Fist : 3
then
second : x (-3) = - 9
third : x (-3) = 27
x (-3) = - 81
the 15 term ?
first one = 3 x (-3)⁰
second one = 3 x (-3)¹
third one = 3 x (-3)²
so n one = 3 x (-3)ⁿ⁻¹
then the 15th one = 3 x (-3)¹⁴
15) through: (5, -3), parallel to y=-x-4
A) r-2y=-2 B) 2x + y= 2
C) x + y = 2 D) x+y=-2
Step-by-step explanation:
C
parallel to y=-x-4 is C or D
(5,-3)=> C
linda Put $610 in a savings account that pays 1.2% interest each year. Enrique puts $590 in a high-yield account that pays 3.9% interest each year.
Enrique would make more interest than Linda in a year.
What is interest?Interest is the amount of money made from investing a particular amount over a period of time. It is given by:
I = PRT
Where P is principal, I is interest, R is rate and T is period.
For Linda in a year:
I =610 * 1.2% * 1 year = 610 * 0.012 * 1 = $7.32
For Enrique in a year:
I =590 * 3.9% * 1 year = 610 * 0.012 * 1 = $23.01
Enrique would make more interest than Linda in a year.
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Trent is 25 years old and works for a company that matches his 401(k) contribution up to 5%. The interest rate for his 401(k) is 7. 3%. If he puts away 10% of his $32,000 salary every year, what would the total of his 401(k) be in 10 years? Round your answer to the nearest cent. A. $67,266. 16 b. $72,176. 59 c. $33,250. 60 d. $35,677. 89 Please select the best answer from the choices provided A B C D.
The best answer from the choices provided will be B. The total of his 401(k) be in 10 years will be $72,176. 59.
What is the interest rate?The interest rate is a proportion of the principal that a lender charges a borrower. The annual percentage rate (APR) is the term used to describe the interest rate on a loan (APR).
Trent calculates the future value of the contribution using the Future Value formula with an increased contribution each year.
On doing the annual Contribution calculation we get;
The formula for calculating the future value of a yearly donation is as follows:
If F is the future value, P is the present value,n is the time period and I is the interest rate then;
Future value = Present value(1+ Interest rate)ⁿ
[tex]\rm F= P(1+I)^n \\\\ \rm F= 3200(1+7.3 \%)^{10} \\\\ \rm F= \$\ 34443.6[/tex]
Similarly, the formulas may be used to obtain a total contribution value of $72176.59.
Hence the best answer from the choices provided will be B. The total of his 401(k) be in 10 years will be $72,176. 59.
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PLS HELP Find the area of the shaded region. PLEASE
Reason:
The parallelogram has area of A = base*height = 10*7 = 70 cm^2
The white rectangle has area of B = base*height = 3*2 = 6 cm^2
The shaded region has area of A - B = 70 - 6 = 64 cm^2
If you are curious why the rectangle and parallelogram use the same formula to get the area, notice how you can move that triangle on the left toward the right side so that a rectangle can be formed.
Which of the following represents the factorization of the polynomial below?
X2 +9x+20
A. (x + 4)(x+5)
B. (x + 2)(x+10)
C. (x+12)(x+8)
D. (x +15)(x+5)
Answer:A
Step-by-step explanation:
A right triangle has one angle that measures 15º. What is the measure of the other acute
angle?
Answer:
75°
Step-by-step explanation:
The sum of interior angles of a triangle is 180°Right angle = 90°Acute angle is an angle that measures less than 90°
Let x = unknown angle
Therefore, if a right triangle has one angle that measures 15°:
⇒ x + 15 + 90 = 180
⇒ x + 105 = 180
⇒ x = 180 - 105
⇒ x = 75°
[tex] \bigstar \underline\frak{Required \: Solution}[/tex]
[tex] \\ [/tex]
Given :-
Triangle is a right triangleOne angle of triangle = 15°[tex] \\ \\ [/tex]
To find :-
Left angle of triangle.[tex] \\ \\ [/tex]
So first you should know what is right triangle ?
A triangle which has one angle as 90° and other two angles are acute angle.
[tex] \\ [/tex]
So we get know that one angle of triangle is 90°
Now :-
[tex] \star \boxed{\angle 1 + \angle 2 + \angle 3 = 180\degree}[/tex]
Reason :-
Sum of angles of triangle is equal to 180°
Formula :-
sum = (no. of angles - 2) × 180°Sum = (3 - 2) × 180°Sum = 1 × 180°Sum = 189°[tex] \\ \\ [/tex]
Steps to find left angle :-
[tex] \\ [/tex]
[tex] \sf\dashrightarrow\angle 1 + \angle 2 + \angle 3 = 180\degree[/tex]
[tex] \\ \\ [/tex]
[tex] \sf\dashrightarrow90 + 15 + \angle 3 = 180\degree[/tex]
[tex] \\ \\ [/tex]
[tex] \sf\dashrightarrow105 + \angle 3 = 180\degree[/tex]
[tex] \\ \\ [/tex]
[tex] \sf\dashrightarrow\angle 3 = 180\degree - 105 \degree[/tex]
[tex] \\ \\ [/tex]
[tex] \bf\dashrightarrow\angle 3 = 75\degree[/tex]
[tex] \\ \\ [/tex]
.°. measurement of left angle is 75°
Please show me how to do this! will mark brainliest
Answer:
just place them on the chart
Step-by-step explanation:
What is the value of x in the equation −x = 6 − 4x + 18? (1 point) 24 8 −8 −24
Answer: 8
Step-by-step explanation:
its a math question!!! please help! Find the image points given the following triangle reflected across the line y = -1
D(-1,-1), E(1,3), F(3, -2)
Question options:
D'(-2,-2), E'(0,-6), F'(2,-1)
D'(2,-1), E'(21,3), F'(0,-2)
D'(1,1), E'(-1,-3), F'(-3,2)
D'(-1,-1), E'(1,-5), F'(3,0)
Answer:
Step-by-step explanation:
Point D lies on the line, so it is invariant.
Point E is a distance of 4 units away from the line y=-1, so E is now (1, -1-4)=(1, -5).
By the same logic, F' is now (3, 0).
The image points of triangle reflected across the line y = -1 is D'(-1,-1) ,E'(1,-5) , F'(3, 0) .
What is image point?The given point P is "reflected" in the mirror and appears on the other side of the line an equal distance it. Drag the point P to see this. The reflection of the point P over the line is by convention named P' (pronounced "P prime") and is called the "image" of point P.
According to the question
Triangle points given
D(-1,-1), E(1,3), F(3, -2)
and reflected across the line y = -1
As, we have to reflect from y = -1 , there will be no change in x axis in image points only y axis will be change .
D(-1,-1)
x axis = -1
y axis = -1
x' axis = -1
y' axis = distance from -1 to -1 = 0
therefore,
y' axis = -1
D'(-1,-1)
E(1,3)
x axis = 1
y axis = 3
x' axis = 1
y' axis = distance from 3 to -1 = |3 -(-1 ) |= 4 unit
therefore, 4 unit form -1 in negative
y' axis = - 5
E'(1,-5)
F(3, -2)
x axis = 3
y axis = -2
x' axis = 3
y' axis = distance from -2 to -1 = |-2 -(-1 )| = 1 unit
therefore, 1 unit form -1 in positive
y' axis = 0
F'(3, 0)
Hence, the image points of triangle reflected across the line y = -1 is D'(-1,-1) ,E'(1,-5) , F'(3, 0) .
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In an exam Ashley secured 332 marks. If she secured 83 % makes, find the maximum marks.
Answer:
Maximum = 400 marks
Step-by-step explanation:
Given :-
332 marks
83% of the marks
To Find :-
Total marks (T)
Solving :-
T x 83% = 332
T x 83/100 = 332
83T = 33200
T = 33200/83
T = 4 x 100
T = 400 marks
Solution :-
Maximum = 400 marks
Peter has 90 mild peppers and 36 hot peppers.
If Peter wants to put the peppers into baskets so that each basket has
the same number of mild peppers and the same number of hot pep-
pers, what is the greatest number of baskets he can make with how
many of each type of pepper?
Find the greatest common factor of 90 and 36.
A new bank customer with $3000 wants to open a money market account. The bank is offering a simple interest rate of 1.2%.
a. How much interest will the customer earn in 30 years?
b. What will the account balance be after 30 years?
Answer:
Step-by-step explanation:
B)4,290.78 after 30 years.
B1)3000(1.012)^30=4290.78
A) 1,290.78
A1) 4,290.78-3000-1,290.78.
please rate and mark as brainlest.
HELP
Consider the table of values for functions f(x) and g(x).
x f(x) g(x)
−2 −32 125
−1 −1 15
0 0 1
1 1 5
2 32 25
3 243 125
4 1024 625
Which statements are most likely true based on the given values?
Select each correct answer.
A. f(x) is a polynomial function.
B. f(x) is an exponential function.
C. g(x) is a polynomial function.
D. g(x) is an exponential function.
E. The output values of f(x) will remain greater than those of g(x) as the input values continue to increase.
F. The output values of g(x) will surpass those of f(x) as the input values continue to increase.
A . f(×)
IS POLYNOMIAL FUNCTION
or
E
the output of f(×) will remain greater than those of g(×) as input values continue to increase.
CORRECT ME IF I AM WHRONG.
THANK YOU.
Only option A, [tex]f(x)[/tex] is a polynomial function is the correct answer based on the table given.
PolynomialA polynomial is mathematical equation consisting of independent variables such that, for each value of the independent variable, the function have a unique value.
How to determine whether a function is a polynomial?As for uniques values of the variable [tex]x[/tex], the value of the function [tex]f(x)[/tex] is unique so, [tex]f(x)[/tex] is a polynomial function.
The function, [tex]g(x)[/tex] is not a function as it have equal values for two different values of the variable [tex]x[/tex].
Option E and F are incorrect as, we can see in the table that sometimes the value of [tex]f(x)[/tex] is more and sometime the value of the function, [tex]g(x)[/tex] is more.
Thus, only option A is the correct answer.
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May anyone help me with this answer if possible?
Answer:
the answer should be 2,310 pounds
Chelsea wrote several equations and determined that only one of the equations has exactly one solution. Which of these equations has exactly one solution?
4 (x + 3) = 7 x minus 6
4 (x + 3) + 8 = 4 x + 20
4 (x + 3) + 3 x + 7 x + 12
4 (x + 3) + 6 = 4 x + 9
Answer:
c
Step-by-step explanation:
I think
Answer:
It's A
Step-by-step explanation:
I got it right on edge
need help plz
x+14/6+3=5
Answer:
-2
Step-by-step explanation:
Step 1- Subtract 3 from 5=2
Step 2- multiply 2 by 6 =12
Step 3- subtract 14 from 12 =-2
Step 4 plug in -2 and check your work
Enter the correct answers in the boxes.
27% of 140=
% of 500=90
32% of
=8
the answer is 5.185 percent
PLEASE HELP ASAPPPPP!!!!
Answer:
(3,-2)
Step-by-step explanation:
All the others are either negative, 0, or 1. The outlier is 3,-2 because no other coordinate has a positive 3 in the x position.
Hope this helps!!
Have an amazing day!!
PLEASE RATE AND MARK BRAINLIEST!!
?????????????????????????????????????
Answer:
answer is mayonnaise duh
Sumita is following this recipe to make flapjacks.
Sumita uses 20 g of sugar.
How many flapjacks is Sumita making?
Recipe: Makes 14 flapjacks
220 g margarine
140 g sugar
140 ml syrup
250 g oats
30 g sultanas
20flapjacks
Step-by-step explanation:
so this is the answer
Answer:
20 flapjacks
Step-by-step explanation:
What is the slope from the table?!?!
Answer:
The slope is 2.
Step-by-step explanation:
Because the "x" is increasing by 2s, you take the difference between each "y" and divide by two. This gives you four dived by 2, which equals two.
For example, taking the difference between the first "y", 7, and the second "y", 11, is 4. Because the "x" is increasing by twos, you divide by two to get the difference between one "y" and the next. Therefore, the answer is 2.
Answer:
the slope of the line is 2
Step-by-step explanation:
To find the slope of a set of points you use the equation (y 2 - y 1) over (x 2 - x 1) For this equation I will do it twice, to prove that any two sets of points will work for it, so long as x 1 and y1 and x2 and y 2 are across from each other on your table.
20, 45 will be my x 2 and y 2 points for the first equation, and 5, 15 will be my x 1 and y 1 points for the first equation. (plug in the points into the (y 2 - y 1) over (x 2 - x 1) equation). (45 - 15) over (20 - 5). 45 minus 15 equals 30, and 20 minus 5 equals 15. So now the equation is 30/15. But this is not our final slope. This can be simplified to 2/1, because 15 goes into 30 twice, so they can both be divided by 15. 2/1 is also not its final form, because 2 divided by 1 equals 2. This is the slope of your line.
1, 7 will be my x 2 and y 2 points for the second equation, and 3, 11 will be my x 1 and y 1 points for the second equation. (once again plug in the points into the (y 2 - y 1) over (x 2 - x 1) equation) We get: (7 - 11) over (1 - 3). 7 minus 11 is -4, and 1 - 3 is -2. Now we have -4/-2. If you divide -4 by -2, you get positive 2, since a negative divided by a negative becomes positive. Therefore, any 2 points work to find the slope of a group of points.
Would appreciate the help :))
Answer:
blank one: -1 blank two: -15
Step-by-step explanation:
I'm not sure but I think its correct
Is the open sentence8−4x=4x true or false when x = 0?
Answer:
FLASE
Step-by-step explanation:
8 - 4(0) = 4(0)
8 - 0 = 0
8 ≠ 0
Using your understanding of the cause and effect relationship between volume and temperature, explain what happens to the motion of the particles and the kinetic energy of the particles inside a basketball after it has been left out in the cold. Use a model to support your answer.
Answer:
See explanation
Step-by-step explanation:
Temperature is defined as a measure of the average kinetic energy of the molecules of a body. A very important deduction from the kinetic theory of gases is that temperature is proportional to the kinetic energy of gas molecules.
A basketball is filled with gas particles. The higher the temperature of the surrounding, the greater the kinetic energy of the gas particles inside the basketball and the faster their motion and vice versa.
Hence, if a basketball is left in the cold, the kinetic energy of the gas particles in it will decrease and the particles will move very slowly at low velocities.
Find the area of ABC to the nearest tenth.
C=32°, a = 12.6 m, b = 8.9 m
A)118.9 m2
B)112.1 m2
C)59.4 m2
D)29.7 m2
Answer:
the answer is d) 29.7
Step-by-step explanation:
3. Atile warehouse has Inventory at hand and can put in for a
der from a supplier of bundles of tiles.
Currently they have 38 tiles of a certain kind in stock, and can
as Inventory at hand and can put in for a back order from a su
bundle. The equation that represents this order is as follows;
in kind in stock, and can only order more in groups of 12 tiles per
The number of tiles = 12b+38, where b is the number of bundles ordered
(a) If a customer needs 150 tiles, how many bundles will need to be ordered?
answer. Why do we need to round our answer up in this problem?
undles will need to be ordered? Explain how you got your
Step-by-step explanation:
Given the equation that represents this order expressed as;
The number of tiles = 12b + 38 where;
b is the the number of bundles ordered
If a customer needs 150 tiles, the total number of bundles ordered can be gotten by simply substituting The number of tiles into the modeled equation and find the value of b. This is as shown below;
On substituting;
150 = 12b + 38
12b = 150 - 38
12b = 112
b = 112/12
b = 9.33
b ≈ 9 bundles
We need to round up the problem because the number of tiles can not be in fraction but as whole numbers.
The inequality compare between two parameters with a certain extent. The number of bundles to be ordered are 10.
Given that:
Number of tiles the customer needs is 150.
Number of tiles supplier already has is 38.
Tiles per bundle is 12.
And we don't want to supply less tiles to the customer, that is why we will order equal or more tile bundles that will satisfy the customer's needs.
Let b be the number of bundles.
Or symbolically, using inequality, we can say that:
[tex]12\times b \: + 38 \geq 150\\\\b \geq \dfrac{112}{12}\\\\b \geq 9.333...\\[/tex]
Since bundles ordered will be counted in positive integers, thus we have:
b = 10
Thus, the number of bundles to be ordered are 10.
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What number is 5/9 of 10
Answer:
The answer is 5.5.
0.0556
5/9 ÷ 10 = 0.0556 in decimal form.
Trevor has an investment worth $6,774. 50. He made his only deposit in it 22 years ago. Given that the investment yields 2. 7% simple interest annually, how big was the initial deposit? a. $2,524. 50 b. $4,024. 03 c. $4,250. 00 d. $11,404. 88 Please select the best answer from the choices provided A B C D.
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$6774.50\\ P=\textit{original amount deposited}\\ r=rate\to 2.7\%\to \frac{2.7}{100}\dotfill &0.027\\ t=years\dotfill &22 \end{cases} \\\\\\ 6774.50=P[1+(0.027)(22)]\implies \cfrac{6774.50}{1+(0.027)(22)}=P\implies 4250=P[/tex]
Question 10 options: Arnold is planning on painting a mural. Before painting the mural, Arnold painted the picture on a paper that is 5 inches wide and 11 inches tall. Arnold is using a scale in which 12 inch represents 1 foot to paint the mural. How tall will the actual mural be?.
The scale ratio of a model is the proportionate ratio of the model's linear dimensions to the equivalent characters. The actual mural will be 5 inches wide and 11 inches tall.
What is the scaling ratio?The scale ratio of a model is the proportionate ratio of one of the model's linear dimensions to the equivalent characters in the original.
As it is given that Arnold is using a scale in which 12 inches represents 1 foot to paint the mural. but since we know that 12 inches are equal to 1 foot.
Therefore, the actual mural will also be 5 inches wide and 11 inches tall.
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What are some of the factors to take into consideration when opening a savings account and what information do you
need to provide?
Answer:
The factors we might take into consideration when opening a savings account is how accessible are the banks, the types of services the bank provides, customer services, and what types of rates the bank provides.
Step-by-step explanation:
Some of the factors to take into consideration when opening a savings account are;
- Interest Rate
- Minimum Cash Balance
- Wide reach of bank
- Service Charge
Some of the factors to consider when opening a savings account are;
1) Interest Rate; Savings accounts usually pay the lowest interest rates when we compare to other investment means. This is because some pay interest rate of around 6% annually while others pay lesser. Thus, it is very important to choose the bank wisely.
2) Minimum Cash Balance; Some banks require a particular minimum balance to open a savings account. Thus, it will be wise to look for a bank that doesn't require too much initial minimum opening balance.
3) Wide reach of bank; Although many transactions can now be done online but yet there are times we have to go to the banks physically and so it will be good to go with a bank that has many branches.
4) Service Charges; Banks usually have some charges which are called service charge and they range from ATM card charges, SMS charges, transaction charges. Thus, it will be good to have an idea of these charges before opening an account.
The information required to be provided to open savings account are;
- Government issued Identification Card
- Social Security Number
- Date of birth
- Address
- Contact Information like phone number, email e.t.c
- Bank account information
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