What is the 100th term of the sequence with a1 = 222 and d = -5

Answers

Answer 1

Answer:

-273

Step-by-step explanation:

222- (99*5)

222-495

-273

Answer 2

Answer:

-273

(next time if their is options maybe also try and put them, it would help a lot)


Related Questions

a department store credit card advertises no payments for 2 years on purchases what they do not advertise is the interest is compounded continuously for those two years at an annual rate of 19.7 %if you make a purchase for 550 and make no payments for 2 years how much would you owe at the end of those two years ​

Answers

Answer:

o very easy hahaha I should tell step by step or shortcut

At the candy shop, Ameenah sells chocolate covered raisins, c, for $1.50 per pound, and peanuts, p, for $1.20 per pound. Ameenah wants to make 20 pounds of a mixture of raisins and peanuts that sells for $1.35 a pound. How many pounds of each should she use?

Thanks! :)

Answers

Answer:

10 pounds of raisins and 10 pounds of peanuts.

Step-by-step explanation:

Let c represent the pounds of chocolate covered raisins.

Let p represent the pounds of peanuts.

We know that the raisins cost $1.50 per pound and the peanuts cost $1.20 per pound.

Ameenah wants to make 20 pounds of a mixture of the raisins and peanuts that sells for 1.35 a pound. So, we can write the following expression:

[tex]1.5c+1.2p[/tex]

This represents the cost given c pounds of raisins and p pounds of peanuts.

Ameenah wants to combine c and p to make them 1.35 per pound. In other words, the expression must equal:

[tex]1.5c+1.2p=1.35(c+p)[/tex]

We also know that she wants to make 20 pounds. So, c plus p must total 20. Therefore:

[tex]c+p=20[/tex]

We now have the system of equations:

[tex]\left\{ \begin{array}{ll} 1.5c+1.2p=1.35(c+p) \\ c+p=20\end{array}[/tex]

First, since we know that c+p is 20, we can substitute that into the first equation.

Second, let's subtract p from both side for the second equation to isolate a variable. So:

[tex]c=20-p[/tex]

Let's now substitute this into the first equation:

[tex]1.5(20-p)+1.2p=1.35(20)[/tex]

Distribute:

[tex]30-1.5p+1.2p=27[/tex]

Combine like terms:

[tex]-0.3p+30=27[/tex]

Subtract 30 from both sides:

[tex]-0.3p=-3[/tex]

Divide both sides by -0.3. So, the amount of peanuts needed is:

[tex]p=10[/tex]

10 pounds of peanuts is needed.

This means that 20-10 or 10 pounds of raisins is needed.

Answer:

10 pounds of both raisins and peanuts.

Step-by-step explanation:

Anne's potato salad recipe requires one pound of potatoes for every four people served. How many pounds of potatoes will Anne need to serve 14 people at her picnic?

Answers

Answer:

3.5 pounds for 14 people

Step-by-step explanation:

Given

1 pound = 4 people

Required

Determine the pounds for 14 people

Represent this with x; so, we have:

[tex]1\ pound = 4\ people[/tex]

[tex]x = 14\ people[/tex]

Cross Multiply

[tex]x * 4 = 1 * 14[/tex]

[tex]4x = 14[/tex]

Solve for x

[tex]x = 14/4[/tex]

[tex]x = 3.5[/tex]

Hence, 3.5 pounds for 14 people

8. If k = log2 3 then log2 48 =

Answers

Answer:

16k

Step-by-step explanation:

k=3log2

k=(48\16) log2

16k= 48log2

16k=log2 48

Numbers can be expressed in logarithms.

The value of [tex]\mathbf{log_248}[/tex] is [tex]\mathbf{k + 4}[/tex]

The expressions are given as:

[tex]\mathbf{k = log_23}[/tex]

[tex]\mathbf{log_248}[/tex]

Express 48 as 3 * 16

[tex]\mathbf{log_248 = log_2(3 \times 16)}[/tex]

Split

[tex]\mathbf{log_248 = log_2(3) + log_2(16)}[/tex]

Express 16 as 2^4

[tex]\mathbf{log_248 = log_2(3) + log_2(2^4)}[/tex]

Rewrite as:

[tex]\mathbf{log_248 = log_2(3) + 4log_22}[/tex]

In logarithms:

[tex]\mathbf{log_aa = 1}[/tex]

So, we have:

[tex]\mathbf{log_248 = log_2(3) + 4(1)}[/tex]

[tex]\mathbf{log_248 = log_2(3) + 4}[/tex]

Substitute [tex]\mathbf{k = log_23}[/tex]

[tex]\mathbf{log_248 = k + 4}[/tex]

Hence, the value of [tex]\mathbf{log_248}[/tex] is [tex]\mathbf{k + 4}[/tex]

Read more about logarithms at:

https://brainly.com/question/8657113

For what values of m are there 2 different distinct real solutions? Give your answer as an inequality. X^2-2x+m.

I'm not sure, but I think the formula is b^2-4ac>0​

Answers

Answer:

m<1

Step-by-step explanation:

If the expression is in the form of [tex]ax^2+bx+c[/tex], then the condition for having 2 different real roots is

[tex]b^2-4ac>0\cdots(i)[/tex].

The given expression is [tex]x^2-2x+m[/tex].

Here, a=1, b=-2 and c=m.

So, by using equation (i),

[tex](-2)^2-4(1)(m)>0[/tex]

[tex]\Rightarrow 4-4m>0[/tex]

[tex]\Rightarrow 4m<4[/tex]

[tex]\Rightarrow m<4/4[/tex]

[tex]\Rightarrow m<1[/tex].

Hence, the condition for the expression [tex]x^2-2x+m[/tex] to have two different real roots is m<1.

help me on problem 4 !!!!I WILL GIVE BRAINLIEST!!!!!

Answers

Answer:

b=12.20

Step-by-step explanation:

its asking for a triangle. there are two legs (the straight sides) and a hypotenuse*.( the slanted one) the formula for finding a missing side is a2+b2=c2. (squared) then you plug in your numbers. and c2 is always the slanted side while a and b are the legs. Sorry this was late tho.

What is the image of (−8,2) after a reflection over the y-axis?

Answers

Answer:

8, -2

Step-by-step explanation:

yk = m + n
Solve the following equation for k:

Answers

There isn’t enough info to understand
Isolate k. To do this, divide y to both sides.
k = m + n / y

What is the constant of proportionality in the equation y = 0.41x?

Answers

Answer:

0.41

Step-by-step explanation:

because its 0.41 it cant be reduced or messed with so your answer is 0.41

There are 30 students in Mrs. Martinez's class.
of the class has an Android cell phone.
of the class has an iPhone.
The rest of the students do not have a cell phone.
How many students in Mrs. Martinez's class DO NOT have a cell phone?
O 6 students
O 21 students
09 students
O 15 students

Answers

Answer:

9

Step-by-step explanation:

1/5 of 30 is 6 or 30/5. 1/2 of 30 is 15 or 30/2. 6+15=21. 30-21=9

Pocahontas opens a savings account with $640 dollars that earns 3.9% interest per year not compounded. How much money to the nearest penny will Pocahontas have in 8 years

Answers

Given:

Principal value = $640

Rate of interest = 3.9% not compounded

Number of years = 8

To find:

The amount after 8 years.

Solution:

It is given that the interest is not compounded. It means, we need to find simple interest.

Formula for simple interest:

[tex]I=P\times r\times t[/tex]

where, P is principal, r is rate of interest and t is time in years.

Put P=640, r=0.039 and t=8.

[tex]I=640\times 0.039\times 8[/tex]

[tex]I=199.68[/tex]

So, the interest is $199.68.

Now, amount after 8 years is

[tex]A=P+I[/tex]

where, P is principal and I is interest.

[tex]A=640+199.68[/tex]

[tex]A=839.68[/tex]

Therefore, the amount after 8 years is $839.68.

Show your work: Solve for b, where A is the area of a rectangle, b is the length of the base of the rectangle, and h is the height of the rectangle. Ab h

Answers

Answer:

[tex]b = \dfrac{A}{h}[/tex]

Step-by-step explanation:

Given the formula for calculating the area of the rectangle as;

A = bh where;

b is the length of the base of the rectangle, and;

h is the height of the rectangle

Required

Make b the subject of the formula

Given

[tex]A = bh\\\\divide \ both \ sides \ by \ h\\\dfrac{A}{h} = \dfrac{bh}{h}\\ \dfrac{A}{h} = b\\Re-arrange;\\b = \dfrac{A}{h}[/tex]

Hence the value of b in terms of A and h is expressed as [tex]b = \dfrac{A}{h}[/tex]

Instructions: Find the measure of the indicated angle to the nearest degree.

Answers

Answer:

23

Step-by-step explanation:

m∠A=cos⁻¹(35/38) = 22.91954215

round your answer to the nearest tenth.

23 degrees is the measure of the indicated angle in the triangle.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The given triangle is a right angled triangle.

The side lengths of triangle are 35 and 38.

We have to find the measure of the angle opposite to the right angle.

By using cosine function formula we calculate it.

CosA=Adjacent side/Hypotenuse

CosA=35/38

m∠A=cos⁻¹(35/38)

= 22.91954215

Hence, 23 degrees is the measure of the indicated angle.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ7

Help me out here...........

Answers

Answer:

false cause if they both were added it would be 2/9ths

Step-by-step explanation:

answer:

JUST READ EXPLANATION!!!

Step-by-step explanation:

well, 1/3 divided by 3 =1/9

Kaley and Tom both work at Publix as cashiers for $7.68 per hour. This week Kaley worked 5 more hours than Tom in overtime. Write an expression that represents the weeks' total wages for Kaley and Tom if h represents the number of hours Tom worked.

Answers

Answer:

7.68h

38.4 + 7.68h

Step-by-step explanation:

Earnings per hour = $7.68

This week Kaley worked 5 more hours than Tom in overtime

h = number of hours Tom worked.

Tom's total earnings for the week = earnings per hour × number of hours

= $7.68 × h

= 7.68h

Tom's total earnings for the week = 7.68h

Kayley's total earnings for the week = earnings per hour × number of hours

He works 5 hours more than Tom in overtime.

Tom = h

Kayley = 5 + h

Kayley's total earnings for the week = earnings per hour × number of hours

= (7.68) × (5 + h)

= 38.4 + 7.68h

Kayley's total earnings for the week =

38.4 + 7.68h

Emilia went out to eat dinner, and the meal cost $20.00. If Emilia received a 30% discount, what was the total value of the discount?

Answers

The answer would be $12. You would need to change the 30% to 0.3 then multiply by $20. Then take the -$6 and subtract it by $20.

Ariana borrowed some money from her friend in order to help buy a new video game system. Ariana originally borrowed $150 and agreed to pay back her friend $15 per week

Answers

Answer:

if it how long it will it take to pay her friend back its 135 weeks

Step-by-step explanation:

HELP PLZ. ASAP I need an answer.

Answers

Answer:

6.5

Step-by-step explanation:

You can see that the total Coast change from Month 0 to Month 2 by 13$ (35-22= 13). Since these are two month we need to divide them by 2 (13/2= 6.5)

6.5 is the total rate of change per months

the polygon is regular if each of its side has the same length. find the perimeter of the regular polygon.

18, 19, 20

helpp!!!!

Answers

18. 5-2x = -4x+9
2x = 4
x = 2
perimeter = length of one side x 3
perimeter = [5-2(2)] x 3
= 3

19. 3(x-1) = 5x-6
3x-3 = 5x-6
-2x = -3
x = 1.5
perimeter = [3(1.5-1)] x 5
=7.5

20. 4/3x-⅓ = x+7
4x-1 = 3x+21 (multiply throughout by 3 to get rid of denominator on LHS)
x = 22
perimeter = (22+7) x 6
= 29 x 6
= 174
^ not sure about qn20 because i can’t tell if it’s x+7 or x divided by 7 it’s kinda blurry

Find the distance from point A(−1, 7) to the line y=3x. Round your answer to the nearest tenth.

Answers

Answer:

The distance from the point to the line is approximately 3.2 units

Step-by-step explanation:

Distance From a Point to a Line

Is the shortest distance from a given point to any point on an infinite straight line. The shortest distance occurs when the segment from the point and the line are perpendiculars.

If the line is given by the equation ax + by + c = 0, where a, b and c are real constants, the distance from the line to a point (x0,y0) is

[tex]\displaystyle d= \frac{|ax_0+by_0+c|}{\sqrt{a^2+b^2}}[/tex]

The line is given by the equation:

y=3x. We need to transform it into the specified form.

Subtracting 3x:

y - 3x = 0

Comparing with the general form of the line, we have

a=-3, b=1, c=0

The point (xo,yo) is (-1,7), thus:

[tex]\displaystyle d= \frac{|-3\cdot (-1)+1\cdot 7+0|}{\sqrt{(-3)^2+1^2}}[/tex]

[tex]\displaystyle d= \frac{|3+7|}{\sqrt{9+1}}[/tex]

[tex]\displaystyle d= \frac{|10|}{\sqrt{10}}[/tex]

[tex]\displaystyle d= \frac{10}{\sqrt{10}}[/tex]

[tex]d\approx 3.2[/tex]

The distance from the point to the line is approximately 3.2 units

average rainfall in clearview is 38in
this year 29.777in fell. how much less rainfell this year than falls in a average year?

Answers

Answer: 8.223in less rain fell today.

Step-by-step explanation:

38in. - 29.777in. = 8.223in

How much larger is 10 to the power of 7 than 10 to the power of 3 What operation can we use?

Answers

Answer:

10 to the power of 7 is 10000000 and 10 to the power of three is 1000 making ten to the power of seven 10000 times bigger

Step-by-step explanation:

Express the radical using the imaginary unit, i.
Express your answer in simplified form.
IV-18 = +

Answers

Answer:

0.79

Step-by-step explanation:

25+30+10+4=79 so 0.79

Answer:

0.79

Step-by-step explanation:

I know because of I got taught a little about this but if I am wrong I'm sooooooo sorry

A restaurant charges $8 per burger basket ordered. The charles family orders at least 3 burger baskets but no more than 7 burger baskets a week. If x, represents the number of burger baskets ordered the total cost can be represented by f(x) = 8.50x. What is the domain of the function for this situation?

A- 8,32,40,48,56
B- 3,4,5,6,7,
C- 3 D- 8

Answers

Answer:

b

Step-by-step explanation:

What is the solution to the equation 3(2x+5) = 3x+4x?
O X=0
O X=4
Ox=5
OX= 15
Answer ASAP will give brainliest to first answer!! (If you didn’t know I half to have 2 people answer before giving brainliest!)

Answers

x=15
expand the brackets and collect like terms so 6x+15=7x
then -6x to get x=15

Number of band members beyerhighschool in Orange County

Answers

Answer:

its answer is in high school is ten

Kara and her friends have $17 to spend at a pizza parlor.they would like to buy large pizza which costs $12 and then add as many toppings as possible if each topping (t) cost 50cents,which inequality describes the maximum number of toppings that the group can purchase?

Answers

Answer:kara Had $17-$12. Pizza cost =leave u with $5 x.50=10topping

Step-by-step explanation:


Kara's car used 1/16 gallons
of gas to drive 1/8 of a mile. At
this rate, how many miles can
Kara's car drive using one
gallon of gas?

Answers

1/16*16= 1
1/8*16= 2

Answer= 2 miles

8b + 5 + 4 = -23
Need ASAP

Answers

Answer: b= -4

Step-by-step explanation:

b= -4. Because - 23-9
8b = -32 so then 32 divided by 8 = -4 so the yeaaaaaaaaasaaaaaaa

Solve the proportion 4/5 equals X over 15

Answers

x=12, because when you use the constant of proportionality, which in this case is three, that’s what you multiply by 4 in the numerator side to equal 12.
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