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Lesechka [4]
2 years ago
8

Find the next two terms in this sequence. 1, -3, 9, -27, 81, [ ? ], [ ? ]

Mathematics
1 answer:
Katyanochek1 [597]2 years ago
3 0

Answer:

the answers are -243 and 729

Step-by-step explanation:

you multiply each by -3. 1x-3 gives you -3. -3x-3 gives you 9. -3x9 gives you -27. -27x-3 gives you 81. 81x-3 gives you -243 and -243x-3 gives you 729. i hope this helps.

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(sin x)(tan x cos x - cot x cos x) = 1 - 2 cos2x
Aliun [14]
As

\tan x=\dfrac{\sin x}{\cos x}
\cot x=\dfrac{\cos x}{\sin x}

we have

\sin x(\tan x\cos x-\cot x\cos x)=\sin x\left(\sin x-\dfrac{\cos^2x}{\sin x}\right)=\sin^2x-\cos^2x

Recalling that \cos2x=\cos^2x-\sin^2x, we end up with

-\cos2x=1-2\cos2x
1=\cos2x
\implies2x=2n\pi

(where n is any integer)

\implies x=n\pi
5 0
3 years ago
Teri invested $1500 in an account with an interest rate of 2.25% compounded continuously. How long will it take for Teri's accou
tester [92]

It will take 54 days for Teri's account to earn an amount of $5000.

<h3>What is compound interest?</h3>

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

It occurs when interest is reinvested, or added to the loaned capital rather than paid out, or when the borrower is required to pay it, so that interest is generated the next period on the principal amount plus any accumulated interest. In finance and economics, compound interest is common.

It is given by formula

A = p*e^{r*t}

where:

A is final amount

p is principal amount

r is rate of interest and

t, is time period

Given: A= $5000, p=$1500, r=2.25% = 0.0225

To find: time period to get compounded amount

5000=1500×e^{0.0225*t}

e^{0.0225t} = \frac{10}{3}

0.0225t = ㏑ (\frac{10}{3})

t = 53.5099 ≈ 54 days  

Learn more about compound interest here:

brainly.com/question/3989769

#SPJ1

7 0
1 year ago
BRAINLEIST!!!! You have a credit card with a balance of $754.43 at a 13.6% APR. You have $300.00 available each month to save or
Alex
We are given
P = $754.43
r = 13.6% annual

for a.
A = 150
for b.
A = 300

First, change the interest into effective monthly
i = (1 + 0.136/12)^12 - 1
Solve for i

Next, use the general formula
A = P i ( 1 + i)^n / (1 + 1)^n - 1
Subsitute P, i, and A for a and b.
Then, solve for n for a and b.
6 0
3 years ago
Order the number from greatest to least <br>3 1/3,3.34,300%​
Liula [17]

Answer:

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6 0
3 years ago
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Mode would be sets that are the same
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