Answer:
y = 18 / (x + 2)²
Step-by-step explanation:
Inversely proportional
y * (x + 2)² = k
when x=1, y=2
k = 2 * (1 + 2)²
k = 18
-----------------------
y * (x + 2)² = 18
Divide both sides by (x + 2)²
y = 18 / (x + 2)²
An investment of $8500 increases in value by 4.5% every year. How long until the investment
reaches about $17,323. Round to the nearest whole year
Answer:
At an interest rate of 4.5% compounded annually, it will take 16.17 years to reach $17,323.-
Step-by-step explanation:
Giving the following information:
Present Value (PV)= $8,500
Future value (FV)= $17,323
Interest rate (i)= 4.5%
To calculate the time required for the investment to reach the objective, we need to use the following formula:
n= ln(FV/PV) / ln(1+i)
n= ln(17,323/8,500) / ln(1.045)
n= 16.17 years
At an interest rate of 4.5% compounded annually, it will take 16.17 years to reach $17,323.-
Simplify the following expression:
(3i+ 4) -i + 4(6 +2i)
A. 14+8i
B. 27 + 11i
C. 14+41i
D. 28 + 10i
9514 1404 393
Answer:
D. 28 +10i
Step-by-step explanation:
As with any "collect terms" problem, you first identify the like terms, then add their coefficients. You can start with either the real or the imaginary terms to obtain a result that will point you to the correct answer choice. Of course, the distributive property works in the usual way.
(3i+ 4) -i + 4(6 +2i) = 3i +4 -i +24 +8i . . . . eliminate parentheses
= (4 +24) +(3 -1 +8)i . . . . . . . group like terms
= 28 +10i
work out the area of this circle
Take pi to be 3. 142 and give
your answer
to be 2
decimal places..
11, 2cm
Answer:
11.2 cm i think so ya yo write 11.2cm
Kamal invested $1200 in a savings acc paying 1.8% per yr compound interest.
he left the money in the acc for 5 yrs.
what is the amount of money in the acc at the end of 5 yrs???
give the ans with working and to the nearest cent
Answer:
A = $1311 and 96cents
Step-by-step explanation:
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
P = $1200
r = 1.8% = 0.018
n = 1 (compounded yearly)
t = 5
[tex]A = 1200(1 + 0.018)^5 = 1200 \times(1.018)^5 = 1311. 96[/tex]
Question
Raymond wants to estimate the percentage of parents who use cloth diapers. He asks a randomly selected group of 200
parents whether or not they use cloth diapers. What is the data?
Answer:
Step-by-step explanation:
Given : Raymond wants to estimate the percentage of parents that use cloth diapers. He asks a randomly selected group of 200 parents whether or not they use cloth diapers.
The parameter are the number which are used to represents the quantity of a particular characteristic in entire population.
We know that to estimate the percentage of success we use the proportion of success parameter "p".
Hence, the parameter here is "p" , the proportion of parents that use cloth diapers.
Answer:
specific "yes" or "no" responses to the survey
Step-by-step explanation:
Got it right
7 x [(26 - 5) - (5 + 6)]
Answer:70x
Step-by-step explanation: FIND BY OWN
Question 1
12.5 pts
1. A triangular prism is shown below. What is the volume of the triangular prism in
cubic inches?
15cm
112cm
9cm
12cm
ОА.
1,296 cm
OB.
180 cm
O C.
1,620 cm3
OD.
648 cm3
Question 2
willgive brainlest
Answer:
The volume of the triangular prism = 648 cm³
Step-by-step explanation:
Check the image uploaded for the diagram of the prism.
Given;
hypothenuse side of the triangle, = 15 cm
base of the triangle, b = 12 cm
height of the triangle, h = 9 cm
height of the prism, I = 12 cm
The volume of the triangular prism = Area of the base triangle x height of the prism
The volume of the triangular prism = ¹/₂ x b x h x I
The volume of the triangular prism = ¹/₂ x 12 x 9 x 12
The volume of the triangular prism = 648 cm³
Select the correct answer.
Which graph models the function f(x) = 2(x – 4)^2 + 3
Answer:
the graph is going to be facing up not down
express 30kmph in M/S
Step-by-step explanation:
30×5/18
25/3
=8.33 m/s
!!!!!!!!!
Answer:
I think the answer is 8.33 (rounded to 2 decimal points)
Cant really put it in here so look at photo Ö
Answer:
42
Step-by-step explanation:
I am preety sure !
Can someone help please? 3 |x+1|>5
Answer:
The Answer as you see
Step-by-step explanation:
Have a good luck with ur Exam
please help need asap
Answer:
[tex] \displaystyle AC = 2.18[/tex]
Step-by-step explanation:
we are given a right angle triangle where:
BC=6AC=?θ=70°since BC is the opposite side and AC is is the adjacent side of the triangle therefore we can consider using tan function given by
[tex] \displaystyle \tan( \theta) = \frac{opp}{adj} [/tex]
substitute:
[tex] \displaystyle \tan( {70}^{ \circ} ) = \frac{6}{AC} [/tex]
cross multiplication:
[tex] \displaystyle AC \tan( {70}^{ \circ} ) = 6[/tex]
b
divide both sides by tan(70°):
[tex] \displaystyle AC = \frac{6}{ \tan( {70}^{ \circ} ) }[/tex]
by using calculator we obtain:
[tex] \displaystyle AC = 2.18[/tex]
and we are done!
Which equation shows a y- intercept of -5
Hi there!
»»————- ★ ————-««
I believe your answer is:
Option B) [tex]y=x-5[/tex]
»»————- ★ ————-««
Here’s why:
Most options (Second, Third, and Fourth) are in slope intercept form.⸻⸻⸻⸻
[tex]\boxed{\text{Slope-Intercept Form}}\\\\y=mx + b\\\\\boxed{\text{Key:}}\\\\m - \text{The Slope}\\\\b- \text{The Y-Intercept}[/tex]
⸻⸻⸻⸻
We are looking for the equation where '-5' is in b's place.⸻⸻⸻⸻
[tex]\boxed{\text{Which equation shows a y-intercept of -5?}}\\\\---------\\\text{A}) -5y = x\\\\\text{This equation in slope-intercept form is }y=\frac{1}{5}x.\\\\\text{The 'b' part is not shown. This means that the line passes through the}\\\text{origin.}\\\\---------\\\\\text{B})\text{ }y = x-5\\\\\text{This option shows a slope of one and a y-intercept of -5.} \\\\\text{Therefore, \boxed{\text{option B is the correct answer.}}}\\\\----------\\\text{Option C has a y-intercept of 5, and Option D has a}\\[/tex]
[tex]\text{y-intercept of 1.}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
The temperature at 12 p.m. wa
34. The temperature at 12 a m
was-16. What was the difference
in the temperatures?
An elevator was at the 4floor
It traveled up 18 floors, down 7
floors, up 6 floors and down 2
floors. What floor did the elevator
end up on?
submarine was traveling at 62
feet below sea level. It rose 17
feet, dropped 250 feet, then rose 25
feet. What was the submarines
Final position?
Answer:
first is 52°C
Step-by-step explanation:
Emiko makes shibori scarves and sells them for 48 each on a website for hand made goods the expression 48s represents the total price of buying s scarves.
Answer:
Step-by-step explanation:
true
1. number of scarves
2. price per scarf
Step-by-step explanation:
Which expression is positive
Answer:
I would say none of the above
Step-by-step explanation:
When you evaluate A & B they both give you negatives So C
Good luck on Khan academy ;)
Answer:
the answer should be C
Step-by-step explanation:
the first two questions both come out to negative numbers so the only option would be the third.
One bag contains 6 red, 2 blue, and 3 yellow balls. A second bag contains 2 red, 4 blue, and 5 yellow balls. A third bag contains 3 red, 7 blue, and 1 yellow ball. One bag is selected at random. If 1 ball is drawn from the selected bag, what is the probability that the ball drawn is yellow?
Answer:
2 is the probability
Step-by-step explanation:
The triangular prism has a square base face of 8 cm. The perpendicular height from
the square base face is 15 cm. The surface area in square centimetres is
15 cm
8 cm
B.
248
264
A
384
C 324
Last year, a French restaurant used 792,800 ounces of cream. This year, due to a menu
update, the restaurant used 673,880 ounces of cream. By what percentage did the
restaurant's annual cream usage decrease?
Verne has 5 math books to line up on a shelf. Jenny has 4 English books to line up on a shelf. In how many more orders can Verne line up his books than Jenny
Answer: 96
Step-by-step explanation:
Given
Verne has 5 math books to line up on a shelf
Jenny has 4 english books to line up on a shelf
No of ways Verne can arrange the books are [tex]5![/tex]
No of ways Jenny can arrange the books are [tex]4![/tex]
Difference between them
[tex]=5!-4!\\=120-24\\=96[/tex]
Thus, Verne can line up 96 more orders than Jenny
convert 495.05 to fraction
Answer:
495 1/20
Step-by-step explanation:
Answer:
[tex]495.05 = \frac{49505}{100} = \frac{9901}{20}[/tex]
I need help with this asap thank you so much
Answer:
C
Step-by-step explanation:
An insurance company has provided you with a sample of paid claims. The sample includes the following claims: 192, 113, 200, 287, and 225. What are the mean and the variance respectively of this sample rounded to nearest whole number
Answer:
The mean of this sample is 203.
The variance of this sample is 3154.
Step-by-step explanation:
Mean:
Sum of all values divided by the number of values.
In this case:
[tex]M = \frac{192 + 113 + 200 + 287 + 225}{5} = 203.4[/tex]
Rounding to the nearest whole number, 203.
Variance:
Sum of the difference squared between each value and the mean, divided by the number of values. So
[tex]V = \frac{(192-203.4)^2 + (113-203.4)^2 + (200-203.4)^2 + (287-203.4)^2 + (225-203.4)^2}{5} = 3153.8[/tex]
Rounding to the nearest whole number, 3154.
The mean of this sample is 203. The variance is 3154.
The variance of this sample is 3154.
Mean is given by,
[tex]M=\frac{192+113+200+287+225}{5}[/tex]
M=203.4
Sum of all values divided by the number of values.
In this case:
[tex]M=\frac{192+113+200+287+225}{5}\\M=203.4[/tex]
Rounding to the nearest whole number, 203.
What is the variance?Some of the differences squared between each value and the mean are divided by the number of values. So
[tex]V=\frac{(102-203.4)^2+(113-203.4)^2+.......+(225-203.4)^2}{5}\\V=3153.8[/tex]
Rounding to the nearest whole number, 3154.
To learn more about the variance visit:
https://brainly.com/question/25639778
#SPJ5
Natalie bought 4 large drinks and 4 large bags of popcorn. Each bag of popcorn cost $4.00 each and she spent $26. How much was each large drink?
WRITE AN EQUATION
HELP ASAP WILL MARK BRAINLEST
Answer:The drinks are $2.50 each
Step-by-step explanation:$4.00 x 4 = $16.00 then do $26 - $16 = 10 and 10 divided by 4 = 2.5
Convert 10π/6 radians into degrees.
We know that ,
[tex]\pi rad = 180^o[/tex]
SOLUTION :Using Unitary Method ,
[tex]\implies 1 \ rad = \dfrac{180^o}{\pi } [/tex]
Therefore ,
[tex]\implies \dfrac{10\pi}{6} rad = \dfrac{10\pi}{6} * \dfrac{180^o}{\pi } [/tex]
[tex]= \boxed{\red{ 300^o }}[/tex]
Required answer !
Where would (2,-4) be on the coordinate plane?
Answer:
fourth quadrant
Step-by-step explanation:
The table shows the balance of a money market account over time. Write a function that represents the balance y (in dollars) after t years.
9514 1404 393
Answer:
y = 2200(1.08^t)
Step-by-step explanation:
The interest earned the first year is ...
(2376 -2200)/2200 = 0.08 = 8%
The balances the remaining years are consistent with that interest being compounded annually. An appropriate function is ...
y = 2200(1.08^t)
_____
The compound interest formula is ...
A = P(1 +r/n)^(nt) . . . . principal P earning rate r compounded n times per year for t years
Plz help me ..?????a........
Answer:
Hope it's correct
Step-by-step explanation:
I believe it's week 2.
What is the slope of the line that passes through the points (-2, 3) (−2,3) and (-14, -5) ?(−14,−5)? Write your answer in simplest form.
Answer:
2/3
Step-by-step explanation:
the steps are in the pic above
Several years ago, 39% of parents who had children in grades K-12 were satisfied with the quality of education the students receive. A recent poll asked 1,045 parents who have children in grades K-12 if they were satisfied with the quality of education the students receive. Of the 1,045 surveyed, 471 indicated that they were satisfied. Construct a 99% confidence interval to assess whether this represents evidence that parents' attitudes toward the quality of education have changed.
Answer:
let p be the population proportion of parents who had children in grades k-12 were satisfied with the quality of education the students receive.
Step-by-step explanation: