Answer:
x=2 and y= -3
Step-by-step explanation:
This is a simultaneous equation. To solve this type of equation, there are three methods; substitution, Elimination and Graphical.
But here, we would be using the substitution method.
3x-y=9 Equation 1
2x-y=7. Equation 2
Getting y from equation 2, we have
-y= 7-2x
Multiply both sides by -
y= 2x-7 Equation 3
Substituting y for 2x-7 in equation 1, we have
3x- (2x-7)=9
3x-2x+7=9
x+7=9
x=9-7
x=2
Substituting x as 2 in equation 3
y=2x-7
y= 2(2)-7
y= 4-7
y= -3
Answer:
28 years
Step-by-step explanation:
To find the number of years that the investment will reach $3500, we can use the formula of compound interest:
P = Po * (1+r)^t
where P is the final value, Po is the inicial value, r is the annual interest and t is the time in years.
In this question, P = 3500, Po = 1800 and r = 2.46% = 0.0246, so:
3500 = 1800 * (1+0.0246)^t
1.0246^t = 3500/1800
1.0246^t = 1.9444
Using logarithm in both sides:
log(1.0246^t) = log(1.9444)
t*log(1.0246) = 0.2888
t * 0.0106 = 0.2888
t = 0.2888 / 0.0106 = 27.2453 years
So the investment will reach $3500 after 28 years (rounding the result up, because after 27 years the investment will not reach $3500)
Answer:
Step-by-step explanation:
Use Pythagorean theorem
Base² + altitude² = hypotenuse²
Base² + 7² = 20²
Base² + 49 = 400
Base² = 400 - 49 = 351
Base = √351 = 18.73 = 18.7 mm
90*4 = 360
so all the scores need to = 360 for a 90 average
83+88+92 = 263
360-263 = 97
minimum score is a 97
Answer:k1/4+k3
k3 1/4
Step-by-step explanation:
