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VARVARA [1.3K]
3 years ago
14

Edna decided to purchase a $15,000 MSRP vehicle at a 5% interest rate for 3 years. The dealership offered her a $1500 cash-back

incentive, which she accepted. If she takes all these factors into consideration, what monthly payment amount can she expect?

Mathematics
1 answer:
Ad libitum [116K]3 years ago
5 0
P = A/D, Where P = Monthly payments, A = Total amount owed = 15,000-1,500 = $13,500,

D= \frac{( 1+ \frac{r}{12} )^{nt} -1}{ \frac{r}{12} (1+  \frac{r}{12}) ^{nt} }

r = 5% = 0.05, nt = 12*3 = 36

Therefore,
D = \frac{(1+ 0.05/12)^{36}-1 }{(0.05/12)(1+0.05/12)^{36} } = 33.37

Then,

P = 13,500/44.37 = $404.61
The correct answer is c.
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Find an explicit rule for the nth term of the sequence.The second and fifth terms of a geometric sequence are 18 and 144, respec
vova2212 [387]

Given:

second term = 18

fifth term = 144

The nth term of a geometric sequence is:

\begin{gathered} a_n\text{ = ar}^{n-1} \\ Where\text{ a is the first term} \\ r\text{ is the common ratio} \end{gathered}

Hence, we have:

\begin{gathered} \text{ar}^{2-1}\text{ = 18} \\ ar\text{ = 18} \\  \\ ar^{5-1}=\text{ 144} \\ ar^4\text{ =144} \end{gathered}

Divide the expression for the fifth term by the expression for the second term:

\begin{gathered} \frac{ar^4}{ar}\text{ = }\frac{144}{18} \\ r^3\text{ = }\frac{144}{18} \\ r\text{ = 2} \end{gathered}

Substituting the value of r into any of the expression:

\begin{gathered} ar\text{ =  18} \\ a\text{ }\times\text{ 2 =  18} \\ Divide\text{ both sides by 2} \\ \frac{2a}{2}\text{ =}\frac{18}{2} \\ a\text{ = 9} \end{gathered}

Hence, the explicit rule for the sequence is:

a_n\text{ = 9\lparen2\rparen}^{n-1}

5 0
1 year ago
If |x|+10=1, then what does x equal
Pie

Answer; there is literally no solution. it has to be a negative number.

6 0
3 years ago
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Find the mean absolute deviation (MAD) of the data set of 0.4, 0.2, 0.4, 0.6
kupik [55]

Answer:

Assuming data is from population, 0.1

Step-by-step explanation:

7 0
3 years ago
According to the 2010 U.S. Census, there are approximately 8 million people living in Virginia. This is 2.8 million less than 4
grandymaker [24]

Solution: We are given that the population of Virginia is 8 million.

Let x be the population of Nevada.

We are given population of Virginia is 2.8 million less than 4 times the population of Nevada.

\therefore 4x-2.8=8

      4x=8+2.8

      4x=10.8

      x=\frac{10.8}{4} =2.7

The first step is to on both sides.

add 2.8

The second step is to on both sides.

divide 4

The population of Nevada is million.

2.7

8 0
3 years ago
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In a survey, 200 people were asked if they smoke and whether or not they exercise regularly (more than twice a week). The result
siniylev [52]

Answer/Step-by-step explanation:

a. % of people who smoke = no. of people who smoke ÷ total no. of people surveyed × 100

Total no. of people who smoke is given = 4 + 36 = 40

Total people surveyed = 200

% of people who smoke = \frac{40}{200}*100 = \frac{40}{2}*1 = 20 percent

a. % of people who do not exercise regularly = no. of people who do not exercise regularly ÷ total no. of people surveyed × 100

Total no. of people who do not exercise regularly = 36 + 134 = 170

Total people surveyed = 200

% of people who smoke = \frac{170}{200}*100 = \frac{170}{2}*1 = 85percent

8 0
3 years ago
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