Answer:
$12487.86
Step-by-step explanation:
Given data
Cost of car= $22,730
Rate of decrease= 9.5%
Time= 6 years
We can predict the value by using the exponential decay function'
A= P(1-r)^t
substitute
A= 22730(1-0.095)^6
A= 22730(0.905)^6
A= 22730*0.5494
A=$12487.86
Hence the value will be $12487.86
The length of a rectangular lot is 6 feet less than 3 times its
width. Its area is 222 square feet.
Its width is
feet and its length is
feet.
Answer:
Length = 22.98 feet
Width = 9.66 feet
Step-by-step explanation:
Let the length of the rectangle be L.
Let the width of the rectangle be W.
Given the following data;
Area of rectangle = 222 feet²
Translating the word problem into an algebraic expression, we have;
L = 3W - 6 ...... equation 1
We know that the area of a rectangle is given by the formula;
A = L * W
Substituting
222 = L * W ....equation 2
Substituting eqn 1 into eqn 2, we have;
222 = (3W - 6) * W
222 = 3W² - 6W
Rearranging the equation, we have;
3W² - 6W - 222 = 0
Next, we would use the quadratic formula to solve for the roots.
Note: the standard form of a quadratic equation is ax² + bx + c = 0
a = 3, b = -6 and c = -222
Solving the quadratic equation using the quadratic formula;
The quadratic equation formula is;
[tex] x = \frac {-b \; \pm \sqrt {b^{2} - 4ac}}{2a} [/tex]
Substituting into the equation, we have;
[tex] x = \frac {-(-6) \; \pm \sqrt {6^{2} - 4*3*(-222)}}{2*3} [/tex]
[tex] x = \frac {6 \pm \sqrt {36 - (-2664)}}{6} [/tex]
[tex] x = \frac {6 \pm \sqrt {36 + 2664}}{6} [/tex]
[tex] x = \frac {6 \pm \sqrt {2700}}{6} [/tex]
[tex] x = \frac {6 \pm 51.96}{6} [/tex]
[tex] x_{1} = \frac {6 + 51.96}{6} [/tex]
[tex] x_{1} = \frac {57.96}{6} [/tex]
x1 = 9.66
We do not need the negative value of x, so we proceed.
Therefore, Width, W = x1 = 9.66 feet
For the length;
L = 3W - 6
L = 3(9.66) - 6
L = 28.98 - 6
L = 22.98 feet
How many solutions does this equation have? -2-5x= -(5x+2)
Answer:
Infinite solutions
Step-by-step explanation:
A linear equation is given to us and we need to tell the no. of solutions. The equation is ,
=> -2-5x = - ( 5x +2)
If we look at RHS , negative sign is present outside the brackets .On opening the brackets , we have ,
=> -(5x) -(+2)
=> -5x -2
=> -2 - 5x
This is similar to LHS and hence they will represent same line . Hence they will have infinitely many solutions .
They have infinitely many solutions .Complete the pattern. 33, 44, 55, 66, ___, ___
Answer:
33,44,55,66,77,88
Hope this helps!!!!!!!
A motorboat travels 102 miles in 3 hours going upstream. It travels 186 miles going downstream in the same amount of
time. What is the rate of the boat in still water and what is the rate of the current?
Rate of the boat in still water:
Rate of the current:
Answer:
Rate in still water = 48 mph.
Rate of current = 14 mph.
Step-by-step explanation:
Let the rate in still water be x and rate of the current be y miles per hour.
Upstream:
x - y = 102/3
Downstream:
x + y = 186/3
Adding the 2 equations
2x = 102/3 + 186/3 = 34 + 62
2x = 96
x = 48 mph.
So 48 - y = 34
y = 48 - 34 = 14 mph.
Lauren went to a store to buy some clothes. The shirts were selling at a 20% discount. A pair of pants cost $5 less than 3 times the original cost of a shirt.
If she spent $36 in all, what was the original cost of a shirt?
Answer:
OMG
Step-by-step explanation:
I had the same question
Answer:
$10.79
Step-by-step explanation:
x = original cost of one t shirt
We can build this equation
x - (20/100) x + 3x- 5 = 36
-1/5x + 4x = 41
-x + 20x = 205
19x = 205
x = $10.79
What is the y intercept calculator for 3y=2x +6
Answer:
The Y-axis intercept is 2
Step-by-step explanation:
Answer:
The y-intercept is 2
Step-by-step explanation:
Given: 3y=2x+6
Convert to y=mx+b form: y=2/3x+2
Therefore, the y-intercept is 2.
can someone solve for x please
Answer:
x=-4
Step-by-step explanation:
The two lines are parallel, so the two angles, 45 and x+49 are equal too
Lets make the equation
x+49 = 45
x = 45-49
x = -4
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
solve the equation
z³=18+26i
where z=x+yi, x and y are integers
Determine whether each expression is equivalent to 64^t^3-0.5t
Answer:
Step-by-step explanation:
Plz don’t delete my questions,plz help me!! Or eles I won’t get to play games!URGENT!!
I need help pleasee!!!!
Answer:
Your answer is c
Step-by-step explanation:
the two inequalities are x =< 1 and x =>2 which is shown by the number line in option c
80% of what number is 960? Answer pls
Answer: 1200
Step-by-step explanation:
80% × x = 960
or,
80
100
× x = 960
Multiplying both sides by 100 and dividing both sides by 80,
we have x = 960 ×
100
80
x = 1200
Answer:
Answer: 1200 eeeeeeeee
What is the prime factorization of 156?
18. A square board has an area of 95.63 square inches. Which is
closest to the length of one side of the board?
F 10 in
G9 in
H 48 in
) 24 in
Answer:
10 in
Step-by-step explanation:
What is the magnitude of -5+ 12i?
Here the picture, :D
The magnitude of the complex number -5 + 12i is 13 which we obtained by using formula, Magnitude [tex]= \sqrt{ a^2 + b^2}[/tex].
To find the magnitude of a complex number in the form of a+bi, where a and b are real numbers, the formula can be used is:
Magnitude = |a+bi|
[tex]= \sqrt{ a^2 + b^2}[/tex]
The given complex number is -5 + 12i.
we have a = -5 and b = 12.
Plugging these values into the formula, we get:
Magnitude = | -5 + 12i |
[tex]= \sqrt{ (-5)^2 + 12^2}[/tex]
[tex]= \sqrt{ 25 + 144}[/tex]
[tex]= \sqrt{ 169}[/tex]
= 13
Therefore, the magnitude of -5 + 12i is 13.
To learn more on Complex numbers click here:
https://brainly.com/question/20566728
#SPJ4
Rewrite the function f(x) =-4(x+3)2-2 in the form f(x) = ax?+bx+c.
| f(x) = 1
Х
X
?
Answer:
Step-by-step explanation:
https://www.alvinisd.net/cms/lib/TX01001897/Centricity/Domain/436/Math%201314.61%20Quiz%20Solutions.pdf it will give u the answer trust me
The following is an arithmetic series.
31+33.5+36+38.5+...
O True
O False
9514 1404 393
Answer:
True
Step-by-step explanation:
It is the sum of numbers having a common difference. The fact that it is a sum makes it a series (as opposed to a sequence, which is just a list of numbers). The common difference (of 2.5) makes it an arithmetic series.
True, the sum is an arithmetic series.
Evaluate the expression for x^2×x^1 for x=9
Answer:
729
Step-by-step explanation:
x^2*x^1 = (9)^2 * (9)^1
= (9)^3
= 729
r = 3.7 m.
Calculate the circumference of the circle.
Answer: 23.25m
Step-by-step explanation:
C=2πr=2·π·3.7≈23.24779m
In the triangle below, what is the length of the side opposite the 60° angle?
A. /3
B. 3/3
C. 6
D. 2/3
Step-by-step explanation:
[tex] \tan(60 \degree) = \frac{opposite}{3} \\ opposite = 3 \tan(60 \degree) \\ = 3 \sqrt{3} [/tex]
Ria works in a paint shop.
She needs to make 1500ml of purple paint.
Ria makes purple paint by mixing red paint and blue paint and white paint in the ratio 3 : 2 : 1
How much blue paint does Ria need to make 1500 ml of purple paint?
Answer:
the answer is 500ml
Step-by-step explanation:
1500/3=500
what is the polynomial degree for 7,8+6,5-4
Answer:
7
,
14
,
1
Step-by-step explanation:
Help me please, I need this
321,300,0
Multiply 20x17x15x18x35
20×17= 340
5×18= 90
340+90= 430
answer 430 km
i hope this helps ^^
Penny works 44 hours at an hourly rate of $8.50. She was paid time and a half for the overtime of 4 hours. What were her total wages?
Answer:
Time and a half pay is 50% more than an employee's regular rate of pay. For every hour of overtime an employee works, you must give them their regular rate of pay plus half of that. To calculate an employee's overtime rate of pay, multiply their regular rate by 1.5.
Step-by-step explanation:
The factory receives an order for more than 1,100 boxes. Machine B has already packed 55 boxes. Write and solve an inequality to find the amount of time it will take Machine B to pack the additional boxes that are needed for the order, assuming none of the boxes are defective.
Answer:
no lo sé pero te ayudaría si lo supieraWhich of the following are binomials? Check all that apply.
A. x^3+ 8 + y
B. -x + 24
C. x^11
D. x + (3/x)
E. x^8
F. x + 3
Answer:
B D F are the binomials
Step-by-step explanation:
hope it helps
Use multiplication to create an equivalent fraction for 2/5
Answer:
4/10
Step-by-step explanation:
2/5 times 2/2
Make sure To multiply with the SAME denominators and numerators.
I hope this helps!!
Answer:
6/15
Step-by-step explanation:
2/ 5 x 3/3 = 6/15
Note that to find equalivalent fractions multiply “BOTH” the numerator and the denominator
I want to know how to do 11/13+44/39
Answer:
I'm pretty sure that the answer is 1.97
[tex] \frac{11}{13} + \frac{44}{39} [/tex]
11/13 ×3
11×3=33
13×3=39
11/13=33/39
33/39+44/39
= 77/39
77÷39
=
[tex]1 \frac{38}{39} [/tex]
I need help with this question please
help please help please