A smartphone originally worth $790 loses value at a rate of $175 each year.Write an equation to represent the value of the phone, then find value of the phone after 4years.Identify your variables
Final answer:
The value of the smartphone after 4 years is calculated using the linear equation V = 790 - 175t, resulting in a value of $90.
Explanation:
The smartphone's value decreases by $175 each year. To represent the value of the phone after a certain number of years, we can use a linear equation. Let V be the value of the smartphone after t years, where V is in dollars and t is the number of years.
The original value of the smartphone is $790, so the equation to represent the value over time is:
V = 790 - 175t
After 4 years, the value of the smartphone would be:
V = 790 - 175(4)
V = 790 - 700
V = $90
Therefore, the value of the smartphone after 4 years is $90.
a blank is a number that uses place value and a decimal point to show a value less than 1 search as tenths and hundredths
PLEASE HELP 30 POINTS!!!!!!!!
Without graphing the lines to the equations, given any two linear equations explain how you can tell if the lines of the two equations are parallel.
Create a system of linear equations that has the solution (3,5)?
Answer:
x + 2y = 133x - y = 4Step-by-step explanation:
I find it easiest to write the equations in standard form, as above. You just need to pick numbers for the x- and y-coefficients, then see what the left-side evaluates to. I wanted the x-coefficients to be different, and one of the y-coefficients to be negative. (The x-coefficients need to be positive when the equation is written in standard form.)
_____
Check
3 +2·5 = 3 +10 = 13 . . . first equation works
3·3 -5 = 9 -5 = 4 . . . . . second equation works
The percentage of high school students who drink and drive stood at 17.5% at the beginning of 2001 and declined linearly to 10.3% at the beginning of 2011.† (a) find a linear function f(t) giving the percentage of high school students who drink and drive in year t, where t = 0 corresponds to the beginning of 20
1) The linear function : f(t) = -0.72t + 17.5
2) When t = 14 the value is 7.42
Part A
For this case we have the following information given:
t= 2001 (0) f(0)= 17.5%
t= 2011 (10) f(10)= 10.3
Slope= [tex]\frac{10.3-17.5}{10-0}[/tex]
10.3 = -0.72*10 +b
b= 10.3 +10*0.72
= 17.5
Then the equation is:
f(t) = -0.72t + 17.5
Part B
For 2015 the value of t = 2015-2001
= 14
Substitute in function,
f(14)= -0.72×14 + 17.5
= 7.42
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Complete question:
The percentage of high school students who drink and drive was 17.5% at the beginning of 2001 and declined linearly to 10.3% at the beginning of 2011.†(a) Find a linear function f(t) giving the percentage of high school students who drink and drive in year t, where t = 0 corresponds to the beginning of 2001.f(t) = (b) If the trend continued, what was the percentage of high school students who drank and drove at the beginning of 2015? %
To find the linear function that represents the percentage of high school students who drink and drive in a given year, we can use the slope-intercept form of a linear equation. We can determine the slope and y-intercept by using the given data points. The linear function is f(t) = -0.82%t + 17.5%.
Explanation:To find a linear function f(t) giving the percentage of high school students who drink and drive in year t, we can use the slope-intercept form of a linear equation, which is y = mx + b. In this case, y represents the percentage of students who drink and drive, and t represents the year. We know that at the beginning of 2001 (t=0), the percentage was 17.5%, and at the beginning of 2011 (t=10), the percentage was 10.3%. Using this information, we can find the slope (m) and the y-intercept (b) of the linear function.
Step 1: Calculate the slope (m):
m = (y2 - y1) / (t2 - t1) = (10.3% - 17.5%) / (10 - 0) = -0.82% per year.
Step 2: Substitute one of the points and the slope into the slope-intercept form to find the y-intercept (b). Using the point (0, 17.5%):
17.5% = -0.82%(0) + b
b = 17.5%.
Therefore, the linear function f(t) is: f(t) = -0.82%t + 17.5%.
a triangle has two sides of lengths 4 and 15. what value could the length of the third side be?
Answer: The answers are 12, 15, 13
Step-by-step explanation:
What is the slope of a line that is parallel to the line represented by the equation?
y= -2/5x + 4/5
Answer:
y= -2/5x + 4/5
The slope is -2/5
the average airspeed velocity of an unladen European swallow is approximately 24 miles per hour at this rate how many hours will it take to swallow to fly from Appin to Glen Coe about 18 Miles??
Name the digits of pi. At least 50
The first 50 digits of pi are 3.14159265358979323846264338327950288419716939937510.
The digits of pi (π) extend infinitely and do not repeat in any known pattern, which makes this number a mathematical constant and an irrational number. Pi is crucial in various mathematical formulas, including those used to calculate the area and circumference of a circle.
Here are the digits of pi to 50 decimal places: 3.14159265358979323846264338327950288419716939937510.
The line plots show the number of hours two different age groups of teenagers spent online the previous week.
Two line plots, both are labeled from twelve to thirty six going by ones underneath the line plot. The top line represents Hours spent online parenthesis ages thirteen to fifteen parenthesis. There are three Xs over twenty eight, two Xs over twenty seven and one X over twenty one, twenty four, twenty six, thirty one and thirty four. The bottom line represents Minutes spent online parenthesis ages sixteen to eighteen years old parenthesis. There are four Xs over twenty eight and one X over twelve, twenty one, twenty seven, thirty point five, thirty four, thirty five and thirty six.
Select from the drop-down menus to complete each statement.
The range is . The mean
Answer:
Step-by-step explanation:
The range is greater for data set 1 ( 13- to 15-year old ).
The mean is the same for both data sets.
In which situation is the original price bigger? (A) after a 5% discount the price was $190; (B) after a 10% discount the price was $180; (C) after a 20% discount the price was $170; (D) after a 30% discount the price was $140.
Answer:
C
Step-by-step explanation:
Calculate each one of them to see which one is highest:
a)190/.95 = 200
b) 180/.9 = 200
c)170/.8 = 212.5
d)140/.7 = 200
which word phrase represents the following expression r ÷ 6 ?
Answer : The correct phrase used is, r is divided by 6.
Step-by-step explanation :
We are given an expression :
r ÷ 6
The word used for subtraction operation is 'less'.
The word used for multiplication operation is 'times'.
The word used for division operation is 'divided by'.
Thus, the verbal sentence for given equation is, r is divided by 6.
What is the value of x?
Enter your answer in the box.
x=
The answer should be a fraction
last year, marys vegetable garden was a rectangle that measured 6 ft by 8 ft. If she wants to increase the size this year by a scale factor of 2. the measurements should be ____ ft by 16 ft
Phillip flips a coin, rolls a standard number cube, and randomly chooses a shape from the list below. Find the probability that the coin will show tails, the cube will show an odd number, and a red shape will be chosen. 1/6 1/2 None of these 1/12 1/8 HELPPP PLZ TODAY!!!!
Answer:
thx for pts
Step-by-step explanation:
Suppose given an isosceles triangle with a leg measuring 5 in. Two lines are drawn through some point on the base, each parallel to one of the legs. Find the perimeter of the constructed parallelogram.
Let ΔABC be isosceles triangle with legs AB=BC=5 in. Draw an arbitrary point D on the base AC and spend two lines DE and DF such that DE || BC and DF || AB.
You get the parallelogram BFDE.
1. Consider ΔAED. This triangle is isosceles, because ∠ADE≅∠ACB as corresponding angles at parallel lines. The legs of this triangle are AE=ED.
2. Consider ΔDFC. This triangle is isosceles, because ∠FDC≅∠BAC as corresponding angles at parallel lines. The legs of this triangle are DF=FC.
3. Find the perimeter of parallelogram BFDE.
[tex]P_{BFDE}=BF+FD+ED+BE.[/tex]
Since AE=ED and DF=FC, you have that
[tex]P_{BFDE}=BF+FC+AE+BE=AB+BC=5+5=10\ in.[/tex]
Answer: 10 in.
Which simplified equation is equivalent to the equation shown below?
4x+x-3-9+4x=6
a.5x-8=6
b.-3x=6
c. 9x-12=6
d. 8x-12=6
We need to group the like terms and combine like terms to get the simplified equation.
[tex] 4x+x-3-9+4x=6\\ \\ Step \; 1: \; Group \; like\; terms\\ \\ 4x+x+4x-3-9=6\\ \\ Step \; 2: \; Combine \; like\; terms\\ \\ 9x-12=6 [/tex]
Conclusion:
Option C is the right answer !!
Select the statements that are true for the graph of y = −(x−0.5)^2+9
1. The graph has a minimum.
2. The graph has a maximum.
3. The vertex is (0.5, 9) .
4. The vertex is (−0.5, 9)
I NEED THIS DONE BY 1:30 2/22/2018 THANK YOU! (:
The true statements are
2. The graph has a maximum.3. The vertex is (0.5, 9) How to determine the true statement?The equation of the function is given as:
[tex]y = -(x - 0.5)^2 + 9[/tex]
Because the leading term is negative, then the equation has a maximum
This is represented by the first minus sign in [tex]y = -(x - 0.5)^2 + 9[/tex]
The function can also be represented as:
[tex]y = a(x - h)^2 + k[/tex]
Where:
Vertex = (h,k)
So, we have:
Vertex = (0.5,9)
Hence, the true statements are (2) and (3)
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Kellie called six friends with each call lasting 8 1/2 minutes. how long was Kellie on the phone
The scale on a map is 1 cm:35 mi. The distance on the map between Los Angeles, CA, and San Francisco, CA, is 10.8 cm. What is the actual distance between Los Angeles and San Francisco?
Step 1: Let us assign variable for the unknown that we need to find.
' x ' be the actual distance between Los Angeles and San Francisco
Step 2: Set up an equation based on the given statement "The scale on a map is 1 cm:35 mi. The distance on the map between Los Angeles, CA, and San Francisco, CA, is 10.8 cm."
[tex] \frac{distance \; in \; cm}{distance\; in\; miles}=\frac{1}{35}=\frac{10.8}{x} \\ \\ Cross \; Multiply\\ \\ 1 \cdot x = 35 \cdot 10.8\\ \\ x = 378 [/tex]
Conclusion:
The actual distance between Los Angeles and San Francisco is 378 miles.
what is the word form and the expanded form of 427.968?
The word form is four hundred twenty-seven and nine hundred sixty-eight thousandths, and the expanded form is 400 + 20 + 7 + 0.900 + 0.060 + 0.008
The number is given as: 427.968
To expand, we make use of the addition arithmetic operator.
So, we have:
[tex]\mathbf{427.968 = 400 + 20 + 7 + 0.900 + 0.060 + 0.008}[/tex]
Hence, the expanded form of 427.968 is 400 + 20 + 7 + 0.900 + 0.060 + 0.008
In the expanded form above, we have the following numbers:
400 - Four hundreds.20 - Twenty.7 - Seven.0.900 - Nine tenths.0.0600 - Six hundredths.0.008 - Eight thousandths.Combine the above words to give four hundred twenty-seven and nine hundred sixty-eight thousandths.
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The length of a rectangle if the length is twice the size of the width increased by one
3/4,19/20,1/6,3/5,8/15 what is lcd
1.The sales tax rate in a certain state is 8%. How much would you pay in total for a taxable item that costs $25.25?
2.Alicia answered 20 out of 25 problems correctly on a test. What percent did she get correct?
3.Jim bought a fishing rod for $42. This price was 70% of the original price. What was the original price?
4.An auctioneer sold items totaling $42,000. If her rate of commission was 7%, what was her income from commissions?
5.At a local hardware store, Ms. Jones learned that 1 would cost her $.50, 12 would cost $1.00, and the price of 144 would be $1.50. What was Ms. Jones buying?
6.People sometimes use credit cards to purchase items they can’t afford to pay for at the moment of purchase. If you’re one of these people, you should know that the monthly finance charge on credit purchases is based on percent. Let’s say you have an outstanding balance of $800 on your credit card. The credit card company charges 1.6% per month. What finance charge will you have to pay for one month?
A circular city park has a sidewolk directly through the rmiddle that is 111- feet long. I each bag of fertilizer covers 50 square feet, then determine how many bags of tertilizer the Parks and Recreation department needs to use to cover the circular park. Ignore oll the sidewalks around and through the park.
If the APY of a savings account is 3.2%, and if the principal in the savings account was $2400 for an entire year, what will the balance of the savings account be after all the interest is paid for the year?A. $2400
B. $2406.24
C. $2600
D. $2476.80
Answer:
The answer is $2476.80 Apex
Step-by-step explanation:
1. A rectangular prism is defined as the drawing shows. Note B at (0, 5, 0) and F (0, 0, 4). The prism is reflected over the xz-plane. The reflected image is then translated 2 units back, 3 units left, and 1 unit up.
a.) Show the results of your calculations for points A, B, C and D from the reflection.
b.) Show the results of your calculations for points A, B, C and D from the translation.
which expressions are polynomials
A) 20x^2
B)20x^2/y
C)20x^2+y^1/2
The answers are : 20x^2 and 20x^2 + y^1/2
I just took the test I promise those are the correct answers.
A cone shaped vase has a radius of 12 cm and a height of 45 cm. What is the exact value of the volume of the vase?
Answer:
6782.4 π cm³
Step-by-step explanation:
I took the test and got it right!