OK SO, Sonja has a bank account balance of $1400. Each week, her balance changes by -$85.25. She wants to keep the balance above $377.
How many weeks will Sonja's balance remain above $377?
Select from the drop-down menu to correctly complete the statement.
Answers
There are 12 weeks will Sonja's balance remain above $377.
What is account balance?
The balance is the sum owed on an account in banking and accounting. The term "balance" in bookkeeping refers to the difference between the total of debit entries and the total of credit entries made into an account over the course of a given financial period. The account shows a debit balance when total debits exceed total credits.
Given:
Sonja has a bank account balance of $1400. Each week, her balance changes by -$85.25. She wants to keep the balance above $377.
We have to find the number of weeks will Sonja's balance remain above $377.
Let, $1400 - $377 = $1023.
⇒ $1023 / $85.25 = 12
Hence, there are 12 weeks will Sonja's balance remain above $377.
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Related Questions
253 x 804 =
Solve by using standard algorithms
Answers
Answer:
203412
Step-by-step explanation:
253
*804
___
16
40
32
20
12
______
203412
This is a Vedic Math trick you can use to multiply fast, called the criss-cross method.
Please help I have a learning disability and this is due today
Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.
0 + 32 and 0
yes, it uses the Commutative Property
No they are not equivalent. The first expression is equal to 32, not 0.
yes, it uses the Associative Property
yes, it uses the Identity Property
Answers
Answer:
yes, it uses the Commutative Property
Step-by-step explanation:
Is the area of an equilateral triangle is 9 root 3 cm square then the semi perimeter of the triangle is?
Answers
The equilateral triangle has a 9 root 3 cm square area, and its semi-perimeter is 9 cm.
what is triangle ?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric forms. The name given to a triangle with the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
given
area of equilateral triangle = [tex]9\sqrt{3}cm^{2}[/tex]
formula of area of equilateral triangle = [tex]\frac{\sqrt{3}a^{2} }{4} sq.units[/tex]
a = side of triangle
[tex]\frac{\sqrt{3}a^{2} }{4} sq.units[/tex] = [tex]9\sqrt{3}cm^{2}[/tex]
[tex]a^{2} = \frac{4* 9\sqrt{3} }{\sqrt{3} }[/tex]
[tex]a^{2} = 36\\ a = 6 cm[/tex]
since equilateral triangle all sides are equal
perimeter of triangle = 6 + 6 + 6
= 18cm
the semi perimeter of the triangle = 18 /2 = 9 cm
The equilateral triangle has a 9 root 3 cm square area, and its semi-perimeter is 9 cm.
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What are the 3 algorithms?
Answers
Sequencing, selection, and iteration are the three fundamental building blocks that make up an algorithm.
What is algorithm?An algorithm in mathematics is a process, a description of a series of steps that can be used to solve a mathematical computation, but they are now much more prevalent than that. The long division algorithm is perhaps the most well-known application of algorithms in science (and in daily life, for that matter).
Algorithms are all about figuring out the most effective ways to perform the math, despite the fact that the above explanation might sound a little fussy and detailed. Mathematicians are known for being lazy, so they frequently seek out shortcuts, as the anonymous mathematician puts it. For locating these short cuts, algorithms are used.
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ILL GIVE BRAINLIEST
Answers
Answer:
I can't read the question it's too blurry
Need help answering this question!!!!
Answers
Area of Sector = Area * radians of sector / 2 * pi radians
Where,
Area: it is the area of the complete circle.
We have then:
Area = pi * r ^ 2
Area = pi * (6) ^ 2
Area = 36pi
Substituting values:
5pi = 36pi * radians of sector / 2 * pi
Clearing:
radians of sector = ((5pi) * (2pi)) / (36pi)
radians of sector = (10pi ^ 2) / (36pi)
radians of sector = (10pi) / (36)
radians of sector = (10/36) pi
radians of sector = (5/18) pi
in degrees:
(5/18) pi * (180 / pi) = 50 degrees
Answer:
The measure of the central angle is:
50 degrees
Pls help me to do this
Answers
Answer:
1. 2 more children
2. 13 centimeters
3. Can't determine without ruler
Step-by-step explanation:
1. 5-3 = 2
2. 22-9 = 13
state if the function is a growth or decay and the factor
y=2x
Answers
Answer:
the function shows growth of a factor of 2
Step-by-step explanation:
The function is a growth, the factor 2
Choose Yes or No to tell whether or not the symbol needs to flip when completing this inequality:
- 6w < 21
Answers
Answer:
yes ..................
Given a prime $p$ and an integer $a$, we say that $a$ is a primitive root $\pmod p$ if the set $\{a,a^2,a^3,\ldots,a^{p-1}\}$ contains exactly one element congruent to each of $1,2,3,\ldots,p-1\pmod p$.For example, $2$ is a primitive root $\pmod 5$ because $\{2,2^2,2^3,2^4\}\equiv \{2,4,3,1\}\pmod 5$, and this list contains every residue from $1$ to $4$ exactly once.However, $4$ is not a primitive root $\pmod 5$ because $\{4,4^2,4^3,4^4\}\equiv\{4,1,4,1\}\pmod 5$, and this list does not contain every residue from $1$ to $4$ exactly once.What is the sum of all integers in the set $\{1,2,3,4,5,6\}$ that are primitive roots $\pmod 7$
Answers
Only 3 & 5 from the set {1,2,3,4,5,6} are primitive root (mod7), therefore, sum of integers is 3 + 5 = 8.
What is primitive root?A number g is a primitive root modulo n if every number a coprime to n is congruent to a power of g modulo n in modular arithmetic. That is, g is a primitive root modulo n if for every integer a coprime to n, some integer k for which gk ≡ a (mod n).
The index or discrete logarithm of a to the base g modulo n is a value k like this. So, if and only if g is a generator of the multiplicative group of integers modulo n, g is a primitive root modulo n.
In Article 57 of his Disquisitiones Arithmeticae (1801), Gauss defined primitive roots and credited Euler with coining the term.
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Please help me answer this math question !
Answers
Answer:
y=-3x+6
Step-by-step explanation:
Bru.h I suck at doing this and mostly like DECIMALS I don’t like that- someone pl help me
Answers
Answer:
D
Step-by-step explanation:
Answer:
5,006.04
Step-by-step explanation:
Hope it Helps!
:)
In the diagram below, transversal t intersects parallel lines I and m.
What is the value of x?
Answers
Step-by-step explanation:
x+10=116
x=116-110
=106
x=106
Mark got a loan of $77000 which he will complete repayment in
3 years. If the loan is compounded Sem- Annually at 7% per annum, what amount will he repay? (work out?)
Answers
Answer:
A = $94652.66
Step-by-step explanation:
Use the compound amount formula A = P(1 + r/n)^(nt), where r is the annual interest rate and n is the number of compounding periods per year.
Here, A = ($77000)(1 + 0.07/2)^(2*3), or
A = $77000(1.035)^6, or
A = $77000(1.229), or
A = $94652.66
Mr. McDonald has $500.00 to spend at a bicycle store. All prices listed below include tax. He buys a new bicycle for $273. 98. He buys 3 bicycle reflectors for $7. 23 each and 1 bicycle helmet for 42.36. he plans to use the remaining money to buy new cycling outfits for $78.12 each. Write and solve an inequality to determine the greatest number of cycling outfits that Mr. Mc Donald can buy with the remaining money?
Answers
Answer:
(500-338.03)-78.12x
Step-by-step explanation:
so we know that he has 500 dollars on him. he bought a bike for 273.98. then we add that to 7.23 for each bike reflector. he bought 3 so we do 7.23*3, which is 21.69. he also bought a helmet which cost 42.36. now we add the numbers together. 273.98+21.69+42.36=338.03
he has 500 dollars on him. we need to find out how much money he has left. 500-338.03 is 161.97. he has that much money left.
the bike suits 78.12 each. the easy way to solve this is by doing 161.97/78.12.
this comes up as 2.073. rounded is 2. he can only buy 2 suits
the inequality you are looking for is: (500-338.03)-78.12x
can you find the proportion pwease :)
Answers
Answer:
15 cookies, 10 brownies.
Step-by-step explanation:
I'm assuming that she is selling the same amount of cookies and brownies per hour. If that is the case...
Multiply it by 5. If 3 cookies were sold in one hour, and there's 5 hours, just multiply 3 by 5. Total number is 15 cookies.
Same goes for brownies. Multiple 2 brownies by 5. That makes 10 brownies.
Manchu has drawn a
rectangle with a base of
24 cm and an area of
336 cm². He cuts the
rectangle as shown to make two triangles.
What are the height and area of each
triangle?
Answers
Answer:
Height of each triangle: 14cm
Area of each triangle: 168cm²
Step-by-step explanation:
So we know that the base of the area is 24. Lets find the height.
336 ÷ 24 = 14
If he makes two triangles out of the rectangle that just means he cuts it in half.
To find the area of one triangle lets do:
336 ÷ 2 = 168
Let's double check our answer:
(14 × 24) ÷ 2 = 168
Seems great!
What is the greatest possible quotient of any two distinct members of the set $\left\{\frac{2}{5}, \frac{1}{2},5,10\right\}$? Specifically, we wish to maximize $\frac{x}{y}$, where $x$ and $y$ are chosen from the previous set.
Answers
The greatest possible quotient of any two distinct members of the set; { 2 / 5, 1 / 2, 5, 10 } as required to be determined is; 25.
What is the maximum possible quotient of any pair of numbers from the set?It is evident from the task content that the set from which the two numbers whose quotient is to be maximised is; { 2 / 5, 1 / 2, 5, 10 }.
On this note, since the quotient which is to be maximised is hypothetically; x / y;
Therefore, in a bid to maximize the result of the quotient; it follows that the numerator, x must be as great as possible and the denominator, y must be as less as possible.
On this note, since the maximum number in the set is 10 and the minimum is 2 / 5; we have that;
10 / (2 / 5)
= ( 10 × 5 ) / 2
= 25.
Ultimately, it can be inferred that the greatest possible quotient as required is; 25.
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Find the ordered triplet (x,y,z) for the following system of equations: x+3y + 2z = 1, 03x+y+5z=10, -2x-3y+z=7
Answers
The ordered triplet (x, y, z) or the following system of equations: x+3y + 2z = 1, 03x+y+5z=10, -2x-3y+z=7 is (-170/127, -89/127, 282/127).
Start with the first equation:
x + 3y + 2z = 1
Isolate x by subtracting 3y and 2z from both sides:
x = 1 - 3y - 2z
Substitute this expression of x into the second equation:
0.3x + y + 5z = 10
Substitute the value of x found in step 2 into this equation:
0.3(1 - 3y - 2z) + y + 5z = 10
0.3 -0.9y -0.6z + y + 5z = 10
0.1y + 4.4z = 9.7
y + 44z = 97
Solve for y by isolating it:
y = 97 - 44z
Substitute this expression of y into the first equation:
x + 3(97 - 44z) + 2z = 1
x + 291 - 132z + 2z = 1
Solve for x:
x = 130z - 290
Substitute this expression of x into the third equation:
-2(130z - 290) - 3(97 - 44z) + z = 7
-260z + 580 - 291 + 132z + z = 7
Solve for z:
127z = 282
z = 282/127
Substitute this value of z into the expression of y:
y = 97 - 44(282/127)
= -89/ 127
Substitute the values of z into the expression of x:
x = 130(282/127) - 290
= - 170/ 127
So the solution of the system of equations is: x = -170/127, y = -89/127, z = 282/127.
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which fraction is greater? a)3/18,2/6
Answers
Answer:
2/6
Step-by-step explanation:
The LCD of 18 and 6, so when you multiply 2/6, it will be 5/18. So 5/18 is greater than 3/18
Answer:
3/18 is smaller than 2/6
Step-by-step explanation:
(x - 7)2 + (y + 5)2 = 4
what’s the center and radius
Answers
Answer:
(7, - 5 ) and r = 2
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x - 7)² + (y + 5)² = 4 ← is in standard form
with centre = (h, k ) = (7, - 5 ) and r = [tex]\sqrt{4}[/tex] = 2
5 t-shirts and a hat costs £17.00
2 t-shirts and a hat costs £8.00.
How much does a t-shirt cost?
How much does a hat cost?
Answers
Answer: A t-shirt costs £3.00x, while a hat costs £2.00
Sorry if it's wrong
Step-by-step explanation:
Please tell me and tell me the correct answer. No link will acceptable. Check out the image. Need the correct answer.
Answers
Answer:
3(a+2) = 3a+6
Step-by-step explanation:
In the expression 3(a+2), 3 distributes into "a" and 2. Therefore, 3(a+2) = 3(a)+3(2) = 3a+6
L) simplify
sin²x ( cot²x + 1 )
Answers
Answer: 1.
Step-by-step explanation:
[tex]\displaystyle\\sin^2x(cot^2x+1)=\\\\sin^2x(\frac{cos^2x}{sin^2x}+1)=\\\\\frac{sin^2xcos^2x}{sin^2x}+sin^2x=\\\\cos^2x+sin^2x=\\\\1.[/tex]
8. The price of a hoodie on sale increased from $25 to $45. By what percentage was the price of the hoodie increased?
Answers
Answer:
44.44%
Step-by-step explanation:
Amelia made a line plot of her scores on 25-point math quizzes. What is the difference between the total of her most frequent number of points per quiz and the total of her greatest number of points scored per quiz? A. 0 points B. 6 points C. 18 points D. 22 points
Answers
Answer:
I think it B.
Step-by-step explanation:
Factor the algebraic expression 24a + 20
Answers
Answer:
Step-by-step explanation:
Take the GCF of 24 and 20.
4 (6a+5)
The simplified expression is 4(6a+5).
What is meant by expression?An expression is a sentence with a minimum of two numbers or variables and at least one math operation.
The given algebraic expression is 24a + 20.
By taking 4 as common factor, the expression become like 4(6a + 5).
Hence, 4(a+5) is the simplified expression.
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Need help ASAP. Question in photo. Will mark brainliest if correct
Answers
Answer:
C
Step-by-step explanation:
I did this question today, pls lmk if u get it right
how do i answer this question
Answers
The constant of variation for the given data is 1/4.
What is the constant of proportionality?If the corresponding elements of two sequences of numbers, frequently experimental data, have a constant ratio, known as the coefficient of proportionality or proportionality constant, then the two sequences of numbers are proportional or directly proportional.
Given that the data in the table is,
x f(x)
-8 -2
-4 -1
0 0
4 1
8 2
The constant of proportionality will be calculated as,
F(x) = kx
-2 = k x -8
k = -2 / -8
k = 1 / 4
Here, the proportionality constant will be 1/4.
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PLS FIND X ASAP PLS PLS
Answers
Answer:
1- the figure doesn't provide enough information from what I'm aware of
2- x= 17.78
3- x=12
4- x=19
Step-by-step explanation: