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:
It's equivalent to the 3rd answer choice: y4 − 16y3 + 96y2 − 256y + 256
hope this helps! <3
Answer:
3
Step-by-step explanation:
the calculator I used
http://www.alcula.com/calculators/statistics/standard-deviation/
Answer:
C
Step-by-step explanation:
Since we have a point and a slope, we can use the point slope formula.
The point slope formula is:
where m is the slope, and (x1, y1) is the point given.
We know that the slope is -3, and the point given is (10, -1)
Therefore, our m is -3, x1 is 10, and y1 is -1.
y- -1 = -3(x-10)
y--1 is the same as y+1
y+1= -3(x-10)
Therefore, choice C is correct.
Since x-3 and x-1/3 are factors
(x-3)(x-1/3)= x²-3x-(1/3)x+1= x²-(10/3)x+1
to make -(10/3)x to 5x multiply by -(3/10)*5= -3/2
-(3/2)(x-3)(x-1/3)= -(3/2)x²+5x-3/2
Now by comparing -(3/2)x²+5x-3/2 with <span>ax^2+5x+ab
</span>
you can see that a= -3/2
