4/3 is not a valid fraction for this type of problem so I am going to assume that it is 3/4. If this is a case she will need 1 and 1/4 more cups of sugar.
$5000 is the correct answer.
The formula for simple interest is I=prt. Anson gets 10% interest; 10% = 10/100 = 0.1. This gives us
I=p(0.1)(1) = 0.1p.
Jenny borrows 1000 more than Anson, so her principal is p+1000. Her rate is 8%; 8%=8/100 = 0.08. She invests it for half of a year, or 0.5. Together this gives us:
I=(p+1000)(0.08)(0.5)
= (p+1000)(0.04)
= p*0.04 + 1000*0.04
= 0.04p + 40
Together they earned 740:
0.1p+0.04p+40 = 740
Combine like terms:
0.14p+40 = 740
Subtract 40 from both sides:
0.14p+40-40 = 740-40
0.14p = 700
Divide both sides by 0.14:
0.14p/0.14 = 700/0.14
p = 5000
This is how you get your answer you take 43.9 and divide it by 12.7 which gives you 3.4566 and add .52 to get 3.9766 then you multiply that number by 12.7 which gives you 50.5 so $50.5 is how much she would have originally payed.
Y-intercept is 5 and slope 11
Answer:
Step-by-step explanation:
There are three right-angled triangles and two of them have x in their dimensions:
The largest one with one side at 48+x and another at 10
The smallest one with one side at x and another at 10
Those 2 right-angled triangles are similar because of AAA - both have a right-angle and share a common angle.
So their sides are in the same ratio:
x / 10 = 10 / (48+x)
x*(48+x) = 10*10
x^2 + 48x - 100 = 0
(x+50)*(x-2) = 0
x = -50 or 2
As length cannot be negative, x = 2
