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N76 [4]
3 years ago
8

64, –48, 36, –27, ...

Mathematics
1 answer:
frozen [14]3 years ago
4 0
The only formula that can be used to describe the sequence is definitely the third one f(x + 1) = -3/4 f(x). So count like that64* -\frac{3}{4}  = -48
48* -\frac{3}{4} = 36 and so on. You can check others by yourself to check if I'm right or not.
You might be interested in
Kristen gets home from work at 5:34 p.m. Kristen's dinner is ready at 5:51 p.m.
bazaltina [42]

Answer:

1,020 seconds

Step-by-step explanation:

we know that

To find out how many seconds after Kristen gets home is her dinner ready, subtract the time Kristen gets home from the time Kristen's dinner is ready

so

5:51 p.m-5:34 p.m=17 min

Remember that

1\ min=60\ sec

Convert minutes to seconds

17\ min=17(60)=1,020\ sec

7 0
3 years ago
How much money should be deposited today in an account that earns 7% compounded semiannually so that it will accumulate to $11,0
Alona [7]

Answer:

$8950.37

Step-by-step explanation:

Use the compound amount formula A = P(1 + r/n)^(nt), in which P is the initial amount of money (the principal), r is the interest rate as a decimal fraction, n is the number of times per year that interest is compounded, and t is the number of years.

Here we have A = $11,000, n = 2, r = 0.07 and t = 3, and so:

$11,000 = P(1 + 0.07/2)^(2*3), or

$11,000 = P (1.035)^6

                                           $11,000        $11,000

Solving for P, we get P = ---------------- = ------------- = $8950.37

                                            1.035^6          1.229

Depositing $8950.37 with terms as follows will result in an accumulation of $11,000 after 3 years.

7 0
3 years ago
- If f ( x ) = x² + 2x - 1 and g ( x ) = 3x - 2 , then verify the following :
RideAnS [48]

Step-by-step explanation:

Hey there!

Given;

f ( x ) = x² + 2x - 1

g ( x ) = 3x - 2

To verify:

( \frac{f}{g} )(2) =  \frac{f(2)}{g(2)}

LHS:

(\frac{f}{g} )(x) =  \frac{ {x}^{2}  + 2x - 1}{3x - 2}

~ Insert "2" instead of "x".

(\frac{f}{g} )(2) =  \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2}

Simplify it;

\frac{f}{g} (2) =  \frac{4 + 4 - 1}{6 - 2}

Therefore; (f/g)(2) = 7/4.

RHS:

\frac{f(x)}{g(x)}  =  \frac{ {x}^{2}  + 2x - 1}{3x - 2}

~Insert "2" instead of"x".

\frac{f(2)}{g(2)}  =  \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2}

Simplify it.

\frac{f(2)}{g(2)}  =  \frac{4 + 4 - 1}{6 - 2}

Therefore, f(2)/g(2) = 7/4.

Since (f/g)(2) = f(2)/g(2) = 7/4.

<em><u>Proved!</u></em>

<u>Hope </u><u>it </u><u>helps</u><u>!</u>

3 0
3 years ago
Ed and carol are jogging around a circular track in the park. the diameter of the track is 0.8 miles. find, to the nearest mile,
Katen [24]
Pi times 0.8 = 2.513274123 ( one trip )
2 times 2.513274123 = 5.02654826

So the answer is 5.02654826 and you’ll round it to 5 miles
5 0
3 years ago
Sam owes the bank a little less then $40 what could be his balance
bija089 [108]
D 39.25 which isn't far from 40

8 0
3 years ago
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