Answer:
The percentage rate is 4.5%.
Step-by-step explanation:
The given formula for simple interest is I=prt where I=simple interest, p=principle, r = percentage rate and t=time. In the problem, we are told that after six years (t=6), $7000 (p=7000) earns $1890 (I=1890). We can then substitute in the values for three of our variable to get the following: 1890 = (7000)(6)r. Multiplying 7000x6 = 42000 giving us 1890 = 42000r. Using inverse operations, we divide both sides of the equation by 42000 to get 0.045 = r. Since r = percentage rate, we need to multiply our decimal by 100 to find the percentage. 0.045 x 100 = 4.5%.
Answer:
Step-by-step explanation:
For similar figures, side lengths (and any other linear measure) are proportional. Areas are proportional to the square of the scale factor for side lengths.
Perimeter 1/Perimeter 2 = CD/EF
21/18 = CD/6
CD = 6(21/18)
CD = 7 . . . cm
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Area 2/Area 1 = (Perimeter 2/Perimeter 1)²
Area 2/98 = (18/21)²
Area 2 = 98(6/7)²
Area 2 = 72 . . . cm²
Answer:the nth term of the sequence, Tn= -3n +12
Step-by-step explanation:
The nth term of an arithmetic progression is given as
Tn= a+ (n-1) d
where a= first term
and d = common difference
In this sequence, 9, 6 ,3 ,0, -3, -6 we can see that the number is decreasing by 3
The first term, a= 9
and common difference, d = -3
using our formulae
Tn= a+ (n-1) d
Tn= 9 + ( n-1) -3
Tn=9- 3n+ 3
Tn= -3n +12
Answer:
50
Step-by-step explanation:
since they are parallel then 2x+6=106
so subtract 6 from each side so it's 2x = 100
then divide each since by 2
so x= 50
Answer:
$16.10
Step-by-step explanation:
Simply take the original cost and multiply it by the percentage to get the tip amount then add it all together.
14 × 15% = 2.1
14 + 2.1 = 16.1
This means the haircut would cost a total of $16.10.
