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Cerrena [4.2K]
3 years ago
15

Find the amount financed and the finance charge in dollars for the following problem. Choose the right answers. Joshua Bennett p

urchased a television for $245.95 with 40.25% down. He will make 6 payments of $25.83 each. What is the total amount paid (will include down payment) and finance charge in dollars? The total paid (including down payment) is $. The finance charge in dollars is $.
Mathematics
2 answers:
shusha [124]3 years ago
7 0
Total paid including down payment
245.95×0.4025+25.83×6
=253.97
finance charge
253.97−245.95
=8.02
Tpy6a [65]3 years ago
4 0
25.83 x 6 = 154.98

If the purchased television is 245.95 and you make 6 payments that total in
154.98 dollars, the down payment will be what is left.

40.25% = 0.4025 

245.95 x 0.4025 = 98.99 

98.99 dollars off the original price.

245.95 - 98.99 = 146.96

The down payment made the total come to 146.96. 
146.96 + 154.98 = 301.94

The total amount paid is 301.94 including charge and down payment.
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A new movie is released each year for 8 years to go along with a popular book series. Each movie is 5 minutes longer than the la
Georgia [21]

Answer:

The total length of all 8 movies is 740 minutes

Step-by-step explanation:

* Lets revise the arithmetic series

- In the arithmetic series there is a constant difference between  

 each two consecutive numbers  

- Ex:  

# 2 , 5 , 8 , 11 , ………………………. (constant difference is 3)

# 5 , 10 , 15 , 20 , ………………………… (constant difference is 5)

# 12 , 10 , 8 , 6 , …………………………… (constant difference is -2)

* General term (nth term) of an Arithmetic series:  

- If the first term is a and the common diffidence is d, then

 U1 = a , U2 = a + d , U3 = a + 2d , U4 = a + 3d , U5 = a + 4d  

 So the nth term is Un = a + (n – 1)d, where n is the position of the

  number in the series

- The formula to find the sum of n terms is

  Sn = n/2 [a + l] , where l is the last term in the series

* Lets solve the problem

- A new movie is released each year for 8 years to go along with a

 popular book series

∴ n = 8

- Each movie is 5 minutes longer than the last

∴ d = 5

- The first movie is 75 minutes long

∴ a = 75

- To find the total length of all 8 movies find the sum of the 8 terms

∵ Un = a + (n - 1)d

∵ The last term l is u8

∵ a = 75 , d = 5 , n = 8

∴ l = 75 + (8 - 1)(5) = 75 + 7(5) = 75 + 35 = 110

∴ l = 110

∵ Sn = n/2 [a + l]

∴ S8 = 8/2 [75 + 110] = 4 [185] = 740 minutes

* The total length of all 8 movies is 740 minutes

7 0
3 years ago
Please solve these questions on the topic of exponents
galina1969 [7]

Answer/Step-by-step explanation:

Recall: x^{-a} = \frac{1}{x^a}

a. 4^{-3} = \frac{1}{4^3} = \frac{1}{64}

b. 13^{-2} = \frac{1}{13^2} = \frac{1}{169}

c. (-3)^{-2} = \frac{1}{-3^2} = \frac{1}{9}

6 0
3 years ago
Evaluate<br> 2^9 over 2^5
s2008m [1.1K]

Answer:

2^4  or 16

Step-by-step explanation:

We know that a^b / a^c = a^(b-c)

2^9 / 2^5

2^(9-5)

2^4  or 16

8 0
3 years ago
Read 2 more answers
Pls help I’m giving points
Sedaia [141]

Answer:

27/16

Step-by-step explanation:

this is because i added up 1/2 and 3/4 first, which gave me 1 1/4, and i converted this into just a single fraction without a whole number to make the adding easier for me which was 5/4.  

(a whole number is the amount of times the bottom number of the fraction went into the top number so-... 4 goes into 5 one time which gives you a whole number of 1 and the fraction of 1/4. the 1 being left from the five.)

then i added 5/4 and 7/16 to get 1 11/16.  which then converted into 27/16

5 0
3 years ago
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