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Crank
3 years ago
6

To save money, you put $200 in your bank account each week. After saving for 4 weeks, you have $1,700$ dollars in your account.

Which equation models your savings account balance at the end of each week?
Mathematics
2 answers:
Helen [10]3 years ago
5 0

The given question is incomplete, here is a complete question.

To save money, you put $200 in your bank account each week. After saving for 4 weeks, you have $1,700$ dollars in your account. Which equation models your savings account balance at the end of each week?

(1) y – 4 = 200(x – 1,700)

(2) y – 200 = 1,700(x – 4)

(3) y – 1,700 = 200(x – 4)

(4) y – 1,700 = 200(x + 4)

Answer : The correct option is, (3) y – 1,700 = 200(x – 4)

Step-by-step explanation :

This question is solved by Arithmetic progression.

Given: To save money, you put $200 in your bank account each week.  That means,

⇒ d = 200

After saving for 4 weeks, you have $1,700 dollars in your account.  That means,

⇒ a_4=1700

Let a_1 be the initial amount in the bank.

then,

a_4=a_1+3d\\\\\Rightarrow\ a_1=a_4-3d

Now, Let 'x' be the number of weeks and 'y' be the savings account balance at the end of each week.

Then by Arithmetic Progression,

y=a_1+d(x-1)\\\\\Rightarrow\ y=(a_4-3d)+d(x-1)\\\\\Rightarrow\ y=a_4-3d+dx-d\\\\\Rightarrow\ y-a_4=dx-4d\\\\\Rightarrow\ y-a_4=d(x-4)

Now substitute the values of d = 200 and a_4=1700 in above equation we get:

y-1700=200(x-4)

Thus, the equation models your savings account balance at the end of each week is, y-1700=200(x-4)

kozerog [31]3 years ago
4 0
Let's say the savings in your account are given by $V, the number of weeks by n and the starting balance by $x:
V = x + 200n

Now if after saving for 4 weeks you have $1700 in your account, then:
1700 = x + 200*4
1700 = x + 800
x = 900, thus your starting balance is $900

Using this information we can now write up the general equation for the savings at the end of each week:
V = 900 + 200n
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1. Find the digit that makes 3,71_ divisible by 9.
KiRa [710]

<u>QUESTION 1</u>

We want to find the digit that should fill the  blank space to make




3,71-




divisible by 9.




If a number is divisible by 9 then the sum of the digits should be a multiple of 9.





The sum of the given digits is,




3 + 7 + 1 = 11




Since


11 + 7 = 18


which is a multiple of 9.





This means that


3,717


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The correct answer is B



<u>QUESTION 2</u>



The factors of the number 30 are all the numbers that divides 30 exactly without a remainder.





These numbers are ;



1,2,3,5,6,10,15,30




The correct answer is A.




<u>QUESTION 3.</u>

We want to find the prime factorization of the number 168.



The prime numbers that are factors of 168 are



2,3 \: and \: 7




We can write 168 as the product of these three prime numbers to obtain,



168={2}^{3}\times 3\times7





We can also use the factor tree as shown in the attachment to write the prime factorization of 168 as



168 ={2}^{3}\times 3\times7




The correct answer is B.





QUESTION 4.



We want to find the greatest common factor of


140\:\:and\:\:180



We need to express each of these numbers as a product of prime factors.



The prime factorization of 140 is




140={2}^{2}\times 5\times7.



The prime factorization of 180 is



180={2}^{2} \times{3}^{2}\times5.




The greatest common factor is the product of the least degree of each common factor.




GCF={2}^{2}\times5




GCF=20


The correct answer is A.




QUESTION 5.



We want to find the greatest common factor of


15,30\: and\:60.



We need to first find the prime factorization of each number.




The prime factorization of 15 is



15=3\times5.



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30=2\times 3\times 5.



The prime factorization of 60 is




60={2}^{2}\times3 \times5





The greatest common factor of these three numbers is the product of the factors with the least degree that is common to them.





GCF=3 \times5





GCF=15



The correct answer is C.




QUESTION 6



We want to determine which of the given fractions is equivalent to


\frac{3}{8}.



We must therefore simplify each option,





A.\: \: \frac{15}{32}=\frac{15}{32}





B.\:\:\frac{12}{32}=\frac{4\times 3}{4\times8}=\frac{3}{8}




C.\:\:\:\:\frac{12}{24}=\frac{12\times1}{12\times 2}=\frac{1}{2}






D.\:\:\frac{9}{32}=\frac{9}{32}




The simplification shows that


\frac{12}{32}\equiv \frac{3}{8}




The correct answer is  B.






QUESTION 7.




We want to express


\frac{10}{22}


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We just have to cancel out common factors as follows.




\frac{10}{22}=\frac{2\times5}{2 \times11}



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\frac{10}{22}=\frac{5}{11}




The correct answer is C.






QUESTION 8.




We were given that Justin visited 25 of the50 states.

The question requires that we express 25 as a fraction of 50.




This will give us


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\frac{25}{50}=\frac{1}{2}




The correct answer is C.





QUESTION 9.





We want to write


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We need to multiply the 2 by the denominator which is 8 and add the product to 5 and then express the result over 8.




This gives us,



2 \frac{5}{8}=\frac{2\times8+5}{8}



this implies that,


2\frac{5}{8}=\frac{16+5}{8}





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QUESTION 10




See attachment






QUESTION 11



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QUESTION 12


We want to find the LCM of 30 and 46 using prime factorization.


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QUESTION 13

We want to find the least common multiple of 3,6 and 7.


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LCM=2\times3 \times7


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The correct answer is B.


See attachment for continuation.






6 0
3 years ago
Read 2 more answers
2/3(3/5x+9)=1/2(2x+40)<br><br> I posted this before but w/o the 1/2 on accident
andriy [413]
The answer and working are shown in the photo below
5 0
2 years ago
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