Answer:
(3, 50) and (14,303)
Step-by-step explanation:
Given the system of equations;
y=23x–19 ....1
x²–y= – 6x–23 ...2
Substitute 1 into 2;
x²–(23x-19)= – 6x–23
x²–23x+19= – 6x–23 .
x²-23x + 6x + 19 + 23 = 0
x² - 17x + 42 = 0
Factorize;
x² - 14x - 3x + 42 = 0
x(x-14)-3(x-14) = 0
(x-3)(x-14) = 0
x = 3 and 14
If x = 3
y = 23(3) - 19
y = 69-19
y = 50
If x = 14
y = 23(14) - 19
y = 322-19
y = 303
Hence the coordinate solutions are (3, 50) and (14,303)
Answer:
6%.
Step-by-step explanation:
We have been given that Tammy deposited $520 in the bank account that earns simple interest every year after 5 years she had earned $156.
To find the interest rate we will use simple interest formula.

I= Interest.
P= Principal amount.
r=Annual interest rate (in decimal form).
T= Time in years.
We have been given that I=156, T=5, P=520
Upon substituting our values in above formula we will get,




Let us multiply 0.06 by 100 to convert annual interest rate in percentage.

Therefore, the annual interest rate was 6%.
A. X ~ N(66, 6.25)
b.


Using a standard normal probability table to find probability values for the z-scores, we get:
P(65 < X < 69) = 0.1554 + 0.3849 = 0.5403
c. z= 0.524 and -0.524

1.31 = X - 66
X = 67.31
When z = -0.524, X = 64.69.
P(64.69 < X < 67.31) = 0.4
Floyd's contract consists of
(i) $200 per month fixed.
(i) $12 per album sold.
Let x = number of albums sold last month.
Because total earnings is $644, therefore
200 + 12x = 644
To find x, do the following:
Subtract 200 from each side.
12x = 644 - 200 = 444
Divide each side by 12.
x = 444/12 = 37
Answer:
The equation is 12x + 200 = 644.
The solution for x (number of albums sold) is 37.
You would divide 6 by 30.
6/30=0.2
Therefore the answer is D