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3 years ago

100 points, very easy anwser asap

Mathematics

1 answer:

levacccp [35]3 years ago

3 0

Answer:

An Arc

Step-by-step explanation:

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The 13th term of a geometric sequence is 16, 384 and the first term is 4. What is the common ratio?

AleksAgata [21]

Answer:

$\large \boxed{2}$

Step-by-step explanation:

The formula for the nth term of a geometric sequence is

aₙ = a₁rⁿ⁻¹

In your geometric sequence, a₁ = 4 and a₁₃ = 16 384.

$\begin{array}{rcl}16384 & = & 4r^{(13 - 1)}}\\16384 & = & 4r^{12}\\4096 & = & r^{12}\\3.6124 & = & 12 \log r\\0.30102 & = & \log r\\r & = & 10^{0.30102}\\ & = & \mathbf{2}\\\end{array}\\\text{The common ratio is $\large \boxed{\mathbf{2}}$}$

Check:

$\begin{array}{rcl}16384 & = & 4(2)^{12}\\16384 & = & 4(4096)\\16384 & = & 16384\\\end{array}$

It checks.

7 0

3 years ago

Simplify the equation.

Phoenix [80]

Answer:

C. $3j^{3}l$

Step-by-step explanation:

1) First you cancel $k^{2}$ because they are completely the same. then you take out the constants and simply.

2)You then have to use the Quotient Rule:

$\frac{x^{a} }{x^{b} } =x^{a - b}$

You should have ...

$3j^{6-3} l^{5-4}$

3) Simplify 6 − 3 to 3.

$3j^{3} l^{1}$

4) Simplify 5 − 4 to 1.

5) Use Rule of One: $x^{1} =x$

Answer is !!!

$3j^{3} l$

5 0

3 years ago

You deposit $20,000 in an account that pays 7.77% annual interest. Find the balance after 2 years when the interest is compounde

Mademuasel [1]

Answer:

The account balance after 24 months will be $23,092.70

Step-by-step explanation:

Given data

P= $20,000

r= 7.77%= 0.077

t= 2 years

A= ?

n= 24

The compound interest formula is

$A= P(1+t)^t$

Inserting our values to solve for A we have

$A= 20000(1+\frac{0.077}{24} )^2^*^2^4\\\\A= 20000(1+0.003 )^2^*^2^4\\\\A= 20000(1.003 )^2^*^2^4\\\A= 20000(1.003 )^4^8\\\A= 20000*1.15463517818\\\A= 23092.7035636\\\A= 23,092.70$