Answer:
$1,126.37
Step-by-step Explanation:
Given:
Account balance for:
Month 1 = $1285.12
Month 2 = $961.36
Month 3 = $1132.63
Required:
Average balance of account
SOLUTION:
Average balance of account = sum of account balance for the 3 months ÷ 3
The month in which the balance of Account A is become equal to the balance of Account B is 15th months.
How to find unknown values?Unknown variables are used to find the unknown values of the problem using the algebraic expressions.
The table shows the balances of two bank accounts for 3 months.
Month Account A Account B 0 $50 $350 1 $85 $365 2 $120 $380The amount in account A is growing with $35 each month. Thus, the amount in this account in nth month is,
[tex]50+35n[/tex]
The amount in account B is just growing with $15. Thus, the amount in this account in nth month is,
[tex]50+15n[/tex]
Let the balance of Account A be equal to the balance of Account B iin n month. Thus,
[tex]50+35n=350+15n\\35n-15n=350-50\\20n=300\\n=\dfrac{300}{20}\\n=15[/tex]
Thus, the month in which the balance of Account A is become equal to the balance of Account B is 15th months.
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Solve for x, y, and z.
5 -8
x 7
-2 z
+
2 y
11 4
13 13
, y =
Z =
Answer:
-7, 9 -1
Step-by-step explanation:
Answer:
X= -7 , Y= 9 , Z= -1
Step-by-step explanation:
just tryna pass
I need help with all the work if you help you get all the points and brainliest only if it's correct please help me with the work. its 5th grade so easy for older peeps to help me with
Answer:
click on this link down there and open the file, scroll down to the bottom and there will be your answers
Step-by-step explanation:
Using pythagorean therom whats the answer ??
a2 + b2 = c2
look at image it will give you the qeustion
Answer:
B
Step-by-step explanation:
I would think be because it's the only one that crosses the rest don't
HELP PLEASE ONE LIFESAVERRRrr
Answer:
what do you need help with?
Step-by-step explanation:
Answer:
what do you need help with
Hola, necesito ayuda con un problema de curvas de nivel de dos variables
El ejercicio es:
F (x, y) =xy. C=+-1, +-2, +-6
Aun no se exactamente como se resuelve este caso
Para la función F(x, y) = xy, las curvas de nivel para una constante C tienen la ecuación
x y = C
Tienes que reconocer que esta es la ecuación de una hipérbola. La constante C determina las coordenadas de los focos y los vértices, y las ecuaciones de las asíntotas.
one integer is 6 more than another. their product is 216. find the integers.
Answer:
-18 and -12
Or, 18 and 12
Step-by-step explanation:
Let the integers be 'a' & 'a + 6'.
Their product = 216
=> a x (a + 6) = 216
=> a² + 6a = 216
=> a² + 6a - 216 = 0
=> a² + (18 - 12)a - 216 = 0
=> a² + 18a - 12a - 216 = 0
=> a(a + 18) - 12(a + 18) = 0
=> (a + 18)(a - 12) = 0
=> a = - 18 or a = 12
Integers are: -18 and -18+6 = -12
Or, 12 and 12 + 6 = 18
Please help me find a
Answer:
Step-by-step explanation:
Some steps are shown in converting the following conic inequality from general form to standard form. Complete the conversion and identify the shape, key feature, and which ordered pair is part of the solution set.
Answer:
hyperbola with a solid line boundary
(4, -2)
(0, -4)
Step-by-step explanation:
Took one for the team Edge 2021
The shape of the given equation is hyperbola with solid line boundary, key feature i.e. the center is at (4, -2), and ordered pair is (0, -4) and the standard form will be [tex]\frac{(x-4)^2}{9} -\frac{(y+2)^2}{4} \leq1[/tex] .
What is conic section ?Conic section is a curve obtained by the intersection of the surface of a cone with a plane.
we have,
[tex]4x^2-32x-9y^2-36y-8\leq 0[/tex]
And,
The general form of a Conic Section is,
[tex]Ax^2+Bxy+Cy^2+Dx+Ey+F=0[/tex]
And,
The Standard form of a is,
[tex]\frac{(x-h)^2}{a^2} +\frac{(y-k)^2}{b^2} =1[/tex]
So,
Now,
[tex]4x^2-32x-9y^2-36y-8\leq 0[/tex]
Then,
[tex]4x^2-32x-9y^2-36y\leq8[/tex]
Now, taking common,
[tex]4(x^2-8x)-9(y^2+4y)\leq8[/tex]
Now,
Adding 64 and subtracting 36 to both sides ,
We get,
[tex]4(x^2-8x+16)-9(y^2+4y+4)\leq8+64-36[/tex]
Now,
factor the perfect square,
i.e.
[tex]x^2-8x+16=(x-4)^2[/tex]
Now,
[tex]y^2+4y+4=(y+2)^2[/tex]
Now,
[tex]4(x-4)^2-9(y+2)^2\leq36[/tex]
Now,
Divide both sides by 36,
i.e.
[tex]\frac{4(x-4)^2}{36} -\frac{9(y+2)^2}{36} \leq\frac{36}{36}[/tex]
We get,
[tex]\frac{(x-4)^2}{9} -\frac{(y+2)^2}{4} \leq1[/tex]
So, this is the standard form of the given cubic inequality.
Hence, we can say that the shape of the given equation is hyperbola with solid line boundary, key feature i.e. the center is at (4, -2), and ordered pair is (0, -4) and the standard form will be [tex]\frac{(x-4)^2}{9} -\frac{(y+2)^2}{4} \leq1[/tex] .
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Mariana is making a large pot of pasta. She mixes together 5 pounds of pasta, 6 pounds of sauce, and
45 pounds of onions
To find out how many z pound servings can she make, which two equations would you need?
Answer:
B
Step-by-step explanation:
The equations we need are:
(5(1/8) + 4(7/8) +6 = 16) to find the total weight of pasta, sauce, and onions.
(41/8) ÷ (1/2) = ? to find how many 1/2 pound servings Mariana can make.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
We have two types of fractions.
Proper fraction and improper fraction.
A proper fraction is a fraction whose numerator is less than the denominator.
An improper fraction is a fraction where the numerator is greater than the denominator.
Example:
1/2, 1/3 is a fraction.
3/6, 99/999 is a fraction.
1/4 is a fraction.
We have,
To find out how many 1/2-pound servings of pasta Mariana can make, we need to divide the total weight of pasta, sauce, and onions by 1/2.
Therefore, we need the equation:
(5(1/8) + 6 + 4(7/8)) ÷ (1/2) = ?
Simplifying the expression inside the parentheses, we get:
(41/8) ÷ (1/2) = ?
To divide by a fraction, we can multiply by its reciprocal. Therefore:
(41/8) ÷ (1/2) = (41/8) x (2/1) = 82/8 = 10(1/4)
So Mariana can make 10(1/4) servings of pasta.
Therefore,
The equations we need are:
(5(1/8) + 4(7/8) +6 = 16) to find the total weight of pasta, sauce, and onions.
(41/8) ÷ (1/2) = ? to find how many 1/2 pound servings Mariana can make.
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please help me solve this.
A basketball team played 65 games. The ratio of the number of games they won to the number of games they lost 4:3. How many games did they win? How did games did they lose ?
Answer:
Let L be the number of losses. T is the total number of games, and it has the value 64. W is the number of wins.
They won 28 more than they lost, so W = L + 28.
Since W = L + 28, W = 18 + 28 = 46.
Tell me if this makes sense..! if it dont ill explain it more clearly! :)
At a part-time summer job, Luiz earn $10.10 per hour. Which equation can be used to find how many
hours he must work to earn $232.30?
A. 232.30x - 10.10
B. 10.10x - 232.30
C. 10.10+ x - 232.30
D. x - 10.10+232.30
Answer:
I would say it is B
Step-by-step explanation:
Because to find the value of x, you would need to divided 232.30 by 10.10, you have to use the opposite for algebra so the opposite is multiplication.
can earn 5 coins
Dimitri pays 9% sales tax on a bag of groceries that costs 46 dollars. How much does the sales tax add to
the purchase price?
Answer:4.14
Step-by-step explanation:
Answer:
474
Step-by-step explanation:
took the test on edg
What time will it be when the house hand has rotated 90 degrees
Answer:
1:00
Step-by-step explanation:
90 degrees is 3 hrs, 10:00 + 3:00 = 13:00 = 1:00 PM/AM
The four tables below show relationships in which the x values represent inputs and the y values represent the corresponding
outputs.
R
s
T
y
re
y
y
3
-2
-5
-2
3
4
1
3
2
4
1
3
4
5
3
-3
3
7
3
3
3
4
S
3
4
10
5
3
4
-5
Which table represents a relationship that is not a function?
a e
b. R
c. S
d. T
Answer:
T
Step-by-step explanation:
Has more than one x for a given y.
SOMEONE HELP I HAVE 60 MINS PLEASE PLEASE PLEASE
Answer:
g(x) = 3 (x + (-5)) (x + (-9))
Zeros: (5 and 9)
Step-by-step explanation:
3a² -42a +135 = 3 (a² - 14a +45) = 3 (a-5) (a-9)
3 (a-5) (a-9) = 0
a = 5 or a = 9 ..... Zeros
Mia spins two spinners. Each spinner has sections labeled A, B, and C. If each spinner lands in one of the lettered sections, which outcome is missing from the sample space represented by the table?
A B C
A A A A B A C
B B B B C
C C A C B C C
Select one:
B B
A B
C A
B A
Answer:
BB
Step-by-step explanation:
The population of Durango, CO is 19,000 people. It is projected to grow by 7% each year for the next several years. Given the equation P(t)=19000(1.07)^t , where P represents the population and t represents the time in years. After how many years will the population reach 25,000?
Answer:
2355
Step-by-step explanation:
Danielle poured 3/4 gallon of water from a 7/8 gallon bucket.How much water is left in the bucket?
Answer:
1/8
Step-by-step explanation:
3/4 = 6/8 after you multiply top and bottom by 2
Subtract 3/4 from 7/8 and we get
7/8 - 3/4 = 7/8 - 6/8 = (7-6)/8 = 1/8
There is 1/8 of a gallon left
How many cm of framing are needed to make a picture frame with outside measurements 40 cm and 25 cm
Answer:
For average sized artwork (about 11x14" to 30x20"), the common mat width is 2". If you artwork is smaller, you might consider a 1.75 or 1.5" mat.
Step-by-step explanation:
. Do the points P (-2, -3), Q (4, 1) and R (2, 4) form a right triangle?
Answer:
Since the length of the sides respects the Pythagorean theorem, these points form a right triangle.
Step-by-step explanation:
Distance between two points:
Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Right triangle:
Sum of the squares of the two smaller sides is equal to the square of the largest side(Pythagorean theorem).
Length of side PQ:
P (-2, -3), Q (4, 1)
[tex]a = \sqrt{(4 - (-2))^2+(1 - (-3))^2} = \sqrt{6^2 + 4^2} = \sqrt{52}[/tex]
Length of side PR:
P (-2, -3), R (2,4)
[tex]b = \sqrt{(2 - (-2))^2+(4 - (-3))^2} = \sqrt{4^2 + 7^2} = \sqrt{65}[/tex]
Length of side QR
Q (4, 1), R (2,4)
[tex]c = \sqrt{(2 - 4)^2+(4 - 1)^2} = \sqrt{2^2 + 3^2} = \sqrt{13}[/tex]
Pythagorean Theorem:
Smaller sides: a and c
Largest side: b
So
[tex]a^2 + c^2 = b^2[/tex]
[tex](\sqrt{52})^2 + (\sqrt{13})^2 = (\sqrt{65})^2[/tex]
[tex]52 + 13 = 65[/tex]
[tex]65 = 65[/tex]
Since the length of the sides respects the Pythagorean theorem, these points form a right triangle.
PLEASE HELP ME I REALLY NEED HELP! MARK BRANILIEST
Answer:
The little cat can eat 1/3 of the bag whilst the other can eat 1/2
Step-by-step explanation:
Are the expressions
5
(
x
+
2
)
+
10
and
5
x
+
12
equivalent, and why?
Answer:
Yes it is equivalent
Step-by-step explanation:
Simply 5(x+2)+10 and you will get 5x+12
An occupational safety officer for a large company is conducting a study to investigate back problems in office workers who use a computer for most of the workday. The study will
investigate the difference in back problems for workers who stand and workers who sit. A group of 68 volunteers have agreed to participate in the nine-month study. Half the group
is randomly assigned to work while standing, and the other half is assigned to work while sitting. At the end of the study, the mean number of back problems between the two
groups will be calculated. The officer will use the results to estimate the difference in the mean number of back problems between those who work while standing and those who
work while sitting
Which of the following is an appropriate inference procedure for the study?
Answer:
Answer is E
Step-by-step explanation:
did the test, also person who answered before was wrong
Considering the situation described, the appropriate test is given by:
E) A two sample t-interval for difference between population means.
When to use the t-distribution and the z-distribution?If we have the standard deviation for the sample, the t-distribution is used.If we have the standard deviation for the population, the z-distribution is used.In this problem, we will have the data from the sample, hence it is a t-test. We will compare the population means of the two groups, hence a two-sample t-interval is used, and option E is correct.
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How do I compare 4/6 and 1/3 using benchmark fractions?
Steps Determine whether or not the fractions have the same denominator. This is the first step to comparing fractions. Find a common denominator. To be able to compare the fractions, you'll need to find a common denominator so you can figure out which fraction is greater. Change the numerators of the fractions.
The perimeter is about WHAT HELP!?
7^5 / 7^2 =345
true or false
Answer:
False
The answer is 343 not 345
Step-by-step explanation:
7^5 / 7^2 =
16807 / 49 =343
Answer:
False.
7⁵ ÷ 7²
= 7⁽⁵⁻²⁾
= 7³
= 343
Please give me the answer and where it’s located at .
Solve
10x + 4
= 8
7
ASAP
Answer:
10x + 4/7 = 8
10x + 4 = 56
10x = 52
x = 5.2