Answer: B. 16.72 years
Step-by-step explanation:
If interest is compounded bi-monthly, the formula to calculate the accumulated amount (A) is given by:-
[tex]A=P(1+\dfrac{r}{24})^{24x}[/tex] , where P = principal , r= rate of interest, x= time period(years).
[1 year =12 months, total periods in 12 months if period per month is 2 = 2 x 12 =24]
Given: P= 1000, A= 2000, r= 4.15% = 0.0415
Substitute all values in formula , we get
[tex]1000\times (1+\dfrac{0.0415}{24})^{24x}=2000\\\\\Rightarrow\ (1.00172916667)^{24x}=2\\\\\text{Taking log on both sides, we get}\\\\\Rightarrow \ln(1.00172916667)^{24x}=\ln2\\\\\Rightarrow 24x\ln(1.00172916667)=\ln2\\\\\Rightarrow\ x=\dfrac{\ln 2}{24\ln(1.00172916667)}\approx16.72\ years[/tex]
Hence, option B. is correct.
Which order pair is the solution of the system of equations shown?ITS DUE TONIGHT HELP
Y= -x + 5
Y= 5x - 6
A. (1/6, 29/6)
B. (1/4, 19/4)
C. (11/6, 19/6)
D. (11/4, 9/4)
Answer:
Step-by-step explanation:
-x + 5 = 5x - 6
-6x + 5 = -6
-6x = -11
6x = 11
x = 11/6
-11/6 + 30/6= 19/6
(11/6, 19/6)
answer is C
PLEASE HURRY IT DUE IN 59 MIN WILL GIVE BRAILYEST Elliot has been running a lawn care business since 2000. He cuts grass, trims, and weed whacks yards for his customers throughout the season. Each year, he has increased his fee by the same amount. The table shows what Elliot charged each customer for two given years of his business:
Year Lawn Care Fee
2000 $750
2010 $1350
A. What is the rate of change and initial value for Elliot's business? How do you know?
B. Write an equation in slope-intercept form to represent the fees that Elliot charges each year.
look this question has already been answered
https://brainly.com/question/1556676
https://brainly.com/question/1556676
https://brainly.com/question/1556676
https://brainly.com/question/1556676
graph the solution on the number line |x-3| <5
Answer:
-2<x<8
see below for graph
Step-by-step explanation:
First, we need to solve the inequality.
Inequality: |x-3|<5
Split into two equations:
x-3<5
x-3>-5 (notice how the sign is flipped when we make the number negative)
let's start with x-3<5
add 3 to both sides
x<8
now
x-3>-5
add 3 to both sides
x>-2
The graph is below
the intersection is the solution.
Notice how I made the maroon line go to the right- which shows that it's greater than (for x>-2) and the silver line go to the left, which shows that it's less than (for x<8)
the equation is -2<x<8
Hope this helps!
Write the equation that passes through the following points:
(5,0) and (−10,−5)
Answer:
The answer is:
[tex]y = \frac{1}{3} x - \frac{5}{3} [/tex]
Step-by-step explanation:
❃Incase you forgot what the linear equation formula is ☟
[tex]y = mx + b[/tex]
❃Incase you also forgot, The is what the slope formula is ☟
[tex]m = \frac{y_2 - y_1 }{x_2 - x_1}[/tex]
➊ First: We are going to be solving for the slope.
[tex]m = \frac{ - 5 - 0}{ - 10 - 5} = \frac{ - 5}{ - 15} = \frac{1}{3} [/tex]
➋Second: We find the y-intercept.
[tex]y = mx + b \\ 0 = \frac{1}{3} (5) + b \\ 0 = \frac{5}{3} + b \\ \frac{ - \frac{5}{3} = - \frac{5}{3 } \: \: \: \: \: \: \: \: \: \: \: \: }{ - \frac{5}{3} = b} [/tex]
➌Third: Plug in.
[tex]y = \frac{1}{3} x - \frac{5}{3} [/tex]
a rancher in Colorado needs to build a square pen for the cattle this winter he figured he needs an area about 625 square yards what are the dimensions of his pen
Answer:
156.25
Step-by-step explanation:
So, we know that this is a square so we know that each side will equal the same.
So, all we need to do is divide 625 by 4. We will get 156.25.
Hope this helps!
A variable needs to be eliminated to solve the system of equations below. Choose the
correct first step.
7x +y = 33
-7x + 6y = -47
Answer:
x=5 and y=-2
Step-by-step explanation:
The given system of equations are :
7x +y = 33 ....(1)
-7x + 6y = -47 ....(2)
We need to find the solution of the given equations.
Adding equation (1) and (2) we get :
7x +y + (-7x) +6y = 33+(-47)
7y = -14
y = -2
Put the value of y in equation (1).
7x +(-2) = 33
7x-2=33
7x=33+2
7x = 35
x = 5
Hence, the solution of the above equations are x=5 and y=-2
Write an equation for a rational function with:
Vertical asymptote at x=-3 and x=-6
X intercept at x=-2 and x=2
Horizontal asymptote at y=5
Answer:
Step-by-step explanation:
Write an equation for a rational function with: Vertical asymptotes at x = 4 and x = -6 x-intercepts at x = -5 and x = 3 y-intercept at 7
Repost since nobody answered. Increased points to 25. Marking brainliest.
Congruence
Why are the triangles congruent
Answer:
A
Step-by-step explanation:
A.
I thought I just answered this
Answer: I learned about these a few years ago in math, and I hated it and sucked at it and it was awful, but ANYWAY, I think the answer is A, angle side angle
Step-by-step explanation: I think the answer is A because:
Angle-side-angle (asa) is when two angles and a side are the same on two triangles, they are congruent.
Angle-angle-side (aas) is when two sides and an angle are the same on two triangles, they are congruent.
Side-side-side (sss) is when all the sides of two triangles are the same, they are congruent.
Side-angle-side (sas) is when two sides and an angle are the same on two triangles, they are congruent.
So Angle side angle is the only one that makes sense. But again, I sucked at this when I was learning it, so I could be totally wrong. I'm pretty sure I'm right though. If I am, would you mind marking branilest? :)
can you help me solve y = -3x + 16
Answer:
13x=y
-3 + 16 = 13
13x=y
Darren is on a super efficient diet. He started with 210 pounds 2 months ago and he now weighs 150 pounds . Find his percent of decrease.
Answer:
29%
Step-by-step explanation:
210-150/210 = 60/210 or 6/21
Now we have to find the percent out of 100 so we have to find out 100/21 to see what we have to multiply by to get to 100 so we can do the same with the 2 (numerator) so 1000/21= 4 16/21
then we have to multiply the 6 by 4 16/21 which is about 29%
The table shows a proportional relationship between the weight on a spring scale and the distance the spring has stretched.
a. Complete the table.
b. Describe the scales you could use on the x and y axes of a coordinate grid that would show all the distances and weights in the table.
distance (cm) weight (newtons)
20 28
55
140
1
Answer:
55= 39 2/7
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
As per the first row of proportional relationship, the proportion is:
y = kx28 = k*20k = 28/20 = 1.4The function is therefore:
y = 1.4xa) Table is filled in below:
distance (cm) | weight (newtons)
20 | 28
55 | 55*1.4 = 77
140/1.4 = 100 | 140
1 | 1*1.4 = 1.4
---------------------------------------------------------------
b) The scale should consider the coefficient 1.4, therefore x- axis will have a scale of 100 with intervals of 1 cm and y- axis will have a scale of 140 with intervals of 1.4 newtons
The most confused that i have been
Answer:
(-5, -3)
Step-by-step explanation:
To graph the two equations, you can look at two things, the slope and the y-intercept.
The two equations are in slope-intercept form, y= mx + b. m is the slope and b is the y-intercept. The slope is rise/run and the y-intercept is where the line crosses the y-axis.
In the first equation, the slope is -1 and the y-intercept is -8. So, to graph you would start at (0, 8) and move up one unit and then left one unit to get the next point.
For the second equation, the slope is 2/5 and the y-intercept is -1. So, to graph you would do the same thing. Start at (0, -1) and then go up 2 units and right 5 units to get the next point.
I've attached a graph below if you need it.
please help asap!
Solve for X.
Answer:
I believe it's 12
Step-by-step explanation:
I hope this helps
What's half an hour mean?
Answer:
30 minutes
Step-by-step explanation:
half an hour means 30 minutes
An architect creates a scale model of a building with a scale of 3 inches =11 feet of the actual width of the building is 121 feet what is the width of the scale model
Answer:
The width of the scale model is 33 inches.
Step-by-step explanation:
This question is solved making a relation with the scale model.
In the scale, 3 inches are worth 11 real feet.
The actual width of the building is 121 feet, so we find it's scale by a rule of three.
3 inches - 11 feet
x inches - 121 feet
[tex]11x = 121*3[/tex]
Simplifying by 3, both sides
[tex]x = 11*3 = 33[/tex]
The width of the scale model is 33 inches.
a group of 8 students was asked, " how many hours did you watch televison last week?" here are thier responses; 19,10,8,13,5,17,6,9 . find the mean and median number of hours for these students. if nevessary, round your answers to the nearest tenths.
I need help with this
Answer:
y = 103
y = 180 - 77 = 103
Step-by-step explanation:
........
Answer:
103
Step-by-step explanation:
All we have to do is subtract the measure of the line which is 180 by 77 to get the measure of < y. Since they are adjacent to each other this concept will work but if they weren't it would be a little different.
[tex]y+77=180\\y=130[/tex]
So the measure of < y is 130°
Help I’m failing math
Step-by-step explanation:
the answer is 72.70 cents
Answer: See explanation
Step-by-step explanation:
Markup is 39% of the cost.
Markup is what is added to the price to get the retail price.
39% × 72.72
0.39 × 72.72 = 28.3608
28.3608 ≈ 28. 36
Markup ≈ $28.36
Retail price is the price you get after you add the markup to the original price.
Retail price: Cost + Markup
Retail price: $72.72 + $28.36
Retail price = $101.08
jessica can shoot 10 photos in 10 minutes how may photes can she take in 1 hour
Answer:
60 photos
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
because there is 60 minutes in an hour so she ca take 60 pics in 1 hour.
Type your number answer in decimal form. Do not round.
2,500grams= kilograms.
Answer:
2.5 kg
Step-by-step explanation:
1000 grams in 1 kg
2500 grams in 2.5 kg
Help I’m being timed!!
Answer:
False the radius would be 6.5
Step-by-step explanation:
Hope this Helps! :)
help now plssss!!!!!!!!!!
Answer:
epic
Step-by-step explanation:
help!! with any, ASAP
12 5/6 -7 1/3
fractions reduceing
Answer: 5 1/2
Step-by-step explanation:
12 5/6 - 7 1/3
Find an equivalent fraction for 7 1/3
12 5/6 - 7 2/6
5 3/6
Simplify
5 1/2
12 5/6 - 7 1/3
12-7= 5 and
5/6-1/3= {lcm of 6 and 3}
5-2/6= 3/6
3/6 = 1/2
final answer = 5 1/2
Mr Magee wrote the expression shown Below on the board if the expression has a value of 8 which of the following is the value of n
Step-by-step explanation:
512^(1/n) = 8
(2⁹)^(1/n) = 2³
2^(9/n) = 2³
=> 9/n = 3, n = 3. (D)
P.S.
Law of Indices: (a^m)^n = a^(mn)
Initial Knowledge Check
Question 10
A parachutist's speed during a free fall reaches 231 feet per second. What is this speed in meters per second? At this speed, how many meters will the
parachutist fall during 5 seconds of free fall? in your computations, assume that 1 meter is equal to 3.3 feet.
Do not round your answers,
132 feet/s
132/3.3 m/s
40 m/s
in 10132 feet/s
132/3.3 m/s
40 m/s
in 10 seconds
40 * 10
400 m
Sam and two friends put letters in envelopes on Monday.
The three of them take two hours to put 600 letters in envelopes.
On Tuesday Sam has three friends helping.
Working at the same rate, how many letters should the four of them be able to put in
envelopes in two hours?
Answer: 800 envelopes
Step-by-step explanation:
Sam and her friends are working at a rate of 100 letters in envelopes per hour per person. So, if there are 4 people helping including sam, you just have to multiply 400 by 2 hours, which will give you 800.
A certain drug is made from only 2 ingredients: compound A and compound B. There are 4 milliliters of compound A used for every 5 milliliters of compound B. If a chemist wants to make 666 milliliters of the drug, how many milliliters of compound B are needed?
Answer:
370 millimeters of compound B is needed for 666 millimeters of solution.
Step-by-step explanation:
Given that:
4 millimeters of compound A are used for every 5 millimeters of compound B.
The scientist wants to make 666 millimeters of solution.
Let,
x be the multiplier number of the compounds in the solution.
Then,
4x + 5x = 666
9x = 666
Dividing both sides by 9
[tex]\frac{9x}{9}=\frac{666}{9}\\x=74[/tex]
Millimeters of compound B = 5x = 5(74) = 370 millimeters
Hence,
370 millimeters of compound B is needed for 666 millimeters of solution.
The pet store can keep 14 fish in each tank. To find the number of tanks needed for 338 fish, the store manager solved the problem below.
Answer is multiple 2 by 14
Answer:
I beilieve it would be about 24 tanks
Step-by-step explanation:
which is the correct way to write the square root of 16
Answer:
what is a square root...?
Step-by-step explanation: