Answer:
y = 4ⁿ
Step-by-step explanation:
where n is the round number and y the people receiving.
Answer:
(3x+4)(5x+7)
Step-by-step explanation:
15x^2
+41x+28
Factor the expression by grouping. First, the expression needs to be rewritten as 15x^2
+ax+bx+28. To find a and b, set up a system to be solved.
a+b=41
ab=15×28=420
Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 420.
1,420
2,210
3,140
4,105
5,84
6,70
7,60
10,42
12,35
14,30
15,28
20,21
Calculate the sum for each pair.
1+420=421
2+210=212
3+140=143
4+105=109
5+84=89
6+70=76
7+60=67
10+42=52
12+35=47
14+30=44
15+28=43
20+21=41
The solution is the pair that gives sum 41.
a=20
b=21
Rewrite 15x^2
+41x+28 as (15x^2
+20x)+(21x+28).
(15x^2
+20x)+(21x+28)
Factor out 5x in the first and 7 in the second group.
5x(3x+4)+7(3x+4)
Factor out common term 3x+4 by using distributive property.
(3x+4)(5x+7)
Answer:
(x − 2) = 3
Remove the bracket
x - 2 = 3
Group the constants at one side of the equation
x = 2 + 3
x = 5
Therefore x = 5.00 to 3 significant figures.
Hope this helps
Answer:
Leah has 80 less paychecks than the weekly person.
Step-by-step explanation:
Leah is getting 24 paychecks in 2 years, Weekly person gets 104 paychecks in 2 years, 104 - 24 = 80 paychecks.
Answer:
There are 12 ways to make change for a $50 bill using $5, $10 and $20 bills
Step-by-step explanation:
Let's write down every possibility starting by using the largest quantity of $20 bills and we'll go from there, everytime that we get a $10 bill we will split it in the next option into 2 $5 bills.
(20)(20)(10)
(20)(20)(5)(5)
(20) (10)(10)(10)
(20)(10)(10)(5)(5)
(20)(10)(5)(5)(5)(5)
(20)(5)(5)(5)(5)(5)(5)
Now we start with the largest quantity of $10 bills (5) and go from there, splitting them into two 5 dollar bills in the next option.
(10)(10)(10)(10)(10)
(10)(10)(10)(10)(5)(5)
(10)(10)(10)(5)(5)(5)(5)
(10)(10)(5)(5)(5)(5)(5)(5)
(10)(5)(5)(5)(5)(5)(5)(5)(5)
(5)(5)(5)(5)(5)(5)(5)(5)(5)(5)
