Answer:
C(t)=3000(1.002417)^12t+960t
if T=1 year then the saving will be : 4048.17
Step-by-step explanation:
3000 deposit amount, 2.9 compound monthly interest . save 80 dollars per month at home .
A=p(1+r)^t
A=3000(1+0.029/12)^12t
A=3000(1.002417)^12t dollars
for the amount saved at home=80*12t=960t dollars
C(t)=3000(1.002417)^12t+960t
if T=1 year then the saving will be :
C(t)=3000(1.002417)^12t+960t
=3088.17+960= 4048.17 dollars
Renji owes his parents $204. He pays them back $8.50 every week. How many payments will it take until Renji has paid his parents back fully?
Answer:
24 payments.
Step-by-step explanation:
$204 divided by $8.50 = 24
Write a unit rate that compares the quantities described.
180 people on 3 planes.
Answer:
Hey there!
The correct answer is 60 people on one plane.
Hope this helps :)
Answer: 60:1
Step-by-step explanation: it asks for a unit rate I'm not trying to catch beef but the above is half answered thank you for your time.
Find the distance between the points (7,-3)and (-5,-3)
Answer:
12
Step-by-step explanation:
Since we have to find the distance, look at each point. The Y-values of both points are the same, so we don't have to take that into consideration. Then, take the absolute value of an X-value subtracted from another X-value. This will lead you to get 12. We never get a negative number, since distance is a scalar value, one that does not include direction, which means no negative values in numerical terms.
The distance between two points (7,-3)and (-5,-3) is 12.16 units.
What is Distance?The length along a line or line segment between two points on the line or line segment.
Distance=√(x₂-x₁)²+(y₂-y₁)²
The distance between the points (7,-3)and (-5,-3)
x₁=7, y₁=-5,x₂=-5 and y₂=-3
Now plug in these values in the distance formula
Distance=√(-5-7)²+(-3+5)²
=√(-12)²+(2)²
=√144+4
=√148=12.16
Hence, the distance between two points (7,-3)and (-5,-3) is 12.16 units.
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Simplify using order of operations: 10/2+3+6+3/3
Answer:
15
Step-by-step explanation:
10/2 + 3 + 6 + 3/3
= 5 + 3 + 6 + 1
= 15
15 is the answer.
which is the net for the figure shown
1. A={all even integers) under multiplication?
2. B={all positive even integers) under averaging?
3. C=fall odd integers) under addition?
4.D={all odd integers) under multiplication?
5. E=fall prime natural numbers) under addition?
6. F={all composite integers) under addition?
7. G={all composite integers) under multiplication?
Answer and Step-by-step explanation:
1-A= {all even integers} under multiplication?:
Sol: The set of positive integers under multiplication would not form because this set does not contain inverses. And no identity exists in this set. And in the case of negative even integers under multiplication, when we multiply a negative number to another negative number it becomes a positive even integer.
2-B= {all positive even integers} under averaging?:
The average of the integers from 1 to n is (n+1)/2.
Because there is only even numbers so, the formula has to doubled, this formula is used for sequences that increase by 1. So n(n+1)
There are only 1009 even integers between 2 to 2018.
2+2018=2020 and 2020/2=1010
3-C= {all odd integers} under addition:
Sol: the set of odd integers under addition does not form a set because the set of odd integers is not a closed set. Because addition of two odd numbers gives us an even number. And the other reason is that the identity element does not exist in this set. Identity for addition is zero (0) which is an even number.
4-D= {all odd integers} under multiplication:
Sol: The set of odd integers say F is not a group under multiplication (.) because the inverse of odd integers does not exist. For example an element m is belonging to odd integer group say F. its inverse (1/m) does not exist in this set. Sometimes it does not have identity.
5- E= {all prime natural numbers) under addition:
Sol: All prime natural numbers are not set under addition because when we add two prime numbers we will not get always a prime number. For example 7+3= 10
7 and 3 are prime numbers but 10 is not a prime number.
6-F= {all composite integers} under addition:
Sol: no, not all composite number under addition form a set because when we add two composite number 15 + 14 = 29, 29 is a prime number.
7-G= {all composite integers} under multiplication:
Sol: yes all composite integers form a set under multiplication because when we multiply any integer to another integer it gives composite numbers. When we multiply prime numbers it gives a composite number.
point A B and C are collinear on AC and AB:BC = 3/4. A is located at (x,y), B is located at (4,1) and C is located at (12,5). what are the values of x and y?
Answer:
x = -2 and y = -2Step-by-step explanation:
The expression for calculating the point that divides the coordinate of two endpoints A(x, y) and B (x₁, y₁) in the ratio a:b with point C(X, Y) on the line is as shown below;
[tex]B[/tex][tex](X, Y) =[/tex] [tex](\dfrac{ax_1+bx}{b+a}, \dfrac{ay_1+by}{b+a})[/tex]
Given B(X, Y) = (4, 1), C(x₁, y₁) = (12,5) and AB:BC = a:b = 3/4
From the given coordinates, X = 4, Y = 1, x₁ = 12 y₁ = 5, a = 3 and b =4
From the coordinates above;
[tex]X = \dfrac{ax_1+bx}{b+a}[/tex]
[tex]4 = \dfrac{3(12)+4x}{4+3}\\\\4 = \dfrac{36+4x}{7}\\\\\\4*7 = 36+4x\\28 = 36+4x\\28-36 = 4x\\-8 = 4x\\x = -8/4\\x= -2[/tex]
Similarly to get y;
[tex]1 = \dfrac{3(5)+4y}{4+3}\\\\1 = \dfrac{15+4y}{7}\\\\\\1*7 = 15+4y\\7 = 15+4y\\7-15 = 4y\\-8 = 4y\\y= -8/4\\y= -2[/tex]
Hence the value of x is -2 and y is -2.
Simplify 4 (3 -- 4x
Answer:
12-16x
Step-by-step explanation:
4(3-4x)
12-16x
The expression 4 (3 - 4x) is simplified as 12 - 16x.
What is simplification?Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
It is also known as the product. If the object n is given to m times then we just simply multiply them.
The expression is given below.
⇒ 4 (3 - 4x)
Simplify the expression, then the expression will be
⇒ 4 (3 - 4x)
⇒ 4 · 3 - 4 · 4x
⇒ 12 - 16x
The expression 4 (3 - 4x) is simplified as 12 - 16x.
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Please help with this I still do not know what I am doing
Answer:
See Below
Step-by-step explanation:
150 = p + 78 ------ you want to get the p to one side and the other number the the other side of the =
(78 - 150) = p (78 - 78) ---- what ever you do to one side you do to the other
72 = p
s - 51 = 12 (same thing as above)
s (-51 + 51) = 12 + 51
s = 63
65 = blank + 7 ( you can put a letter like x or y because they number is not determined yet)
65 = x + 7 (same as above)
( 7 - 65 ) = x ( 7 - 7 )
58 = x
The radius of a circle is 3 meters. What is the circle's circumference?
r=3 m
Use 3.14 for .
View an Example Mulder and Scully are driving to the same town. Mulder leaves the office at :30 a.m. averaging mph. Scully leaves at :00 a.m., following the same path and averaging mph. At what time will Scully catch up with Mulder?
Complete question :
Mulder and Scully are driving to the same town. Mulder leaves the office at 9:30 a.m. averaging 51 mph. Scully leaves at 10:00 a.m., following the same path and averaging 57 mph. At what time will Scully catch up with Mulder?
Answer:
2:15 p.m
Step-by-step explanation:
Given the following :
Mulder :
Speed = 51mph
Time he left office = 9:30 a.m
Scully :
Speed = 57mph
Time she left office = 10:00 a.m
Time difference = (10:00 - 9:30)a.m = 30 minutes = half an hour = 0.5 hour
Let Scully's travel time when she catches up = s
Therefore, Mulder's time at the same moment = (s + 0.5)
Recall:
distance = speed × time
Hence,
Scully's distance : 57 * s = 57s
Mulder's distance : 51 * (s + 0.5)
Equating both :
57s = 51(s + 0.5)
57s = 51s + 25.5
57s - 51s = 25.5
6s = 25.5
s = 25.5 / 6
s = 4.25 hours
Hence scully will catch up with Mulder after 4.25 hours
10:00am + 4.25 hours = 2:15p.m
Caleb solved this equation and recorded his work. 7.4x + 4.1(2x − 4) = −2.3(x − 6) − 21.6 1. 7.4x + 8.2x − 16.4 = −2.3x + 13.8 − 21.6 2. 15.6x − 16.4 = −2.3x + 35.4 3. 17.9x − 16.4 = 35.4 4. 17.9x = 51.8 5. X ≈ 2.89 When Caleb verified his solution, it didn't work. What mistake did he make? In step 1, the distributive property was not used properly on the right side of the equation. In step 2, the like terms were not combined properly on the right side of the equation. In step 3, the addition property of equality was not used properly to isolate the variable term. In step 5, the division property of equality was not used properly to solve for x.
Answer:
Option B.
Step-by-step explanation:
The given equations is
[tex]7.4x+4.1(2x-4)=-2.3(x-6)-21.6[/tex]
The correct steps to solve the above equation are
1. Using distributive property, we get
[tex]7.4x+8.2x-16.4=-2.3x+13.8-21.6[/tex]
2. Combining like terms, we get
[tex]15.6x-16.4=-2.3x-7.8[/tex]
3. Using addition property of equality, add 2.3x on both sides.
[tex]17.9x-16.4=-7.8[/tex]
4. Using addition property of equality, add 16.4 on both sides.
[tex]17.9x=8.6[/tex]
5. Using division property of equality, divide both sides by 17.9.
[tex]x\approx 0.48[/tex]
In step 2, the like terms were not combined properly on the right side of the equation.
[tex]13.8-21.6=-7.8\neq 35.4[/tex]
Therefore, the correct option is B.
Answer:
The correct answer is b. In step 2, the like terms were not combined properly on the right side of the equation.
Hudson is driving on a long road trip. He currently has 13 gallons of gas in his car.
Each hour that he drives, his car uses up 1 gallon of gas. How much gas would be in
the tank after driving for 2 hours? How much gas would be left after t hours?
Gas left after 2 hrs
Gas left after t hours
Answer:
There would be 11 gallons of gas left!
Step-by-step explanation:
Answer:
after 2 hours = 11
Step-by-step explanation
what do you mean by t?
The perimeter of the square below is 28.4 cm
3.6x - 1.9
what is the value of X?
find the side length of the square_________cm
(3.6x - 1.9)4 = 28.4
3.6x - 1.9 = 7.1
3.6x = 7.1 + 1.9
3.6x = 9
x = 9 / 3.6
x = 2.5 (value of x)
3.6(2.5) - 1.9 = 7.1 (side length)
you want to multiply it by 4 because right now its only showing one side. perimeter is all 4 sides combined
What’s the value of f(5)?
Answer:
f(5) = 25
Step-by-step explanation:
f(x) = 3x + 10
f(5) = 3(5) + 10
f(5) = 15 + 10
f(5) = 25
Answer:
f(5) = 25
Step-by-step explanation:
f(x) = 3x + 10
Let x = 5
f(5) = 3*5+10
= 15+10
= 25
Or the past 100 years, the average high temperature on october 1 is 78° with a standard deviation of 5°. what is the probability that the high temperature on october 1 of next year will be between 73° and 83°?
Answer:
The probability is 0.683
Step-by-step explanation:
To calculate this, we shall be needing to calculate the z-scores of both temperatures
mathematically;
z-score = (x-mean)/SD
From the question mean = 78 and SD = 5
For 73
z-score = (73-78)/5 = -5/5 = -1
For 83
z-score = (83-78)/5 = 5/5 = 1
So the probability we want to calculate is within the following range of z-scores;
P(-1 <z <1 )
Mathematically, this is same as ;
P(z<1) - P(z<-1)
Using the normal distribution table;
P(-1<z<1) = 0.68269 which is approximately 0.683
Jane drew a point A located at (-2,-3) and point C located at (8,-3). What is the x-coordinate of point B that bisects? AC
Answer:
x equals 3
(-2, -3) and (8, -3) the middle of the x coordinate is 3
The difference of two numbers is 28. If one number is 11, find the other number
Answer:
39
Step-by-step explanation:
28 + 11 = x
39 = x
Check your answer:
39 - 11 = 28
28 = 28
Answer:
28 this is because it's the expression of salad
Azmol is paid £1500 per month. He is going to get a 3% increase in the amount of money he is paid. Work out how much money Azmol will be paid per month after the increase.
Answer:
So if he's paid £1500 and he's getting an increase of 3%, we only need to calculate the 3% of 1500 and then add it what he's paid now (£1500)
To calculate the x% of a number, we multiply the number by [tex]\frac{x}{100}[/tex]%.
So, if we want to calculate the 3%, we need to multiply by [tex]\frac{3}{100}[/tex]%, by 0.03:
1500 * 0.03 = £45
So now, we know he'll be paid £45 more than the last month, so we sum what he got before (£1500) plus those £45.
1500 + 45 = £1545
What are the
coordinates of the
midpoint of XY with
endpoints X(-2,-6) and
Y(3,10)? (9,-6)
Answer:
Step-by-step explanation:
(-2+3)/2 = 1/2
(10 + (-6))/2 = 4/2 = 2
(0.5, 2) are the coordinates of midpoint XY
if DF = 61 and EF = 18, find DE
The measure of length DE if DF = 61 and EF = 18 is 43
From the question, we are given the following measurement:
DF = 61
EF = 18
Required:
DE
Using the expression to find the measure of DE
DE + EF = DF
Substitute the given values
DE + 18 = 61
Subtract 18 from both sides
DE + 18 - 18 = 61 - 18
DE = 43
Hence the measure of DE is 43
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(02.01)Line segment EF has a length of 5 units. It is translated 5 units to the right on a coordinate plane to obtain line segment E'F'. What is the length of E'F'?
5 units
6 units
10 units
25 units
The line segments are translated 2 units to the left to form J'K' and M'N'. Which statement describes J'K' and M'N'?
Line segments J'K' and M'N' do not intersect and are closer together than JK and MN.
Line segments J'K' and M'N' intersect at (−2, 0) and are two times farther apart than JK and MN.
Line segments J'K' and M'N' intersect at (0, −2) and are two times closer together than JK and MN.
Line segments J'K' and M'N' do not intersect and are the same distance apart as JK and MN.
Answer:
The answer is "Option a and Option d".
Step-by-step explanation:
In the given-question, the numbering of the choices was missing so, we define the number after that we define its explanation:
In question 1, the translations were only the axis, which moves in the length of a segment, that doesn't change. Even so, the graph shifts only by growth, that's why the E'F 'duration will be the same as the EF length, which equals to "5 units".
In question 2, both JK and MN shifts to the left two units, and there would be no difference throughout the space between them, that's why the choice "d" will be correct.
?????? help pls lolll
Answer is -9
Multiplying by 1/4 is the same as dividing by 4
-36(1/4) = -36/4 = -9
Please solve this for me
I’m dumb I know please do it
No wrong answer or Bots or else I’ll report
Answer:
Step-by-step explanation:
1a. 7000m 1b. 10mm
2a. 1000cm 2b. 2m
3a. 6km 3b. 3km
4a. 2km 4b. 9m
5a. 6cm 5b. 7m
6a. 9cm 6b. 9km
7a. 4km 7b. 5km
8a. 8km 8b. 30mm
9a. 70mm 9b. 3m
10a. 2cm 10b. 10cm
Answer:
1a: 7,000 m 1b: 10 mm
2a: 1,000 km 2b: 2 m
3a: 6 km 3b: 3 km
4a: 2 km 4b: 9 m
5a: 6 cm 5b: 7 m
6a: 9 cm 6b: 9 km
7a: 4 km 7b: 5 km
8a: 8 km 8b: 30 mm
9a: 70 mm 9b: 3 m
10a: 2 cm 10b: 10 cm
Hope I helped!
Container a has a maximum capacity of 3 gallons. Container B has a maximum capcity of 14 quarts. How much extra capacity does container B compared to container A
Answer: 0.5 gallon
Step-by-step explanation:
From the question, we are informed that Container a has a maximum capacity of 3 gallons. Container B has a maximum capcity of 14 quarts.
It should be noted that 4 quarts equals 1 gallon. Therefore, 14 quarts = 14/4 = 3.5 gallons
Container A = 3 gallons
Container B = 3.5 gallons
The difference will be:
= 3.5 gallons - 3 gallons
= 0.5 gallon
1. Pick a sport and name two categorical variables and two numerical variables
Answer:
Football
Categorical variables:
Type of game= Ball game
Governing body= Federation Internacionale de Football Association (FIFA)
Numerical Variables
Number of players in each team= 11
Number of teams involved= 2
Step-by-step explanation:
A categorical variable is data about a subject that tells its category, type or description. It answers the what, when, why, which, and where questions. The game of football is categorized as a ball game and the governing body that supervises it is FIFA. This answers the question of 'Which governing body supervises the game of football?
Numerical variables give details of a subject in terms of figures, or measurements. To answer the question of how many people play the game of football in each team, we state that there are 11 players and the number of teams that can play at the same time is 2.
A = a+b+c/3 Solve for b this is a literal equation problem please show steps
Answer:
[tex]b=3A-a-c[/tex]
Step-by-step explanation:
[tex]$A=\frac{a+b+c}{3} $[/tex]
Multiply both sides by 3
[tex]$3A=a+b+c $[/tex]
Add [tex]-b-c[/tex] both sides
[tex]3A-a-c=b[/tex]
[tex]b=3A-a-c[/tex]
guys i need help ASAP
Answer:
Your answer would be the third set
Step-by-step explanation:
Find the value of m.
A. 63
B.50
C.32
D.74
Answer:
A
Step-by-step explanation:
Fourteen more than three times a number is the
same as ten less than six times the number. Write
an equation for this situation and then find the
number.
Answer:
14+3*x = 10-6*x
Step-by-step explanation:fourteen more means 14+ 3 times a number means 3 multiplied by a number x is the number of your choice and 10 less means 10 - and 6 times the number means 6*x