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lions [1.4K]
3 years ago
10

Please help. Marika is training for a race.

Mathematics
1 answer:
Anika [276]3 years ago
3 0

Let's call n the number of days Marika's been training for the race, and a_n the distance she runs on the nth day in meters. After the first day, when n = 1, she runs 100 meters, so


a_1=100


On the second day, she runs an additional 4 meters, on the third day, another 4, and so on. Here's what that looks like mathematically:


a_2=100 + 4\\a_3=100 + 4 + 4\\a_4=100+4+4+4


It would be easier to write this continued addition as multiplication, in which case those same equations would look like


a_2 = 100 + 4(1)\\a_3 = 100 + 4(2)\\a_4=100+4(3)


Notice that, in every case, the number 4 is being multiplied by is 1 less than n. We could even write for our first term that a_1=100+4(0). In general, we can say that


a_n=100+4(n-1)


Which is expressed by option B.


(Bonus: What piece of information from this question did we not need to use here?)

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Maria, age 28, wants to pay no more than $300 a year in life insurance. what is the face value of the largest 20-year term polic
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The face value of the largest 20-year term policy which Maria can buy without spending more than $300 annually is $158,000.

<h3>What is face value?</h3>

Face is the term used in finance, is used for the amount which has to be paid to the policyholder at the time of maturity.

Maria, age 28, wants to pay no more than $300 a year in life insurance.

The period for this policy is 20-year term.

Annual life insurance premium (per 1,000 dollars of face value) for age 28.

  • A 10-year term for female is 1.28,
  • A 15 year term for female is 1.54,
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For the 20 year term for female is 1.89 and annular premium is $300. Thus, the face value is,

\rm Face \; Value=\dfrac{300}{1.89}\times1000\\\rm Face \; Value\approx158000

Thus, the face value of the largest 20-year term policy which Maria can buy without spending more than $300 annually is $158,000.

Learn more about the face value here;

brainly.com/question/25596583

8 0
2 years ago
1. The Frosty Ice-Cream Shop sells sundaes for $2 and banana splits for $3. On a hot summer day, the shop sold 8 more sundaes th
worty [1.4K]
1) Sundaes - $2 ; Banana Splits - $3
3x + 2(x+8) = 156
3x + 2x + 16 = 156
5x = 156 - 16
5x = 140
x = 28 banana split        ; x + 8 = 28 + 8 = 36 sundaes

2) Palanzio's = 6.80 + 0.90x ; Guido's = 7.30 + 0.65x
6.80 + 0.90x = 7.30 + 0.65x
0.90x - 0.65x = 7.30 - 6.80
0.25x = 0.50
x = 2   number of toppings.

6.80 + 0.90x = 7.30 + 0.65x
6.80 + 0.90(2) = 7.30 + 0.65(2)
6.80 + 1.80 = 7.30 + 1.30
8.60 = 8.60

3) 6x - y = 4 ; y = 4x + 2
6x - (4x+2) = 4
6x - 4x - 2 = 4
2x = 4 + 2
2x = 6
x = 6/2
x = 3

y = 4x + 2
y = 4(3) + 2
y = 12 + 2
y = 14

6x - y = 4
6(3) - 14 = 4
18 - 14 = 4
4 = 4



6 0
3 years ago
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