Answer:
12% increase
Step-by-step explanation:
Each year the sales increase by $50,000.
430,000 + 50,000 = 480,000
480,000 + 50,000 = 530,000
To find the percent change, write a proportion using 2 of the years.
To solve for x, cross multiply the numerator with the denominator of each fraction.
480,000(100) = 430,000(x)
48,000,000 = 430,000x
111.62 = x
Rounded this is 112% or 12% above 100%.
Answer:
15
Step-by-step explanation:
The product of distances from P to the two intersection points along the same secant (tangent) is the same for each. For this purpose, the tangent can be considered to intersect the circle twice at the same point. That is ...
PN·PM = PQ²
x(2x +7) = (x +6)²
2x² +7x = x² +12x +36
x² -5x -36 = 0
(x -9)(x +4) = 0 . . . . . . . true for x=9, x=-4
The relevant value of x is 9.
PQ = x +6 = 9 +6
PQ = 15
Hello! So, in order to solve this question, we should do 500/4. 500/4 = 125. Multiply 125 by 3 and you get 375. The horse costs $125 and the carriage costs $375.
Answer:
B. $200,000
Step-by-step explanation:
Let x be the amount placed at 5.5%
3x is the amount placed at 5%
This leaves the rest for the 4.5 % 500000- x - 3x = 500000-4x
Assuming simple interest
I = PRT where I is interest, P is principle, rate is rate and t is time
Interest for the 5.5% for 1 year is
I = x * .055 * 1 = .055x
Interest for the 5.% for 1 year is
I = 3x * .05 * 1 = .15x
Interest for the 4.5% for 1 year is
I = 500000-4x * .045 * 1 = 22500 - 0.18 x
Add the interest together to get the income for 1 year
.055x+ .15x+22500 - 0.18 x=25,000
Combine like terms
0.025x+22500=25000
Subtract 22500
.025x =2500
Divide by .025
x =100000
short term notes is 100000
3*x = 300000 = government bonds
The rest is utility bonds 500000- 100000-300000 = 100000
We want how much more in government bond than utility bond
300000 -100000 = 200000
<h3><u>After diving, we're left with the quotient of 5x - 12 + (25/(x + 3))</u></h3><h3><u>The remainder is 25.</u></h3>
