Help...........................plzplzplzplz

You are planning on purchasing a new car and have your eye on a specific model. You know that new car prices are projected to in

olya-2409 [2.1K]

Answer:

A

Step-by-step explanation:

Cost of the car in "n" years=25000*(1+0.05)^n

Cost of the car in 2 years=25000*(1+0.05)^2=25000*(1.05)^2=27562.5

5 0

3 years ago

Determine formula of the nth term 2, 6, 12 20 30,42

nalin [4]

Check the forward differences of the sequence.

If $\{a_n\} = \{2,6,12,20,30,42,\ldots\}$ , then let $\{b_n\}$ be the sequence of first-order differences of $\{a_n\}$ . That is, for n ≥ 1,

$b_n = a_{n+1} - a_n$

so that $\{b_n\} = \{4, 6, 8, 10, 12, \ldots\}$ .

Let $\{c_n\}$ be the sequence of differences of $\{b_n\}$ ,

$c_n = b_{n+1} - b_n$

and we see that this is a constant sequence, $\{c_n\} = \{2, 2, 2, 2, \ldots\}$ . In other words, $\{b_n\}$ is an arithmetic sequence with common difference between terms of 2. That is,

$2 = b_{n+1} - b_n \implies b_{n+1} = b_n + 2$

and we can solve for $b_n$ in terms of $b_1=4$ :

$b_{n+1} = b_n + 2$

$b_{n+1} = (b_{n-1}+2) + 2 = b_{n-1} + 2\times2$

$b_{n+1} = (b_{n-2}+2) + 2\times2 = b_{n-2} + 3\times2$

and so on down to

$b_{n+1} = b_1 + 2n \implies b_{n+1} = 2n + 4 \implies b_n = 2(n-1)+4 = 2(n + 1)$

We solve for $a_n$ in the same way.

$2(n+1) = a_{n+1} - a_n \implies a_{n+1} = a_n + 2(n + 1)$

Then

$a_{n+1} = (a_{n-1} + 2n) + 2(n+1) \\ ~~~~~~~= a_{n-1} + 2 ((n+1) + n)$

$a_{n+1} = (a_{n-2} + 2(n-1)) + 2((n+1)+n) \\ ~~~~~~~ = a_{n-2} + 2 ((n+1) + n + (n-1))$

$a_{n+1} = (a_{n-3} + 2(n-2)) + 2((n+1)+n+(n-1)) \\ ~~~~~~~= a_{n-3} + 2 ((n+1) + n + (n-1) + (n-2))$

and so on down to

$a_{n+1} = a_1 + 2 \displaystyle \sum_{k=2}^{n+1} k = 2 + 2 \times \frac{n(n+3)}2$

$\implies a_{n+1} = n^2 + 3n + 2 \implies \boxed{a_n = n^2 + n}$

6 0

2 years ago

Plzz Help me!! Have to have this submitted by tonight!

Aliun [14]

N is the number of the Tshirt
c is the cost
the relationship between the cost and the number of the Tshirt is:
12n+3=c
so if 1 is the number of the tshirt so the cost is
12.1+3=12+3=15
if n=2 c=12.2+3=24+3=27
and etc.....

7 0

3 years ago

Please help me... I will mark as BRAINLIEST!!!!

defon

Answer:

I would say that by the 20th figure, there would be more than 400 small triangles by the 20th figure.

Step-by-step explanation:

Based on figure 1 and 2, I'm guessing the ratio is 2.

Figure 4: 32

Figure 5: 64

Figure 6: 128

Figure 7: 256

Figure 8: 512

Figure 9: 1,024

6 0

3 years ago

Kesha feeds her dog, Tiny, 8 ounces of dog food each day. How much dog food, in pounds, does she feed Tiny in 20 days?

weeeeeb [17]

8 ounces* 20 days= 160 ounces
160 ounces divided by 16 ounces in a pound= 10 pounds
She will have fed tiny 10 pounds of dog food in 20 days.

6 0

3 years ago

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