Answers
Related Questions
Which number is irrational?
A. [tex]\frac{\pi }{6}[/tex]
B. 8.1
C. Recurring decimal 11.9
D. [tex]\sqrt{36}[/tex]
Answers
Irrational numbers are not able to be written as fractions or non-recurring decimals.
B. 8.1 = 81/10
C. 11.999999.... = 12 = 12/1
D. sr(36) = 6 = 6/1
pi is already irrational so dividing it by 6 does not fix that
Ariana invested $400 in an account paying an interest rate of 3.8% compounded
monthly. Assuming no deposits or withdrawals are made, how much money, to the
nearest ten dollars, would be in the account after 11 years?
Answers
11 years = 132 months so the balance will compound 132 times.
Adding 3.8% is the same as multiplying by 1.038
400 x 1.038^132 = 54968.09
Of course the 3.8% interest per month is an effective rate of 56.4% per annum
Ariana should have invested a lot more at this amazing rate of interest.
A more reasonable question would have said the annual rate of 3.8% was compounding monthly
3.8% pa = 0.31666...% per month
400 x 1.0031667^132 = $607.17
Depending on the level of your course this answer makes more sense
Write an exponential function in the form y and (2,396) ab" that goes through points (0,11)
Answers
Answer:
[tex]y =11(6)^x[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (0,11)[/tex]
[tex](x_2,y_2) = (2,396)[/tex]
Required
The exponential function
This is represented as:
[tex]y = ab^x[/tex]
In [tex](x_1,y_1) = (0,11)[/tex], we have:
[tex]11 = ab^0[/tex]
[tex]11 = a*1[/tex]
[tex]a = 11[/tex]
So, we have:
[tex]y = ab^x[/tex]
[tex]y = 11b^x[/tex]
In [tex](x_2,y_2) = (2,396)[/tex], we have:
[tex]396 = 11 * b^2[/tex]
Divide both sides by 11
[tex]36 = b^2[/tex]
Taks square roots
[tex]6 = b\\\\b=6[/tex]
So, we have:
[tex]y = 11b^x[/tex]
[tex]y =11(6)^x[/tex]
A municipal electrical utility charges customers a $15 per month fee plus 12 cents per kilowatt-hour of energy used. Write an equation for a customer's monthly costs, C (in dollars) for electric service as a function of x, the kilowatt-hours used.
Answers
Answer:
C(x) = 15 + 12 * x
Step-by-step explanation:
Cost = monthly fee plus cost per hour * hours
C(x) = 15 + 12 * x
What is the inverse of the function f(x) = 169x2 when x ≥ 0?
A- f−1(x) = 13‾‾
B- f−1(x) = √13
C- f−1(x) = 13x
D- f−1(x) = 113
Answers
Answer:
[tex]f^{-1}(x) = \frac{\sqrt{x}}{13}[/tex]
Step-by-step explanation:
Inverse function:
Suppose we have a function y = f(x). To find the inverse, we exchange the y and the x values, and then isolate y.
Function:
[tex]f(x) = 169x^2[/tex]
That is:
[tex]y = 169x^2[/tex]
Exchanging x and y:
[tex]x = 169y^2[/tex]
Isolating y:
[tex]y^2 = \frac{x}{169}[/tex]
[tex]y = \sqrt{\frac{x}{169}}[/tex]
[tex]y = \frac{\sqrt{x}}{13}[/tex]
[tex]f^{-1}(x) = \frac{\sqrt{x}}{13}[/tex]
there are 6 glass bottles and eight plastic bottles on a rack. I f one is chosen at random, what is the probability of picking a glass bottle? Which simulation can be used to represent this situation
Answers
Answer:
6:8
Step-by-step explanation:
6 is the ratio of glass bottles and 8 is the plastic or you can put 3:4 because you divide the number b 2
what is value? WRONG ANSWERS ONLYY
Answers
What is the slope of a line perpendicular to the line containing the points (4,-7) and (-5,-1)? Express your answer as a common fraction.
40 POINTS!!!!!!
if not right i report
Answers
Answer:
3/2
Step-by-step explanation:
Slope 1 = (-1+7)/(-5-4) = 6/(-9) = -2/3
Slope 2 perpendicular to Slope 1 :
-1 ÷ -⅔ = 3/2
What are the coordinates of point K?
Answers
Answer:
Option A; [tex](\frac{5}{8} , -\frac{1}{4} )[/tex]
Hope this helps!
Answer:
i wanna say A but im not for sure
Step-by-step explanation:
Cual es la ecuación recta de m=2 y p (2,3)
Answers
Answer:
y=2x-1
Step-by-step explanation:
use slope formula
the substitute into slope intercept form
Gabriela makes a profit of $0.80 for every cup of coffee that she sells at her coffee shop. She wanted to make a profit of at least $75 today on coffee. If she sold 90 cups today, which statement is correct? She met her goal, because she made less than $75 on coffee today. She met her goal, because she made more than $75 on coffee today. She missed her goal, because she made less than $75 on coffee today. She missed her goal, because she made more than $75 on coffee today.What is the value of the expression below?
(9.5 minus 3 times 1 and one-half) divided by 0.5
0.5
5
10
19.5
Answers
Answer:
She missed her goal, because she made less than $75 on coffee today.
10
Step-by-step explanation:
Target profit = $75
Profit per cup = $0.80
Number of cups sold = 90
Profit made today = Profit per cup * Number of cups sold
= $0.80 * 90
= $72
She missed her goal, because she made less than $75 on coffee today.
2. (9.5 minus 3 times 1 and one-half) divided by 0.5
(9.5 - 3 * 1 1/2) ÷ 0.5
= 9.5 - 3 * 3/2 ÷ 0.5
= 9.5 - 9/2 ÷ 0.5
= (9.5 - 4.5) ÷ 0.5
= 5 ÷ 0.5
= 10
7 = -10s - 3 for iready
Answers
Answer:
-1 =s
Step-by-step explanation:
7 = -10s - 3
Add 3 to each side
7+3 = -10s - 3+3
10 = -10s
Divide by -10
10/-10 = -10s/-10
-1 =s
The population of a town is 1000. This is 125% of the population four years
ago. What was the population four years ago?
NO LINK
Answers
Answer:
800
Step-by-step explanation:
I think it is 1000/1.25 0r 800
Answer:
800
Step-by-step explanation:
If i left Raleigh at 9:30 am and drove and drove 6 1/2 hours what time would it be
Answers
Answer: 4:00 pm
Step-by-step explanation:
Find the dicontinuities of the function.
f(x) =
x2 + 12x + 27
x2 + 4x + 3
.
There is a removable discontinuity at
(
,
).
Answers
Answer:
Step-by-step explanation:
I'm assuming you meant to type in
[tex]f(x)=\frac{x^2+12x+27}{x^2+4x+3}[/tex] because you can only have removable discontinuities where there is a rational (fraction) function. Begin by factoring both the numerator and denominator to
[tex]f(x)=\frac{(x+3)(x+9)}{(x+1)(x+3)}[/tex] and cancelling out like terms would have us eliminating the (x + 3). That is where there is a removable discontinuity. It leaves a hole. The other discontinuity, (x + 1) doesn't cancel out so it is a non-removable discontuinity, which is a vertical asymptote.
The removable discontinuity is at -3. There is no y value at x = -3 (remember there's only a hole here), because -3 causes the denominator to go to 0 and we all know that having a 0 in the denominator of a fraction is a big no-no!!!
Solve the following question algebraically please
Answers
Answer:
c. x = ± 7
Step-by-step explanation:
2x^2 = 98
x^2 = 98 / 2
x^2 = 49
x^2 = ± 7
Answer:
c
Step-by-step explanation:
x2= 98/2
=49
x2=49
x= +_7
For this line 3x−4y−12=0, which statement is true? 1- The x-intercept is 4, and the y-intercept is 3. 2-The x-intercept is 4, and the y-intercept is -3 3-The x-intercept is 3, and the y-intercept is -4. 4-The x-intercept is 3, and the y-intercept is 4.
Answers
9514 1404 393
Answer:
2. The x-intercept is 4, and the y-intercept is -3
Step-by-step explanation:
The given equation is in general form. I find it easier to see the intercepts when the equation is written in standard form:
3x -4y = 12
Setting y=0 and solving for x, we have the x-intercept:
3x = 12 ⇒ x = 12/3 = 4
Setting x=0 and solving for y, we have the y-intercept:
-4y = 12 ⇒ y = 12/-4 = -3
The x-intercept is 4; the y-intercept is -3.
Emma wants to buy a new cell phone. She commits to saving 10% of the cost
each month. Let p be the percent she has saved after m months.
Answers
Answer:
p(m) = 0.1(m)
Step-by-step explanation:
Given that :
Percentage of cost saved per month = 10%
The percentage, p of cost saved after m months will be ;
Percentage of cost saved after m, months will be ; p(m) = Percentage of cost saved per month * number of months
p(m) = 10% * m
p(m) = 0.1(m)
I NEED HELP PLZZ.... WHATS 9+10? ill give brainliest
Answers
Answer:
WHAT IT'S 19??? HELP HAHAHAHAHA
Step-by-step explanation:
deez njuts
Answer:
19
Step-by-step explanation:
because its 19
Find the amount of interest for a 19-year investment of $4500 at a simple annual rate
of 2.73%
Answers
Answer:
A = $7,554.84
A = P + I where
P (principal) = $4,500.00
I (interest) = $3,054.84First, convert R as a percent to r as a decimal
r = R/100
r = 2.73/100
r = 0.0273 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 4,500.00(1 + 0.0273/12)(12)(19)
A = 4,500.00(1 + 0.002275)(228)
A = $7,554.84
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $4,500.00 at a rate of 2.73% per year compounded 12 times per year over 19 years is $7,554.84.
Step-by-step explanation:
What is the scale factor of this dilation? not drawn to scale
Answers
Answer:
a
Step-by-step explanation:
Possible names for the following angle -picture is shown
Answers
Answer:
EFB
Step-by-step explanation:
E,F and B I believe
Find the ratio math PLEASE HELP 11 POINTSSS
Answers
Answer:
19:13
Step-by-step explanation:
Put the number of oranges to Lemons, 19 to 13 or 19:13
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
correct√
Step-by-step explanation:
oranges=19
lemons=13
oranges to lemons = 19:13
Find x if x-log 48 + 3 log 2 = 1/3log125 - log3
Answers
Answer:
Step-by-step explanation:
x−log(48)+3(log(2))=
1
3
(log(125))−log(3)
Simplifies to:
x−0.778151=0.221849
Let's solve your equation step-by-step.
x−0.778151=0.221849
Step 1: Add 0.778151 to both sides.
x−0.778151+0.778151=0.221849+0.778151
x=1
Answer:
x=1
Solve (x + 5)∕3 = 4 for x.
Answers
Answer:
7
Step by step explanation:
1. multiply both sides by 3
3(x+5)/3 =4 x 3
2. Simplify
x + 5=12
3. Subtract 5 from both sides
x+5-5=12-5
4. Simplify
7
no links, if ur right i’ll give u brainlist!!
Answers
Answer:
answer is C. if im wrong just let me know :3
Solve this system of equations. Show your work!
12x + 6y = 12
y = x + 15
Answers
Answer: The equation has 2 positive integer solutions:
x1 = 0 y1 = 2
x2 = 1 y2 = 0
Step-by-step explanation:
The value of x = -4.334 and y = 10.667.
What is linear equations in two variables?When written as ax + by + c=0, where a, b, and c are real numbers and the coefficients of x and y, i.e., a and b, respectively, are not zero, an equation is said to be a linear equation in two variables.
For this kind of equation, the solution is a pair of values, one for x and one for y, which also make the two sides equal.
Given Equations 12x + 6y = 12...….(1)
y = x + 15
y - x = 15...….(2)
divide eq. (1) by 6
(12x + 6y)/6 = 12/6
2x + y = 2
subtract from eq. (2)
y - x - (2x + y) = 15 - 2
-3x = 13
x = -13/3 = -4.334
substitute value of x in eq. (2)
y - (-4.334) = 15
y = 15 - 4.334
y = 10.667
Hence the solution of equations gives x = -4.334 and y = 10.667.
Learn more about linear equations in two variables;
https://brainly.com/question/24085666
#SPJ2
please help step by step, please
Answers
9514 1404 393
Answer:
title: 300%payday: 650%check cashing: 214%Step-by-step explanation:
The formula for simple interest is ...
I = Prt
where P is the principal amount loaned, r is the annual rate, and t is the time in years. Solving for interest rate, we get ...
r = I/(Pt)
We assume 12 months or 52 weeks in a year.
__
Car title loan
r = 125/(500×1/12) = 3 × 100% = 300%
The APR is 300%.
__
Payday loan
r = 125/(500×2/52) = 6.5 × 100% = 650%
The APR is 650%.
__
Check cashing
r = 19.66/(478.41×1/52) ≈ 2.1369 × 100% ≈ 214%
The APR is about 214%.
Can y’all help me on question 17?!
Answers
Answer:C
Step-by-step explanation:
length•width•height
12•4•5.5=264
A study was conducted to examine whether the proportion of females was the same for five groups (Groups A, B, C, D, and E). How many degrees of freedom would the ????2 test statistic have when testing the hypothesis that the proportions in each group are all equal?
a. 1.
b. 0.20.
c. 5.
d. 4.
Answers
Answer:
d. 4
Step-by-step explanation:
The degree of freedom is the amount of independent data set used to calculate an estimate. The degree of freedom is quite different from the sample size (n). It is calculated by subtracting one(1) from the total value of the data set (sample size (n)).
From the information given:
The sample size is the number of people in the same group
sample size n = 5
degree of freedom = n - 1
= 5 - 1
= 4