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[tex]y = 2x + 3[/tex]
[tex]y = - \frac{1}{2} x - 3 \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
On January 1, 2010, Joline deposits $1000 in a bank account that does not earn interest. For the next 12 months she deposits $25 each month. Then she withdraws $25 each month for the next 12 months. On January 1, 2010, Sofia deposits $1100 in an account that earns 0.25% interest each month.
a. Write two models: one for the amount in Joline's account and one for the amount in Sophia's account. State what the variables in your models represent.
b. In what months and years do the accounts have approximately the same amount, and what are the amounts?
Answer:
$1000 + $25m and $1300 - 25m ;
1100 + 2.75m
2010 (4th month)
2011 ( 7th month)
Step-by-step explanation:
Joline's account :
Initial deposit = $1000
Monthly deposit = $25
Monthly withdrawal = $25
Number of months = 12
Let m = number of month at any point in time
Initial deposit + total deposit
Amount in Joline's account ; first 12 months
$1000 + $25m - - - (1)
Next 12 months :
$1000 + $25 *12 - 25m
1300 - 25m
Sofia's account :
Deposit amount = $1100
Interest per month = 0.25% = 0.0025
1100 + (1100 * 0.0025 * m)
1100 + 2.75m - - (2)
To find the month:
Equate equation 1 and 2, then find m
$1000 + $25m = 1100 + (1100*0.0025*m)
1000 + 25m = 1100 + 2.75m
25m - 2.75m = 1100 - 1000
22.25m = 100
m = 100 / 22.25
m = 4.494
In year 2010, they have approximately the same amount in the fourth month
1300 - 25m = 1100 + 2.75m
1300 - 1100 = 2.75m + 25m
200 = 27.75m
m = 200 / 27.75
m = 7.207
In 2011 ; they have approximately the se amount in the 7th month
Karen has 560 friends and family on social media of the friends, 50% are from high school, and 30% are from her after school job. The rest are family
members
How many family members does Karen know on social media?
Answer: 112
Step-by-step explanation:
560/5
The sum of three consecutive integers is 108. What are the integers
Answer:
35, 36, and 37
Step-by-step explanation:
We know our answer is correct because 35 + 36 + 37 equals 108.
Answer:
35,36,and 37
Step-by-step explanation:
24,29,32 a acute, right, abtuse
Answer:
All are acute
Step-by-step explanation:
Acute angles are any angles that are less than 90°.
Right angles are angles that measure 90°.
Obtuse angles are angles that are more than 90°.
As we can see, 24, 29, and 32 are all less than 90°, making them all acute.
Best of Luck!
A survey was conducted to see how many people ride a bus to school everyday 160 people reported that they ride the bus school everyday this number represents 80%of the people surveyed how many were surveyed
Answer:
200 people
Step-by-step explanation:
Abhasra and her best friend found some money in an envelope. They split the money evenly, each getting $5.03. How much money did they find?
Answer:
$10.06
Step-by-step explanation:
Since there are 2 people, multiply the amount they each get by 2.
5.03 times 2=10.06
Final answer 10.06
Hope this helps:)
11,880 yd = How many Miles?
Answer:
0.00675
Step-by-step explanation:
0.00675 rounded miles
PLEASE HELP!!!!
Write a function g whose graph represents a reflection in the y-axis of the graph of f(x)=−3+|x−11|.
A function assigns the value of each element of one set to the other specific element of another set. The function g(x) which is reflection of f(x) will be g(x)=−3+|x+11|.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The given function g whose graph represents a reflection in the y-axis of the graph of f(x)=−3+|x−11| will be g(x)=−3+|x+11|. This is because if the function is reflected on the y-axis then the result of the reflected function will be the same but the result will be 11 units late, 11 units because it is the critical point of the absolute value.
Hence, the function g(x) which is refelction of f(x) will be g(x)=−3+|x+11|.
Learn more about Function here:
https://brainly.com/question/5245372
#SPJ1
Find the value of the variable (simplify your answer)
Answer:
y=70.71
Step-by-step explanation:
Refer to the picture that given
Answer:
70.71
EXPLANATION
sin45° =50/y
This implies y=50/sin45
7th Grade Math
Please help
-7 = 1/3 a
Find the value of a
Answer:
[tex]\huge\boxed{a=-21}[/tex]
Step-by-step explanation:
[tex]-7=\dfrac{1}{3}a\to\dfrac{1}{3}a=-7\qquad|\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup\cdot\dfrac{1}{3\!\!\!\!\diagup}a=(-7)(3)\\\\a=-21[/tex]
The line passing through which two points is parallel to the line x - 2y = 16?
I need help anyone fast please
Which inequality is true?
A. I +9< 12
B. 57 > 15
C.
6
27
:> 1
D. 41 - 2 < 10
i need help please
Answer:
B
Step-by-step explanation:
Answer:
thx for 5 points
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!
Answer:
x is also 63 degrees this is because vertical angles are congruent or like equal in measure
Step-by-step explanation:
HOPE THIS HELPEDDDD
Answer:
63 degrees
Step-by-step explanation:
Since m is parallel to n, the angle that is marked 63 degrees and x are alternate interior angles. The alternate interior angle theorem states that alternate interior angles are congruent when a line cuts through two parallel lines. So, since m and n are parallel, these are congruent angles, making x also 63 degrees.
Identify the domain of the rational function g(x)= 1/x-3
Answer:
Domain: (negative infinite, zero) U (0, infinite)
Range: ( negative infinite, -3) U (-3, infinite)
Step-by-step explanation:
I don't really know how to explain this because I can't use some symbols that are needed. But, yeah.
Estimate the product 0.62 x 104
Answer:
The estimated product is 52.
Step-by-step explanation:
0.62 is 0.38 away from one and 0.12 away from 0.5. Since it's closer to 0.5, we'll round it to that. 104 doesn't need to be rounded because it's a whole number. So, 1/2 of 104 is 52. The estimated product is 52
Hope this helps! :)
Nate is saving money for the class trip to Chicago. He already has 300$ saved up so far and can save an additional 50$ each month. If the trip costs 850 how many months will it take him to have enough for the trip?
Answer:
11 months
Step-by-step explanation:
Nate needs $850 total, and he already has $300. So, the money left that he needs is 850-300 which is $550.
Now, he can save $50 each month, and we need to find the amount of months, x, it will take to reach his goal.
He needs $550, to the equation is:
50x=550
We need to isolate x, so we divide both sides by 50.
x=11
It will take Nate 11 months to save for the trip.
Answer:
11 months
Step-by-step explanation:
850-300=550
550÷50=11
A triangle with side lengths of 8, 15, and 17.5 form a right triangle.
I would appreciate the help
9514 1404 393
Answer:
false
Step-by-step explanation:
You can check to see if the sum of squares of the smaller two numbers is equal to the square of the larger.
8² +15² vs 17.5²
64 +225 vs 306.25
At this point, you need go no further. The sum of two integers will not have a fractional part, so cannot be equal to 306.25.
289 vs 306.25 . . . . the long side is too long for a right triangle.
__
If you were familiar with some of the Pythagorean triples, you would know that the closest triple is {8, 15, 17}, so (8, 15, 17.5) does not represent a right triangle.
A few common Pythagorean triples are ...
{3, 4, 5}, {5, 12, 13}, {7, 24, 25}, {8, 15, 17}, {9, 40, 41}
latisha has 7 boxes with 21 shells in each box. she has 6 bags with 17 shells in each bag. she uses 18 shells to make a design. which of these expressions can latisha use to find how many shells are left
Answer:
231
Step-by-step explanation:
7x21=147
6x17=102
147+102=249
249-18=231
Answer: Letter D 7x21+6x17-18
Bye yw!
solve for x 5x+2=17x-16
Answer:
x=1.5
Step-by-step explanation:
Answer: x = 18/12 or 3/2
Step-by-step explanation:
5x + 2 = 17x - 16
2 = 12x - 16
18 = 12x
18/12 = x
What is the value of the function at x=-2
Y=-4
Y=0
Y=2
Y=3
This is so you can mark him as the brainiest
I gotchu :)
Answer:
thx for the points and happy thanksgiving
Step-by-step explanation:
have a great night/morning
i love food,do u?
Write down the next two numbers in the sequence.
81, 64, 47, 30, ___, ___
Answer:
81, 64, 47, 30, 13, -4
Answer:
The next two numbers are 13 and -4.
Step-by-step explanation:
We are subtracting 17 each time.
30 - 17 = 13
13 - 17 = -4
HELP PLEASE PICTURE EXPLAINS EVERYTHING!!!!
Answer:
(a) Slope of Line 1 = 3
Slope of Line 2 = 3
Slope of Line 3 = -1/3
(b)
Line 1 and Line 2 = Parallel
Line 1 and Line 3 = Perpendicular
Line 2 and Line 3 = Perpendicular
Step-by-step explanation:
Please mark as brainliest! Thanks! Hope this helps!
find the points of D(-3,-1), E(-1,2), F(4,-2) after a rotation 180° about the origin ASAP PLEASE ILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
D = 3,1
E = 1,-2
F= -4,2
question: 3x +8 if x=2
FAST!!!!!
Answer:
3(2)+8= 14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
its pretty much 6+8
8x-4y= -56 put in
slope-intercept form
Answer: x=2x +14
Step-by-step explanation:
1) subtract 8x from both sides: -4x= -8x -56
2) divide both sides by -4: x=2x +14
A scale on a map shows that 2.5 centimetres represents 15 kilometres what number of actual kilometres are represented by 17.5 centimetres on the map
Answer:
105km
Step-by-step explanation:
From the above question, the scale is
2.5 cm = 15km
Therefore,
17.5 cm = x
We Cross Multiply
2.5cm × x = 15km × 17.5 cm
x = 15km × 17.5cm/2.5
x = 262.5/2.5
x = 105 km
Therefore, the number of actual kilometres that are represented by 17.5 centimetres on the map is 105 kilometres.
What is the equation of the line that passes through the point (4,8) and has a slope of 0?
Answer:
The answer is
y = 8Step-by-step explanation:
To find an equation of a line when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
From the question we have
[tex]y - 8 = 0(x - 4) \\ y - 8 = 0 \\[/tex]
We have the final answer as
y = 8Hope this helps you
Please help ASAP!!!!!!!!
Henry has a faulty watch. It is losing minutes every day. How many minutes will be lost after 7 days?
A.
21 minutes
B.
10 minutes
C.
3 minutes
D.
34 minutes
Answer:
A: 21 minutes
Step by step explanation:
If he loses 3 minutes everyday then it would be A because 7 days times 3 minutes he loses everyday equals 21 minutes.