A = P(1+i)ⁿ, where P = original value, " i " = growth rate, n= #years; A= actual value:
A = 5000(1+0.11)¹⁰
A= 5000(1.11)¹⁰
A = $14,197.1
Answer:
Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5.
Step-by-step explanation:
A child is hopping along a sidewalk. The ratio table below shows the comparison between the number of hops and the distance traveled. Hopping Number of hops Distance traveled (ft) 20 30 50 75 80 120 150 ?
Which statement correctly explains how to find the distance traveled after 150 hops? Subtract 120 – 75 to get 45, then add that number to 120. Add 30 + 75 + 120. Find the ratio of hops to distance traveled (1:1.5), then multiply 150 by 1.5. Find the ratio of hops to distance traveled (1:1.5), then divide 150 by 1.5.
Solution:
The table is:
No. of hops Distance traveled
20 30
50 75
80 120
150 ?
From the table, for every 30 increase in the number of hops, the distance travelled increase by 45 feet
Find the slope of the line:
m = (y2-y1) / (x2-x1)
m=slope of the line
y2-y1 = change in distance travelled
x-2 - x1 = Change in number of hops
m = (y2-y1) / (x2-x1)
m = (75-30) / (50-20)
=45 / 30
m = 1.5
Then, the line is:
y = 1.5x
We substitute x = 150
y = 1.5x
y = 1.5 × 150
y = 225
Answer:
10 cm
Step-by-step explanation:
The larger polygon is also a regular 6-sided polygon, so each side is 1/6 of the perimeter length:
(60 cm)/6 = 10 cm . . . length of a side
Mel moves 50-35=15 feet in 5-2=3 seconds. Descent rate=15/3=5 ft/sec.
Victor moves 60-50=10 feet in 4-1=3 seconds. Descent rate=10/3=3⅓ ft/sec. Mel is faster at 5 ft/sec.
We are given with the expression y<span> = b cos t + t2 sin t and is asked to differentiate the function in terms of t. Based in the power law and law of products, we apply these to the given expresssion. the derivative is y' = -b sin t + t^2 * (cos t) + sin t * 2t. This is equal to </span>y' = sin t (-b +2t) + t^2 cos t.
