Answer:
3
Step-by-step explanation:
27300 * (1-6.1%)^n = 22100,
n∈(3,4)
when n = 3,≈22603;
when n = 4,≈21224;
so choose n = 3.
Therefore, it takes car to depreciate to this amount is [tex]3[/tex].
What is the simplification?
Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
Here given that,
A new car sells for $[tex]27,300[/tex]. It exponentially depreciates at a rate of [tex]6.1[/tex]% to $[tex]22,100[/tex].
So, the equation is
[tex]27300(1-6.1)^n=22100\\\\[/tex]
when [tex]n[/tex] belongs to [tex](3,4)[/tex]
when [tex]n=3\\[/tex]
The equation would be
[tex]27300(1-6.1)^3=22100\\\\=22603[/tex]
When
[tex]n=4\\27300(1-6.1)^4=22100\\=21224[/tex]
So, the time it takes to depricate to the given amount is [tex]22603[/tex] when [tex]n=3[/tex].
Hence, it takes car to depreciate to this amount is [tex]3[/tex].
To know more about the simplification
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For what value of a does
( 1/9) ^a+1 •27^2-a ?
O-4
O-2
O 2
O 6
__________
[tex] \: [/tex]
[tex]( \frac{1}{9} ) {}^{a + 1} = {27}^{2 - a} [/tex]
[tex]( {3}^{ - 2} ) {}^{a + 1} = ( {3}^{3} ) {}^{2 - a} [/tex]
[tex] \cancel{ {3}}^{ - 2a - 2} = \cancel{{3}}^{6 - 3a} [/tex]
-2a - 2 = 6 - 3a
-2a + 3a = 6 + 2
a = 8✔
I'm sad
What is 2x9/6+5
Answer:
8
Step-by-step explanation:
PEMDAS, Parentheses, Exponents, Multiply, Divide, Add, Subtract
First, I multiply, not because it comes first in pemdas, but because you go left to right. So 2x9=18 and then you divide, 18/6=3 and then you add, 3+5=8. If you have any question I will be here!
<1 and <2 are complementary. Solve for the measure of <1.
<1 = 12x + 4
<2 = 9x + 2
A. 52
B. 4
C. 38
D. 8.3
Express the following rate as a unit rate: 28 1/3 minutes to run 3 1/3 miles
Answer:
28.20
Step-by-step explanation:
60 seconds in a minute
1/3 of a minute is 20 seconds
GUYS IS THIS CORRECT? CLASS 6 MATHS
Answer:
yes these all are correct
Please help-!! hurry
Answer:
180
Step-by-step explanation:
A maintenance warranty for solar heaters cost $50 a month plus a one time $15 processing fee. Complete the table to determine the total cost for different number of months.
Answer:
50+15=65
Step-by-step explanation:
I know because it says total
Find f(0) and f(6)
f(x)= x^2+10x+72/x^2-12x+36
Answer:
f(0) = 2 f(5) = 147
Step-by-step explanation:
f(0) = (0²+10·0+72)/(0²-12·0 + 36) Substitute 0 for x and solve.
= 72/36
= 2
f(5) = (5²+10·5+72)/(5²-12·5 + 36) Substitute 5 for x and solve.
= (25 + 50 + 72)/(25 - 60 +36)
= 147/1
= 147
Evaluate v(x) = 12 - 2x - 5 when x = -2, 0, and 5
Answer:
65
Step-by-step explanation:
the correct written expression for: (9 x 5) + (24 - 9).
Answer:
Step-by-step explanation:
= 45+ 15
=60
If this is the graph of f(x)= a(x+h) +k, then:
Answer:
The forth one as both are positive the domain = x ascending = + h and the range = y where y = k the vortex and both include infinity
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Apie
what is the x and y intercept of 18x-3y=15
Answer:
18(0) -3y = 15
-3y=15
now divide-3 from both sides
y= 15/-3
reduced is -5
y int = (0,-5)
18x-3(0)=15
18x=15
divide the 18 from both sides
x=15/18
reduced is 5/6
x int = 5/6
I NEED HELP PLEASE!!!
Passing through (7,-2) and perpendicular to the line whose equation is y=1/2x+2
Point slope form=
Slope-intercept form=
Answer:
yyou slope intrecept is already there
Step-by-step explanation:
2+2=4
Answer:
9x+3y=36
Step-by-step explanation:
boom
help please i need help on this
See the photo attached for the solution.
like a good neighbor...........?
Answer:
state farm is there!
Step-by-step explanation:
state farm is there............?
Mrs. Gonzalez bought a puzzle for $10.95, a board game for $15.95, and a table lamp for $17.10. After tax, the total amount due was $46.86. What is the sales tax rate written as a percent? Round to the nearest tenth if necessary.
Answer:
6.5%
Step-by-step explanation:
15.95+10.95+17.10 = 44
46.86-44 = 2.86
2.86/44 = 0.065
0.065 = 6.5%
3
Parallel to y = - -*+2 and goes through the point (5, -7)
S
please help it’s due next period
[tex]\sqrt{108k^{7}q^{8}}[/tex]
Answer:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
6k^3*q^4√3k
Write the answer to 6 2/5 × 4 in improper fraction form AND mixed number form.
Improper fraction:
-------------------------
Mixed number: -------------------------
(whole number + fraction number
Answer:
6 2/5 as an improper fraction is 32/5 and if we turn 4 into a fraction (4/1) we can multiply them.
32/5 * 4/1 = 128/5
128/5 is the improper fraction
and the mixed number is 25 3/5
Step-by-step explanation:
6 2/5 as an improper fraction is 32/5 and if we turn 4 into a fraction (4/1) we can multiply them.
32/5 * 4/1 = 128/5
no links please
Suppose you took out a $120,000 loan to go to med school. Your loan has a 6.9% APR to be paid in 30 years. You make monthly payments of $790.32 – to date, you have made 180 payments. What is the total amount you have left to pay if you simply make payments for the next 180 months?
The total amount left to pay is $ 745,945.74.
Supposing you took out a $ 120,000 loan to go to med school. Your loan has a 6.9% APR to be paid in 30 years, and you make monthly payments of $ 790.32, and to date, you have made 180 payments, to determine what is the total amount you have left to pay if you simply make payments for the next 180 months the following calculation must be performed:
(120,000 x 1,069 ^ 30) - (790.32 x 180) = X (120,000 x 7.40) - 142,257.6 = X 888,203.34 - 142,257.6 = X 745,945.74 = X
Therefore, the total amount left to pay is $ 745,945.74.
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If x=47 , find the measures of angles 1,2 and 3
Angle x and 2 are congruent so angle 2 is also 47 degrees.
Angle x and angle 1 are supplementary so angle x and angle 1 adds up to 180 degrees.
180-47=133. Angle 1 is equal to 133.
Angle 1 and angle 3 are congruent as well so angle 3 is also 133 degrees.
which of the following statements are true for sin (-430°)
i. the basic angle, a lies in the second quadrant
Ii. sin (-430°) = +sin (430°)
III. sin (-430°) = sin (70°)
iv. a = 30°
Answer:
Step-by-step explanation:
sin(-430)=-sin(430)=-sin(360+70)=-sin 70
Pleaw hurry i nedd the answer
Evaluate the solid bounded by 2x + z = 2 and (x − 1)^2 + y^2 = z. Sketch the given solid.
Answer:
resuelve la pregunta*
Step-by-step explanation:
tu mamá es mi mamá1. find the measure of each angle
Answer:
The equation is 3x -5 + 10x -7 = 180°
Step-by-step explanation:
These angle are a linear pair. Linear pair are two angles that are adjacent and their sides are opposite rays, or the two angles form a straight angle = 180°
The equation is 3x -5 + 10x -7 = 180°
Directions: Find the slope of the lines graphed below.
1.
2.
we know,
slope = y_2 - y_1/x_2 - x_1
1.
according to the graph given points are,
(2,1) and (0,3)
now,
→ 3 - 1/0 - 2
→ 2/-2
→ -1
therefore, slope of the given graph is -1.
2.
according to the graph given points are,
(-6,2) and (0,1)
now,
→ 1 - (-6)/0-2
→ 7/-2
→ -3.5
therefore, slope of the given graph is -3.5 OR in fraction form it is 7/-2.
3.
according to the graph given points are,
(2,2) and (0,4)
now,
→ 4 - 2/0-2
→ 2/-2
→ -1
therefore, slope of the given graph is -1.
hope this answer helps you dear...take care and may u have a great day ahead!
Please help and answer both of the questionssss
Answer:
(n + 6) / -4 = 10
n + 6 = 10 × -4
n + 6 = -40
n = -40 - 6
n = -46
(n - 2) / -3 = -6
n - 2 = -6 × -3
n - 2 = 18
n = 18 + 2
n = 20
Step-by-step explanation:
brainliest plz
What is the equation of the following line be sure to scroll down first to see all answer options
Answer:
b
Step-by-step explanation:
mark me as brainliest have a great day
PLEASE HELP WITH THIS ONE QUESTION
Step-by-step explanation:
thanks for the 5 points
......
Find a polynomial f(x) of degree 4 that has the following zeros. 7, −3, 0, −2
Answer:
x^4 - 2x^3 - 29x^2 - 42x
Step-by-step explanation:
Equal all the zeros to x then move them over.
x=7,x=-3,x=0,x=-2
x-7,x+3,x+0,x+2
Then multiply each factor
(x-7)(x+3)(x)(x+2)
x^4 - 2x^3 - 29x^2 - 42x