Answer:
$8640
Step-by-step explanation:
Step 1:
The total amount of the car currently is $45,000. The car depreciates by 10% for the next 3 years. Then multiply 3 to 45,000.
3 × 45,000 = 135,000
The price then decreases by 10%. So, find 10% of 135,000
[tex]10\% = \frac{10}{100}[/tex]
[tex]135000=\frac{135000}{1}[/tex]
[tex]\frac{10}{100}\times \frac{135000}{1}[/tex]
Cross cancel the zeros
[tex]\frac{10}{1}\times \frac{1350}{1}[/tex]
Multiply across
[tex]10\times1350 = 13500[/tex]
Therefore, for the three years, the cars price is now $13,500.
Step 2:
The next step is the same as the first one. But now the car currently is $13,500. And The car depreciates by 8% for the next years. We have to find the value in 8 years. Then multiply 8 to 13,500.
8 × 13,500 = 108,000
Now, find 8% of 108,000
[tex]8\% = \frac{8}{100}[/tex]
[tex]108000=\frac{108000}{1}[/tex]
[tex]\frac{8}{100}\times \frac{108000}{1}[/tex]
Cross cancel the zeros
[tex]\frac{8}{1}\times \frac{1080}{1}[/tex]
Multiply across
[tex]8\times1080 = 8640[/tex]
Therefore, the value of the vehicle in 8 years is $8640.
The area of a triangle is 30 cm and its base
is 10 cm. What is the perpendicular height,
in cm, of the triangle?
Step-by-step explanation:
area of triangle,=1/2*base*height
30=1/2*10/h
h=6cm
Answer: Height=6cm
Step-by-step explanation:
Area of triangle =30cm²
Base=10cm
Height=?
Area=1/2*base*height
30=1/2*10*height
Height=30*2/10
Height=6cm
If a cheetah can travel 120 meters in just 4 seconds, then how many meter can it travel in 25 seconds?
Answer:
750 meters
Step-by-step explanation:
120 meters/4 seconds = 30 meters per second
30 meters per second * 25 seconds = 750 meters
(you could calculate 3 * 25 first to get 75 and then add the zero at the end. It's the faster way.)
Answer:
x = 750 m
Step-by-step explanation:
Write and solve a equation of ratios:
120 m 4 sec
------------- = -------------
x 25 sec
Inverting this equation yields
x 25 sec
-------------- = -------------
120 m 4 sec
Cross-multiplication yields (4 sec)x = (120 m)(25 sec). This yields:
3000 m-sec
x = -------------------- = 750 meters
4 sec
Note that the same result can be obtained by multiplying (120 m) by (25/4).
Solve for X and find M Find m
Step-by-step explanation:
3x-28=2x-9
3x-2x=28-9
x=19°
For angle FGH = 2x-9° = 38°-9° = 29°.
For angle HGI = 3x-28° = 57°-28° = 29°.
For angle FGI = 29°+29° = 58°.
hope this helps you.
1.) A desk at Target sales for $150.00. Sales tax is 8.5%. What is the total cost
the desk including sales tax? (1 pt)
Answer
Answer:
$162.75
Step-by-step explanation:
150 * 1.085 = 162.75
what are the similar triangles theorems
Answer:
AA (Angle Angle), SAS (Side Angle Side), SSS (Side Side Side)
Step-by-step explanation:
PLEASE HELP ME ILL
MARK BRAINLIEST
Answer:
yeah
Step-by-step explanation:
(sinx + cosx)(1 − sinx cosx) ≡ sin3x + cos3x
Step-by-step explanation:
We will use the LHS to find the RHS.
Step 1: Expand the LHS by multiplying through the brackets and simplify
(sinx + cosx)(1 − sinx cosx) ≡ sinx + cosx - (sinx + cosx (sinx cosx))
≡ sinx + cosx - sin²x cosx - sinx cos²x
Step 2: Use the identity sin²x + cos²x = 1, to rewrite the equation
≡ sinx + cosx - cosx (1 - cos²x) - sinx (1 - sin²x)
Step 3: Simplify the equation by adding like terms
≡ sinx + cosx - cosx + cos³x - sinx + sin³x
≡ sin³x + cos³x [QED]
Reminder:
1 - cos²x = sin²x 1 - sin²x = cos²x (cosx)(cosx) = cos²xBecky's medical bill is $1374. She has a $150 deductible, plus 85% medical insurance
How much will Becky pay?
Helpppp
Answer:
$333.60
Let me know if you have any questionssolve 3+x>-9 A) x >3 B) x > -6 C) x>-3 x > D) x> -3
Answer: the answer should be x>-12
Step-by-step explanation:
3+x>-9
x>-9-3
X>-12
In a fruit basket there are 9 bananas, 4 apples, and 3 plums.
The ratio of bananas to apples is
Answer
The ratio of bananas to apples is 3 to 4
Step-by-step explanation:
what is 7a-7b when a-b=5
Answer:
35
Step-by-step explanation:
7a -7b
Let a-b = 5
Factor
7(a-b)
7(5)
35
Answer:
a=5+7b/7
Step-by-step explanation:
7a-7b
a-b=5
7a-7b=5
7a-7b+7b=5+7b
7a-0=5+7b
7a=5+7b
7a=5+7b/7
a=5+7b/7
Jim holds $50.000 in money at the beginning of the year. The annual inflation rate is 2 percent, and the price level rises from 10 to 1.02. What is the "inflation tax" that Jim pays at the end of the year? Jim pays an inflation tax of
Based on the inflation rate and the amount he had at the beginning of the year, Jim will pay an inflation tax of $1,000
Inflation tax refers to the value lost out of the cash holdings that a person has as a result of inflation.
With inflation being 2%, Jim would lose 2% of his cash holdings which translates to:
= Cash holdings x Inflation rate
= 50,000 x 2%
= $1,000
In conclusion, Jim will pay an inflation tax of $1,000.
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During a restaurant promotion, 3 out of every 25 customers receive a $10 coupon to use on their next visit. If there were 150 customers at the restaurant today, what was the total value of the coupons that were given out?
A)$10
B) $18
C) $150
D) $180
Answer:
$180
Step-by-step explanation:
150 ÷ 25 = 6
6×3 = 18
18×10 = 180
The total value of the coupons that were given out is $180.
Correct option is (D).
What is Arithmetic?The study and use of numbers, their relationships, and mathematical observations are topics covered by the area of mathematics known as arithmetic. The fundamental ideas in number theory, measurement, and computation are sometimes included under the umbrella word "arithmetic" (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).
As per the given data:
3 out of every 25 customers receive a $10 coupon to use on their next visit.
Customers at the restaurant today = 150
For 25 customers = 3 coupons
For (25 × 6 = 150) customers = (3 × 6 = 18) coupons
Total value of the coupons = 18 × 10 = $180
Hence, the total value of the coupons that were given out is $180.
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What is the square root of r^64
Answer:
the answer is 8
Step-by-step explanation:
because the (8)²is 8×8is 64
Feliciano is using a pretest/posttest design to conduct an experiment on improving children’s handwriting, employing two different techniques of improving handwriting and a control condition. In the results, the two groups who receive the treatment don’t show any difference from each other. Feliciano believes that there is a difference but that his 3-point assessment scale of handwriting cannot detect it. Identify the true and false statements about Feliciano’s study. True Statement(s) Drag appropriate answer(s) here Feliciano is most concerned about using an insensitive measure. Press Space to open To address his concern, Feliciano should use a scale with more levels for his dependent variable. Press Space to open To address his concern, Feliciano should use a manipulation check for his independent variable. Press Space to open To address his concern, Feliciano should increase his sample size. Press Space to open Feliciano is most concerned about measurement error.
The test result can be made more responsive by adjusting the parameters
of the test.
Feliciano should use a scale with more levels for his dependent variableFeliciano should use a manipulation check for his independent variable Feliciano should increase the sample size.Reasons:
The type of experiment being performed by Feliciano is children
handwriting improvement based on two techniques and a control condition.
The number of groups that receive the treatment = Two
The assessment method used = 3-point assessment scale
The true statements are;
Feliciano should use a scale with more levels for his dependent variableIncreasing the number of levels on the scale, increases the variability of the response such that more responses can be obtained from the participants than when using a 3-point scale, based on the closeness between the the variables being assed.
Feliciano should use a manipulation check for his independent variableA manipulation check can be used to determine the effectiveness of the treatment applied , such as the inclusion of question that finds out about the participants association to the treatment.
Feliciano should increase the sample sizeIncreasing the sample size increases the z-value, and makes it more likely to reject the null hypothesis, that there is no difference between the two groups.
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Noah receives a $5 discount each month on his cell phone bill because he signed up for
auto-pay from his bank account. Over the last 8 months, Noah has paid a total of
$280 for his cell phone bill. What would Noah be charged for his cell phone bill each
month if he stopped using auto-pay?
$34
$30
$35
$40
Answer:
Noah would pay $40 each month
The discount Noah received decreased the amount he pays by $5 every month.
Total discount in 8 months = 8 x $5 = $40
If Noah stopped using autopay, he would have to pay the full amount
Without the discount, the total amount Noah would pay in 8 months = amount paid without discount + total discount amount
$280 + $40 = $320
Amount Noah would pay per month = Total amount he pays in 8 months without discount / 8
$320 / 8 = $40
If the simple interest on $1000 for 2 years is $100, then what is the interest rate?
Answer:
R = 450%/year
Equation:
r = (1/t)(A/P - 1)
Converting r decimal to R a percentage
R = 4.5 * 100 = 450%/year
I need help on Tales mathemathics below on image
Answer:
x=5
Step-by-step explanation:
i'm assuming the upper left expression is x-1 and that the 3 horizontal lines are parallel
the three horizontal lines seem to be parallel, so we have (x-1)/6 = 6/(x+4). cross multiply to get (x-1)(x+4) = 36, or x^2 +3x - 4 = 36. subtract 36 from both sides to get x^2 + 3x -40 = 0, factor or use the quadratic formula to get (x+8)(x-5)=0, so x=-8 or x=5, since we are looking for a length x can't equal -8, so x=5,
4/5% of 15 - show work.
I got 12 but my teacher said it was wrong? what's the right answer then?
Answer:
it is 12 but you probably didnt show our work
Step-by-step explanation:
Here is an example you can use:I multiplied 15 by .80 because I know that 4/5 is 80 of 100.
Answer:
0.12
Step-by-step explanation:
This is probably where you got confused
4/5% = 0.8%
-------------------------
15 / 10 = 1.5
1.5 / 10 = 0.15
0.15 / 10 = 0.015
or
15 / 1000 = 0.015
-------------------------
0.015 x 5 = 0.075
0.015 x 3 = 0.045
0.075 + 0.045 = 0.12
More Detailed Version
4/5 of 1% = 0.8%
0.8% is in the thousandths digit
15 / 1000 = 0.015
0.015 x 5 = 0.075
0.015 x 3 = 0.045
0.075 + 0.045 = 0.12
Brainly?
I WILL GIVE BRAINLIEST
Answer:
= -3x +3
Step-by-step explanation:
like terms (7x) -(4x)
or 7x + -4x = -3x
no like terms to condense 3
Explain how you will find the area of a rectangle with dimensions of 2x + 6 and 2x 6
here is your perfect answer
gamsahamnida
The diagram shows a trapezium.
B
D
Diagram NOT accurately drawn
AD = x cm.
BC is the same length as AD.
AB is twice the length of AD.
DC is 4 cm longer than AB.
The perimeter of the trapezium is 38 cm.
Work out the length of AD.
Perimeter implies the total length of sides of a given figure. Thus the length AD = 4.75 cm.
A plane figure is any type of figure bounded by four straight sides. Examples are square, rectangle, trapezium, rhombus, etc. A trapezium is a type of plane figure which belongs to a family referred to as quadrilaterals.
The perimeter of a given shape is the sum of the length of its boundaries or sides.
Thus the length AD required in the question can be determined by:
AD = x cm
BC = x cm
AB = 2x cm
DC = 4x cm
Perimeter = AD + BC + AB + DC
= x + x + 2x + 4x
Perimeter = 8x
But the perimeter of the trapezium has been given as 38 cm.
Thus,
38 = 8x
x = [tex]\frac{38}{8}[/tex]
= 4.75
Therefore, the length of AD is 4.75 cm.
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solve 6(8y-8)×(8³+8)
with solution
Answer:
24960(y-1)
I'm so glad to help you with this question hope you get it
Explain how 20% can be different amount,
Answer:
As finding 10% of a number means to divide by 10, it is common to think that to find 20% of a number you should divide by 20 etc. Remember, to find 10% of a number means dividing by 10 because 10 goes into 100 ten times. Therefore, to find 20% of a number, divide by 5 because 20 goes into 100 five times.
Step-by-step explanation:
E = (-52) + 13 + 49 + (-15) + (-36) + 82
Answer:
E = 41
Step-by-step explanation:
E = (-52) + 13 + 49 + (-15) + (-36) + 82
Take the -ve terms to one side and +ve terms to the other.
E = (13 + 49 + 82) - 15 - 36 - 52
E = 144 - 103
E = 41
how do i
factor 7x^2+3x-4
Answer:
(x+1) (7x - 4)
Step-by-step explanation:
7x² + 3x - 4
Use the diamond...
7 times -4 equals -28 and 7 plus -4 = 3
Use factor by grouping b/c a does not equal 1
7x² + 7x - 4x - 4
7x(x + 1) -4(x + 1)
(x+1) (7x - 4)
4. What are the last TWO DIGITS of 2^2017
a Explain how you found the last 2 digits of 2^2017
b. Show how you found the last 2 digits of 2^2017
Compute 2²⁰¹⁷ modulo 100.
From the given table,
2²² ≡ 2⁴² ≡ 2⁶² ≡ 4 (mod 100)
and we have
2017 = 32 • 62 + 33
62 = 1 • 42 + 20
Then
2²⁰¹⁷ ≡ (2⁶²)³² • 2³³ (mod 100)
2²⁰¹⁷ ≡ 4³² • 2³³ (mod 100)
2²⁰¹⁷ ≡ (2²)³² • 2³³ (mod 100)
2²⁰¹⁷ ≡ 2⁶⁴ • 2³³ (mod 100)
2²⁰¹⁷ ≡ 2⁶² • 2²² • 2¹³ (mod 100)
2²⁰¹⁷ ≡ 4² • 2¹³ (mod 100)
2²⁰¹⁷ ≡ (2²)² • 2¹³ (mod 100)
2²⁰¹⁷ ≡ 2⁴ • 2¹³ (mod 100)
2²⁰¹⁷ ≡ 2¹⁷ (mod 100)
and from the table, we get
2²⁰¹⁷ ≡ 2¹⁷ ≡ 72 (mod 100)
HI!!! IKL GIVE U BRAINLIEST IF U CAN HELP ME!
what is the slope of y=-4?
Hello there!
The slope of this line is 0.
y=-4 is a horizontal line.
We find the slope using the formula Rise/Run.
The rise is 0, and no matter what the run is, the slope is 0 anyway.
Hope this helps!
~Just a cheerful teen
#CarryOnLearning
[tex]SilentNature[/tex]
What is the distance between the points (-3, 5) and (-3, -6) on the coordinate plane?