Answer: (1.) 1/3
(2.)2/3
(3.) 2:1
(4.) 1/2
Step-by-step explanation:
(1.) 12 mult. problems and 12+24=36 total so 12/36 =1/3
(2.) 24 div. problems and 36 totals so 24/36 =2/3
(3.) 24 div and 12 mult =24/12 or 2/1
(4.) 12 mult and 24div =12/24=1/2
the least common multiple is 1,020 :)
Answer: he invested $46062.5 at 6% and $23031.25 at 10%
Step-by-step explanation:
Let x represent the amount which he invested in the account paying 6% interest.
Let y represent the amount which he invested in the account paying 10% interest.
He puts twice as much in the lower-yielding account because it is less risky.. This means that
x = 2y
The formula for determining simple interest is expressed as
I = PRT/100
Considering the account paying 6% interest,
P = $x
T = 1 year
R = 6℅
I = (x × 6 × 1)/100 = 0.06x
Considering the account paying 10% interest,
P = $y
T = 1 year
R = 10℅
I = (y × 10 × 1)/100 = 0.1y
His annual interest is $7370dollars. it means that
0.06x + 0.2y = 7370 - - - - - - - - - -1
Substituting x = 2y into equation 1, it becomes
0.06 × 2y + 0.2y = 7370
0.12y + 0.2y = 7370
0.32y = 7370
y = 7370/0.32
y = $23031.25
x = 2 × 23031.25
x = 46062.5
Answer:
3+6×(5+4÷2)-7
Step-by-step explanation:
To solve the expression use order of operations.
Right now the expression solves to:
3+6×5+4÷2-7 6* 5 = 30
3 + 30 + 4÷2-7 4 ÷ 2 = 2
3 + 30 + 2 - 7 Add and subtract left to right.
33 + 2 - 7
35 - 7
28
To make it solve to 38, add parenthesis:
3+6×(5+4÷2)-7 (5+4÷2) = 7
3+6×(7)-7 6*7 = 42
3 + 42 - 7 Add and subtract from left to right
45 - 7
38