Answer:
65 square units
Step-by-step explanation:
Assuming point O refers to the origin, the segment OA has slope ...
m = Δy/Δx = 5/1 = 5
Then the slope of the perpendicular line AP will be the negative reciprocal of this, -1/5.
The x-intercept of the line through (1, 5) with slope -1/5 can be found by setting y=0 in the point-slope equation for that line:
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
0 -5 = (-1/5)(x -1)
25 = x -1 . . . . . . . multiply by -5
x = 26 . . . . . . . add 1
This means ΔOAP has a base length (OP) of 26 units and an altitude of 5 units. Its area is given by the formula ...
A = 1/2bh
A = 1/2(26)(5) = 65 . . . . square units
Triangle OAP has an area of 65 square units.
It was 1.5 times the length of Noah's bike ride as Mai’s bike ride.
The problem we dealing with is related to mixed numbers which are referred to as mixed numbers and could be the whole number, and a proper division spoke together. It for the most part speaks to a number between any two whole numbers.
Since we are providing mai's rate which is 6 3/4 miles and Noah's rate of 4 1/2 miles, So in order to find the time the length of Noah's ride is compared to Mal's, we just need to divide the given rates by each other
=> 6 3/4 divided by 4 1/2,
=> 27/4 divided by 9/2, (The result is an improper fractions)
=> 27/4 X 2/9
=>3/2
=> 1.5
To know more about mixed numbers refer to the link brainly.com/question/24137171?referrer=searchResults.
#SPJ1
9514 1404 393
Answer:
19 years
Step-by-step explanation:
The compound interest formula tells you the future value of principal P invested at annual rate r compounded n times per year for t years is ...
A = P(1 +r/n)^(nt)
Solving for t, we get ...
t = log(A/P)/(n·log(1 +r/n))
Using the given values, we find t to be ...
t = log(2.13022)/(4·log(1 +0.04/4)) ≈ 19.000
The investment will be worth $213,022 after 19 years.
The area of a circle is the size of the 2-dimensional space inside the circle's
closed curved boundary.
The area can be calculated in terms of known linear measurements of the circle:
-- Area = (π) x (radius)²
-- Area = (π/4) x (diameter)²
-- Area = (1/2) x (circumference) x (radius)
-- Area = (1/4) x (circumference) x (diameter)
Any of these formulas will give you the area. The one you decide to use
just depends on what you already know about the circle.
13987.17=p(1+0.032/2)^2*7
Solve for p
P=13,987.17÷((1+0.032÷2)^(14))
P=11,199.99
