Answer:
0.06944444444
Step-by-step explanation:
Answer:
Kristi
Step-by-step explanation:
The formula for Simple Interest =
Principal × Rate × Time
For Kristi
Kristi invests $3,000 at a 7.25% annual simple interest rate,
Principal = $3000
Rate = 7.25% = 0.0725
Time = 1
Simple interest = $3000 × 0.0725 × 1
= $217.5
For Kari
Her sister Kari invests $3,200 at a 6.25% annual simple interest rate.
Principal = $3200
Rate = 6.25% = 0.0625
Time = 1
Simple interest = $3200 × 0.0625 × 1
= $200
From the above calculation, we can see that: Kristi will earn the greater amount of interest after one year
<span>We want to check how many intersections line A and B have, that is, we want to check how many common solutions do these equations have:
</span>
i) 2x + 2y = 8
ii) x + y = 4
<span>
use equation ii) to write y in terms of x as : y=4-x,
substitute y =4-x in equation i):
</span>2x + 2y = 8
2x + 2(4-x) = 8
<span>2x+8-2x=8
8=8
this is always true, which means the equations have infinitely many common solutions.
Answer: </span><span>There are infinitely many solutions.</span><span>
</span>
Answer:
coefficient of x: 2
coefficient of y: 3
coefficient of z: -7
Step-by-step explanation:
To solve this problem, first we need to sum the polynomials A and B, then we need to check the coefficients of x, y and z.
The sum of the polynomials is:
A + B = 5z + 4x^2 - 6y + 2 + 2x + 9y - 12z - 2
A + B = 4x^2 + 2x + 3y - 7z
So, the coefficients are:
coefficient of x^2: 4
coefficient of x: 2
coefficient of y: 3
coefficient of z: -7
What you can do is multiply 400*20= 8,000. From here, we know that 399*20 is just one less group of 20 than 400. Therefore, we can subtract (1*20) from 8,000 to get the final answer.
8000-20=7980
Hope this helps!
