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2 years ago

If f(x)= 3x-8, and f(x)=-17, find x.

Mathematics

1 answer:

Anni [7]2 years ago

3 0

Answer:

f(x)= 3x-8,

f(x)=-17

-17 = 3x -8

3x= -17+8

3x = -9

x =-3

Step-by-step explanation:

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a person invest in 9000 in a bank. the bank pays 5% interest compounded semi annually. to the nearest tenth of a year, how long

QveST [7]

Answer:

10.1 years.

Step-by-step explanation:

It is given that,

Principal = 9000

Rate of interest = 5%

No. of times interest compounded = 2 times in an year

Amount after certain time = 14800

The formula for amount:

$A=P(1+\frac{r}{n})^{nt}$

where, P is principal, r is rate of interest, n is no. of times interest compounded in an year and t is time in years.

Substitute the given values in the above formula.

$14800=9000(1+\frac{0.05}{2})^{2t}$

$\frac{14800}{9000}=(1+0.025)^{2t}$

$1.644=(1.025)^{2t}$

Taking log both sides.

$\log(1.644)=\log(1.025)^{2t}$

$\log(1.644)=2t\log(1.025)$ $[\because \log a^b=b\log a]$

$\frac{\log(1.644)}{2\log(1.025)}=t$

$t=10.066$

$t=10.1$

Therefore, the required time is 10.1 years.

3 0

3 years ago

Given two terms in artimetic sequence find the common difference, the 52 term, and the explicit formula. A15=139 and A30=259

quester [9]

139, 149, 159, 169, 179, 189, 199, 209, 219, 229, 239, 249, 259.

The common difference is 13.

Let n = 52

Let d = common difference

a_52 = 139 + (52 - 1)(13)

a_52 = 139 + (51)(13)

a_52 = 139 + 663

a_52 = 802

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3 years ago

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3 years ago

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3 years ago

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m_a_m_a [10]

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3 years ago

If f(x)= 3x-8, and f(x)=-17, find x.​

If f(x)= 3x-8, and f(x)=-17, find x.