<span>✡
Answer: x=6.72 </span><span>✡
- - Solve:
</span><span><span>- - First step is to cross-multiply:
</span>- </span><span>
-
- - The next step is to divide both sides by the number </span><span>7.5
-
</span>
<span>- - x=6.72</span>
✡Hope this helps<span>✡</span>
Option A
The simple interest earned over 6 years is $ 4050
<em><u>Solution:</u></em>
Martha invested a principal amount of $15,000 into a savings account that earns simple interest at a rate of 4.5% per year
<em><u>The formula for simple interest is given as:</u></em>
Where, "p" is the principal and "n" is the number of years and "r" is the rate of interest
From given,
p = 15000
r = 4.5 %
n = 6 years
<em><u>Substituting the values we get,</u></em>
Thus simple interest earned over 6 years is $ 4050
The point-slope form of the equation for a line can be written as
... y = m(x -h) +k . . . . . . . for a line with slope m through point (h, k)
Your function gives
... f'(h) = m
... f(h) = k
a) The tangent line is then
... y = 5(x -2) +3
b) The normal line will have a slope that is the negative reciprocal of that of the tangent line.
... y = (-1/5)(x -2) +3
_____
You asked for "an equation." That's what is provided above. Each can be rearranged to whatever form you like.
In standard form, the tangent line's equation is 5x -y = 7. The normal line's equation is x +5y = 17.
Answer:
Natalie bought 500 apples at $0.40 each, then she pays $0.40 500 times, this means that the total cost of the 500 apples is:
Cost = 500*$0.40 = $200
Now she threw away n apples from the 500 apples, then the number of apples that she has now is:
apples = 500 - n
And she sells the remaining apples for $0.70 each.
a) The amount that she gets by selling the apples is:
Revenue = (500 - n)*$0.70
b) We know that she did not make a loss, then the revenue must be larger than the cost, this means that:
cost ≤ revenue
$200 ≤ (500 - n)*$0.70
c) We need to solve the inequality for n.
$200 ≤ (500 - n)*$0.70
$200/$0.70 ≤ (500 - n)
285.7 ≤ 500 - n
n + 285.7 ≤ 500
n ≤ 500 - 285.7
n ≤ 214.3
Then the maximum value of n must be equal or smaller than 214.3
And n is a whole number, then we can conclude that the maximum number of rotten apples can be 214.
