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
faust18 [17]
3 years ago
5

A radio station advertises a contest with ten cash prizes totaling $5510. There is to be a $100 difference between each successi

ve prize.
Find the amounts of the least and greatest prizes the radio station will award.

a.
least: $100
greatest: $1000
b.
least: $10
greatest: $5500
c.
least: $101
greatest: $1001
d.
least: $50
greatest: $1500



Please select the best answer from the choices provided


a) A
b) B
c) C
d) D
Mathematics
1 answer:
My name is Ann [436]3 years ago
4 0

Answer:

option C

c. least: $101

greatest: $1001

Step-by-step explanation:

A radio station advertises a contest with ten cash prizes totaling $5510. There is to be a $100 difference between each successive prize.

Sum of 10 prizes = 5510

100 is the difference. there is a common difference d=100

So its a arithmetic sequence

the sum formula for arithmetic sequence is

S_n = \frac{n}{2}(2a_1 +(n-1)d)

Sn = 5510, n=10 n d= 100 we need to find out first term a1

5510 = \frac{10}{2}(2a_1 +(10-1)100)

5510 = 5 (2a1 + 900)

5510 = 10a1 + 4500

Subtract 4500 on both sides

1010= 10a1

divide by 10 on both sides

a1 = 101

so first term that is least term is 101

To find out greatest term we use formula

a_n = a_1 + (n-1) d

a(10) = 101 + (10-1)100

= 101 + 900= 1001

greatest is 1001

You might be interested in
Nhich pairs of triangles appear to be congruent? Check all that apply.
Fiesta28 [93]

Answer:

Answer is B and C Triangles 1, 3 and 4 appear to be congruent

8 0
2 years ago
in year 4 the store sold 112% of the total number of scooters sold during the previous three years combined determine the number
Margarita [4]

Answer:

2, 240

Step-by-step explanation:

In the table, the values should be

Year 1   725  

Year 2   579

Year 3   696

Since Year 4 sold 112% of the previous 3 years combined, we add 725+579+696=2000. We can find 112% by writing a proportion.

\frac{112}{100} =\frac{x}{2000}

We solve through cross multiplication of numerator and denominator of the opposite fraction.

112(2000)=100(x)\\224000=100x\\2,240=x

3 0
3 years ago
Read 2 more answers
Michelle multiple 3.4×52. she incorrectly wrote 1,768 as her product.
Lelechka [254]

Answer:

Wrong Answer 176.8

Step-by-step explanation:

Multiply 3.4 * 52 = 176.8


6 0
3 years ago
Read 2 more answers
The following octagon is formed by removing four congruent triangles from a rectangle. What is the area of the rectangle?
prisoha [69]
Area= length times width. 10×6 is 60. Answer is 60 cm^2
5 0
3 years ago
Read 2 more answers
Is the line for the equation y = −8 horizontal or vertical? What is the slope of this line? Select the best answer. (2 points) T
White raven [17]

Answer:

For anyone needing to know:

Step-by-step explanation:

The line is horizontal the slope is 0

5 0
3 years ago
Read 2 more answers
Other questions:
  • For the rectangle provided, the length of this rectangle is 5 mm longer than its width. The perimeter of this rectangle is more
    12·1 answer
  • 8. A neighborhood trash pick-up comes every
    14·2 answers
  • a student reads at a rate of 16 pages per day. Which order pair would be on a graph of this relationship
    5·1 answer
  • Which statements are true about the place values in the number 22.222? Choose all answers that are correct. A. The 2 in the tent
    7·1 answer
  • a dairy needs 306 gallon of milk containing 6% butterfat. how much gallons each of milk containing 7% butterfat and milk contain
    14·1 answer
  • Please Help! <br> I will give Brainliest!!<br>HELP ANYONE!!!
    5·1 answer
  • 20 POINTSS and im giving brainliest
    5·2 answers
  • 6 pt = 12 c<br> is it true or false???
    13·1 answer
  • Given points B (-9,5), L (5, 13), U (8,-4), and E(-1,-6).
    8·1 answer
  • An airplane traveling from chicago to LA can fly at a rate of 6 miles per minute,how many hours does it take to travel 1,200 mil
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!