A car bought for $13,000 depreciates at 15% per year. Use an exponential function to find the value of the car after 5 years.
Answer:
$5768.1
Step-by-step explanation:
Given data
Cost price= $13,000
Depreciation= 15%
Time= 5 years
The expression for the depreciation is given below
A= P(1-r)^t
Substitute
A=13000(1-0.15)^5
A=13000(0.85)^5
A=13000*0.4437
A=$5768.1
Hence after 5 years, the car will be $5768.1
alex works for his father assembling clock motors he is paid a piecework rate of $8.50 per motor. this week he assembled 21 motors
Answer: $178.50
Step-by-step explanation:
If Alex is paid a piecework rate of $8.50 per motor, then;
Price per motor assembly = $8.50
By assembling 21 motors Alex gets,
1 motor = $8.50
21 motors = (21 * $8.50) / 1
= $178.50 / 1
= $178.50
By assembling 21 motors,
Alex gets $178.50
A soccer game is 60 minutes long. Forty-one minutes of the game
have been played. Write and solve an equation to find the number
of minutes m that remain. Enter your answer as m=?
At the Victoria falls in Zimbabwe, 550 000 cubic metres of water flow over the edge every
minute. Calculate how much water flows over the edge in one day. Write your answer in
scientific notation.
792,000,000,0
Step-by-step explanation:
550,000 x 60 = 330,000,00 (To get hourly rate)
330,000,00 x 24 = 792,000,000,0 (To get daily rate)
Hope this helps! :)
Cual es la fuerza de 225n y 165n
Answer: 225 N + 165 N = 3.90×10.
Solve by the square root method
5x²-20=0
Answer:
The answer is 2
Step-by-step explanation:
5x² = 20
x² = 4
x = 2
If x and y vary inversely and x = 1 when y = 11, find x when y = 5.5.
Answer:
If the variable Y being 5.5 it's because she was divisible by two. So if I divise X by 2 the reply is 0.5. So at least if y is 5.5, x is 0.5.
Step-by-step explanation:
HEEEEEEEEEELPPP I NEED ANSWER HELP
A bakery sold 154 mocha cupcakes in a day, which was 35% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?
440 bevause 154 is 35 percent of 440
The 154 mocha cupcakes represents a proportion of the total cupcakes sold in the bakery. The total number of cupcakes sold in the bakery on that day is 440.
Given that:
[tex]Mocha = 154[/tex]
From the question, we understand that the bakery sells other cupcakes too.
And Mocha only represents 35% of the total.
This means that:
[tex]Mocha = 35\% \times Total[/tex]
So, we have:
[tex]154 = 35\% \times Total[/tex]
Make Total the subject
[tex]Total = 154 \div 35\%[/tex]
[tex]Total = 440[/tex]
Hence, 440 cupcakes were sold on that day.
Read more about proportions at:
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whats the answer i need help please
Answer:
fggfdf
Step-by-step explanation:
gfdgdgd
What is the equation and how do you figure it out?
Does anyone know this??
Answer:
6.3×100^12
Step-by-step explanation:
hope it helps
simplify (27x^6y^3)1/3
Answer:
9(x^6)(y^3)
Step-by-step explanation:
CAN SOME0NE PLEASE HELP MEEE ASAP!!
Answer:
[tex]x = 35.6[/tex]
Step-by-step explanation:
It is given that figure (HGFE) and figure (LKJI) are similar. Meaning that one must multiply a side of the figure (HGFE) by a number to get the corresponding side length from the figure (LKJI). To find this number, one must divide two corresponding sides.
[tex]\frac{KL}{FE}[/tex]
[tex]=\frac{55}{17}[/tex]
Now to find a missing side in figure (LKJI) one must multiply its corresponding side by ([tex]\frac{55}{17}[/tex]) in figure (HGFE) to find the length of the missing side.
[tex]EF * \frac{55}{17} = JI\\\\11 * \frac{55}{17} = JI\\\\\frac{605}{17} = JI[/tex]
[tex]x = \frac{605}{17}\\\\x=35.6[/tex]
Answer:
IJ ≈ 35.6
Step-by-step explanation:
Since the quadrilaterals are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{IJ}{EF}[/tex] = [tex]\frac{KL}{GH}[/tex] , substitute values
[tex]\frac{IJ}{11}[/tex] = [tex]\frac{55}{17}[/tex] ( cross- multiply )
17 IJ = 605 ( divide both sides by 17 )
IJ ≈ 35.6 ( to the nearest tenth )
If RS is parallel to AB, what is the width of the sand trap?
a. 149 b. 82 c. 107 d. 84
please helpppp
2. Solve for x, y, and z
Answer:
x=90
y=45
z=45
ok but i am not sure at all please confirm
A rectangular exercise mat has a perimeter of 36 feet. The length of the mat has a perimeter of 36 feet. The length of the msg is twice the width . What is the area, in square feet of the mat?
Answer:
18
Step-by-step explanation:
;)
6) Brad's father asked an engineer to survey the field behind their house. He wanted to plant some orange and tangerine trees there. According to the survey, the field is thirty metres long and twenty-six metres wide. What is the perimeter of the field in kilometres?
Answer:
the perimeter of the field in kilometers is 112 km
Step-by-step explanation:
The computation of the perimeter of the field in km is shown below:
As we know that
Perimeter is
= 2(length + width)
= 2(30 + 26)
= 2 (56)
= 112 km
Hence, the perimeter of the field in kilometers is 112 km
a positive number of two digits the ten place exced.the unit place digit by 5 .if the producted digit is 46. find the number
I uploaded the answer to a file hosting. Here's link:
tinyurl.com/wpazsebu
i tried but i don't know if i did this correctly.
Answer:
Step-by-step explanation:
Sorry I dont know
The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?
Answer:
0
Step-by-step explanation:
En una competición participan 200 atletas, 2/5 son españoles, 1/3 del resto son franceses, 35 son alemanes y el resto son ingleses. ¿Cuál es la fracción de atletas alemanes que hay?
Answer:
7/40
Step-by-step explanation:
La fraccion de Alemanes son 35/200=7/40
Given that 5^-n = 0.5
Find the value of (5^n)³
Answer:
Step-by-step explanation:
3 = (-1) * (-3)
So, Now we can write
[tex](5^{n})^{3}= (5^{n})^{-1 * -3}\\\\= (5^{n*-1})^{-3}\\\\=(5^{-n})^{-3}\\\\= (0.5)^{-3}\\\\= \frac{1}{0.5^{3}}\\\\=\frac{1}{0.125}[/tex]
um someone pls help me
Answer:
s : m : l
2u : 3u : 7u
small bag=15kg
medium bag=22.5kg
large bag=52.5kg
13 (3) = ???
Please help ant get the answer for nothing...
Answer:
39
Step-by-step explanation:
13 x 3?
What is the value of h in the triangle below?
Answer:
2
Step-by-step explanation:
That side has to be smaller than 3 since it’s the length of the bigger triangle side making 2 the only possible answer because it’s the smallest answer.
Describe two different ways to find the total area of the park.
Answer:
1. Combine the like terms from all 3 sections then subsite for X.
2. You can subsitue X in and solve the areas for each section, then adding up the 3 areas.
Step-by-step explanation:
The two ways to find the total area of the park are:
Add the Areas of Each Section
Use Geometric Shapes
Both methods should give us the same total area of 3x² + 175x + 1200 ft².
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Method 1:
Add the Areas of Each Section
We can find the total area of the park by adding the areas of each section. Therefore, the total area is:
Total Area = Game field + Picnic field + Recreation area
Total Area = (x² + 95x + 450) + (x² + 45x + 450) + (x² + 35x + 300)
Total Area = 3x² + 175x + 1200 ft²
Method 2:
Use Geometric Shapes
Another way to find the total area of the park is to use geometric shapes that represent each section.
We can see that the Game field and Picnic field have the same area of
x² + 95x + 450 ft², which we can represent as a rectangle.
The Recreation area has an area of x² + 35x + 300 ft², which we can represent as a triangle.
Therefore, the total area of the park is the sum of the areas of the rectangle and triangle.
Total Area = Area of Rectangle + Area of Triangle
Total Area = (x + 15)(x + 30) + (1/2)x(x + 35)
Total Area = 3x^2 + 175x + 1200 ft^2
Thus,
Both methods should give us the same total area of 3x² + 175x + 1200 ft².
Learn more about expressions here:
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#SPJ2
Help me on this please
Answer:
c
Step-by-step explanation:
58 8.6 1.5.
What is the value of x in the figure
below?
I AM BEGGING YOU
Hey there!
The correct answer is 50 degrees.
To do this, we can figure out all the angles in the triangle. We know one angle: 45 degrees. To find the angle above that angle, we can use the 95 degrees and use linear angles to figure out that missing angle.
A linear pair adds up to 180 degrees, which means that 95 + (missing angle) = 180. 95 + 85 = 180. Therefore, we have two of the three angles in the triangle.
In a triangle, the number of angles adds up to 180 degrees, which means that 45 + 85 + (angle across from x) = 180. 45 + 85 + 50 = 180.
Now we have all the angles in the triangle.
With that information, we can use vertical angles to solve for x. If there are two lines that intersect, the angles opposite eachother are always equal. The angle opposite of x is 50; therefore x is equal to 50 degrees.
Have a terrificly amazing day! :D
Find the measure of angle F
Answer:
∠ F = 80°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 6 , then
sum = 180° × 4 = 720°
Sum the interior angles and equate to 720
7x + 7x + 4x + 7x + 7x + 4x = 720
36x = 720 ( divide both sides by 36 )
x = 20
Then
∠ F = 4x = 4 × 20° = 80°
Veronica is an English tutor. She charges $60 for each tutoring session plus $0.75 per mile that she has to drive to and from the session. Write an equation to represent this situation. Explain how you got your equation.
Answer:[tex]60+0.75x[/tex]
Step-by-step explanation:
Given
Veronica charges $60 for each tutoring session
Also, there is an additional charge of $0.75 per mile
Suppose she drive x miles and the total cost is represented by C
the additional cost of driving is [tex]0.75\times x=0.75x[/tex]
[tex]\therefore[/tex] The total cost for the session will be the sum of fixed cost and variable driving cost
[tex]\Rightarrow C=60+0.75x[/tex]