Answers
Hey there! Let's answer each part of this question in order.
Part aIf Pedro withdrew [tex]\$35[/tex] per week, his change in balance could be represented as [tex]-35x[/tex] since [tex]x[/tex] is the number of weeks. Add this to his initial balance of [tex]\$710[/tex] to get the first answer:
[tex]\huge\boxed{710-35x}[/tex]
Part bThe same concepts can be applied to solve the next part. Maria started off with [tex]\$570[/tex] in her account and withdrew [tex]\$25[/tex] each week. Apply the same process from the first part to get the second answer:
[tex]\huge\boxed{570-25x}[/tex]
Part cWrite an equationFor the last part, we need to find the value of [tex]x[/tex] that makes the expressions we made in the first two parts equal to each other, so start by making them into an equation.
[tex]\huge\boxed{710-35x=570-25x}[/tex]
Solve the equationNow we need to solve this equation. Start by bringing the constants to the right and the variables to the left.
Keep in mind that when you move a term to the other side of the equation, you need to change its sign, as you are adding or subtracting the same number from both sides of the equation.
[tex]\begin{aligned}710-35x&=570-25x\\-35x&=570-25x-710\\-35x+25x&=570-710\end{aligned}[/tex]
Now, combine the like terms with addition and subtraction.
[tex]\begin{aligned}-35x+25x&=570-710\\-10x&=-140\end{aligned}[/tex]
Finally, divide both sides of the equation by [tex]-10[/tex] to fully isolate the variable and find the final answer.
[tex]\begin{aligned}-10x&=-140\\x&=14\ \text{(weeks)}\end{aligned}[/tex]
[tex]\huge\boxed{14\ \text{weeks}}[/tex]
Check your answerWe can also check our answer by substituting the final answer back into each expression, simplifying, and making sure the answers are equal.
[tex]\begin{array}{l|l}710-35x&570-25x\\710-35*14&570-25*14\\710-490&570-350\\220&220\end{array}[/tex]
Since the expressions are equivalent, we know that Pedro's balance is the same as Maria's balance after [tex]14[/tex] weeks.
Related Questions
Samuel wants to buy a snake for $288 and the pet store owner wants him to make 6 equal payments of $49. 6 StartLongDivisionSymbol 288 EndLongDivisionSymbol minus 240 = 48. 48 minus 48 to get a remainder of 0 and a quotient of 49. What error did the pet store owner make? There is a multiplication error. The payment should be $48 per month. There is a multiplication error. The payment should be $58 per month. 6 goes into 288 forty-six times. The answer is $46. 6 goes into 48 nine times. $49 is correct.
Answers
Answer:
There is a multiplication error. The payment should be $48 per month.
Step-by-step explanation:
Answer:
There is a multiplication error. The payment should be $48 per month.
Step-by-step explanation:
Help plz will get brainliest
Answers
Answer:
4 i think but im having mixed feelings
Step-by-step explanation:
6*60=360
360/9=4
A gallon of milk costs $4.20. What is the cost per quart? (1 gallon = 4 quarts)
Answers
Answer:
$1.05
Step-by-step explanation:
if you do 4.20 divided by 4 you get 1.05 and to see if its right you multiply 1.05 by 4 and you get 4.20.
Select the correct answer. How did the Battle of Saratoga affect the American Revolution? A. French troops joined the war on behalf of the colonists. B. The Hessian mercenaries were eliminated from the war. C. Continental soldiers were bribed to compromise the war. D. Washington withdrew from the war after another loss. E. About 10,000 Continental soldiers became prisoners of war.
Answers
Answer:
A. French troops joined the war on behalf of the colonists.
Step-by-step explanation:
The Battle of Saratoga is often seen as the turning point of the war. It renewed the morale of the American public and convinced potential foreign partners, such as France, that America could win the war and that it might be in their best interests to send aid.
Answer:
Its A
Step-by-step explanation:
5 over 6 divided by 3 over 7 is... bc it’s asking what’s the value?
Answers
Apply the fraction rule
5/6 * 7/3
Multiply
5*7/6*3
Answer
=35/18 or 1 17/18
Answer:
5/14Step-by-step explanation:
5/6×3/7 =5/2×1/7=5/14need an answer please asap!
Answers
Answer:
Step-by-step explanation:
(A). The quadrilateral ABCD is a trapezoid.
(B). A = 36 units²
Emily purchased 5 packages of bottled water for $14.95. Each package of bottled water cost the same amount.What is the cost per package of bottled water?
Answers
Answer:
$2.9
Step-by-step explanation:
Given the following data;
Total cost of package = $14.50
Number of package = 5
To find the cost of each package;
[tex] Cost \; per \; package = \frac {Total \; cost \; of \; package}{Number \; of \; package} [/tex]
Substituting into the equation, we have;
[tex] Cost \; per \; package = \frac {14.5}{5} [/tex]
Cost per package = $2.9
Therefore, the cost per package of bottled water is $2.9.
A student babysits and charges a flat fee of $4.00 just for travel to the residence and then $6.00 per hour for the evening. a. Write an equation for the relationship between d, the amount of dollars the student can earn in an evening and h, the amount of hours the student babysits.
Answers
Answer:
d = 4 + 6h
Step-by-step explanation:
Given that :
Travel charge = $4 flat fee
Hourly charge = $6 per hour
Amount of dollar student can earn in an evening = d
Amount of hours spent babysitting = h
d = travel charge + (hourly charge * amount of hours)
d = $4 + ($6 * h)
d = 4 + 6h
Jack bought a new boat for $36,000. The value of the boat continuously
depreciates at a rate of 15%. Find the value of the boat after 5 years.
a. $17,005
b. $7,621
c. $7,240
d. $4,140
Answers
Answer:
$15973.4
Step-by-step explanation:
The formula for depreciation is:
a(1 - r)^t
a = Initial value =$36,000
r = depreciation rate = 15% = 0.15
t = time in years = 5 years
The depreciation value = $36000 × (1 - 0.15)⁵
= 36000(0.85)⁵
= $15973.39125
Approximately = $15973.4
The value of the boat is $15,973 after 5 years.
Given that,
New boat cost is (A) $36,000.Depreciation rate is (r) 15%.We need to find the value of boat after (t) 5 years.According to the scenario, computation of the given data are as follows,
Value of boat = [tex]A (1 - r )^{t}[/tex]
By putting the value, we get
Value = [tex]36,000(1 - 0.15)^{5}[/tex]
= [tex]36,000(0.85)^{5}[/tex]
= 36,000 [tex]\times[/tex] 0.4437053125
= $15,973.4 or $15,973
Learn more: https://brainly.com/question/4557688
524800 in scientific notation?
Answers
Answer:
5.248 x 10^5
Step-by-step explanation:
there should be one digit and then however many decimals after. the exponent is positive because the original number is larger than one's digit.
What is the slope of the line of best-fit in the scatterplot below?
A. 9/27
B. 3/7
C. 7/3
D. 27/9
Answers
(19-12)/(6-3) = 7/3
The answer is C
Kristin wants to make 12 ml of an 8% alcohol solution by mixing together a 32% alcohol solution and pure water. How much of each solution must she use?
Answers
Answer:
6% of each
Step-by-step explanation:
I give anwser keys to any kind of questions just comment below so I can help you
Answers
Zoom in if you can’t see
How many 1 cm^2 tiles are required to fill the boundary of a rectangle with area 32 cm^2?
Answers
Answer:
32
Step-by-step explanation:
Area of the rectangular tiles = 32cm²
Area of tiles inside the rectangle = 1m²
Number of tiles inside the triangle = area of rectangle/area if the tikes inside the rectangle= 32cm²/1cm² = 32
Hence 32 1cm² tiles can fill the boundary of the rectangle.
find the simple interest paid
$4500, 9%, 3.5 years
Answers
Step-by-step explanation:
Principle (P) =$4500
Rate(R) =9%
Time(T)=3.5yrs
We know,
SI=P×T×R/100
=4500×3.5×9/100
=$1417.5
what is 2/9 = 4/x+8 i dont get this fraction solving
Answers
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[tex] \frac{2}{9} = \frac{4}{x + 8} \\ [/tex]
[tex] \frac{4}{x + 8} = \frac{2}{9} \\ [/tex]
Inverse both sides
[tex] \frac{x + 8}{4} = \frac{9}{2} \\ [/tex]
Multiply sides by 4
[tex]4 \times \frac{x + 8}{4} = 4 \times \frac{9}{2} \\ [/tex]
[tex]x + 8 = 2 \times 9[/tex]
[tex]x + 8 = 18[/tex]
Subtract sides 8
[tex]x + 8 - 8 = 18 - 8[/tex]
[tex]x = 10[/tex]
Done...
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how do you this problem?
Answers
Answer:
8
Step-by-step explanation:
Answer:
x=11
Step-by-step explanation:
7x+13= 90 should be your equation.
when you solve you should have:
7x+13=90 but you want to start to solve so the first step would be to subract 13 from both sides because your adding 13 you wanna do the opposite of that and the opposite of addition is subtraction.
7x=77 now you wanna divide 7 from both sides
x=11
which of the following expresses the possible number of positive real solutions for the polynomial equation shown below?
[tex]5x^{2} + x ^{2} - 7x + 28[/tex]
Answers
The equation that indicates the number of real solution in the polynomial is presented as follows;
[tex]\left(x^2-\dfrac{14426}{7535} \cdot x +\dfrac{42196}{15933} \right)\cdot \left(x+\dfrac{15933}{7535} \right)\cdot 5 = 0[/tex]
What is a polynomial?A polynomial is an expression that has two or more algebraic terms of the same variables that have different powers.
The specified expression is presented as follows;
5·x³ + x² - 7·x + 28
The polynomial equation can be factored using a graphing calculator to get;
5·x³ + x² - 7·x + 28 = [tex]\left(x^2-\dfrac{14426}{7535} \cdot x +\dfrac{42196}{15933} \right)\cdot \left(x+\dfrac{15933}{7535} \right)\cdot 5[/tex]
When the expression is equated to 0, we get;
[tex]\left(x^2-\dfrac{14426}{7535} \cdot x +\dfrac{42196}{15933} \right)\cdot \left(x+\dfrac{15933}{7535} \right)\cdot 5 = 0[/tex]...(1)
The discriminant of the expression [tex]\left(x^2-\dfrac{14426}{7535} \cdot x +\dfrac{42196}{15933} \right)[/tex] is less than 0, therefore, the expression [tex]\left(x^2-\dfrac{14426}{7535} \cdot x +\dfrac{42196}{15933} \right)[/tex] has no solution
The real solutions found from equation (1) is therefore;
[tex]x=-\dfrac{15933}{7535}[/tex]
There is therefore one solution to the expression
The equation that expresses the number of solutions is therefore;
[tex]\left(x^2-\dfrac{14426}{7535} \cdot x +\dfrac{42196}{15933} \right)\cdot \left(x+\dfrac{15933}{7535} \right)\cdot 5 = 0[/tex]
Learn more about polynomials here:
https://brainly.com/question/29367565
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How to convert 1 euro to php peso?
And can you explain. Advance Thank you
Answers
Answer with Explanation:
Euro is the currency of some countries in the European Union like Germany, France, Greece, Estonia, etc.
Php refers to Philippine peso. This is the currency used in the Philippines.
In order to convert Euro to Php, you have to check the value of 1 Euro in comparison to Php. The value is not stable and it fluctuates depending on the economic situation of the country.
The value of 1 Euro (€1) as of today is ₱57.03 (you can check this online or on the newspaper).
Let's say you want to convert €5 to ₱ . You can do this:
€5 x [tex]\frac{57.03 pesos}{1 Euro}[/tex] = ₱285.15 (therefore, 5 Euros is equivalent to ₱285.15)
Always remember to check the value of one currency to another currency in order to arrive at a correct equivalent.
QUICK SOLVE 2y=x+6 show work !!!
Answers
Answer:
y=0.5x+3
Step-by-step explanation:
Divide both sides by 2 which will give you y=0.5x+3.
There are many ways to solve could you specify, like what in particular do you need it solved for?
Need help urgent!!!!
Answers
What is the answer??? Only if you know please i will report you no games
Answers
Answer:
the answer is a. it has to be more than 13 and less than 19
Rewrite in simplest terms: 4(-5u+3)-4(8u-1)4(−5u+3)−4(8u−1)
Answers
Answer:
640u
2
−492u+55
Step-by-step explanation:
notsure
Which pair of angles is supplementary?
A) ∠RXZ and ∠YXZ
B) ∠PXQ and ∠RXS
C) ∠YZX and ∠UZT
D) ∠WZX and ∠XYZ
Answers
Answer:
A) <RXZ and <YXZ
Step-by-step explanation:
I just took the test
Answer:
its a
Step-by-step explanation:
Using the picture what is the equation of the line in point slope form?*
Answers
Answer:
y=2/5(x+5)-3
Step-by-step explanation:
my work is attached
what is the solution set to three parallel lines
Answers
Answer:
null
Step-by-step explanation:
they never intersect, cuz they are parallel
Answer:
lebron james to the 2nd power.
Step-by-step explanation:
Given the graph of the function f(x) below, what happens to f(x) when x is a very small positive number?
F(x) is a negative number with a large absolute value
F(x) is a negatice number with a small absolute value
F(x) is a very small positive number
F(x) is a very large positive number
Answers
Using function concepts, it is found that what happens to f(x) when x is a very small positive number is that:
F(x) is a negative number with a large absolute value.
What is the limit of the function as x goes to 0 by the right?F(x) goes to negative infinity, that is, when x is a very small positive number, F(x) is a negative number with a large absolute value.
More can be learned about function concepts at https://brainly.com/question/25537936
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Answer:
F(x) is a negative number with a large absolute value.
Step-by-step explanation:
given f(x) = 4+1 , describe how the graph of g compares with compares with the graph of f?
Answers
I think you wrote an incomplete question. With a little research, I was able to find a question similar to you which is attached below. So, I would solve your question based on the question attached below, which anyways would clear your concept.
Answer:
[tex]g(x)[/tex] is the graph of [tex]f(x)[/tex] translated left [tex]3[/tex] units. Also, the comparison graph is attached below.
Step-by-step explanation:
Considering the complete question attached below
Given the function
[tex]f\left(x\right)\:=\:4x+1[/tex]
As for [tex]g(x)=f(x-h)[/tex], the graph of [tex]g(x)[/tex] is the graph of [tex]f(x)[/tex] translated right h units when '[tex]h[/tex]' is greater than zero, and left | [tex]h[/tex] | units when h is lesser than zero.
so it is clear if
[tex]g(x)=4(x+3)+1[/tex] and [tex]f\left(x\right)\:=\:4x+1[/tex], then [tex]g(x) = f(x+3)[/tex].
Hence, [tex]h = -4[/tex] ( lesser than zero i.e. h < 0).
Therefore, [tex]g(x)[/tex] is the graph of [tex]f(x)[/tex] translated left [tex]3[/tex] units. Also, the comparison graph is attached below.
Somebody please help..I really need it..please I’ve put this question over and over.. please don’t “answer” it and put advice or random answers if you are gonna answer it please actually answer it..please I really need help with this :(
Answers
9514 1404 393
Answer:
1: 208
10: 296
30: 649
Step-by-step explanation:
A scientific or graphing calculator can compute these values for you. A spreadsheet works well, too.
please help me ;-; Evaluate the following exponentials at the given values
Given f(x)=5^x-3, find f(5)
Answers
Answer:
Putting x=5 in [tex]f(x)=\{5^x\}-3[/tex] we get f(5)=3122
Step-by-step explanation:
We need to evaluate [tex]f(x)=\{5^x\}-3[/tex] when f(5)
Finding f(5) we need to put x=5
[tex]f(x)=\{5^x\}-3\\x=5\\f(5)=\{5^5\}-3\\f(5)=3125-3\\f(5)=3122[/tex]
So, f(5)=3122
Putting x=5 in [tex]f(x)=\{5^x\}-3[/tex] we get f(5)=3122