Answer:
Let x represent the amount of $ in the 4% account and y in the 2% account.
Then x + y = $4000 (total savings).
Interest at 4% would be x*0.04*1 = 0.04x, and
Interest at 2% would be y*0.02*1 = 0.02y.
Then 0.04x + 0.02y = $140 interest, total.
We must solve this system of linear equations.
Mult. 0.04x + 0.02y = $140 by 100 to remove the fractions:
4x + 2y = $14000 We already know that x + y = $4000, so y = $4000-x.
Then 4x + 2y = $14000 becomes 4x + 2($4000-X) = $56000.
Simplifying, 4x + $8000 - 2x = 14000.
2x = $6000
x = $3000 at 4%
y = $1000 at 2%
i hope it helps :)
Step-by-step explanation:
Solve.
x^2 + 4 = 0.
Answer:
No real solutions
Step-by-step explanation:
You use the quadratic formula.
x = −b ± √(b^2 − 4ac)/2a where y = ax^2 + bx + c
b is 0, a is 1, and c is 4.
-0 ± √(0^2 − 4 x 1 x 4)/ 2(1)
±√(-16)/2
Split √(-16) into √(16) and √(-1).
Now, i = √-1
So you get ±√(-16) = ±4i.
The original equation was ±√(-16)/2.
±4i / 2 = ±2i
The answer is x = ±2i
(Note: ± means positive or negative)
Which of the following should come next at the end of this row of letters? XOOOOXXOOOXXX:
a. oxxx, b. ooxx, c. xooo
Answer:
b
Step-by-step explanation:
The correct option that should come next at the end of this row of letters is OOXX.
What is a sequence?A sequence can be defined as an arrangement of letters or numbers in a particular manner.
If you look at the given sequence it can be seen as the set of 5 letters where X is starting the set while O is ending the series. Also, the number of X will tend to increase in the next set as well while the number of O will be reduced. Therefore, the series can be seen as,
XOOOO XXOOO XXXOO XXXXO
Thus, the correct option that should come next at the end of this row of letters is OOXX.
Learn more about Sequence:
https://brainly.com/question/21961097
A bind is flying north with a mass of 2.5 kg has a momentum of 17.5 kg m/s. At what velocity
is it flying?
(P=m*v) P=momentum, m=mass, and v=Velocity,
Answer:
6 m/s
Step-by-step explanation:
Plug in the mass and momentum into the equation, and solve for v:
p = mv
17.5 = 2.5(v)
7 = v
So, the velocity is 6 m/s
A reflection across the x-axis maps the point (4,-5) to the point
Answer:
(4,5)
Step-by-step explanation:
A reflection is a mirror image of the shape.
A reflection across the x-axis maps point (4,-5) to point (4. 5).
What is reflection?A reflection is a mirror image of the shape.
After the reflection, every point in a figure is equidistant from each corresponding point in the reflected figure.
We have,
A point = (4, -5)
The point is reflected across the x-axis.
The reflection formula is given as:
Reflection across the x-axis:
(x, y) → (x, -y)
Reflection across the y-axis:
(x, y) → (-x, y)
The point (4, -5) reflected across the x-axis is:
(4, -5) → (4, - (-5)) = (4, 5)
Thus,
A reflection across the x-axis maps point (4,-5) to point (4. 5).
Learn more about reflections here:
https://brainly.com/question/15487308
#SPJ2
Given the polynomial function
f(x)=x^3-4x^2+x+6
Write the original polynomial function in factored form.
Will award brainliest
I think the answer is (x+1)(x-2)(x-3)
if (x) = x+8 and g(x) = -4x-3, find (f+ g)(x).
A. (F+ 9)(x) = 5x +11
B. (f+9)(x) = -3x+5
C. (f+ g)(x) = 3x - 5
D. (f+ 9)(x) = -5x - 11
Answer:
Answer=B
(f+g)(x)=-3x-5
Step-by-step explanation:
f(x)=x+8.
g(x)=-4x-3.
(f+g)(x) means f(x)+g(x),So
(x+8)+(-4x-3)
(add all same terms together)
=(x+(-4x))+(8+(-3))
=-3x+5
so,
(f+g)(x)=-3x+5
Workout the value of 3x-4y when x=3and y=2
Answer:
gimme your disc ill help
Step-by-step explanation:
Help please.............
5. Wnte a rational number
between 6 and 7.
Answer:
6.2
Step-by-step explanation:
decimals are rational numbers so you could do 6.2
Please please help me asp
Answer:
[tex]option \: b. \: is \: right.[/tex]
Answer:
the is 28 according to bdmass rule
SOMEONE PLEASE HELP ILL GIVE BRAINLIEST
Answer: Its E,F, and H
Step-by-step explanation: There no way its not E,F, and H . C is a right angle so I believe the questions asking what other ones are right angles and that answer would be E,F and H.
Consider this simplified algebraic expression:
12y - 5x + 15
Which of the following could be the original expression? Check all that apply.
12y – 20x + 15x + 15
U 10 – 5x + 5+ 6g - 6g
O 15x + 12y - 10x + 15
2xy + 10y - 7x + 15
14 - 4x + 15y - x +1-3y
Answer:
it is the first one and the last one
Step-by-step explanation:
How can we efficiently multiply by multiples of 10?
Answer:
just add a zero
Step-by-step explanation:
because if you do all the work it's just a waste of time when you could get the same answer by just adding a zero.
Find the roots of
25
x
2
−
36
A.
5, 0
B.
5, -6
C.
0, 25
D.
−
6
5
,
6
5
Answer:
D. 65,65
Step-by-step explanation:
I think it's A?
I'm not sure though
Help pls
According to a food label on a box of cookies, each box has 16 servings and each serving contains 4 cookies. The weight of the box of cookies is 1/2 kilograms. What is the weight of each cookie?
Answer:
7.8125 grams
Step-by-step explanation:
As per the food label on the box of cookies, there are 16 servings in each box and each serving contains 4 cookies.
Therefore, each box of cookies contains (16 × 4) = 64 cookies.
If a box of cookies weighs kg i.e. 500 gram, then the weight of each cookies will be grams. (Answer)
El lado de un rectángulo mide el tiple de su ancho, si el perímetro mide 96 cm ¿cuáles son sus dimensiones?
Answer:
Ancho 12 cm, Largo 36 cm
Step-by-step explanation:
lamamos al ancho X y por tanto el largo será 3X
Como el perímetro es la suma de los 4 lados, tenemos la siguiente igualdad:
3X+3X+X+X=96 cm
8X=96 cm
X=96 cm/8
X=12 cm
El ancho mide 12 cm
Si el largo es el triple, entonces 3 x 12 = 36 cm
An outlier is often defined as a number that is more than 1.5 times the interquartile range below the first quartile or above the third quartile. Using the definition of an outlier and the given information, which of the following can be concluded?
A. The median is greater than the mean, and the distribution has only one outlier. The median is greater than the mean, and the distribution has only one outlier.
B. The median is greater than the mean, and the distribution has two outliers. The median is greater than the mean, and the distribution has two outliers.
C. The median is less than the mean, and the distribution has only one outlier. The median is less than the mean, and the distribution has only one outlier.
D. The median is less than the mean, and the distribution has two outliers.
Full question attached
Answer
Option A: the median is greater than the mean and the distribution has only one outlier
Explanation:
From the data median is definitely greater than mean as we can see from the data of siblings, median which is middle number is somewhere greater than the mean 3.5 from the question. Also from the definition of an oulier and given that the median is just one middle number in data, there is just one outlier in the data
Mr. Hernandez found salmon on sale at HEB for $6.99 per pound. How much would it cost if Mr. Hernandez bought 3.2 pounds of salmon? Round your answer to the nearest cents.
Answer:
$22.37
Step-by-step explanation:
Answer:
$22.37
Step-by-step explanation:
6.99(3.2)
pls pls pls help if ur good with angles and sides
Answer:
∆PQR: Equilateral Triangle
∆PRT: Scalene Triangle
∆TQS: Isosceles Triangle
∆QNP: Right Triangle
Step-by-step explanation:
∆PQR is an Equilateral Triangle because all of its angles are equal (60°).
∆PRT is a Scalene Triangle because none of its sides are equal.
The triangle above it is equilateral, and one side length is 14, meaning all of its side lengths are 14.
This makes the top of ∆PRT 14. The hypotenuse is given and it’s 18.
The last side left is clearly shorter than both, meaning none of the sides are equal.
∆TQS is an Isosceles Triangle because 2 angles are equal.
The base angles are both 76°.
∆QNP is a Right Triangle because segment QN and PR are perpendicular, creating two 90° angles on both sides.
For number 10, I suggest using a graphing calculator or desmos to graph the points. (Or you can just add the points but I suggest graphing).
From there, you can count the length of each side.
Segment DE: 9
Segment EF: 8
Segment FD: 10
This makes ∆DEF in number 10 a Scalene Triangle because none of its sides are equal.
For number 11, I also suggest graphing the points and counting the sides.
Segment DE: 7
Segment EF: 9
Segment FD: 7
This makes ∆DEF in number 11 an Isosceles Triangle because 2 of its sides are equal.
Hope this helps! :)
2. What is the rule that relates values from a set of
values to a second set of values?
A. Function
C. Relation
B. Theorem
D. None of these
Answer:
Relation
Step-by-step explanation:
The rule that relates elements of one set to elements of another set is called "Relation". Functions are special types of Relations.
{(0, -8), (5, 3), (-4, 3), (9, 2)}
Given the following relation, which of the following sets below represent the Domain?
A.{-4, 0, 5, 9)
B. {-8, 2, 3}
C. (1,2,3)
D.{-8,-4, 0, 2, 3, 5, 9}
Edgar made an initial deposit of $3200 into a deposit account, and plans to contribute an additional $175 every month. The account does not pay any interest. After how many months will he have a total of $6000?
Answer:
16
Step-by-step explanation:
What is the slope of a line perpendicular to the line whose equation is 15x+12y=-108
Answer:
m perpendicular 1/3
Step-by-step explanation:
Have a nice evening.
Which polynomial represents the area?
Answer:
A is the Answer.
Step-by-step explanation:
You multiply x with 2x ( Gives you 2x^2 ) then -1 with 2x ( Gives you -2x ) then -8 with x ( Gives you -8x ) then -1 with-8 ( Gives you +8 ), finally you add the two x's ( not x^2 ). Your fibal answer will be 2x^2 - 10x +8.
Hope this helps.
Please help easy question
The Answer:
63° degrees
Answer:
63° degrees
Step-by-step explanation:
what is 1.2983 rounded to the nearest tenth
Answer:
1.3
Step-by-step explanation:
It round up
Answer:
1.3
Step-by-step explanation:
What is the sum of (−9x4+6x3+2x5+6) and (3x5+3x4+7x3+8)?
Answer:
(−9x4+6x3+2x5+6)
(3x5+3x4+7x3+8)
Step-by-step explanation:
The answer to (−9x4+6x3+2x5+6) is -2
and the answer to (3x5+3x4+7x3+8) Is 56
John earned $36 for 8 hours of work, Earnings are directly proportional with hours worked. How much did he earn when he worked 30 hours? O $135
Answer:
he earned 135 dolars
Step-by-step explanation:
Answer:
$135
Step-by-step explanation:
first you want to find out how much he makes for 1 hour
36/8=4.5
then you multiply 4.5 by 30 because he makes $4.5 an hour and you want to find out how much money he makes when working 30 hours
If an investment account starts with $3900, and grows with 2.1% interest, compounded continuously. How much is the account worth after 10 years? Round your answer to the nearest dollar. Do NOT round until you have calculated the final answer.
Answer:
If they are asking amount it is $4800.893013; $4800 (nearest dollar)
If they are asking the amount for interest is $900.8930129; $900 (nearest dollar)
Step-by-step explanation:
Compound interest Formula:
Amount = principle( 1+ rate/100)^n
Information from the question.
-So how you put it is the principle is $3900; the rate is 2.1%; the n is 10.
How to apply it?
- Just substitute in the values;
Amount=3900(1+2.1/100)^10
=4800.893013
~4800 ( nearest dollar)
》That is for amount.
Interest=4800.893013-3900
=900.893013
~900 ( nearest dollar)
》That is for interest.
Hope it helps!!!!:))
Answer:
Step-by-step explanation:
A=Pert=3900e(0.021)(10)≈4811.34
The account is worth $4811 after 10 years.
Round 2,946 to the nearest thousand
Answer:
3,000
Step-by-step explanation:
Round up when the place value is greater than or equal to 5. 9>5
Answer:
3,000
Step-by-step explanation:
anytime it says round to the nearest thousand you look at the number right of the thousandth , or any number their asking about. if it is 4 and under round down. 5 and up you round up.