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3 years ago

Solve for d 20(d − 4) + 4d ≤ 8

Mathematics

2 answers:

tatiyna3 years ago

4 0

Answer:

d≤11/3

Step-by-step explanation:

hope this is helpful!!

Vlada [557]3 years ago

4 0

That’s the value of d

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Felicia invested $25,000 into an account earning 3% interest compounded annually. She makes no other deposits into the account a

rewona [7]

The formula is
A=p (1+r)^t
A future value?
P present value 25000
R interest rate 0.03
T time 9 years
A=25,000×(1+0.03)^(9)
A=32,619.33

7 0

4 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

Elijah's puppy weighs 35 ounces if he weighed 19 ounces at the last visit to the veterinarian's office what is the percent incre

anastassius [24]

Answer:54.29%

Step-by-step explanation:

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3 years ago

My new Labrador puppy weighs 3 pounds more than 0.25 of his mom's weight His mom weighs 60 pounds what is kaiser weight?

Delicious77 [7]

Ok, first you have to know that 0.25 is one fourth. Finding one fourth of 60 is the first step. 1/4 of 60 is 15. Now, add 3 to 15, and you have your answer! The answer is 18 pounds.

7 0

3 years ago

Read 2 more answers

Read and solve please thank you!

MariettaO [177]

Answer: 3inch cubed

Step-by-step explanation:

.5•.5•.5= .125

.125•24=3

6 0

3 years ago

Read 2 more answers