Part B (Taxi):
12 miles = 0.5 miles + (115×0.1) miles
Rate: $2.40 + (115×0.20)
= $25.40
Total cost (with tip): $25.40 + $2
= $27.40
20 miles = 0.5 miles + (195×0.1) miles
Rate: $2.40 + (195×0.20)
= $41.40
Total cost (with tip): $41.40 + $2
= $43.40
50 miles = 0.5 miles + (495×0.1) miles
Rate: $2.40 + (495×0.20)
= $101.40
Total cost (with tip): $101.40 + $2
= $103.40
Part B (Uber):
12 miles (rate) = $1 + ($1.05×12)
= $13.60
Total cost (with tip): $13.60 + $2
= $15.60
20 miles (rate) = $1 + ($1.05×20)
= $22
Total cost (with tip): $22 + $2
= $24
50 miles (rate) = $1 + ($1.05×50)
= $53.50
Total cost (with tip): $53.50 + $2
= $55.50
Part C
Uber is a better mode of transportation. This is because given the same distance travelled for both the taxi and the Uber, Uber has a lower cost compared to the taxi.
Alexandra wants to invest in an option that would help to increase her investment value by the greatest amount in 20 years. How much will Option 2 be worth after 20 years?
A.
$6727.50
B.
$3000.00
C.
$7400.25
D.
$5604.41
d
$5604.41 will be worth after 20 years I think
Compound interest is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
Option 2 will be worth $7400.25 after 20 years.
Option C is the correct answer.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = number of times compounded in a year.
We have,
Option 2.
1st year.
Principal = 1100
2nd year.
Principal = 1210
3rd year.
Principal = 1331
(1210 - 1100) / 1100 x 100
= 110/1100 x 100
= 10%
This means,
It is increasing at a rate of 10% annually.
Now,
P = $1100
r = 10%
n = 1
t = 20
A = P [tex](1 + r/n)^{nt}[/tex]
A = 1,100 [tex](1 + 0.1)^{20}[/tex]
A = $7400.25
Thus,
Option 2 will be worth $7400.25 after 20 years.
Option C is the correct answer.
Learn more about compound interest here:
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4/7 + 21/30 x ((21 x 4) + (23 x 8)) = n
need in simplest form
Select the correct answer. Simon used these steps to solve an equation: Step 1: -6(x + 7) = 2(x − 11) Step 2: -6x − 42 = 2x − 22 Step 3: -8x − 42 = -22 Step 4: -8x = 20 Which property did he use to get from step 3 to step 4? A. addition property of equality B. distributive property C. subtraction property of equality D. transitive property
From the steps Simon used in solving the equation, the property he applied to get to step 4 from step 3 is: A. addition property of equality.
What is the Addition Property of Equality?The addition property of equality states that to balance an equation, whatever value we add to one side of an equation must be added also from the other side of the equation.
In step 3, we have the following equation:
-8x - 42 = -22
Simon applied the addition property of equality by adding 42 to both sides of the equation to get -8x = 20 in step 4.
Thus:-8x - 42 + 42 = -22 + 42
-8x = 20
Therefore, from the steps Simon used in solving the equation, the property he applied to get to step 4 from step 3 is: A. addition property of equality.
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can anyone help me pls ??
Answer:
A
Step-by-step explanation:
Volume of a cylinder= πr² *height.height=volume÷πr²height=250÷π(which in this case we are using 3.14)3²height=8.85=Aa store is having clearance sale where merchandise on the sales racks is reduced by 80% from the original price. if a jacket was originally priced at $76, what is the sale price?
Answer:
Sale price is [tex]15.2\$[/tex]
Step-by-step explanation:
Price is reduced by 80% from the original price.
Here original price is $76
Sale price is
[tex]=76-76\times\frac{80}{100}\\\\=0.2\times76\\\\=15.2\$[/tex]
A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of $24. Option B is a commission rate of 10% on weekly sales. How much does she need to sell this week to earn the same amount with the two options?
Answer: the answer is $9,600
Step-by-step explanation:
option A = 40(24) = option B = x (.1) where x is her gross sales
40(24) = x(.1)
40(24)/.1 = x = sales = $9600
Which operation should you perform first when you simplify 63 − (2 + 54 × 6) ÷ 5? A division B multiplication C subtraction D addition
Answer:
start with what's inside the parenthesis so in this case do 54x6 first then solve (2+ whatever the answer was by multiplying 54 times 6
Step-by-step explanation:
Answer A division
if x+y=10 and x-y =6 what is the answer of x cube - y cube fast
Answer:
x+y=10 which means that x=10-y
Replace 10-y in the other equation which gives you:
10-y-y=6
10-2y=6
-2y=-4
y=2
Replace 2 in any of the 2 equations same answer for both:
x+y=10
x+2=10
x=8
So,
[tex] {x}^{3} - y^{3} [/tex]
[tex] = {8}^{3} - {2}^{3} [/tex]
=512-8
=504
Hope this helps!
if we changed the –0.14 to a 2 in the equation, what would happen to the graph?
If -0.14 is changed to 2, the graph would become a positive graph, or it would be steeper, because it has a positive slope
The equation of the graph is given as:
[tex]y = -0.14x + 3[/tex]
The above equation is a linear equation, which is represented as:
[tex]y =mx + c[/tex]
Where m represents the slope of the linear equation.
By comparison, we have:
[tex]m = -0.14[/tex]
i.e. the slope of the equation [tex]y = -0.14x + 3[/tex] is -0.14
When -0.14 is replaced with 2, the equation becomes
[tex]y = 2x + 3[/tex]
And the slope of the new equation [tex]y = 2x + 3[/tex] is
[tex]m =2[/tex]
2 is greater than -0.14, and 2 is positive.
This means that the graph would become a positive graph, or it would be steeper, because it has a positive slope
Read more linear equations at:
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WILL GIVE BRAINLIEST HELP ASAP
Step-by-step explanation:
I cannot draw here, but I can show and tell you how to find 2 points of the individual lines that you can then mark on the chart and draw the line through them.
1)
y = 7/2 x - 2
so, the first and easiest point is the y-intercept (where x = 0).
x = 0, therefore, y = -2
so, the first point is (0, -2)
for the second point : what value of x would eliminate the fraction and make this whole integer number calculations ?
well, x = 2 !
so,
y = 7/2 × 2 - 2 = 7 - 2 = 5
and our second point is (2, 5)
2)
y = -6x + 3
the same principles. first x = 0, therefore y = 3
the first point is (0, 3)
for the second point we can choose any integer x, as all the other terms are integer too.
let's pick x = 1
y = -6×1 + 3 = -6 + 3 = -3
so, the second point is (1, -3)
3)
y = -5
this just means that for every possible value of x the resulting y value is -5.
that means it is a horizontal line through y = -5 or (0, -5)
4)
y = 6/5 x + 1
the same principles. x = 0, therefore y = 1
the first point is (0, 1)
for the second point, again, what x eliminates the fraction and makes all an integer operation ?
well, x = 5.
y = 6/5 × 5 + 1 = 6 + 1 = 7
ok, 7 is off the chart, so let's use x = -5 instead.
y = 6/5 × -5 + 1 = -6 + 1 = -5
so, the second point on the chart is (-5, -5)
Raisins and nuts were mixed in a bowl. If nuts made up five eighths of the mixture, what was the ratio of raisins to nuts
Answer:
3/8
Step-by-step explanation:
hope this helped
Write as a single fraction in its simplest form.
[tex]\dfrac{4}{3x-5} + \dfrac{x+2}{x-1}\\\\\\=\dfrac{4(x-1) + (x+2)(3x-5)}{(3x-5)(x-1)}\\\\\\=\dfrac{4x-4 + 3x^2 -5x +6x -10}{(3x-5)(x-1)}\\\\\\=\dfrac{3x^2 +5x-14}{(3x-5)(x-1)}[/tex]
A ratio of a TV's width to its height is 16:9. If its width is 32 inches, what is the length of its diagonal? Give your answer to the nearest tenth of an inch.
Answer:
36.7
Step-by-step explanation:
Describe the transformation
Answer:
6 to the right
Step-by-step explanation:
Yes, it might be scary at first sight bexause of the square mark. But it is no more special than any other graph transformation. The sqare mark here nly indicates that this graph is a parabola, and the 6 inside shifts the graph (be careful, it is negative so it moves the graph to the RIGHT, by 6 -- the square mark doesnt apply to that).
HELP ME PLEASE I NEED HELP WITH THIS
Answer:
V = 82,406.16 cm³
Step-by-step explanation:
Volume of a sphere
V = 4πr³/3
V = 4•3.14•27³/3
V = 247,218.48/3
V = 82,406.16 cm³
Find the equation of the line.
the line go through 2 points ( -4 ; -5 ) and ( 6 ; 4 )
ANSWER: [tex]y=\frac{9}{10}x -\frac{7}{5}[/tex]
ok done. Thank to me :>
Please help me 87x89 PLEASE
Answer:
7743 :)
Step-by-step explanation:
Pls help ion know how to this jaunt
Answer: a very straight forward b 2 4 and 6 c 9
Step-by-step explanation:
9. Find the slope of the line
that passes through the
following pairs of points.
a. (5, 4) and (-4,3)
B. (10, 8) and (9, 13)
Answer:
a]y= 0.11x + 3.44
b]y= 0.11x + 3.44
explanation:
y=mx+b form
Question 1
Without solving, what can you tell about the solution to
this equation?
b + 14
(b + 14)
2
1 / 116
There is no solution.
There are infinitely
many solutions.
b is equal to 1 only.
b is equal to 0 only.
Answer:
there are infinitely many solutions
Step-by-step explanation:
1/2(b+14) is the same as (b+14)/2, so no matter what number you plug in for b, both sides will always be equal. thus, there is infinitely many solutions.
hope this helps <3
Answer: there is no solution.
Step-by-step explanation:
We can see mentally that when we multiply both sides by 2, we will be left with b+14 on both sides which will cancel out ( “b” will cancel out) so there is no solution.
A map is drawn to a scale of 28 miles per inch. Fill in the table.
need some help
Answer:
inches: 0.5 miles: 14
inches: 1 miles 28
inches: 1.5 miles 42
Hope This Helps!!!
HURRYYYY MATH PEOPLE!!! I ONLY HAVE 3 MINUTES!!!
Answer:
x > -4
Step-by-step explanation:
- 16x < 64
Divide by -16 on both sides. (Remember you always do the opposite on these type of questions!)
x > -4
(When dividing or multiplying by a negative the inequality sign flips!)
Hope this helps and have a good day!
enter an algebraic expression for the word expression.
2 decreased by n
Answer:
2 - n
Step-by-step explanation:
2 decreased by n means n less than 2.
Answer:
Write each phrase as an algebraic expression. Phrase, Expression. nine increased by a number x, 9 + x. fourteen decreased by a number p, 14
Step-by-step explanation:
2-n Plz mark brainliest if correct
Help asap pls!!! Put steps if possible 3
Answer:
i. 15.4
ii.45.2
Step-by-step explanation:
correct me if im wrong
tnx
View the lane below and calculate the slope
by using the slope formula
Answer:
slope = 4
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (3, 12) ← 2 points on the line
m = [tex]\frac{12-0}{3-0}[/tex] = [tex]\frac{12}{3}[/tex] = 4
Answer:
The slope of this line is 4.
Step-by-step explanation:
Pick any 2 points on the graph you want, just make sure they land perfectly on where the line meets the grid. I'll pick (1, 4) and (2, 8) here.
The slope formula is:
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
where (x1, y1) and (x2, y2) are the first and second points you picked above. Now, all you need to do is plug those 2 points into the formula and solve.
[tex]m=\frac{8-4}{2-1}\\\\m=\frac{4}{1}\\\\m=4[/tex]
The slope of this line is 4.
Andrew washed 32 car windows in 4 hours. At this rate, how many windows did he wash in 8 hours?
8 hours is twice as many as 4:
Multiply the number of windows in 4 hours by 2:
32 x 2 = 64 windows in 8 hours
Answer:
64
Step-by-step explanation:
32÷4=8 8 car windows per hour. 8×8=64
Need help on HS geometry
Answer:
RS = 46 , RT = 38
Step-by-step explanation:
A segment joining the midpoints of 2 sides of a triangle (mid segment) is half the length of the third side, then
RS = 2 × UW = 2 × 23 = 46
RT = 2 × VW = 2 × 19 = 38
Which of the following values could represent the probabilities of complementary events? StartFraction 1 over 7 EndFraction and StartFraction 2 over 7 EndFraction 28% and 82% Two-fifths and Three-fifths 10% and 80%
Answer:
a
Step-by-step explanation:
Answer:
2/5 and 3/5
Step-by-step explanation:
_ ➗ 9 = 7
Find the missing number
Answer:
Hi the answer is x=63
x/9=7
multiply both sides by 9
(x/9)*(9)=(7)*(9)
therefore 63 is the missing number
Which of the following groups cannot represent the side lengths of a triangle.
A.49,20,17
B.7,11,16
C.9,13,21
D.30,9,27
Answer:
try B for an answer, hope it helps