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3 years ago

Invests 5000 dollars. Pays 5.25% monthly

Mathematics

1 answer:

bagirrra123 [75]3 years ago

3 0

Answer:

17.5 months

I did big brain math and got the answer because I am not that dumb

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Find <img src="https://tex.z-dn.net/?f=a_%7B1%7D" id="TexFormula1" title="a_{1}" alt="a_{1}" align="absmiddle" class="latex-form

yKpoI14uk [10]

Answer:

$\displaystyle a_{1} = 108$

Step-by-step explanation:

we are given

the sum,common difference and nth term of a geometric sequence

we want to figure out the first term

recall geometric sequence

$\displaystyle S_{ \text{n}} = \frac{ a_{1}(1 - {r}^{n} )}{1 - r}$

we are given that

$S_n=189$
$r=\dfrac{1}{2}$
$n=3$

thus substitute:

$\displaystyle 189= \frac{ a_{1}(1 - {( \frac{1}{2} )}^{3} )}{1 - \frac{1}{2} }$

to figure out $a_1$ we need to figure out the equation

simplify denominator:

$\displaystyle \frac{ a_{1}(1 - {( \frac{1}{2} )}^{3} )}{ \dfrac{1}{2} } = 189$

simplify square:

$\displaystyle \frac{ a_{1}(1 - {( \frac{1}{8} )}^{} )}{ \dfrac{1}{2} } = 189$

simplify substraction:

$\displaystyle \frac{ a_{1} (\frac{7}{8} )}{ \frac{1}{2} } = 189$

simplify complex fraction:

$\displaystyle a_{1} (\frac{7}{8} ) \div { \frac{1}{2} } = 189$

calculate reciprocal:

$\displaystyle a_{1} \frac{7}{8} \times 2 = 189$

reduce fraction:

$\displaystyle a_{1} \frac{7}{4} \ = 189$

multiply both sides by 4/7:

$\displaystyle a_{1} \frac{7}{4} \times \frac{4}{7} \ = 189 \times \frac{4}{7}$

reduce fraction:

$\displaystyle a_{1} = 27\times 4$

simplify multiplication:

$\displaystyle a_{1} = 108$

hence,

$\displaystyle a_{1} = 108$

4 0

3 years ago

Look at the table below. what is the constant change?

zimovet [89]

The answer would be 2x

5 0

3 years ago

Read 2 more answers

George is twice as old as Edward, and Edward’s age exceeds Robert’s age by 4 years. If the sum of the three ages is at least 56

vova2212 [387]

Answer:

Step-by-step explanation:

if george is 30 than edward would be 15 as he is twice younger than george

and robert would be 11 as he is 4 year younger than edward.

4 0

3 years ago

Set of all numbers greater or equal to -8 but less than 9

Sedaia [141]

Answer:

Could you give more detail?

7 0

3 years ago

Jjjjjjjjjjjjjjjjjjjjjjj

DiKsa [7]

Answer:In order to specify a line completely, all you need is

Step-by-step explanation:

co-ordinates of any one of the points it passes through (say, (x1,y1) ), and

its inclination (slope = m).

Its equation, by virtue of the definition of the slope then becomes,

y−y1x−x1=m

Whence, for our case,

y−2x+6=−12

which simplifies to

x+2y+2=0

5 0

3 years ago