Your parabola should look like this image. The vertex is at (-1, 9), and you can use any of the x-intercepts (-4, 0) & (2, 0) or the y-intercept (0, 8) as a second point.
Answer: he invested $15000 in part 1 and $60000 in part 2
Step-by-step explanation:
Let x represent the amount of money invested in part one.
Let 4x represent the amount of money invested in part 2 .
Total amount of money invested in part 1 and part 2 is
x + 4x = 5x
The formula for simple interest is expressed as
I = PRT/100
Where
P is the principal or initial amount.
T is the duration in years
R is the number rate.
For part 1
R = 7%
T = 1 year
P = x
I = (x × 7 × 1)/100 = 0.07x
For part 2,
R = 11%
T = 1 year
P = 4x
I = (4x × 11 × 1)/100 = 0.44x
if the total annual income from interest is 7650. This means that
0.44x + 0.07x = 7650 - - - - - - - -2
0.51x = 7650
x = 7650/0.51
x = 15000
Amount invested in part 1 is $15000
Amount invested in part 2 is 4×15000 = $60000
Answer:
14 cm
Step-by-step explanation:
Use the formula for the area of a square, a = s², where s is the side length of the square.
Plug in 196 as the area, then solve for s.
a = s²
196 = s²
14 = s
So, the length of the pathway is 14 cm
Number of +ve integers divisible by 2 less than or equal to 210=a=210/2=105
number of +ve integers divisible by 3 less than or equal to 210=b=210/3=70
number of +ve integers divisible by 7 less than or equal to 210=c=210/7=30
number of +ve integers divisible by 2&3 less than or equal to 210=d=210/6=35
number of +ve integer divisible by 2&7 less than or equal to 210=e=210/14=15
number of +ve integer divisible by 3&7 less than or equal to 210=e=210/21=10
number of +ve integer divisible by 2&7&3 less than or equal to 210=e=210/42=5
<span>number of positive integers not larger than 210 and divisible by 2, 3 or 7=105+70+30-(35+15+10)+5
=150
so numbers not divisible=total-150
=210-150
=</span>60
Answer:
i think 2
Step-by-step explanation:
65km ÷ x = 6 1/2km×5
65÷x = 6 1/2×5
65÷x = 13/2 ×5
65÷x = 65÷2
x = 2
so 2 is answer