Answer:
x=11 degrees
Step-by-step explanation:
45+4x+1=90
46+4x=90
4x=44
x=11
Step-by-step explanation:
Sum of −8.46 and 5.31 means we need to add −8.46+5.31.
We know that,
|-8.46| > |5.31|
It means we subtract 8.46 - 5.31
At hundredth place, 6-1 = 5
At tenths place, 4-3 = 1
At ones place, 8-5 = 3
It would mean that, 8.46 - 5.31 = 3.15
8.46 has a negative sign. It means that the final answer will have negative sign i.e. −8.46+5.31 = -3.15
Hence, the correct option is (a) " Because |−8.46|>|5.31|, subtract |5.31| from |−8.46| and the sign is negative".
The system of inequalities are
14.5·x + 9.5·y ≥ 140
7 ≤ y ≤ 10
x + y ≤ 15
2) 14.5·x + 9.5·y ≥ 140 represents the total amount of money Janine can earn
7 ≤ y ≤ 10 represents the range of values, Janine can spend dishwashing
x + y ≤ 15 represents the total number of hours Janine will like to work each week
3) 8 hours babysitting, 7 hours dishwashing
Step-by-step explanation:
The given parameters are;
The amount per hour Janine makes from babysits = $14.50
The amount per hour Janine makes from dishwashing = $9.50
The minimum number of hours Janine can spend dishwashing = 7 hours
The maximum number of hours Janine can spend dishwashing = 10 hours
The maximum number of hours Janine can work each week = 7 hours
The minimum amount she wants to make each week = $140
Let x represent the number of hours Janine spends babysitting and let y represent the number of hours Janine spends dishwashing
1) From the question, we have;
14.5·x + 9.5·y ≥ 140
7 ≤ y ≤ 10
x + y ≤ 15
2) Where
14.5·x + 9.5·y ≥ 140 represents the total amount of money Janine can earn
7 ≤ y ≤ 10 represents the range of values, Janine can spend dishwashing
x + y ≤ 15 represents the total number of hours Janine will like to work each week
Making, y, the subject of the formula of the above inequalities and plotting as functions is given as follows;
y ≥ 140/9.5 - (14.5/9.5)·x
y ≤ 15 - x
3) In order to earn as much money as possible given that the amount Janine earns from babysitting is more than the amount she earns from dishwashing, Janine should spend the least amount of time dishwashing, which is 7 hours, as given, and then spend the remaining 8 hours babysitting to receive $14.5 × 8 + $9.5×7 = $182.5
Answer:
interest earned= 292.878
the future value of an annuity= 892.878
Step-by-step explanation:
Given Data:
Interest rate= 5%
time,t = 8 years
Quarterly payment, P= 600
n= 4 as quarterly
At the end of 8 years, final investment A= ?
As per the interest formula
A= P(1+r/n)^nt
= 600(1+0.05/4)^32
= 892.878
Interest earned = A-P
= 892.878-600
= 292.878 !
Answer:
5 people will be left to play
