Answer:
75%
Step-by-step explanation:
Think of six out of eight hrs of a shift as 6/8. 6/8 can be simplified to 3/4 which than is aka 75% your answer.
Answer:
z = -3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Distributive Property
Terms/Coefficients
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
42 = -7(z - 3)
<u>Step 2: Solve for </u><em><u>z</u></em>
- [Distributive Property] Distribute -7: 42 = -7z + 21
- [Subtraction Property of Equality] Subtract 21 on both sides: 21 = -7z
- [Division Property of Equality] Divide -7 on both sides: -3 = z
- Rewrite: z = -3
Given that
starting outstanding balance = $150000
rate of interest = 7.5% per year
so rate of interest for 1 month = (7.5/12)% = 0.635%
outstanding balance before 1st monthly payment = starting outstanding balance + 0.625% of interest on starting outstanding balance
= 150000 + (0.625 /100) × 150000
= 150000 + 937.5 = $150937.5
Reduction = outstanding balance after one month - first monthly payment
Reduction = $150937.5 - 1010.10 = 149927.40
so out of first payment of $1,010.10 , $937.5 goes towards interest and remaining $72.6 goes towards reduction of principal that is 150000 - $72.6 = 149927.40.
so correct option is B that is $149927.40.
Answer:
P(roll a number less than 5)= 4/6= 2/3
Step-by-step explanation:
*A dice has 6 faces 1,2,3,4,5,6
*1,3,5 are faces with odd numbers
*2,4,6 are faces with even numbers
*we have four numbers that are less than 5: 1,2,3,4
so i would say the probability to roll a dice with a number less
than 5 is P=4/6=2/3
For this question, it would be most effective to use an algebraic expression to more easily show what the question is asking. If we use the variable "k" to show the distance in km that he cycled on Sunday, we know that the amount he cycled on Saturday equals k + 12, and the amount that he cycled on the weekend should be the amount of Saturday plus the amount of Sunday. If we write this as an equation we say:
k + k + 12 = 38
=> 2k + 12 = 38
Now we can just rearrange and solve for k:
=> 2k = 26
=> k = 26/2 = 13
Therefore Patrick cycled 13km on Sunday
To solve the answer, we just add 12km to the value for Sunday like so:
12 + 13 = the amount he cycled on Sunday
Hope this helped, remember to please try and understand the maths as well as the answer :))
