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3 years ago

5

Pls solve! I’m so confused, show work too pls!

1 answer:

Morgarella [4.7K]3 years ago

3 0

You plug in n = 1 and solve, n= 2 then 3 etc.
n=1, a1 = 36-5(1-1) = 36
n=2, a2 = 36-5(2-1) = 31
n=3, a3 = 36-5(3-1) = 26

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10 y is directly proportional to the cube of x. Given that y = 1512 when x = 6, find the equation for the y in terms of x.

sergiy2304 [10]

Answer:

${ \tt{y \: \alpha \: {x}^{3} }} \\ { \tt{y = k {x}^{3} }} \\ { \bf{k \: is \: a \: proportionality \: constant}} \\ { \tt{1512 = (k \times {6}^{3}) }} \\ { \tt{k = 7}} \\ { \boxed{ \bf{y = 7 {x}^{3} }}}$

7 0

3 years ago

A number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and 1. How m

Pie

Answer:

No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to call the numbers x and y.

A number is equal to twice a smaller number plus 3.

Greater number is x, and smaller is y. So

$x = 2y + 3$

The same number is equal to twice the sum of the smaller number and 1.

This means that $x = 2y + 1$

Equaling the values for x:

$2y + 3 = 2y + 1$

$0y = -2$

$y = -\frac{2}{0}$

Since division by 0 does not exist, it means that there is no solution for the system.

5 0

3 years ago

A certain college graduate borrows $8000 to buy a car. The lender charges interest at an annual rate of 10%. Assuming that inter

MaRussiya [10]

Answer:

The payment is $k=\$3216.92$ .

Interest paid during the 3-year period is $I_{T}=\$1651.76$

Step-by-step explanation:

Hi

<u>The Payment amount</u>

We are going to use the formula below with $VP=\$8000, i=10\%$ and $n=3$ .

$k=\frac{VP}{[\frac{1-(1+i)^{-n}}{i}] } =\frac{8000}{[\frac{1-(1+0.1)^{-3}}{0.1}] }=3216.92$

<u>Interest paid during the 3 year</u>

<u>First period</u>

$I_{1}=VP*i=8000*0.1=800$

$CS_{1}=k-I_{1}=3216.92-800=2416.92$

$Balance_{1}=VP-CS_{1}=8000-2416.92=5583.08$

<u>Second period</u>

$I_{2}=B_{1}*i=5583.08*0.1=558.31$

$CS_{2}=k-I_{2}=3216.92-558.31=2648.61$

$Balance_{2}=VP-CS_{2}=5583.08-2648.61=2924.47$

<u>Third period</u>

$I_{3}=B_{2}*i=2924.47*0.1=292.45$

Sum of Interest paid during the 3 years

$I_{t}=I_{1}+I_{2}+I_{3}=800+558.31+292.45=1651.76$

5 0

4 years ago

The cost to rent a moving van is $16 plus an additional $9 per hour.For $43, what is the maximum amount of time that a moving va

densk [106]

Answer:

3 hours

Step-by-step explanation:

43-16=27

27/9=3

8 0

3 years ago

Un boligrafo cuesta 30 ptas mas que un lapiz. Un muchacho ha comprado 8 boligrafos y 15 lapices. En total le han costado 700 pta

Firdavs [7]

Por un sistema de ecuaciones, tiene-se que:

Cada lapiz cuesta 20 ptas.
Cada boligrafo cuesta 50 ptas.

-------------------------

Considera-se un sistema de ecuaciones, con cada boligrafo custando x y cada lapiz custando y.

<u>Boligrafo cuesta 30 mas que un lapiz</u>, o sea, $x = 30 + y$
<u>8 boligrafos y 15 lapices cuesta 700</u>, o sea, $8x + 15y = 700$

-------------------------

Aplicando el <u>primer ecuación en la segunda, </u>tiene-se el cuesto de cada lapiz:

$8x + 15y = 700$

$8(30 + y) + 15y = 700$

$240 + 8y + 15y = 700$

$23y = 460$

$y = \frac{460}{23}$

$y = 20$

Cada lapiz cuesta 20 ptas.

-------------------------

Por fin, el cuesto de cada boligrafo es dado por:

$x = 30 + y = 30 + 20 = 50$

Cada boligrafo cuesta 50 ptas.

Un problema similar es dado en brainly.com/question/24637096

4 0

3 years ago