Answer: The future value of the investment after 2 years is $807.8
Step-by-step explanation:
The formula for simple interest is expressed as
I = PRT/100
Where
P represents the principal or amount invested.
R represents interest rate
T represents time in years
I = interest after t years
From the information given
T = 2 years
P = $700
R = 7.7%
Therefore
I = (700 × 7.7 × 2)/100
I = 10780/100
I = 107.8
The total amount in the account after 2 years would be
700 + 107.8 = $807.8
Answer:
The remaining interior angles of this triangle are 140º and 10º
Step-by-step explanation:
The sum of the interior angles of a triangle is always 180º.
A triangle has 3 angles. In this problem, we have one of them, that i am going to call A1 = 30º.
The sum of a interior angle with it's respective exterior angle is also always 180º.
We have that one of the exterior angles is equal to 40°. So it's respective interior angle is
40º + A2 = 180º
A2 = 180º - 40º
A2 = 140º
Now we have two interior angles, and we know that the sum of the 3 interior angles is 180º. So:
A1 + A2 + A3 = 180º
A3 = 180º - A1 - A2
A3 = 180º - 30º - 140º
A3 = 180º - 170º
A3 = 10º
Answer:
CLASS FREQUENCIES RELATIVE FREQUENCIES
A 60 0.5
B 12 0.1
C 48 0.4
TOTAL 120 1
Step-by-step explanation:
Given that;
the frequencies of there alternatives are;
Frequency A = 60
Frequency B = 12
Frequency C = 48
Total = 60 + 12 + 48 = 120
Now to determine our relative frequency, we divide each frequency by the total sum of the given frequencies;
Relative Frequency A = Frequency A / total = 60 / 120 = 0.5
Relative Frequency B = Frequency B / total = 12 / 120 = 0.1
Relative Frequency C = Frequency C / total = 48 / 120 = 0.4
therefore;
CLASS FREQUENCIES RELATIVE FREQUENCIES
A 60 0.5
B 12 0.1
C 48 0.4
TOTAL 120 1
The answer to this is 3645
Answer: $2 or $9
<u>Step-by-step explanation:</u>
Revenue (R) = $1800 , x = 1100 - 100p
R = xp
1800 = (1100 - 100p)p <em>substituted x with 1100 - 100p</em>
1800 = 1100p - 100p² <em>distributed p into 1100 - 100p</em>
100p² - 1100p + 1800 = 0 <em>added 100p² & subtracted 1100p</em> on both sides
p² - 11p + 18 = 0 <em>divided both sides by 100</em>
(p - 2) (p - 9) = 0 <em>factored quadratic equation</em>
p = 2 p = 9 <em>applied Zero Product Property to solve for p</em>
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