Answer:
-4/5 = x
Step-by-step explanation:
Answer:
3/2
Step-by-step explanation:
x = 3x + 4 - 1
we can subtract 1 from 4
x = 3x + 3
subtract 3x from both sides
-2x = 3
divide both sides by -2
x = -3/2
so -x would equal -(-3/2) = 3/2
Question 1 of 10
Which of the following is most likely the next step in the series?
Answer:
The second one.
Step-by-step explanation:
The pattern is red with 0 arrows, blue with 1 arrow, red with 2 arrows, so it would be blue with 3 arrows.
A car depreciates at a rate of 15% of its value annually. Carl purchased a new car for $25,000 and wants to know how many years it
will take until the car is worth a specific amount.
a) Formulate a logarithmic function that would find the number of years t it will take for the car to be worth x dollars.
Then
b) How many years will Carl have until he new car is worth about $5000?
Answer:
(a) (log X - log 25000)/log 0.85 = t
(b) about 9.9 years
Step-by-step explanation:
(a) Let X = value and t = elapsed years since purchase; X in dollars
X = 25000 x 0.85 x 0.85 x 0.85 ... with a factor of 0.85 for every year
(If you lose 15% of value, you have 85% left, right?)
So if you do it for t years, you have t as the exponent on the 0.85 factor.
[tex]X = 25000(0.85)^t[/tex] is a good equation, but not logarithmic like they ask.
[tex]log X = log 25000 + log [(0.85)^t][/tex] because the log of a product is the sum of the logs of the factors
log X = log 25000 + t*log 0.85 because the log of a power is power times log
log X - log 25000 = t* log 0.85 just algebra, subtracting from both sides
(log X - log 25000)/log 0.85 = t just algebra, dividing both sides
(b) If we let X = $5000
t = (log 5000 - log 25000)/log 0.85
= (3.69897 - 4.39794)/-0.07058
= 9.90
So t = 9.9 years is a good estimate
Carl will have approximately 5.06 years until his new car is worth about $5000.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let V(t) be the value of the car t years after it was purchased.
We know that the car depreciates at a rate of 15% annually, so the value of the car after t years can be expressed as:
[tex]V(t) = 25000 \times (1 - 0.15)^t[/tex]
Simplifying this equation, we get:
[tex]V(t) = 25000 \times 0.85^t[/tex]
Now suppose Carl wants to know how many years it will take for the car to be worth x dollars.
We can set V(t) equal to x and solve for t:
[tex]25000 \times 0.85^t = x[/tex]
log0.85(25000) +[tex]log0.85(0.85^t)[/tex] = log0.85(x)
Since log0.85(25000) is a constant, we can subtract it from both sides of the equation:
[tex]log0.85(0.85^t)[/tex]= log0.85(x) - log0.85(25000)
Divide both sides of the equation by log0.85(0.85) = 1:
t = [log0.85(x) - log0.85(25000)] / log0.85(0.85)
Therefore, the logarithmic function that would find the number of years t it will take for the car to be worth x dollars is:
t = [log0.85(x) - log0.85(25000)] / log0.85(0.85)
b) We want to find the number of years it will take for the car to be worth $5000.
Substituting x = 5000 into the formula derived in part (a), we get:
t = [log0.85(5000) - log0.85(25000)] / log0.85(0.85)
t = 5.06
Therefore, Carl will have approximately 5.06 years until his new car is worth about $5000.
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Evaluate x1 - x1 + x0 for x = 2.
0
1/2
1 1/2
2 1/2
Answer:
the answer is 0
Step-by-step explanation:
hoped I helped:)
Answer: 2 1/2
Step-by-step explanation:
what year is 40040040040049039qji34btuewrbgsnbbg snk g smart
What’s the best unit to measure the width of a stream.
Answer:
foot
Step-by-step explanation:
A stream is like a river, but is usually much smaller. Whether river or stream, the foot is the best measure of width.
Which equation matches line p?
Answer:
line p matches with the first equation
Step-by-step explanation:
A random sample of 40 business days from the past year was taken from the store
records. For each day, the net income was determined. The sample standard
deviation was found to be $57.19. How many MORE business days should be
included in the sample to be 95% confident that the sample mean i of daily net
incomes is within $10 of the population mean p of daily net incomes?
Answer:
20,00,00
Step-by-step explanation:
please help me asap!!!
Answer:
Already answered it
Step-by-step explanation:
What is the median of 30,33,38,40,51,57,81,91?
Answer:[tex]{ \left[\begin{array}{ccc}45.5\\\\\end{array}\right] }{}\\\\\end{array}\right] } ----[/tex]
Step-by-step explanation: Hey, Basically we are going to arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.
Hope this helps!
Find the Unit Rate
Amy can read 88 pages in 4 hours. What is the
unit rate? (How many pages can she read per
hour?)
Help plzzzz
Answer:
22
Step-by-step explanation:
give them brain, they're correct.
The Unit Rate for Amy will be 22 pages per hour.
What is Unit Rate?The Unit Rate is defined as means a rate for one of something.
We have,
Amy can read 88 pages in 4 hours.
So,
Now,
Number of pages Amy can read in 1 hour [tex]=\frac{88}{4}[/tex]
So,
Number of pages Amy can read in 1 hour = 22,
That means,
The Unit Rate for Amy is 22 pages per hour.
Hence, we can say that the Unit Rate for Amy will be 22 pages per hour.
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cause yo hair nappy........
Answer:
what do you mean?
Step-by-step explanation:
10. Andy is flying an airplane at an altitude of 12,000 feet over the ocean heading towards and island. His instruments show that the airplane will be directly over the island after flying horizontally 30,000 feet. To land the plane safely, Andy needs to calculate the angle of depression.
Answer:
I think is D
Step-by-step explanation: I don’t know :/
Solve the equation by balancing 3n+2=17
Answer:
3n=17-2
3n=15
n=15/3
n=5
Step-by-step explanation:
therefore putting the value of n=5 the equation can be balance
I need help, Please help me.
Answer:
Yes, SSS
Step-by-step explanation:
Well they are congruent since well the triangles are from a square which means that the sides will all be equal so therefore it is the SSS rule which stands for "side, side, side" meaning all of the sides are equal.
Apply the distributive property to create an equivalent expression.
1/5 (15+10k) =
Answer:
1/5(15+10k)
=1/5.15+1/5.10k
=3+2k
Answer:
3+2k
Step-by-step explanation:
khan said so
What is the area of one trapezoidal face of the figure
write f(x)=(x-2)(x+2)(x+1)^2 as a polynomial function
Answer:
Step-by-step explanation:
[tex](x-2)(x+2)((x+1)^2\\ \\ (x^2-4)(x+1)^2\\ \\ (x^2-4)(x^2+2x+1)\\ \\ x^4+2x^3+x^2-4x^2-8x-4\\ \\ x^4+2x^3-3x^2-8x-4[/tex]
help me on my geometry homework? :/
Answer:
You could use a graphing calculator I just used Desmos. Origin is (0, 0). Rotate 90 degrees about the origin.
I used triangles
The rotated point would be at (1, 2)
ANSWER: the question mark = 1
Help please if you know the answer
Answer:
180-140=a
180-90=b
180-a-b= your ans
3x-2y=10. 4x-y=6. solve each of the pair of simultaneous linear equation by substitution method
Answer:
x = 2/5, y= -22/5
Step-by-step explanation:
4x−y=6;3x−2y=10
Step: Solve4x−y=6for y:
4x−y+−4x=6+−4x(Add -4x to both sides)
−y=−4x+6
-y/-1 = -4x +6 over -1 (Divide both sides by -1)
y=4x−6
Step: Substitute4x−6for y in 3x−2y=10:
3x−2y=10
3x−2(4x−6)=10
−5x+12=10(Simplify both sides of the equation)
−5x+12+−12=10+−12(Add -12 to both sides)
−5x=−2
-5x/-5 = -2/5 (Divide both sides by -5)
x= 2 /5
Step: Substitute 2/ 5 for x in y=4x−6:
y=4x−6
y=4 ( 2/ 5 ) −6
y= −22 /5
(Simplify both sides of the equation)
x = 2/5, y= -22/5
which inequality has the same solution set as 3(q + 6) > 11?
3q + 18 < 11
3q + 6 > 11
q + 18 > 11
q + 18 > 11
Given:
The inequality is
[tex]3(q+6)>11[/tex]
To find:
The inequality that has the same solution set as the given inequality.
Solution:
We have,
[tex]3(q+6)>11[/tex]
Using distributive property, we get
[tex]3(q)+3(6)>11[/tex]
[tex]3q+18>11[/tex]
Since the given inequality can be rewritten as [tex]3q+18>11[/tex], therefore the inequality [tex]3q+18>11[/tex] has the same solution set as [tex]3(q+6)>11[/tex].
Hence, all options are incorrect. The required inequality is [tex]3q+18>11[/tex].
Answer:
3q+18 > 11
Step-by-step explanation:
what does the word "of" mean?
A. in addition to
B. multiply by
C. divided by
Answer:
B. multiply by
Please help me, willing to pay! Drop gcash no.
Answer:
1. a+b
2. x+7
3. r^2
4. (a-12)
5. z-14
Test test 123 123 12345678
Answer:
test test 9101112131415
Answer:
Answer answer 233 234 23456789
Step-by-step explanation:
is that right.......:)
Landen has his daily video gaming time each day for 7 days. But one day he plays and extra 50 minutes. His total video playing time for the week was 540 minutes. How long is his daily video playing time? Choose the equation that describes this word problem.
Answer:
im thinking 25 or 24
Step-by-step explanation:
sorry if i made you get it wrong
What is the value of 9.6 x 12.643?
Answer:
121.3728
Step-by-step explanation:
calcluated with calculater
Jeremy bought 3 pairs of pants for $68.25. Each pair of pants cost the same amount. How much will he pay for 5 pairs of pants at the same price per pair?
$170.63
$341.25
$113.75
$22.75
Answer:
113.75
Step-by-step explanation:
NEED ASAP !! HELP PLEASE 10 PTS
A pack of cinnamon-scented pencils sells for $9.00. What is the sales tax rate if the total cost of the pencils
is $9.27?
The sales tax rate is
[tex]\frac{28}{54} = \frac{2x+8}{5x-4}[/tex]
Step-by-step explanation:
step 1. what is the question? solve for x? okay.
step 2. 28/54 = (2x+ 8)/(5x - 4)
step 3. 28(5x - 4) = 54(2x + 8) (cross multiplication)
step 4. 14(5x - 4) = 27(2x + 8) (divide both sides by 2)
step 5. 70x - 56 = 54x + 216 (distributive property)
step 6. 16x = 272 (group x's and add 56 to both sides)
step 7. x = 17 (divide both sides by 16).