One option in a roulette game is to bet $2 on red. (There are 18 red compartments, 18 black compartments, and two compartmen
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Answer:
The principal amount was $23,393.45
Step-by-step explanation:
The total amount paid on a 35 year loan was $98,000 at the rate of interest 4.1%
We will calculate Principal amount by this formula
Where A = amount (98,000)
P = Principal amount (P)
r = rate of interest 4.1% (0.041)
n = number of compounding interest monthly (12)
t = time (35 years)
98,000 = P(4.189386)
= 4.189386P = 98,000
P =
P = 23,392.4494 ≈ $23,392.45
The principal amount was $23,393.45
19 small mowers and 11 large mowers are sold
<em><u>Solution:</u></em>
Let "a" be the number of small mowers sold
Let "b" be the number of large mowers sold
Cost of each small mower = $ 249.99
Cost of each large mower = $ 329.99
<em><u>30 total mowers were sold</u></em>
Therefore,
a + b = 30
a = 30 - b ------------- eqn 1
<em><u>The total sales for a given year was $8379.70</u></em>
<em><u>Thus we frame a equation as:</u></em>
number of small mowers sold x Cost of each small mower + number of large mowers sold x Cost of each large mower = 8379.70
249.99a + 329.99b = 8379.70 ---------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
<em><u>Substitute eqn 1 in eqn 2</u></em>
249.99(30 - b) + 329.99b = 8379.70
7499.7 - 249.99b + 329.99b = 8379.70
80b = 8379.70 - 7499.7
80b = 880
Divide both sides by 80
b = 11
<em><u>Substitute b = 11 in eqn 1</u></em>
a = 30 - 11
a = 19
Thus 19 small mowers and 11 large mowers are sold