
B. 29.09%
C. 34.38%
D. 68.75%
Solution:
Cost price of Dishwasher bought by Noel Divine = $ 320
Down payment = $ 20
Amount given in one installment= $ 34
Total Amount paid in 10 Installment = $34 ×10=$ 340
Total amount paid for Dishwasher by Noel Divine = $340 + $ 20 = $ 360
Interest paid by noel = $ 360 - $ 320= $ 40
As the interest will be simple interest
Simple interest =[tex]\frac{Principal \times \text{time} \ \text{rate}}{100}[/tex]
40=[tex]\frac{320 \times R \times \frac{10}{12}}{100}[/tex]
R= [tex]\frac{48000}{3200}[/tex]=15% →→Option A
15 pts!! Find an equation of the line that satisfies the given conditions: through (2,4) & parallel to the x axis.
Is 4x + the square root of y = 12 a linear function
The equation 4x + √y = 12 is a non-linear function because of the square root term. Non-linear functions do not have a constant rate of change and their graphs are not straight lines.
Explanation:The equation 4x + √y = 12 is not a linear function. A linear function is defined as a function that can be represented by a straight line. However, this equation contains a square root term, which makes it a non-linear function. To determine the type of function, it is important to consider the rules and properties of different function types.
In this case, the equation represents a non-linear function because of the square root term. Non-linear functions do not have a constant rate of change and their graphs are not straight lines. The square root term introduces a curve in the graph.
For example, let's say y = 4, then we can solve for x: 4x + √y = 12, which simplifies to 4x + 2 = 12. Solving for x, we get x = 2. So, for y = 4, x = 2. If we continue to substitute different values for y, we will see that the relationship between x and y is not linear.
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Math Natalia Gonzalez You already owed your friend $6. This morning you borrowed $4 more and this afternoon you paid back $8. How much money do you owe your friend?
Hi!!
The answer is 2!
Fun fact,my name is Natalia Gonzalez too!!
But
6+4=10
10-8= 2
Hope this helps ya
Which expression is equivalent to −1.3+(−4.9)+(−2.6) ?
a −(1.3−4.9)+(−2.6)
b −1.3+(4.9+2.6)
c (1.3+4.9+2.6)
d −1.3−(4.9+2.6)
The equivalent expression to -1.3+(-4.9)+(-2.6) is -1.3 - 4.9 - 2.6, which is represented by option d, -1.3 - (4.9 + 2.6).
Explanation:The subject of this question is a mathematical calculation, more specifically adding negative numbers.
To answer the student's question about which expression is equivalent to -1.3+(-4.9)+(-2.6), we first need to understand that adding a negative number is the same as subtraction. Therefore, the expression can be written as -1.3 - 4.9 - 2.6.
If we look at the options:
Option a, −(1.3−4.9)+(−2.6) is not correct because subtracting a negative number should be the same as adding; Option b, −1.3+(4.9+2.6) is incorrect as well; Option c, (1.3+4.9+2.6) is not equivalent because the signs of all numbers are positive; Option d, −1.3−(4.9+2.6) is indeed the correct option, because it represents the operation of subtraction as originally described. Learn more about Adding negative numbers here:
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whats the simple answer and way to solve -46+ x=25
one dozen eggs cost 1.98$. How much does 1 egg cost? ( round to the nearest cent )
The cost of one egg is $0.165.
Given that, one dozen eggs cost 1.98$.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Now, cost of 1 egg = Cost of one dozen eggs ÷ 12
= 1.98/12
=0.165
Therefore, the cost of one egg is $0.165.
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A painter charges an initial fee of $50 and $30 for each hour of labor. Write a linear function to determine the total cost. How much will it cost if the painter takes 4.5 hours to paint?
Explain how the energy of a toy car is transformed as it slides down a ramp. Give evidence that the energy of the car remains the same at all points on the ramp.
Answer:
as the car slides down the ramp it is in kinetic energy and when it is on the top of the ramp it is on potential energy we see that the energy is being transferred
0.008 is 1 tenth of what decimal
If the value of x decreases by 6, how does the value of m(x + 9) change?
Determine if f is a linear or nonlinear function and if f is a constant function.
branliest offered 10 points for each question
least to greatest
square root of 8, -2/5, -1, 0.6, square root of 6
-8,3, negative square root of 5, 2.6, -1.5, square root of 5
-8.3,negagitive square root of 80, -17/2, -8.25, negative square root of 100
what is -1/3+5(negative one over three plus 5) please help me im confused