Answer:
i) 2.3× 10⁻¹²
ii)2.3× 10¹⁰
iii)2.3× 10¹³
iv)2.3× 10⁻¹¹
<u>Step-by-step explanation</u>:
The degree and power depends on the position of the decimal. The degree of 10 is negative when the decimal is before 23 and is positive when it's after 23.
So solve for the equations of the lines
y=mx+b
m=slope
b=y intercept
line 1=
(-4,5)
(0,2)
(x,y)
slope=(y1-y2)/(x1-x2)
x1=-4
y1=5
x2=0
y2=2
subsitute
(5-2)/(-4-0)=3/-4=-3/4
slope=-3/4
subsitute
y=-3/4x+b
subsitute one of the points
(0,2)
x=0 and y=2 is one solution
2=-3/4(0)+b
2=0+b
2=b
the equation is y=-3/4x+2
other line
(0,5)
(4,2)
x1=0
y1=5
x2=4
y2=2
sybsitute
(5-2)/(0-4)=3/-4=-3/4
slope=-3/4
subsitute
y=-3/4x+b
now subsitute one of the points to solve for b
(0,5)
x=0 and y=5 is one solution
5=-3/4(0)+b
5=0+b
5=b
y=-3/4x+5
so we have the lines/equations
y=-3/4x+2 and y=-3/4x+5
(at this point we can see that since slopes are the same and the y intercepts are different, they are paralell and therefor have 0 solutions, but for those who don't know paralellline thingie read on)
solve for common (x,y)
y=-3/4x+2
y=-3/4x+5
subsitute
-3/4x+2=y=-3/4x+5
-3/4x+2=-3/4x+5
subtract 2 from both sides
-3/4x=-3/4x+5
add 3/4x to both sides
0=5
fasle
there are no solutions
the answer is A: 0 solutions
Answer:
<em>The simple interest is $11,212.5 and the equation to determine Josh's simple interest is I = PRT/100</em>
Step-by-step explanation:
The formula for calculating simple interest is expressed as;
SI = Principal * rate * time/100
SI = 50,000 * 6.9*39/100*12
SI = 500*6.9*39/12
SI = 134,550/12
SI = 11,212.5
<em>Hence the simple interest is $11,212.5 and the equation to determine Josh's simple interest is I = PRT/100</em>
P is the amount borrowed
R is the interest rate
T is the time in years
Answer:
8.8 Minutes or 528 Second.
Step-by-step explanation:
↓[ Read Below ]↓
Important Info:
Leslie Ran 3 Mile Race.
2nd Mile = 10% longer than 1st and 3rd Miles took her 24s longer than 2nd Mile
Question to Answer:
Leslie’s total time for the race was 26 minutes how long did the second mile take her?
Explanation/Solution:
Let for first mile, she took x minutes . And second mile took her 10 percent longer, so second mile took
x+ 10/100x = 110/100x=1.1x
And the third mile took 24 seconds longer as compared to second mile .
So third mile took
1.1x+24/60 = (1.1x+0.4) Minutes
And the total time for the race was 26 minutes, that is
x+1.1x+1.1x+0.4=26
3.2x=26-0.4
3.2x=25.6
x= 25.6/3.2 = 8 Minutes
So the first mile took 8 minutes. And therefore second mile took
= 1.1 (8) = 8.8 Minutes
Also Equal to 528 Second.
[RevyBreeze]
