The depreciated value of the car after 12 years that Kyle buys for $58,000 today, which declines 23% annually, will be $2,520.
What is depreciation?Depreciation is the reduction or decrease in the value of an asset over time.
Depreciation occurs because an asset is put to use, and undergoes wear and tear.
The current price of the car = $58,000
The annual depreciation rate = 23%
The depreciated value after one year = 0.77 (1 - 23%)
Let the number of years of depreciation = x
The worth of the car after 12 years = 58,000 x 0.77^x
= 58,000 x 0.77^12
= 58,000 x 0.04344
= $2,519.52
= $2,520
The car's depreciated value can be modeled by the exponential function (decay) abˣ, which yields $2,520 in this situation.
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Consider the diagram.
2 triangles are connected at their hypotenuse to form a rectangle. The rectangle has a length of 7 meters and width of 6 meters.
Mia plans to build a fence to divide her rectangular garden into two triangular areas. Use the diagram to find the length of fence she will need to divide the garden. Round up to the nearest hundredth.
Mia will need a fence that is
meters long.
The length of fence she will need to divide the garden is 9.22 m.
What is a Rectangle?A Rectangle is a quadrilateral having four sides and four right angles in which both sides are parallel and opposite to each other.
Pythagoras TheoremThe Pythagorean Theorem states that the sum of the squared sides of a right triangle equals the length of the hypotenuse squared.
Let us consider the length of the fence be 'x'
Using Pythagoras Theorem,
x² = 6² + 7²
[tex]x^{2} =36+49\\x^{2} = 85[/tex]
x = 9.22 m
So, the length of fence is 9.22 m.
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Answer:
9.22
Step-by-step explanation:
edge
An isosceles triangle has an angle that measures 52°. What measures are possible for the other two angles?
100 and 28 (a lot of others)
Step-by-step explanation:
Since the inside angles of a triangle equals 180 we can just do 180-52 which is 128 after that you can make any pair you want :)
help me with this PLACE
Draw a quadrilateral that has two 60 degree angles and two 120 degree angles.
Answer:
Step-by-step explanation:
Draw a straight line.
Then draw 2 lines of equal length from the 2 ends of the line at angles of 120 degrees going up and apart.
Then draw the fourth line joining the ends of these 2 lines.
The 2 angles formed will equal 60 degrees.
The quadrilateral formed is a trapezoid.
plspls help i will give u brainliest!!!! answer questions correctly please.
17-(-5)=
(-12)+(-6)=
8(-5)=
-72 divided by (-9)=
1/9+3/8
-2 1/2+(-5 3/4)
3 2/3-1 5/6
-4/5-2/3
-3 1/4 x 2 2/3
-5/9 x -2/9
1 7/8 divided by 3
-1/3 divided by 7/8
you will get brainliest please give right answers i need a good grade in this!!
i only have 11 points im sorry
but you will get the best rating and brainliest
I need help! It is for a task.
[tex]\text{Given that,}~ q =-4~ \text{and}~ g =1\\\\~~~~~\dfrac{6q}{4}(6g) -q\\\\\\=\dfrac{6(-4)}{4}(6\cdot 1) - (-4)\\\\\\=-6\cdot 6 +4\\\\\\=-36 +4 \\\\\\=-32[/tex]
Step-by-step explanation:
6q/4 (6g) - q
6(-4)/ 4 [6(1)] - (-4)
-24/4 (6) + 4
-6(6) + 4
-36 + 4
-32
Plot the quadrilateral abcd under a reflection across the y axis
Answer:
the answer is down below
Step-by-step explanation:
(a) A farmer has x apple trees which produce 25 kg of apples per tree. Write an expression,b
in terms of x, for the total mass of apples produced.
(b) He uses 800 ml of fertiliser for each tree. The fertiliser is sold in 5-litre containers.
Write down an expression, in terms of x, for the number of containers of fertiliser
required, given that there is no left-over.
(c) Each container costs $90. If the total cost of the fertiliser is $648,
(i) form an equation in x.
(ii) Solve this equation to find the number of apple trees
Answer:
the number of apple trees = 45
Step-by-step explanation:
a) the total mass of apples produced = 25x
b) the number of containers of fertilizer required :
[tex]=\frac{0.8x}{5} \\= 0.16x[/tex]
c)
(i) the equation :
648 = 90 × (0.16x)
⇔ 648 = 14.4x
(ii) solving :
648 = 14.4x
⇔ x = 648 ÷ 14.4
= 45
Drag the tiles to the correct boxes to complete the pairs.
Match each equation with its solution. Log(x-1)+log5x=2
Answer:
see attached
Step-by-step explanation:
We prefer to solve these by rewriting the equations to the form f(x) = 0, then having a graphing calculator show us the x-intercepts of f(x). This is illustrated in the second attachment.
__
The applicable rules of logarithms are ...
log(a) +log(b) = log(ab) . . . for logs of any baselog(a) = b ⇔ 10^b = aln(e^a) = alog(a) = log(b) ⇔ a = b . . . . for a > 0 and b > 0We can apply these rules to the given expressions to solve for x algebraically.
__
log(x-1) ...Taking antilogs, we have ...
(x -1)(5x) = 10^2 = 100
x(x -1) = 20 . . . . . . . . . . . divide by 5
x² -x -20 = 0 . . . . subtract 20, put in standard form
(x -5)(x +4) = 0 . . . . factor
x = 5 or x = -4 . . . . . . the latter is an extraneous solution
x = 5 only
__
ln(x +5) ...Taking antilogs, we have ...
x +5 = (x +1)(x -1)
x² -x -6 = 0 . . . . . . . subtract (x+5), write in standard form
(x -3)(x +2) = 0 . . . . factor
x = 3 or x = -2 . . . . . . the latter is an extraneous solution
x = 3 only
__
e^x² ...Taking natural logarithms, we have ...
x² = 4x +5
x² -4x -5 = 0 . . . . . write in standard form
(x -5)(x +1) = 0 . . . . factor
x = 5 or x = -1 . . . . values that make the factors zero
__
log₄(5x² ...Taking antilogs, we have ...
5x² +2 = x +8
5x² -x -6 = 0 . . . . . write in standard form
(5x -6)(x +1) = 0 . . . . factor
x = 6/5 or x = -1 . . . . values that make the factors zero
_____
Additional comment
A solution is extraneous when it does not satisfy the original equation. Here, solutions are extraneous because they make the argument of the log function be negative in the original equation. The log function is not defined for negative arguments. (Actually, it gives complex values for negative arguments.)
We could have gone to the trouble to determine the applicable domain of each of the log equations. It is easier to (a) use a graphing calculator, or (b) test the solutions found.
What is the exact area of a circle having diameter 3 in.?
Answer:
7.065 in^2
Step-by-step explanation:
Answer:
7.06858...in²
if we are using 3.14
7.065in²
Step-by-step explanation:
3 / 2 = 1.5
A = πr²
A = π(1.5²)
A = π(2.25)
A = 7.068in²
(if we are using 3.14 for pi)
A = πr²
A = 3.14(1.5²)
A = 3.14(2.25)
A = 7.065in²
What is the distance between the two points?
Which of the three following graphs display the same data? i. a bar graph titled county voter turnout (thousands) has year on the x-axis and number on the y-axis. 1992, 99; 1996, 107; 2000, 103; 2004, 97; 2008, 98. ii. a line graph titled county voter turnout (thousands) has year on the x-axis and number on the y-axis. 1992, 99; 1996, 107; 2000, 103; 2004, 97; 2008, 98. iii. a circle graph titled county voter turnout (thousands). cuyahoga county, 99; maricopa county, 107; fort bend county, 103; susquehanna county, 97; clark county, 98. a. i and ii b. i and iii c. ii and iii d. i, ii, and iii
The graphs that display the same data are a. I and II
What is Data Representation?This refers to the different ways in which a set of data are displayed in a certain place such as a bar graph, frequency table, line graph, etc.
Hence, we can see that from the evaluation of the data, there is the use of the same data in I and II as the bar and line graphs contain the same country voter turnout.
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Answer:
a
Step-by-step explanation:
If six pounds of pinto beans, priced at $2.00 per pound, are combined with four pounds of lima beans, priced at $3.00 per pound, what is the per-pound price of the resulting bean mix
The per-pound price of the mix must be: P = $2.40 per lb.
What is the per-pound price of the resulting bean mix?
To get it, we need to take the total amount of money used in the mix, and divide it by the mass of the mixture that we get.
We will use 6lb of pinto beans, where each lb costs $2.00, so the total cost of this part is:
6*$2.00 = $12.00
We also use 4 lb of lima beans, where each pound costs $3.00, so the total cost of this part is:
4*$3.00 = $12.00
Then the total cost of the mix is $12.00 + $12.00 = $24.00
And the the mix has a total mass of 6lb + 4lb = 10lb
Then the per-pound price of the mix must be:
P = $24.00/10lb = $2.40 per lb.
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What is the mode for the data set?
27, 21, 24, 21, 26, 28, 25, 21, 27, 29, 24
Answer: 21
Step-by-step explanation:
Mode is the value that appears most often in a set of data values.
Write the numbers in your data set from least to greatest.21, 21, 21, 24, 24, 25, 26, 27, 27, 28, 29
Count the number of times each number is repeated and identify the value(s) that occur most often. In this case, 21 repeated 3 times.Answer:
The mode for the data set is 21
Step-by-step explanation:
The more type of numbers that you see in a data set is the mode... like for example- the data set 1, 1, 1, 5, 6, 7, 5
1 is the mode because there are more 1's than any number in the data set.
Your welcome! ;D
50 points --- will give brainliest
Answer:
Add the fractions together on the right side of the equation.
Step-by-step explanation:
Notice that two fractions on the right side of the equation in the previous step have the same denominator. If two fractions have the same denominator, we can simply add the numerators together and place that over the common denominator.
[tex]\implies \sf-\dfrac{4ac}{4a^2}+\dfrac{b^2}{4a^2}=\dfrac{-4ac+b^2}{4a^2}[/tex]
Finally, change the order of the terms in the numerator so that [tex]\sf b^2[/tex] is first:
[tex]\implies \sf-\dfrac{4ac}{4a^2}+\dfrac{b^2}{4a^2}=\dfrac{-4ac+b^2}{4a^2}=\dfrac{b^2-4ac}{4a^2}[/tex]
Therefore, the solution is:
Add the fractions together on the right side of the equation
How many milligrams are equal to 63 grams? 63,000 milligrams 6,300 milligrams 630,000 milligrams 630 milligrams
Answer:
63,000 milligrams
Step-by-step explanation:
there are 1,000 milligrams in one gram. So, 63 x 1,000 = 63,000
Tim is 5 feet tall and casts a shadow that is 2 feet long. He stands next to a tree that is 30 feet tall. How long is the shadow the tree casts?
Answer:
12 ft
Step-by-step explanation:
Tim Height: Tim Shadow
5ft : 2ft
Tree Height: Tree Shadow
30ft : ?ft
Using this knowledge, we can compare Tim's Height to the Tree's Height. The tree's height is 6 times more than Tim (5x6=30). We can find the shadow of the tree if we multiple tim's shadow by 6.
Therefore, 2ft x 6 = 12ft
The Tree's Shadow is 12ft.
A company charges 5% shipping fee. What are the shipping charges for an item that costs $1,200? Need help ASAP please.
Answer:
shippng charge = 60 dollars
Step-by-step explanation:
5% is .05 in decimal form
.05 x 1200 = 60 dollars
Write 149,597,870,700 in scientific notation with 3 significant figures
Answer:
1.50 x 10^11.
Step-by-step explanation:
There 11 digits after the 1 so it is:
1.50 x 10^11.
(1495 to 3 s. f. is 150)
20% of the guest at the party were children. if 15 children attended the party, how many adults attended?
4w<32
Help about to fail my math class lol
y
5
4
32
2
1
-5 -4 -3 -2 -1 0
-1
-2
Type here to search
လ ရာ
-3
1 2 3 4 5
What is the equation of the blue line?
X
hp
14°C
Answer:
y=4x-3
Step-by-step explanation:
Using y - intercept form:
y=mx+b
Slope goes up by 4 squares and to the right by 2 squares. This means the slope is 4. The y intercept is -3, thus b is -3.
I will give 20 points and maybe brainiest, please help me
Answer:
The correct answer is dilate by a scale factor of 2 and reflect over the x-axis.
Step-by-step explanation:
We can clearly see that there was no rotation or translation between the 2 triangles so we can deduct the second and fourth answer. We can also see that the triangle reflects over the x-axis and not the y-axis so the second answer is incorrect. Leaving the first one, which is the correct answer.
Hope this helps:) Goodluck!
Abc is isosceles. ab=3x-4 and bc=5x-10 what is ab
Answer:
AB=5
Step-by-step explanation:
3x-4=5x-10
-4=2x-10
6=2x
3=x
AB= 3(3)-4
9-4
5
Answer:
ab = 5.
Step-by-step explanation:
As the 2 sides are equal in length:
3x - 4 = 5x - 10
3x - 5x = -10 + 4
-2x = -6
x = 3.
So ab = 3x-4 = 3(3)-4
= 5.
I need help with this problem
Answer:
n=-6
Step-by-step explanation:
You would first multiply by 3 because you are trying to get n by itself?
then you will get the equation n-6=-12 then you will add six cause again you want n by itself and you get n=-6 because -12 plus 6 is -6
Isaac started an iphone screen replacement business. he charges $15 for each screen his shop replaces. isaac currently employs 4 workers and the shop replaces 43 screens per day. business is good, so he is considering hiring another worker. if he did, the total number of screens his shop can replace each day would be 49. what is the value of the marginal product of labor for the 5th worker? $ ____
Isaac started an iPhone screen replacement business. he charges $15 for each screen his shop replaces, the value of the marginal product of labor for the 5th worker is mathematically given as
M=$90
What is the value of the marginal product of labor for the 5th worker?Generally, It is the change in value or production that occurs when a new worker is hired.
Therefore, the value of the output from hiring 4 & 5workers
V4= $ 15* 43
V4= $ 645
and V8
V5=$ 15 * 49
V5 = $ 735
In conclusion, the marginal product
M= $ 750 - $ 645
M=$90
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Which of the following inequalities matches the graph?
Answer:
y ≥ 1
Step-by-step explanation:
The graph of an inequality is illustrated, with a solid horizontal line passing through point (0, -1) and shading above the line.
It indicates that the line equation is:
For various x values, y=-1.
Also, because the darkened region is above the line, i.e. towards the origin, it must pass the 0-test.
As a result, the inequality is:
y≥-1
Answer:
[tex]y\geq -1[/tex]
Step-by-step explanation:
Hope this helps
help i dont know the answer like seriously omg omg
The gcf is 6
so: 42+12= 6(7+2)
Answer:
see explanation
Step-by-step explanation:
the factors of 42 are 1, 2, 3, 6, 7, 14 , 21, 42
the factors of 12 are 1, 2, 3, 4, 6, 12
common factors are 1, 2, 3, 6
GCF = 12
then
42 + 12 ← factor out 6 from each term
= 6(7 + 2)
Juan is placing a fence in his yard, he has 15 m of fences and he cuts it
into 4 equal pieces. How long is each piece of fence?
PLEASE HELPPP THANK U SO MUCH
Answer:
396 = 341q-333
Step-by-step explanation:
396 is (396 =)
the quantity q times 341 (341q)
333 subtracted from (-333)
Answer:
341q - 333 = 396
Step-by-step explanation:
multiply q and 341, you get 341q
a number that is subtracted from another number is the same as saying 2 is subtracted from 5 gives you 3, which can be laid out as 5 - 2 = 3
therefore your equation will be 341q - 333 = 396
extra information :
341q = 396 + 333
341q = 729
q = 729/341
q = 2.137829912
14.
If we flip a coin eight times, how many possible sequences of eight coin faces (i.e., heads or tails) can we have?
1,024
512
256
2,048
Using the Fundamental Counting Theorem, the number of possible sequences of eight coin faces is of 256.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem, there are 8 events, each with 2 possible outcomes, hence:
[tex]n_1 = n_2 = \cdots = n_8 = 2[/tex]
Hence, the total number of sequences is given by:
[tex]N = 2^8 = 256[/tex].
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Answer:
C) 256
Step-by-step explanation:
Essentially, each coin flip is a decision, and heads or tails is the choice offered. Therefore, we calculate that there are 28 possible sequences, or 256.
Took the quiz ;)