1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ber [7]
3 years ago
5

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

Mathematics
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
You might be interested in
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
Other questions:
  • A reproduction of Claude Monet's water lilies has Dimensions 34 and a half inches by 36 and a half inches find the area of the p
    13·1 answer
  • Wayne bought blueberries. He uses 3/8 of the blueberries to make blueberry​ bread, 1/6 of the blueberries to make​ pancakes, and
    13·2 answers
  • Bobby wants to go on a school trip that will cost him $250. He comes up with an equation that represents how much he needs to sa
    5·1 answer
  • The light in the transformed flowerbed is at coordinate ________
    9·1 answer
  • Complete each sentence with the correct conjugation of venir or traer. Nosotros no ____. (venir) Estamos enfermos.
    13·1 answer
  • In the next four questions, complete the proof of the converse of Theorem 37 (The diagonals of a rectangle are congruent.) by se
    12·1 answer
  • The function f(t) = 180(1.01) 6 represents the change in a quantity over i years.
    11·1 answer
  • If Samuel travels twenty kilometers north, fifty kilometers south, and forty kilometers west, what is the approximate magnitude
    13·1 answer
  • Please Help, Like Now
    5·2 answers
  • A cylindrical milk storage tank needs to be built to hold 84.78 cubic feet of milk. The foundation for the tank has already been
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!