Answer:
Amount invested that yielded interest of 5% is $15000 and amount invested that yielded interest of 8% is $5000
Step-by-step explanation:
Johnny invested $20,000
We are told that it consisted of 2 portions because one returned an interest of 5% and the other one 8%
Now, Let x be the amount invested that earned 5% and y be the amount invested that earned 8%
Thus:
x + y = 20000 - - - (eq 1)
The total interest earned on the investment was $1150
Thus;
5%x + 8%y = 1150
This can be rewritten as;
0.05x + 0.08y = 1150 - - -(eq 2)
From eq 1, let's make x the subject.
x = 20000 - y
Putting 20000 - y for x in eq 2 gives;
0.05(20000 - y) + 0.08y = 1150
1000 - 0.05y + 0.08y = 1150
Rearranging, we have;
0.03y = 1150 - 1000
0.03y = 150
y = 150/0.03
y = 5000
Thus,
x = 20000 - 5000
x = 15000
Thus,
Amount invested that yielded 5% is $15000 and amount invested that yielded 8% is $5000
Answer:
x = 6; ∠ONP = 24°
Step-by-step explanation:
1. Find the value of x
2. Find the measures of the angles
(a) x = 2
∠ ONP = x² - 2x = 2² - 2(2) = 4 - 4 = 0
This answer does not make sense because O lies in the interior of ∠MNP.
We disregard x = 2.
(b) x = 6
∠ ONP = x² - 2x = 6² - 2(6) = 36 - 12 = 24
We simply substitute 6 into the equation:
f(6) = -2(6 - 4)² + 22
f(6) = 14
The company's profit is 14 thousand dollars
hope it helped :).
The answer is 296.
explanation-
1 meter = 100 centimeters
so 3 meters would equal 300 cm
now 300-4 = 296.
which would be how much she used
Answer:
The graph that best represents the given equation in the attached figure
Step-by-step explanation:
we have
Find the y-intercept
Remember that the y-intercept is the value of y when the value of x is equal to zero
For x=0
substitute
The y-intercept is the point (0,2)
The given function is increasing, because the y-value increases as the x-value increases. The function tends to go up as it goes along
therefore
The graph that best represents the given equation in the attached figure
