Answers
Answer:
Step-by-step explanation:
Function rule:
y = 10(0.95)ˣ
If a function is given as,
y = a(b)ˣ
a represents 'Initial value'
b represents the growth factor
If 0 < b < 1, function is a decay function.
If b > 1, function is a growth function.
For 2 = 10(0.95)ˣ,
Here, b = 0.95 which is in the interval of 0 < 0.95 < 1
So it's a decay function.
[tex]\frac{2}{10}=(0.95)^x[/tex]
log(0.2) = log[(0.95)ˣ]
log(0.2) = x[log(0.95)]
-0.6989 = -x(0.0223)
x = 31.44
x ≈ 31
Meaning → For 'x' = 31, value of the function is 2.
For 8 = 10(0.95)ˣ,
0.8 = (0.95)ˣ
log(0.8) = log(0.95ˣ)
log(0.8) = xlog(0.95)
x = 4.35 ≈ 4.4
Means, at x = 4.4, value of the function was 8.
Related Questions
Explain how to find the constant rate of change from the verbal description below.
Joe can drive his motorcycle 124 miles in 2 hours. If he goes at a constant speed what is the constant rate of change? (solve it but also explain how you would solve it)
Answers
Answer:
62miles/1hr
Step-by-step explanation:
In order to get the rate of change I divided 124 miles by 2 hours to get 62 miles.
Write 0.721 as a fraction. Show your work.
Answers
Step-by-step explanation:
721/100
It is correct answer
(If you want me to explain I can)
Hope this helps
Have a great day/night
The manager of an amusement park is setting the price of a wookend admission to the
park based on a summer membership of $78. Sho wants the summer membership to bo
$12 loss than 3 times the cost of a wookend pass to the park. Which equation can the
amusement park manager use to find, x, the cost of the wookend admission?
I NEED THIS ANSWER RNN
PLEASEEEEEE 30 points 30 points 30 points
Answers
Step-by-step explanation:
We have
Summer membership + $12 = 3(Weekend pass).
=> ($78) + ($12) = 3x
=> 3x = $90
=> x = $30.
Hence the weekend admission is $30.
Answer:
3x-12=78
Step-by-step explanation:
This is my thinking:
So because x is the cost of the weekend admission, the problem says 12 less than 3 times the cost of the weekend admission. The 3 times the cost of the weekend admission is the 3x, and the problem says 12 less than and that is the -12. And the whole equation is being taken from 78, so
3x-12=78.
Help please will mark brainliest
Answers
Answer:
FalseStep-by-step explanation:
Line a
y = 5x - 6, it has slope of 5Line b
x + 5y = 5Rewrite in slope-intercept form to find its slope:
5y = -x + 5y = -1/5x + 1It has slope of -1/5Lines have different slopes: 5 and -1/5, therefore are not parallel
Answer:
The answer to the question provided is False.
Step-by-step explanation:
‣We are going to have to find the value of y for line b.
‣We are going to solve its equation.
[tex]x + 5y = 5 \\ \frac{- x \: \: \: \: \: = - x}{ \frac{5y}{5} = \frac{ - x + 5}{5} } \\ y = - \frac{1}{5} x+ 1[/tex]
‣So we have:
[tex]y = 5x - 6 \\ and \\ y = - \frac{1}{5} x + 1[/tex]
‣Remember that a slope is parallel to another slope if it has the same slope.
‣A slope is perpendicular to another slope if it has a negative reciprocal.
‣The slopes we have don't have the same slope, but they are perpendicular.
help Math 39 points Asap Probability image below
Answers
Answer:
1/10
Step-by-step explanation:
There are 3 reds and 2 blues. He picks one and then another with no replacement. ? of getting 2 blues.
There are five marbles altogether.
First is 2/5
The second blue is 1/4
The chance of them both being blue is 2/5 * 1/4 = 2/20 = 1/10
What is the Circumference of a circle with a radius of 15mm? There are no choices
Answers
Answer:
90
Step-by-step explanation:
How to solve this I need it done by tonight please
Answers
Step-by-step explanation:
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
the mail slot is 24cm in width and 7cm in length what is the maximum width of the mail slot
Answers
Answer:
24 cm
Step-by-step explanation:
it says that the mail slot is 24 cm in width
Answer:
Step-by-step explanation:
14cm
Jennifer bought a mountain bike priced at $315.00. She received a 19% discount because the dealer was overstocked. She had to pay an 8% sales tax on the amount she actually paid for the bike what was the total cost of the bike including tax
Answers
Answer:
$275.562
Step-by-step explanation:
Step 1
Find the discounted price
Jennifer bought a mountain bike priced at $315.00. She received a 19% discount because the dealer was overstocked.
Discount = $315 × 19%
= $59.85
Discounted price = $315 - $59.85
= $255.15
Step 2
Sale Tax
She had to pay an 8% sales tax on the amount she actually paid for the bike
Hence:
$255.15 × 8%
Sale Tax = $20.412
Step 3
The total cost of the bike including tax is calculated as:
$255.15 + $20.412
= $275.562
A computer has a sales price of $150, and is advertised for 25% off of the original price.
What is the original price?
Answers
Answer:
Original price:$150
Markdown percentage:25%
Sale price:$112.50
Discount savings:$37.50
Step-by-step explanation:
There are 31 pink beads and 15 purple beads on Violet's necklace. What is the ratio of the number of beads to the number of pink beads?
Answers
Answer:
The ratio of number of purple beads to the number of pink beads is: 15:31
Step-by-step explanation:
Number of pink beads = 31
Number of Purple beads = 15
We need to find ratio of number of purple beads to the number of pink beads
So, The ratio of number of purple beads to the number of pink beads is:
Number of purple beads : Number of pink beads
15 : 31
Since it cannot be simplified further, So
The ratio of number of purple beads to the number of pink beads is: 15:31
Harry is reading a book that is 597 pages long. He tells a friend that he is about 2/3 of the way done. About how many more pages must Harry read before he finishes the book?
Answers
Answer:
This reading habit has helped me finish 7 books in 10 weeks. ... reports he had brought with him and said, “Read 500 pages like this every day. ... You simply have to make time to read.
PLEASEEE HELPPPP ASAPPP PLEASE
Answers
b-it is on the graph
c- (1,1), (0,0) (I just picked 2 random points that weren’t on the line)
180° rotation
Pre rotation points
Answers
Answer:
whats the question???????????
What effect does inflation have on the prices of goods and services?
A. Prices decrease
B. Prices double
C. Prices increase
D. Prices stay the same
Answers
Answer:
C, price increases
Step-by-step explanation:
this is correct I promise you.
Answer:
C
Step-by-step explanation:
Prices increase because there is a higher demand for the product, but it does not double because each individual seller can set their price.
Which graph has a slope of -3?
Answers
D.
Its the only one going down 3 and over 1.
The answer would be D because it says -3 and not just 3.
The perimeter of a rectangular lot of land is 448 A. This includes an easement of x feet of uniform width Inside the lot on which no building can be done . If the buildable area is 140 ft by 64 determine the width of the easement.
Answers
Answer:
[tex]5\ \text{ft}[/tex]
Step-by-step explanation:
Perimeter of rectangular lot = [tex]448\ \text{ft}[/tex]
The width of the easement is [tex]x\ \text{ft}[/tex]
Buildable area 140 ft by 64 ft
[tex]2(140+2x)+2(64+2x)=448\\\Rightarrow 140+2x+64+2x=\dfrac{448}{2}\\\Rightarrow 204+4x=224\\\Rightarrow x=\dfrac{224-204}{4}\\\Rightarrow x=5\ \text{ft}[/tex]
The width of the easement is [tex]5\ \text{ft}[/tex].
Sue is thinking of buying some 2-liter sodas which are on sale for $1.25 each. The total cost, c, ofall the 2-liter sodas will be proportional to the number of 2-liter sodas, s, that she buys.Which equation represents the relationship between cand s?
Answers
factor x^3 +7x^2−5x−35
Answers
Answer:
(x^2-5)(x + 7)
Step-by-step explanation:
Here, we want to factorize the given expression
That would be;
x^2(x + 7) - 5(x + 7)
= (x^2-5)(x+ 7)
Answer:
(x+7) (x^2 - 5)
Step-by-step explanation:
x
3
+7x
2
−5x−35
=x
2
(x)+x
2
(7)−5(x)−5(7)
=x
2
(x+7)−5(x+7)
Now we are left with a common factor of (x+7)(x+7)left parenthesis, x, plus, 7, right parenthesis, so we can factor it out:
\begin{aligned} &\phantom{=}x^2\purpleC{(x+7)}-5\purpleC{(x+7)} \\\\ &=\purpleC{(x+7)}(x^2-5) \end{aligned}
=x
2
(x+7)−5(x+7)
=(x+7)(x
2
−5)
I found my VibeBuddy ong im too happy!!!!!!!!!!!!
Answers
Answer: OMG i hope they are nice to you
Step-by-step explanation:
Anyone know the answer?!
Answers
Answer:
B
Step-by-step explanation:
the third and fourth ones
z varies directly with q. when z=2,q=1 .
find a formula connecting z and q
z=???
Answers
Answer:
[tex]z = \frac{q}{2} [/tex]
Step-by-step explanation:
[tex]z \infty q[/tex]
[tex]z = kq[/tex]
[tex]z = 2 \: and \: q = 1[/tex]
[tex]2 = k1[/tex]
[tex]k = \frac{2}{1} [/tex]
[tex]z = \frac{1}{2} q[/tex]
[tex]z = \frac{q}{2} [/tex]
9514 1404 393
Answer:
z = 2q
Step-by-step explanation:
The formula for direct variation is ...
z = kq . . . . . k is the constant of proportionality
We can find k using the given values of z and q:
k = z/q = 2/1 = 2
Then the equation connecting z and q is ...
z = 2q
please help, urgent. picture shown.
Answers
Answer: 80
Step-by-step explanation:
First, find the area of the square by doing 12 x 12. (Which = 144)
Then, find the area of the circle. This is found by using the formula of 1/4 • π • 9 squared.
This should get you 63.62, or 64 when rounded up.
You then subtract 64 from 144 and get 80 for your answer.
What is X+Y?? and ( x+ y)- 7+8
Answers
Step-by-step explanation:
What is X+Y?
First note that if x + y = xy then neither x nor y can be equal to 1.
That being said, as a previous user already noted y = x/(x-1) and hence x - y = x - x(x-1) = x(x-2)/(x-1). Assume x - y = D. Then your question becomes what can D be so that the equation x(x-2)/(x-1) = D has a solution different than 1.
Rewrite this equation as x(x-2) = D(x-1) and note that x(x-2) = (x-1)^2 - 1. Replace x - 1 with z. So your question is what can D be so that the equation z^2 - 1 = Dz has a nonzero solution? Given that 0 cannot be a solution anyway of the previous equation. The question is really, for which D does the quadratic equation z^2 - Dz - 1 = 0 have solutions? By elementary 9th grade math, this equation has a solution when its discriminant D^2 + 4 is nonnegative. But D^2 + 4 is strictly positive regardless of the value of D. Hence D can be anything.
How to solve your question
Your question is
(+)−7+8
Simplify
1. Eliminate redundant parentheses
(+)−7+8
+−7+82
Add the numbers
+−7+8
++1
Solution
++1
If f(x) = 3x-2, find f(8) - f(5)
Answers
Answer:
9
Step-by-step explanation:
f(8)=3(8)-2=22
f(5)=3(5)-2=13
22-13=9
Answer:
f(8) - f(5) = 9
Step-by-step explanation:
So our function is:
f(x) = 3x - 2
Therefore, f(8) becomes:
f(8) = 3(8) - 2 = 24 - 2 = 22
And f(5) is:
f(5) = 3(5) - 2 = 15 - 2 = 13
Finaly, f(8) - f(5) is therefore:
22 - 13 = 9
So f(8) - f(5) = 9
Hope this helps!
what is−1/2−(−5/9) as a fraction in simplest form
Answers
Answer:
1/18
Step-by-step explanation:
-9/18 + 10/18
Answer:
1/18
Step-by-step explanation:
Match each expression with its value.
15 ÷12
12 ÷ (-15)
12 ÷ 15
15 ÷ (-12)
-0.8
0.8
-1.25
1.25
Answers
2. -0.8
3. 0.8
4.-1.25
3. | 0.8
4. | -1.25
2. | -0.8
 thanks for the help but I need this answer please!!!
Answers
Answer:60 degrees
Step-by-step explanation:
Your other angle is 120 - a straight line has angles must add up to 180. 180-120=60 degrees
PLS help!!
Function 1 is defined by the equation d=-3/7t-4
Function 2 is defined by the following table.
Which Function has a more negative slope?
O function 1
O function 2
O both have the same slope
Answers
Answer:
function 2
Step-by-step explanation:
Answer:
Function 2
Step-by-step explanation:
Jamie spent 1 ½ hours swimming in the pool on Monday. On Tuesday, she swam for 2 ¼ hours. How many hours did Jamie swim in all?
Answers
Answer:
3 3/4
Step-by-step explanation:
