Answer:
42cm
Step-by-step explanation:
3:7
width:length
18cm width(7cm length/3cm width)=42cm length
Calculate simple interest : $125. 4 years, at 10% interest ..(how much is the interest alone?)
Here we have been clearly given with Principal, time period and rate of interest.
Principal (P) = $125Rate (R) = 10%Time (T) = 4 yearsWe have to calculate the simple Interest.
As we know that simple Interest is calculated by the formula :
[tex]\pink{\boxed{\sf{S.I. \: = \: \dfrac{P \times R \times T}{100}}}} \: \bigstar[/tex]Where,
S.I. is simple Interest R is rate of interest T is timePutting the values :
[tex]: \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times 10 \times 4}{100}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times \cancel{10} \times 4}{ \cancel{100}}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times 1 \times 4}{10}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times 4}{10}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{ \cancel{125} \times 4}{ \cancel{10}}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{{25} \times 4}{ 2}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{{25} \times \cancel{4}}{ \cancel2}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{{25} \times 2}{1}} \\ \\ : \: \implies \: \sf{S.I. \: = \: 25 \times 2} \\ \\ : \: \implies \: \red{\bf{S.I. \: = \: 50}} [/tex]
Visit more :
https://brainly.com/question/26734922Q. Of the 100 students in 7th grade , 4 out of every 10 students said that pizza
was their favorite food. Based on this, how many students did NOT say pizza was their
favorite food?
Find two numbers with sum 82 and difference 30.
Answer: I think it would be 112.
Step-by-step explanation:
Which of the following equations represent linear functions?
The picture will be shown
The average person laughs 15 times per day.
Pls help need this for my finalWhat is the value of x in the isosceles trapezoid below?
A. 13
B. 26
2
A
C. 11
D. 22
Answer:
A) 13!
Step-by-step explanation:
Just answered the question!
Answer:
13
Step-by-step explanation:
somebody help me answer these ik I'm not the smartest
Answer:
1. 3/5
2. 70/9
3. 12 3/5
Step-by-step explanation:
hope it helps
Answer:
reduce 18/30
divide both numerator and denominator by 6
3/5
change to improper 7 7/9
multiply 7*9=63
63+7=70
70/9
Change to mixed number 63/5
63/5=12 remainder 3
12 3/5
What is the equation of the line that passes through the point (4, 3) and has a slope
of 1?
Answer:
y=x-1
Step-by-step explanation:
Answer:
y=x1
Step-by-step explanation:
0.000603 in scientific notation
Evaluate
15/r when r=5
Answer:
3
Step-by-step explanation:
[tex]\frac{15}{r} =\frac{15}{5}=3[/tex]
In this soccer season Emma has scored one more than twice the number of Nikki's goals if Emma has scored 15 goals which equation can be used to find X number of goals
Answer:
[tex]X = 22[/tex]
Step-by-step explanation:
Given
Represent Emma with E and Nikki with N
From the question, we have that:
[tex]E = 1 + 2N[/tex]
and
[tex]E = 15[/tex]
Required
Determine the X number of goals
Substitute 15 for E in [tex]E = 1 + 2N[/tex]
[tex]15 = 1 + 2N[/tex]
Subtract 1 from both sides
[tex]15 -1 = 1 - 1 + 2N[/tex]
[tex]14 = 2N[/tex]
Divide both sides by 2
[tex]\frac{14}{2} = \frac{2N}{2}[/tex]
[tex]\frac{14}{2} = N[/tex]
[tex]7 = N[/tex]
[tex]N=7[/tex]
This implies that Nikki scored 7 goals in total
The X number of goals is then calculated as:
[tex]X = N + E[/tex]
[tex]X = 7 + 15[/tex]
[tex]X = 22[/tex]
What is the domain of f(x)=
10x1-(4)
?
Answer:
Domain:(−∞,∞),{x|x∈R}
Step-by-step explanation:
Dylan has a bank that sorts coins as they are dropped into it. A panel on the front displays the total number of coins inside as well as the total value of these coins. The panel shows 90 coins with a value of $17.55 inside of the bank. Dylan only collects dimes and quarters. Determine how many quarters and how many dimes Dylan has.
Answer: There are 57 quarters and 33 dimes.
Step-by-step explanation:
let x = Number of quarters
y= Number of dimes
As per given , we have
x+y = 90 (i)
0.25x+0.10y= 17.55 (ii)
Multiply 10 on both sides of (ii)
2.5x+y= 175.5 (iii)
Eliminate (i) from (iii) , we get
1.5x = 85.5
⇒ x= 57
Put value of x in (i) , we get
57+y=90
⇒ y= 90-57
⇒ y= 33
Hence, there are 57 quarters and 33 dimes.
Will is buying a house for $185,000. He is financing $165,000 and obtained a 30-year, fixed-rate mortgage with a 6.725% interest rate. How much are his monthly payments? (2 points)
=================================================
Work Shown:
L = 165000 = loan amount or amount financed
r = 0.06725 = annual interest rate in decimal form
i = r/12 = 0.06725/12 = 0.005604167
i = 0.005604167 = approximate monthly interest rate in decimal form
n = number of months = 30*12 = 360 months
P = unknown monthly payment
--------------
Apply the monthly payment formula
P = (L*i)/( 1-(1+i)^(-n) )
P = (165000*0.005604167)/(1-(1+0.005604167)^(-360))
P = 1067.44636311118
P = 1067.45
A car is traveling 60 miles per hour. How long will it take to travel 240 miles?
Answer:
4 hours
Step-by-step explanation:
240 / 60 = 4
PLEASE HELP ME I DONT UNDERSTAND
Answer:
[tex]d=4\sqrt{5}[/tex]
Step-by-step explanation:
Write down both endpoint coordinate points:
[tex](-5,-3)(-1,5)[/tex]
Use the distance formula:
[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2} \\\\(x_{1},y_{1})(x_{2},y_{2})[/tex]
Insert values:
[tex]d=\sqrt{(-1-(-5))^2+(5-(-3))^2} \\\\d=\sqrt{(-1+5)^2+(5+3)^2}[/tex]
Simplify parentheses:
[tex]d=\sqrt{(4)^2+(8)^2}[/tex]
Simplify exponents:
[tex]d=\sqrt{16+64}[/tex]
Add:
[tex]d=\sqrt{80}[/tex]
Find the square root. Find multiples of 80 that are perfect squares:
[tex]16*5=80\\\\\sqrt{16*5}\\\\\sqrt{16}*\sqrt{5} \\\\[/tex]
[tex]d=4\sqrt{5}\\\\d=8.94427190...[/tex]
:Done
Kira runs 7 miles in 60 minutes. At the same rate, how many miles would she run in 24 minutes.
Answer:
2.8 miles
Step-by-step explanation:
brian runs 7 miles in 60 minutes at the same rate how many miles would he run in 24 minutes?
(24/60)*7=2.8 miles
Solve algebraically for x:
3600 + 1.02x < 2000 + 1.04x
Answer:
Let's solve your inequality step-by-step.
3600+1.02x<2000+1.04x
Step 1: Simplify both sides of the inequality.
1.02x+3600<1.04x+2000
Step 2: Subtract 1.04x from both sides.
1.02x+3600−1.04x<1.04x+2000−1.04x
−0.02x+3600<2000
Step 3: Subtract 3600 from both sides.
−0.02x+3600−3600<2000−3600
−0.02x<−1600
Step 4: Divide both sides by -0.02.
−0.02x
−0.02
<
−1600
−0.02
x>80000
Step-by-step explanation:
You created new playlist, and 100 oi your friends listened to it and shared if they liked the new playlist or nat. Nadhii said the ratio of the number of people who liked the playlist ta the number of people who did nat like the playlist is 75:25. Dylan said that three people who liked the playlist, one person did not. Nadhii and Dylan agree? Prove your answer using the values of the ratios.
Answer:
Yes, Nadhii and Dylan agree
Step-by-step explanation:
You created a new playlist, and 100 of your friends listened to it and shared if they liked the new playlist or not. Nadhii said the ratio of the number of people who liked the playlist to the number of people who did not like the playlist is 75: 25. Dylan said that for every three people who liked the playlist, one person did not.
Do Nadhii and Dylan agree? Prove your answer using the values of the ratios.
Total number of friends who listened = 100
Nadhii said the ratio of the number of people who liked the playlist to the number of people who did not like the playlist is 75: 25.
Nadhii
Number of people who liked the playlist : Number of people who did not like the playlist
= 75 : 25
= 75 / 25
= 3/1
= 3 : 1
Dylan said that three people who liked the playlist, one person did not.
Number of people who liked the playlist : Number of people who did not like the playlist
= 3 : 1
Yes, Nadhii and Dylan agree
Determine if each ratios or rates are equivalent.
$12 for 3 paperback books, $28 for 7 paperback books.
Answer:
no these are not equivalent
Step-by-step explanation:
these aunt equivalent because 12+12 =24 and 3+3=6 not 7 or 28 so no ccx these are not equivalent
Can you help me please?
Answer:
Exponent - Division - Multiplication - Addition - Subtraction
How many solutions does this nonlinear system of equaTions have?
Answer:
There are five possible types of solutions to the system of nonlinear equations representing an ellipse and a circle
Step-by-step explanation:
P.S Can I have brainliest?
Answer:
Step-by-step explanation:
Depends on how many points on the graph
convert y+1= 6/11(x+11) to slope-intercept
Answer:
need more info
Step-by-step explanation:
plz comment so i know
Answer:
y = 6/11x + 5
Step-by-step explanation:
y + 1 = 6/11 (x + 11)
distribute 6/11
y + 1 = 6/11x + 6
- 1 - 1
y = 6/11x + 5
Hope this helps!!
Also, mark me brainliest thank you!!!
In case you don't know how click the crown at the bottom of this answer next to the comments button.
In 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87% per year. a) Find the exponential growth function. b) Estimate the population of the city in 2018. c) When will the population of the city be 8 million? d) Find the doubling time. a) The exponential growth function is P(t) nothing, where t is in terms of the number of years since 2012 and P(t) is the population in millions. (Type exponential notation with positive exponents. Do not simplify. Use integers or decimals for any numbers in the equation.)
Answer:
a) The exponential growth function
P(t) = 5,690,000(1.0287)^t
b) 6,742,868.7374 million
c) 12.04 years
d) 2439.0243902
Step-by-step explanation:
In 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87% per year.
The formula for exponential growth is given as:
P(t) = Po( 1 + r) ^t
Where P = Population size after time t
Po = Initial population size
r = Growth rate in percentage
t= time in years
a) Find the exponential growth function.
P(t) = Population size after time t
Po = Initial population size = 5.69 million
r = Growth rate in percentage = 2.87% = 0.0287
t= time in years
The Exponential growth function
P(t) = 5,690,000(1 + 0.0287)^t
P(t) = 5,690,000(1.0287)^t
b) Estimate the population of the city in 2018.
From 2012 to 2018 = 6 years
t = 6 years
Hence,
P(t) = Po( 1 + r) ^t
P(t) = 5,690,000(1 + 0.0287)^6
P(t) = 5,690,000(1.0287)^6
P(t) = 6,742,868.7374 million
c) When will the population of the city be 8 million?
P(t) = 8,000,000
P(t) = Po( 1 + r) ^t
P(t) = 5,690,000(1 + 0.0287)^t
8,000,000 = 5,690,000(1 + 0.0287)^t
8,000,000 = 5,690,000(1.0287)^t
Divide both sides by 5,690,000
8,000,00/5,690,000 = 5,690,000(1.0287)^t/5,690,000
= 1.4059753954 = 1.0287^t
Take logarithm of both sides
log 1.4059753954 = log 1.0287^t
Log 1.4059753954 =t Log 1.0287
t = Log 1.4059753954/Log 1.0287
t = 12.041740264
t = 12.04 years
d) Find the doubling time.
The formula is given as 70/Growth rate
= 70/0.0287
= 2439.0243902
Write a word description of the set.
{−6, −5, −4, −3, −2, −1}
Quadrilateral VWXY is a kite. Find the measure of angle W.
Answer:
88
Step-by-step explanation:
all the angles added up must equal 360 degrees add x and v and subtract with 360 and divide that by 2
what is the sum of
Answer:
C
Step-by-step explanation:
4 3/7 - 2 5/14 Can someone Please Please help me??
Answer:
29 over 14
Step-by-step explanation:
Does someone knows how to solve this. Step by step?
Completing the Square:
x^2-6x=15
Answer:
[tex]x_1=3+2\sqrt{6}[/tex]
[tex]x_2=3-2\sqrt{6}[/tex]
Step-by-step explanation
[tex]\rule{100mm}{0.5mm}[/tex]
[tex]x^2-6x=15[/tex]
[tex]x^2-6x+\left(\dfrac{6}{2}\right)^2-\left(\dfrac{6}{2}\right)^2=15[/tex]
[tex]x^2-6x+3^2=15+3^2[/tex]
[tex]x^2-6x+9=15+9[/tex]
[tex](x-3)^2=24[/tex]
[tex]\sqrt{(x-3)^2} =\sqrt{24}[/tex]
[tex]x-3=\pm2\sqrt{6}[/tex]
[tex]\red{\boxed{x_1=3+2\sqrt{6}}}[/tex]
[tex]\red{\boxed{x_2=3-2\sqrt{6}}}[/tex]
[tex]\rule {100mm}{0.5mm}[/tex]
moving company rents moving trucks for $20 plus $0.19 per mile. Suppose a customer’s total bill for renting a truck comes to $34.06. How many miles did the customer drive? Write an equation and explain how you used it to find your answer.
Answer:
34.06=20+0.19m
Step-by-step explanation:
The 20 dollars is a one-time thing so we don't need a variable for that. The 0.19 per mile does because the cost will depend on how many miles you drove (I used the variable 'm' but you could use a different letter). Altogether the bill costs 34.06 so that will go on the opposite side of our equal side.
34.06=20+0.19m
First we need to isolate 0.19m to find the number of miles the customer drove, and we can do that by subtracting 20 on each side.
34.06-20=20-20+0.19m
14.06=0.19m
Now we divide 0.19 because 0.19 is multiplied to m and division is the opposite operation
m=74
This means that the customer drove 74 miles.