Answer:
$3,000 was invested in the account that gained 13%
$17,500 was invested in the account that lost 10%
Step-by-step explanation:
Let the amount in both accounts be x and y
x for the first and y for the second
Adding both is 20,500
x + y = 20,500 •••••(i)
First account earned 13% profit
= 13/100 * x = 0.13x
Second account, a loss of 10%
= -10/100 * y = -0.1y
Total loss of -1,360
This is;
-0.1y + 0.13x = -1,360 •••••••(ii)
From i, x = 20,500-y
Insert this into ii
-0.1y + 0.13(20,500-y) = -1,360
-0.1y + 2665 -0.13y = -1360
-0.23y = -1360-2665
-0.23y = -4025
y = -4025/-0.23
y = 17,500
To get x, we have
x = 20,500 -y
x = 20,500- 17,500
x = 3,000
The radius of a circle is 3 centimeters.
Enter the circumference of the circle, in centimeters. Round your answer to the nearest hundredth.
Use 3.14 for π .
Answer:
28.26 cm for circumference
Step-by-step explanation:
we know radius
Circumference formula is
Pi*diameter
we double radius for diameter
which is 6
now for that 6 we multiply that by 3.14
and your final answer is 28.26
Simplify the expression:
-4k + -6 + -4 + -7
Answer:
-4k=4000
-4000-6-4-7=4017
because (+)+(-)= -
Express 7 as a fraction of 28.
Give your answer in its simplest form.
Answer:196/28 = 7
Step-by-step explanation:
Answer: 196/28 = 7
I hope this helps, and Happy Holidays! :)
Can someone help me?
Answer: man ion know anything abt that hru
Step-by-step explanation:
can someone answer this please
Answer:
The coordinates of point P are (1, -1)
Step-by-step explanation:
If the point (x, y) reflected about the x-axis, then its image is (x, -y)To find the image of a point reflected about the x-axis change the sign of its y-coordinateThe rule is R x-axis → (x, -y)If the point (x, y) reflected about the y-axis, then its image is (-x, y)To find the image of a point reflected about the y-axis change the sign of its x-coordinateThe rule is R y-axis → (-x, y)→ Assume that the coordinates of point P are (x, y)
∵ The coordinates of point P are (x, y)
∵ The rule of the reflection is R y-axis (P)
∴ Its image = (-x, y)
∵ The image = (-1, -1)
→ Equate the two images
∴ (-x, y) = (-1, -1)
∴ -x = -1
→ Divide both sides by -1
∴ x = 1
∵ y = -1
∴ The coordinates of point P are (1, -1)
Use the triangle angle-sum theorem and other angle relationships to find the missing angle measures
My teacher showed me this riddle can anyone help???
Answer:
12/36
12/15
16/28
25/45
Step-by-step explanation:
.24 of the jackets for sale at a clothing store are blue. If this represents 15% of all jackets in the
store, how many jackets are not blue
Answer:
165 jackets or 85%
Step-by-step explanation:
83 Tee (CsT Sequences and Functions
Question 29 of 25
Decide whether the data in the table represent a linear function or an
exponential function Explain how you know.
A
4
2
3
14
-23
32
OAThe data represent an exponential function because there is a
OB. The data represent a linear function because there is a common
OC. The data represent an exponential function because there is a
Common ratio of 4.
difference of 9.
Common ratio of -
5
OD. The data represent a linear function because there is a common
difference of -9.
Answer:
The common difference is same = d = -9
Therefore, the data represent a linear function.
Step-by-step explanation:
Given the table
x y
1 4
2 -5
3 -14
4 -23
5 -32
Finding the common difference between all the adjacent terms of y-values
d = -5 - 4 = -6,
d = -14 - (-5) = -14+5 = -9
d = -23 - (-14) = -23 + 14 = -9
d = -32 - (-23) = -32 + 23 = -9
It is clear that the common difference between all the adjacent terms is same.
Thus,
d = -9
We know that when y varies directly with x, the function is a linear function.
Here, it is clear that each x value varies 1 unit, and each y value varies -9 units.
i.e. The common difference is same = d = -9
Therefore, the data represent a linear function.
find the values of x and y
Answer:
2700
Step-by-step explanation:
base times height
45 time 60 = 2700
A train is traveling at a constant speed and goes a distance of 7 1/2 kilometers in 6 minutes the train will continue at this speed the train will travel a distance of d kilometers in m minutes write an equation that represents the relationship between d and m
Answer:
392939939393939399393939393
Step-by-step explanation:
An equation that represents the relationship between d and m can be written as d = 1.25 m.
What is Speed?Speed of an object is the rate of change of position of an object in any direction.
Speed is a scalar quantity because it does not have any direction, it only has magnitude. Speed with direction is called velocity.
The formula for calculating speed is,
Speed = Distance / Time
Given distance the train travelled = 7 [tex]\frac{1}{2}[/tex] kilometers
= 15/2 kilometers
= 7.5 kilometers
Time taken to travel the distance = 6 minutes
Speed = 7.5 / 6
= 1.25 kilometers / minute
Given that speed of the train is constant.
Hence for any distance 'd' kilometers in 'm' minutes,
d / m = 1.25
d = 1.25m
Hence d and m can be related by the equation d = 1.25m.
To learn more about Speed, click on the link given below :
https://brainly.com/question/28224010
#SPJ5
Which expressions equal zero?
A) -52 + 52
B) 12 +(-1
C) 6-(-6)
D) -27 +(-27)
E) -83 -(-83)
Answer:
A,B,E
Step-by-step explanation:
I checked on the usa test prep and its what those three
The options satisfying expressions that result to zero are,
A. - 52 + 52.
E. - 83 - ( - 83).
What are additive and multiplicative inverses?A number's additive inverse is a number that is added to it until the result is zero.
A number multiplied by another such that the result is 1 is the multiplicative inverse of that number.
A number added to it's additive inverse results to zero.
From the given options the only options that satisfies the result to be zero
are,
- 52 + 52.
- 83 - (- 83).
= - 83 + 83.
As the negative signs distribute to make it a positive number.
learn more about additive and multiplicative inverses here :
https://brainly.com/question/13715269
#SPJ2
Which equations have the same value of x as Two-thirds (6 x + 12) = negative 24? Select two options.
4 x + 8 = negative 24
9 x + 18 = negative 24
4 x = negative 16
18 x + 36 over 2 = negative 24
4 x = negative 32
Answer:
4x+8=-24 and
4x=-32
Step-by-step explanation:
2/3(6x+12)=-24
or,12x+24=-72
or,x=-72-24/12
•°•x=-8
4x+8=-24
or,x=-24-8/4
•°•x=-8
4x=-32
or,x=-32/4
•°•x=-8
Answer:
the guys above me is correct
Step-by-step explanation:
4x+8=-24 and
4x=-32
How many feet are in 2.5 miles if there are 1,760 yards in one mile (1 yd = 3 ft)
A. 587
B. 13,200
C. 5,280
Answer:
1760 yards
1 mile = 1760 yards. The symbol is "mi".
Step-by-step explanation:
3.54, -6.433, -0.04, -0.55, -0.76
Answer:
-6.433,-0.76,-0.55,-0.04,3.54
Step-by-step explanation:
hope this helps
9.
30% of the members of a club are female and 20%
of these females own cars. 30 female members in
the club own cars.
PROBLEM
SOLVING
(a) How many female members are there?
(b) What is the total number of members?
(c) What percentage of the club members are
females who own cars?
My teacher wants me to do 6.15÷31 in estimate but I don't get it
Problem: 6:15÷31 Estimate
I would say I guess it is about around 0.198387.
URGENT‼
The Utica Boilermaker is a 15-kilometer road race. Sara is signed up to run this race and has done the following training runs:
I. 10 yards
II. 44,880 feet
III. 15,560 yards
Which run(s) are at least 15 kilometers?
Option A: I, only
Option B: II, only
Option C: I and III
Option D: II and III
The values of following are 10 yards = 0.009144 km, 44,880 feet = 13.678, 15,560 yards = 14.228
What is kilometer ?"The kilometer spelt kilometer in American English, is a unit of length in the metric system, equal to one thousand meters (kilo- being the SI prefix for 1000). It is now the measurement unit used for expressing distances between geographical places on land in most of the world; notable exceptions are the United States and the United Kingdom where the statute mile is the unit used."
Given,
(i) 10 yards
1 yard = 0.0009144
then 10 yard = 10*0.0009144 = 0.009144 km
(ii) 44,880 feet
1 feet = 0.00030478
then 44,880 feet = 44,880*0.00030478 = 13.678 km
(iii) 15,560 yards
15,560 yards = 15,560 *0.0009144 = 14.228 km
Hence, D is the correct option.
To know more about kilometer here
https://brainly.com/question/9135515
#SPJ2
A professional hockey team has 15 wingers. 5 of these wingers are 30-goal scorers. Every fall the team plays an exhibition game with the club’s farm team. In order to make the match more interesting for the fans, the coaches agree to select two wingers at random from the pro team to play for the farm team. What is the probability that two of the 30-goal scorers are selected to play for the farm team?
Answer:
Step-by-step explanation:
Last year, Jina opened an investment account with $8200. At the end of the year, the amount in the account had decreased by 6.5% How much is this
decrease in dollars? How much money was in her account at the end of last year?
HELP ——
Answer:
$250.69 maybe?
Step-by-step explanation:
The price of a computer component is decreasing at a rate of 10% per year. State whether this decrease is linear or exponential. If the component costs $ 110 today, what will it cost in three years?
Answer:
The cost in 3 years is $80.19.
Step-by-step explanation:
The cost of computer component is $110 today.
The cost is decreasing at a rate of 10% per year.
When it decreases by 10% per year then it is exponential.
Initial cost is $110. When it decreases 10% per year, the decay factor is 1-0.10 =0.90.
So, we could use the exponential formula y=[tex]ab^{x}[/tex]
Where 'a' is initial cost and b is decay factor.
Our equation would by plug in 'a' as 110 and 'b' as 0.90.
We get
[tex]y= 110(0.9)^{x}[/tex]
Now, to find the cost in 3 years, use x as 3.
[tex]y=110(0.9)^{3}[/tex]
Which is simplified to
y=$80.19
I’m pretty sure I have the right answer but if you answer I will give brainiest
Answer:
your answer would actually be B
Step-by-step explanation:
Answer:
The right answer is choices B.
Step-by-step explanation:
I hope this helps
The sum of a number a and negative 12 is 6. Write the equation.
What is the equation in point-slope form of the line that passes through the point (4,8) and has a slope of 14?
A. Y+8=1/4(x-4)
B. Y-4=1/4(x+8)
C. Y-8=1/4(x+4)
D. Y+4=1/4(x-8)
Answer:
The answer is A
Step-by-step explanation:
volume of 11ft, 10ft, 22ft, 7ft, 4ft, and 10ft
Answer:
i really dont get what u want
Step-by-step explanation:
what did Tyler do wrong pls help me
Answer:
he did nothing wrong
Step-by-step explanation:
PLZZ HELPP IM FAILLING
What number could be a common denominator for these three fractions?
1/2 and 1/3 and 1/4
Answer:
12 would be a common denominator
Step-by-step explanation:
2 4 6 8 10 (12)
3 6 9 (12)
4 8 (12)
Help me i really need help please
Answer:
16.4%
Step-by-step explanation:
$1665=100%
$53.40=?
53.40×100÷1665
=16.4%
A company's profits for a week are as follows:
Monday: +$32.65, Tuesday: -$75.32,
Wednesday: -$125.75, Thursday: +$100.89,
and Friday: +$65.30. Does the company show
a gain or loss at the end of the week?
Answer:
Loss
Step-by-step explanation:
If you add all the numbers up you get -2.23 which would be a loss
Answer:
The company shows loss
Step-by-step explanation:
32.65 - 75.32= -42.67 so they're already at a loss
you would add -125.75 and -42.67 and woud get -168.42
Then you would add 100.89 and 65.30 and you would get 166.19
166.19+(-168.42)=-2.23
LAST QUESTION AND HURRY IM BEING TIMED Last year, the enrollment at Highland Middle School was 800 students. This year, the enrollment dropped to 700 students due to the opening of a new middle school. Which best reflects the percent change in enrollment at Highland Middle School from last year to this year?
Answer:
-12.5
Step-by-step explanation: