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nikitadnepr [17]

3 years ago

5

What is the value of x in the equation 3/4(1/4x+8)-(1/2x+2)=3/8(4-x)-1/4x

1 answer:

weeeeeb [17]3 years ago

3 0

Your answer is x=-32/13

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Please help!!! the principal P is borrowed at simple interest rate for a period of time t. Find the loans future value, A or the

Anuta_ua [19.1K]

Answer:

Step-by-step explanation:

$A=P(1+rt)\\ \\ P=\$ 5900,\ r=0.045,\ t=22/12\\ \\ A=5900(1+0.045(22/12))\\ \\ A=\$ 6386.75$

6 0

3 years ago

I need step by step please 3(x-2)^2+1=13

Romashka-Z-Leto [24]

Answer:

$x_{1} = 0. \: \: \: x_{2} = 4$

Step-by-step explanation:

$3(x - 2)^{2} + 1 = 3$

$3( {x}^{2} - 4x + 4) + 1 = 13$

${3x}^{2} - 12x + 12 + 1 = 13$

${3x}^{2} - 12x + 13 = 13$

${3x}^{2} - 12x = 0$

$x \times (x - 4) = 0$

$x = 0$

$x - 4 = 0$

$\boxed{\green{x_{1} = 0. \: \: \: x_{2} = 4}}$

7 0

2 years ago

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Vilka [71]

Answer:

60 degrees

Step-by-step explanation:

It is less than 90 degrees

3 0

3 years ago

What is the explicit rule for this geometric sequence? a1=-15;an=1/5•an-1

Ad libitum [116K]

Answer:

Option A is correct.

$a_n =-15 (\frac{1}{5})^{n-1}$

Step-by-step explanation:

Given: $a_1 = -15$ ; $a_n = \frac{1}{5} \cdot a_{n-1}$

for n = 2

$a_2 = \frac{1}{5} \cdot a_{2-1}$ = $\frac{1}{5}\cdot a_1 = \frac{1}{5} \cdot (-15)$

for n =3

$a_3 = \frac{1}{5} \cdot a_{3-1}$ = $\frac{1}{5} \cdota_2= (\frac{1}{5})^2\cdot (-15)$

Simlarly , for n =4

$a_3 = \frac{1}{5} \cdot a_{4-1}$ = $\frac{1}{5}\cdot a_3= (\frac{1}{5})^3\cdot (-15)$

and so on...

Common ratio(r) states that for a geometric sequence or geometric series, the common ratio is the ratio of a term to the previous term.

we have; $r = \frac{a_2}{a_1} = \frac{1}{5}$

Now; by recursive formula for geometric series:

$a_n = a_1 r^{n-1}$

where $a_1$ is the first term and r is the common ratio:

Substitute the value of $a_1 = -15$ and $r = \frac{1}{5}$

we have;

$a_n =-15 (\frac{1}{5})^{n-1}$

therefore, the explicit rule for the geometric sequence is; $a_n =-15 (\frac{1}{5})^{n-1}$

3 0

3 years ago

Carmen rides her bicycle at a constant rate to the market. When she rides her bicycle back home along the same route, she bikes

prisoha [69]

We will use the equation:
r t = 3/4 r ( t+12 ) /:r
t = 3/4 t + 9
t - 3/4 t = 9
1/4 t = 9
t = 9 * 4 = 36 minutes ( takes a trip to the market )
36 + 12 = 48 minutes
The ride home takes 48 minutes.

7 0

3 years ago