Answer:
aₙ = 3n - 6Step-by-step explanation:
Given sequence:
−3, 0,3,6,9,...This is AP with:
The first tern a₁ = - 3Common difference d = 3The rule for the nth term of the sequence is:
aₙ = a₁ + (n - 1)dSubstitute values:
aₙ = -3 + (n - 1)(3) = -3 + 3n - 3 = 3n - 6A cable company uses the formula S = 20,000 (1 + 0.08)y to estimate the number
of subscribers, S, that use their service after y years. If there were 20,000 cable
television subscribers when the cable company began, what is the meaning of the
expression (1 + 0.08)Y?
A. Every year the number of subscribers is estimated to increase by 8 over the number
of subscribers the year before.
B. Every year the number of subscribers is estimated to increase by 8% of the original
20,000 subscribers
C. Every year the number of subscribers is estimated to increase by 8% over the
number of subscribers the year before.
D. Every year the number of subscribers is estimated to increase by 80% of the
original 20,000 subscribers.
I
Answer:
C. Every year the number of subscribers is estimated to increase by 8% over the
number of subscribers the year before.
Step-by-step explanation:
Using the formula :
S = 20,000 (1 + 0.08)^y to estimate ;
S = number of subscribers ; y = years
The expression : (1 + 0.08)^y
0.08 = 0.08 * 100% = 8%
(1 + 0.08)^y represents a continous growth or increase in the number of subcsribers by 8% over the number of subscribers the preceeding year
A. Tomás collects sports cards. The number of baseball
cards he buys each week is proportional to the number
of football cards he buys.
B. Suppose Tomas buys a total of 30 seconds baseball and football cards in Week 5. How many of each would he have to buy to keep the same proportional relationship?
Week = 1 | 2 | 3 | 4
NOBC = 9 | 15 | ? | 6
NOFC = 6 | ? | 8 |
NOBC ( number of baseball cards)
NOFC ( Number Of football cards )
what is the answer for this
Answer:
∠B = 141
Step-by-step explanation:
n - > number of sides
n = 7
Sum of all interior angles = (n -2 ) * 180
= 5 * 180 = 900
∠B + 148 + 90 + 142 + 130 + 129 + 120 = 900
∠B + 759 = 900
∠B = 900 - 759 = 141
A study indicated that residents of manchester wasted 2695 gallons of water this tear. That is 50% less than last year . How many gallons of water did the city's residents waste last year?
Answer:
5390 gallons of water was wasted by the city's residents last year.
Step-by-step explanation:
Let [tex]x[/tex] denotes gallons of water wasted by the city's residents last year.
Gallons of water wasted by the city's residents this year = 2695 gallons
This is 50% less than last year.
Therefore,
[tex]x-\frac{50}{100}x=2695\\\\\frac{50}{100}x=2695\\\\\frac{x}{2} =2695\\\\x=2(2695)[/tex]
[tex]x=5390[/tex] gallons
So, 5390 gallons of water was wasted by the city's residents last year.
Deborah spent $70 on food and clothes. She spent $26 more on clothes than on food. On your worksheet, solve the question and write your answer below. How much did she spend on food and how much did she spend on clothes?
Answer:
She spent $22 on food, and $48 on clothes.
Step-by-step explanation:
Let's define the variables:
C = amount of money that Deborah spent on clothes
F = amount of money that Deborah spent on food.
We know that she spent in total $70, then we have the equation:
F + C = $70
And we know that she spent $26 more on clothes than on food, then we have the equation:
C = F + $26
This means that we have a system of equations:
F + C = $70
C = F + $26
To solve these type of systems, we usually start by isolating one variable in one of the equations. Here we can see that C is already isolated in the second equation.
Now we can replace it in the first equation.
F + (F + $26) = $70
Now we can solve this for F.
2*F + $26 = $70
2*F = $70 - $26 = $44
F = $44/2 = $22
So she spent $22 on food.
Now we can use the equation:
C = F + $26
To find how much she spent on clothes, where we need to replace F by the value we found.
C = $22 + $26 = $48
She spent $48 on clothes.
A salesperson earns a commission of $378 for selling $2100 in merchandise find the commission rate write your answer as a percentag
Answer:
18%
Step-by-step explanation:
Given data
commission = $378
sales =$2100
Hence the percentage is given as
= 378/2100*100
=0.18*100
= 18%
Hence the percentage commission is 18%
Evaluate: 4+8 divided by 2x (6-3)
Answer:
Step-by-step explanation:
(4+8)/(2x(6-3)) = 12/(2x(6-3)) = 12/6x = 2/x
Answer:
2x
Step-by-step explanation:
y = 3.2 – 24
5x - y = 8
The solution is
Find the LCD for the pair of fractions.
7 8
and
9 15
My number is the smallest 2 digit number that only has 2 factors
Answer:
11
Step-by-step explanation:
Consider 10's factors: 1, 2, 5, 10, this is more than 2.
11's factors: 1, 11 (!)
Answer:
I think11 js the smallest 2 digit number that only has 2 factors
help with full calculations please and thank you
Answer:
x = 13
Step-by-step explanation:
1. We can tell if the radical is in its simplest form if the square root term is a number that cannot be broken down to give a perfect square factor
what we are saying in this case is that if the number that is under the square root sign is one in which cannot be broken down to give a perfect square or that a perfect square is not its factor. Then it is in the simplest form
2. 512 = 2^(x-4)
512 = 2^9
2^9 = 2^(x-4)
since base is equal, we equate the powers
9 = x - 4
x = 9 + 4
x = 13
find the area of circle
whose radius is rcm.
Answer:
πr^2 Cm^2
Step-by-step explanation:
Using the formula we get our answer.
The width of a rectangle is 32 inches. The width of the rectangle decreased by 8 inches and its length also changed. The area of the rectangle remains the same, 1,440 square inches. What is the new length of the rectangle?
Answer:
60 in
Step-by-step explanation:
Area = length x width
Area is constant at 1440 in^2
For first rectangle: W1 and L1
For second rectangle: W2 and L2
W1 = 32 in
W2 = W1 - 8 in = 24 in
1440 in^2 = L1 x 32 in = L2 x 24 in
L1 = 45 in
L2 = 60 in
One of the altitudes of the parallelogram shown is StartRoot 22.5 EndRoot units. What is the length of the other altitude?
5 units
6 units
30 units
StartRoot 40 EndRoot units
Answer:
the length of the other altitude of the given parallelogram will be 6 units and option B is the correct choice.
The length of the other altitude in the parallelogram will be B. 6 units.
How to calculate the altitude?The equation to find the altitude in the parallelogram will be:
Altitude 1 × Vertical base = Altitude 2 × Horizontal base
✓22.5 × ✓40 = Altitude 2 × 5
30 = Altitude 2 × 5
Altitude 2 = 30/5
Altitude = 6
Learn more about parallelogram on:
https://brainly.com/question/970600
#SPJ2
If x > 0, which of the following is closest to the value of x that makes the equation below true? ( SHOW WORK )
2x^2 = 40
A. 3.2
B. 4.5
C.6.3
D.8.9
Answer:am working on this to study guide
Step-by-step explanation:
i need help. PLEASE, I dont know what to do
Answer:
HELL I DON'T EATHIER
Step-by-step explanation:
Please help me what is a NOW a/4 − 5/6 = −1/2
Answer:
Step-by-step explanation:
Change the denominator of the 1/2 to sixths. Multiply the top and bottom by 3 to get 3/6
[tex]\frac{a}{4}-\frac{5}{6}=-\frac{3}{6} \\[/tex]
Add 5/6 to both sides and simplify
[tex]\frac{a}{4} =\frac{1}{3}[/tex]
Multiply both sides by 4 to get
a=4/3
what is the slope intercept equation for the following line? 
(see image)
Answer:
y = x + 1
Step-by-step explanation:
You can immediately read off the y-intercept from the graph: (0, 1). The slope of this line is negative. Choosing two different points on this line leads to finding the slope of the line: (0, 1) and (2, -1) Going from the first point to the other, we see that x (the run) increases by 2 and y(the rise) decreases by 2. Thus, the slope is m = rise/run = 2/2 = 1.
The slope-intercept equation of this line is therefore y = x + 1.
Answer:
y=-1x+1
Step-by-step explanation:
To find the slope, we can use rise (vertical) over run (horizontal).
m=rise/run
We can see that from the first point to the second point, x increased by 2 and y decreased by 2.
The rise is -2 and the run is 2.
m=2/-2=-1.
The slope is -1.
Now let's find the y-intercept (the point where x=0, or where the line crosses the y-axis.)
This point is at (0,1), so b=1.
The y-intercept is 1.
This is the format for slope-intercept form: y=mx+b.
The slope-intercept equation is y=-1x+1.
Pleaseeee helppp answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!
The product of 0.031 and 1,000,000 is
-----------------
because the decimal point in 0.031 moves
-------------places to the right..
Answer:
31,000 and 6
Step-by-step explanation:
The product of 0.031 and 1,000,000 is 31,000, because the decimal point in 0.031 moves 6 places to the right.
Hope it helps :)
Please mark my answer as the brainliest
Answer:
0.00000003-6
Im doing a chalenge
Please like I need to win
Help I will be marking brainliest!!!
A. 28.8
B. 36
C. 48
D. 38.4
Answer:
A
Step-by-step explanation:
TR=[tex]\sqrt{60^{2} -48^{2} }[/tex]
TR=36
36/60=AR/36
AR=21.6
TA=[tex]\sqrt{36^{2} -21.6^{2} }[/tex]
TA=28.8
2 (X+3)
What is x ?
PLS HELP ASAP
Step-by-step explanation:
2(x＋3)
2x＋6
devide each in 2
2x/2 and 6/2
2 and 2 go out
X=3
please help
it easy i know but i don't know
Answer:
Step-by-step explanation:
a- impossible to say(c)
b- true(a)
c- true(a)
Step-by-step explanation:
I get it a little so i think c is true B.is false and A. is impossible to say
PLS HELP ME...WILL GIVE BRAINLIEST..THANKYOU!!!!!
Find 62.7% of 177. Round to the nearest thousandth.
Answer:
110.979
Step-by-step explanation:
62.7% * 177 = 0.627 * 177 = 110.979
Which one would it be A
B
C
Or
D
A model of Pythagorean Theorem is shown below. Based on the
information in the model, which equation represents the
Pythagorean theorem?
A. 1442 + 252 = 1692
B. 122 + 52 = 132
169
square
units
C. 12 + 5 = 13
144
square
units
D. 132 + 52 = 122
25
square
units
Determine the value of x in the diagram.
96°
X
84°
96°
Answer:
84
Step-by-step explanation:
96+96+84=276
360-276=84
Plz Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
the x coordinate is 5
the y coordinate is 4
Step-by-step explanation:
the x coordinate would be wherever the dot is on the horizontal line
the y coordinate would be wherever the dot is on the vertical line
Simplify: (p-q)^2 + 2pq
Answer:
(p-q)^2+2pq
= p^2-2pq+q^2+2pq
= p^2+q^2
Step-by-step explanation:
Please mark me the brainliest :-)