Answer: $434, 306.4
Step-by-step explanation:
From the information provided,
P= $163,000
R= 14% ; 14/100= 0.14
T=7 years
Using the formula,
A= Pr e^t
A= 163000*e^(0.14*7)
= 163000*e^(0.98)
= $434,306.4
Answer:
y = negative four-thirds x + StartFraction 31 Over 3 EndFraction
y = 2 x + 7
Step-by-step explanation:
Let x denote the smaller number and y denote the larger number.
Part 1
The equation presented indicates that four times some number added to three times a larger number equals 31.
This translates to:
From here, solving for y yields:
- 4x + 3y=31 ⇒ 3y= -4x+31 ⇒ y= (-4x+31)/3 = - 4/3x + 31/3
⇒ y= - 4/3x + 31/3
This indicates the correct response for this scenario:
y = negative four-thirds x + StartFraction 31 Over 3 EndFraction
Part 2
The statement that seven subtracted from the larger number equals twice the smaller number translates to:
y-7= 2x
Further, solving for y yields:y-7= 2x ⇒
y= 2x+ 7
The correct answer for this equation is:
y = 2 x + 7
A) The product of x and y equals 196. Thus, A) x is equal to 196 divided by y.
B) The sum of x and y is 35. By substituting A) into B), we have
B) 196 divided by y plus y equals 35. Multiplying both sides by y yields
B) 196 plus y squared equals 35y. This results in B) y squared minus 35y plus 196 equals 0.
Therefore, the solutions are X1 = 28 and X2 = 7.
The function
represents a parabola positioned at the vertex (5, 3).
Attached here is the graph depicting this function.
Part A
To identify the values of x that make 2x−1 positive
⇒ 2x - 1 > 0
⇒ 2x > 1
⇒ x > 
As a result, for any x greater than
, the expression 2x-1 is positive
Part B
To find values of y making 21−37 negative
⇒ 21-3y < 0
⇒ 21 < 3y
⇒ 7 < y
Thus, for all y values exceeding 7, the expression 21-3y is negative
Part C
To identify values of c that digit 5−3c greater than 80
⇒ 5-3c > 80
⇒ -3c > 75
⇒ -c > 25
⇒ c < -25
Therefore, for values of c less than -25, the expression 5-3c surpasses 80
