Answer:
$22554.45
Step-by-step explanation:
Since we are given a function to use to find the cost of the car, we first need to find the difference in the years 2017 and 2010
2017 - 2010 = 7
So our value for t will be 7.
We can use the formula because it still falls under the expected increase within the 10 year range.
So now let's substitute t in the function.
[tex]f(7) = 15000*(1.06)^{7}[/tex]
[tex]f(7) = 22554.45[/tex]
So it will cost the company $22554.45 to build the car in 2017.
The cost to build the car in 2017 is $22,554.45.
1. Identify the given function:
[tex]\[ f(t) = 15000 \times (1.06)^t \][/tex]
2. Substitute [tex]\( t = 7 \)[/tex] into the function:
[tex]\[ f(7) = 15000 \times (1.06)^7 \][/tex]
3. Calculate [tex]\( (1.06)^7 \):[/tex]
[tex]\[ (1.06)^7 \approx 1.50363 \][/tex]
4. Multiply by the initial cost:
[tex]\[ f(7) = 15000 \times 1.50363 \approx 22554.45 \][/tex]
What is the measure of an arc intercepted by an inscribed angle whose measure is 88 degrees
44
88
176
None of the above
Answer:
[tex]176\°[/tex]
Step-by-step explanation:
we know that
The inscribed angle is half that of the arc it comprises.
so
In this problem
Let
x-----> the measure of an arc intercepted by an inscribed angle
[tex]88\°=\frac{1}{2}(x)[/tex]
[tex]x=2(88\°)=176\°[/tex]
Option (C) The intercepted arc of an inscribed angle measuring 88 degrees has a measure of 176 degrees, which is twice the size of the inscribed angle according to the Angular Measurement of Arcs property.
The measure of an arc intercepted by an inscribed angle is twice the measure of the inscribed angle. Given that the inscribed angle measures 88 degrees, the intercepted arc would therefore measure 176 degrees. This is because according to the Angular Measurement of Arcs property, an arc's measure is twice that of its corresponding inscribed angle (Theorem 7 in the reference material).
PLEASE ANSWER ASAP!!!
How do states with no personal income tax raise money money for public services?
Answer:
States with no personal income tax raise money for public services through their property tax.
Step-by-step explanation:
Answer:
States with no personal income tax raise money for public services through their property tax.
Step-by-step explanation:
Step-by-step explanation:
PLEASE HELP!!!
1. A bag contains 10 identical balls numbered from 1 to 10. What is the probability that a person reaches into the bag and randomly selects a ball with a number that is a multiple of 3?
2. A bag contains 10 identical balls numbered from 1 to 10. What is the probability that a person reaches into the bag and randomly selects a ball with a number that is EVEN?
Enter your answer as a fraction in simplest form
Hello there (:
1)) Is 3/10
2)) Is 1/2
I hope this helps ya ;)
Solve x/3 = x+2/2
x=?
Answer:
x = -6
Step-by-step explanation:
∵ [tex]\frac{x}{3}=\frac{x+2}{2}[/tex]
* These are two equivalent fractions
we can solve by using cross-multiplication way
that means we multiply x by 2 and multiply (x + 2) by 3
∴ 2(x) = 3(x + 2)
* Take care about the multiplication of 3(x + 2) you must
multiply 3 by x and also multiply 3 by 2
∴ 2x = 3x + 6
* Now lets start to collect the like terms
∴ 2x - 3x = 6
∴ -x = 6
* Divide the both sides by -1
∴ x = -6
x = -3/2 (Or) x = -1.5
First apply the rule a/a = 1
2/2 = 1
x/3 = x +1
Multiply both sides by 3
(x/3 * 3) = (x * 3) + (1 * 3)
Simplify
x = 3x + 3
Subtract 3x from both sides
(x - 3x) = (3x + 3 - 3x)
Simplify
-2x = 3
Divide both sides by -2
(-2x / -2) = (3 / -2)
Simplify
x = -3/2
(Decimal: x = -1.5)
Circle A has radius 4 feet. Circle B has radius 9 feet. What is the ratio of the area of circle A to the area of circle B?
23
49
827
1681
Answer:
[tex]\large\boxed{\dfrac{16}{81}}[/tex]
Step-by-step explanation:
The formula of an area of a circle:
[tex]A=\pi r^2[/tex]
r - radius
Circle A:
radius = 4 ft. Substitute:
[tex]A_A=\pi(4^2)=16\pi\ ft^2[/tex]
Circle B:
radius = 9 ft. Substitute:
[tex]A_B=\pi(9^2)=81\pi\ ft^2[/tex]
The ratio:
[tex]\dfrac{A_A}{A_B}=\dfrac{16}{81}[/tex]
Prove: If a chord of a circle makes an angle of 30° with a diameter, prove that the distance from the center to the chord is one-fourth the length of the diameter.
Answer:
See explanation.
Step-by-step explanation:
Let BC be the diameter of the circle with center at point O, AB be the chord and ∠ABC=30°. OD is the distance from the center to the chord.
Consider triangle BDO. This triangle is special 30°-60°-90° right triangle. The leg OD is opposite to the angle of 30° and is half of the hypotenuse. The hypotenuse of the triangle BDO is BO. BO is the radius of the circle and is equal to half of the diameter AB. Thus,
[tex]OD=\dfrac{1}{2}BO=\dfrac{1}{2}\cdot \dfrac{1}{2}AB=\dfrac{1}{4}AB.[/tex]
solve this equation for x. round your answer to the nearest 0 = ln (x+6)
Answer: [tex]x=-5[/tex]
Step-by-step explanation:
To solve this exercise you need to remember the following:
[tex]e^{lnx}=e^{lny}[/tex] → [tex]x=y[/tex]
Therefore, keeping the above on mind, you can solve for x as following:
[tex]e^0=e^{ln(x+6)}[/tex]
[tex]e^0=x+6[/tex]
Remember that, by definition: [tex]a^0=1[/tex], then you have:
[tex]1=x+6[/tex]
Subtract 6 from both sides of the equation.
Then the value of x is:
[tex]1-6=x+6-6\\x=-5[/tex]
what is the scale factor
Answer:
The scale factor is 1/3
What is the solution of the system of equations?
y = x - 10
y = 2x + 5
Final answer:
To solve the system of equations y = x - 10 and y = 2x + 5, we equate both expressions for y, solve for x, and find x = -15. Substituting x back into either equation gives y = -25, making the solution (x, y) = (-15, -25).
Explanation:
The question seeks the solution of the system of equations given by y = x - 10 and y = 2x + 5.
To find the solution, one can use the substitution method, where the expression for y in one equation is substituted into the other equation.
This gives us two equations stated to have the same value of y, which means they can be set equal to each other: x - 10 = 2x + 5.
Solving this equation for x involves moving x terms to one side and constants to the other, yielding x = -15. Substituting x back into either original equation (e.g., y = x - 10), we find y = -25.
Thus, the solution to the system of equations is x = -15 and y = -25.
What is the area of the trapezoid?
Answer:
Hi there!
I got the answer: 88 units^2
Step-by-step explanation:
to find the area you the formula: A=(a+b)/2 times height
"a" in this case is 17 and "b" is 27 because 5+5+17 is 27
height is 4
then you plug what you know into the equation
(17+27)/2 times 4 to get 88
write a division equation to represent the repeated subtraction for 32 take away 8 is 24
Answer:
32÷8
Step-by-step explanation:
Division is like repeated subtraction
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The problem that would repeatedly take away 8 from 32 is 32÷8
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The same is true for 25÷5, it is asking how many times can 5 be taken away from 25, hence repeated subtraction
Four less than the product of 5 and a number is equal to 9 . Use the variable (w) for the unknown number
Answer:
w = 13/5
Step-by-step explanation:
The equation is : 5w-4=9
Then we add 4 to each side
5w = 13
Then we divide by 5
w = 13/5
-2x+15y=-24
2x+9y=24
solve the system of equation
Answer:
x = 12, y = 0
Step-by-step explanation:
Use elimination.
24y = 0
y = 0
Then plug back into the second equation.
2x + 9(0) = 24
2x = 24
x = 12
Plug back into the first equation to check.
Select all that apply
Which of the following names a ray in the drawing
Answer:
CB And A F
Step-by-step explanation:
Answer:
The answer is CB.
Step-by-step explanation:
A ray is a line that starts from a point and travels in a particular direction to infinity.
Here, CB is the ray as it is originating from a point C and travelling up to infinity in a single direction beyond B.
The ray is represented by a arrow in one direction.
Help me with this !!!!!!
Answer:
Step-by-step explanation:
Solve
b = 3/4a
a + b = 21
Answer:
(12, 9)
Step-by-step explanation:
Please enclose fractions inside parentheses in cases such as this one. You meant b = (3/4)a, not b = 3/(4a).
To solve this system, subst. (3/4)a for b in the 2nd equation, obtaining:
a + (3/4)a = 21.
Mult. all 3 terms by 4 to eliminate the fraction 3/4:
4a + 3a = 84
combining like terms: 7a = 84
Solving for a: a = 84/7 = 12.
If a = 12, b = (3/4)a = (3/4)(12) = 9
The solution is (12, 9)
Answer:
a=12
b=9
Step-by-step explanation: Just did it on i-ready and got it right.
The diameter of your bicycle wheel is 34 inches. What is it’s radius
Answer:
17 inches
Step-by-step explanation:
1/2(diameter)=radius
1/2(34)=radius
17 inches
Macy was asked to compare the two ratios 4:5 and 19 to 30.
Answer:
Macy did not find the correct equivalent fraction with denominator 30.
Step-by-step explanation:
We need to compare two ratios 4:5 and 19:30.
First we will write them in the form of fraction:
[tex]\displaystyle\frac{4}{5} \text{ and } \displaystyle\frac{19}{30}[/tex]
Now, in order to compare these ratios, we fave to make their denominators equal that is find equivalent fraction with denominator 30.
[tex]\displaystyle\frac{4\times 6}{5\times 6} \text{ and } \displaystyle\frac{19}{30}[/tex]
[tex]\displaystyle\frac{24}{30} \text{ and } \displaystyle\frac{19}{30}[/tex]
Now, we have to compare the two fractions on the basis of their numerators.
It is clear that:
[tex]\displaystyle\frac{24}{30} > \displaystyle\frac{19}{30}[/tex]
A can of juice has a diameter of 6.6 centimeters and a height of 12.1 centimeters. What is the total volume of a six-pack Of juice cans?
It was a cylinder shape
volume of cylinder is
[tex] = \pi {r}^{2} h[/tex]
Radius of the can
=6.6÷2
=3.3
Volume of 6 can
[tex]6(3.142 \times {3.3}^{2} \times 12.1) \\ = 6(3.142 \times 10.89 \times 12.1) \\ = 6(34.21638 \times 12.1) \\ = 6(414.018198) \\ = 2484.109188 \\ = 2484.11 \: (2d.p.)[/tex]
Answer
2484.11
a shop rents out bikes for $12 a day and also charges for $9 an hour for people to use.if chimmy chong rented a bike and the total bill came out to be $75, for how long did he rent the bike out for?
Answer:
7 Hours
Step-by-step explanation:
$75-$12 per day is 63
$63 divided by $9 per hours is 7
Hope this helps and have a blessed day!
Which of the following graphs is decreasing for all values of x?
A. X
B. Y
C. Z
D. W
Answer:
y
Step-by-step explanation:
please give branleist
Graph-Y is decreasing from the beginning for all the values of 'x'.
What is the graph of an equation?The graph of an equation represents the nature of that equation by plotting the points.
Four graphs W, X, Y, and Z are given.
1. Graph-W is constant up to a certain values of 'x'. After that it is increasing for the rest of the values of 'x'.
2. Graph-X is increasing from the beginning. After that it is constant for certain values of 'x'. Then the graph is increasing.
3. Graph-Y is decreasing from the beginning for all the values of 'x'.
4. Graph-Z is increasing from the beginning. After that it is decreasing.
Learn more about the graph of an equation here: https://brainly.com/question/16877400
#SPJ2
a factory buys the boxes it needs to form of flat nets. What advantages might the factory have in doing t his?
THE ADVANTAGE IS: They can store more containers for higher stocks and space.
A child’s pool is in the shape of a rectangular prism with a height of 2 ft and a base that is 4 ft wide by 5 ft long. During the course of the summer, the child’s pool needed to be filled 3 times.
How many cubic feet of water were needed to fill the pool during the summer?
A. 40 ft³
B. 80 ft³
C. 120 ft³
D. 160 ft³
Answer:
C. 120 ft^3
Step-by-step explanation:
Area of rectangular prism is Length * Width * Height.
4 * 5 * 2 = 40
It was filled 3 times so multiply 40 by 30
40 * 30 = 120 ft^3
You move down 3 units and up 7 units. You end at (-5, 2). Where did you start?
Answer: (-5, -2) is where you started.
Question 3 mathematics
Answer:
Part a) The area of the shaded region is [tex]41\ ft^{2}[/tex]
Part b) The area of the nonshaded region is [tex]87\ ft^{2}[/tex]
Step-by-step explanation:
we know that
The total area is equal to the area of the shaded region plus the area of the nonshaded region
step 1
Find the total area
The total area is equal to the area of the rectangle
[tex]A=8(16)=128\ ft^{2}[/tex]
step 2
Find the area of the shaded region
The area of the shaded region is equal to the area of the trapezoid minus the area of the smaller square
so
[tex]A=\frac{1}{2}[(8-2)+3)](8+2) -2^{2} \\ \\A=\frac{1}{2}[9](10) -4\\ \\A=41\ ft^{2}[/tex]
step 3
Find the area of the nonshaded region
The area of the nonshaded region is equal to the total area minus the area of the shaded region
so
[tex]A=128\ ft^{2}-41\ ft^{2}=87\ ft^{2}[/tex]
Erica is cutting out snickerdoodle cookies with a circular cutter. The cutter has a diameter of 4 centimeters. What is the cutter's radius?
The radius is one half of the diameter.
Divide the diameter by 2 for the radius.
Radius = 4 centimeters / 2 = 2 centimeters.
Answer:
2 centimeters
Step-by-step explanation:
Circle
r=2cm
Using the formula
d=2r
Solving for r=d
2=2cm
The ratio of the perimeters of two rectangles is 5 to 8 . the perimeter of the larger rectangle is 72 inches. What is the perimeter of the smallest triangle?
ANSWER
45 inches.
EXPLANATION
Let the perimeter of the smaller rectangle be x.
Then, the ratio of the perimeter of the smaller rectangle to the larger rectangle is
[tex]x:72=5:8[/tex]
We change the ratio to fraction to obtain,
[tex] \frac{x}{72} = \frac{5}{8} [/tex]
Multiply both sides by 72.
[tex]x = \frac{5}{8} \times 72[/tex]
[tex]x = 5 \times 9 = 45[/tex]
The perimeter of the smaller rectangle is 45 inches.
Answer:
45 inches
Step-by-step explanation:
The 72 inches is 8 parts of the ratio, hence
[tex]\frac{72}{8}[/tex] = 9 inches ← 1 part of the ratio
5 parts = 5 × 9 = 45 inches ← smaller perimeter
please help me find the surface area of the triangular prism ( number 3)
Check the picture below.
so the triangular prism is really 3 rectangles and two triangles stacked up to each other at the edges, so if we simply get the area of each figure individually and sum them up, that's the area of the prism.
let's notice, the triangles have a base of 2.4 and a height/altitude of 1.
[tex]\bf \stackrel{\textit{2 triangles's area}}{2\left[ \cfrac{1}{2}(2.4)(1) \right]}~~+~~\stackrel{\textit{right rectangle}}{(2\cdot 1.5)}~~+~~\stackrel{\textit{left rectangle}}{(2\cdot 1.7)}~~+~~\stackrel{\textit{bottom rectangle}}{(2\cdot 2.4)} \\\\\\ 2.4+3+3.4+4.8\implies 5.4+8.2\implies 13.6[/tex]
please help
Jen slices a cone with a height of 10 centimeters and a radius of 4 centimeters using a plane that is perpendicular to the base and that passes through the vertex of the cone. What is the area of the cross-section in square centimeters?
A cone that is sliced through the vertex would make the shape of a triangle.
You are told the h eight is 10 cm and the radius is 4 cm.
The radius would be half the base, so the base would be 4 * 2 =8 cm.
The area of the triangle is found by multiplying the base by the height, then dividing by two.
Area = 8 x 10 = 80
80 / 2 = 40 square centimeters.
Answer:
A cone that is sliced through the vertex would make the shape of a triangle.
You are told the h eight is 10 cm and the radius is 4 cm.
The radius would be half the base, so the base would be 4 * 2 =8 cm.
The area of the triangle is found by multiplying the base by the height, then dividing by two.
Area = 8 x 10 = 80
80 / 2 = 40 square centimeters.
Step-by-step explanation:
Please help me answer this question!!! and explain bc im very stupid and my grades are low. 15 points
Answer:
17
Step-by-step explanation:
The top angle is 90 degrees, so I would assume that m<1 is 90 degrees. Plugging this into the equation gives us 90 = 4y + 22. Subtract 22 from both sides, and we get 68 = 4y. Divide both sides by 4, and we get 17 = y.