A florist gathered data about the weekly number of flower deliveries he made to homes and to businesses for several weeks. He us
1 answer:
You might be interested in
Answer:
The total length of the Dogwood Trail is 24 kilometers
The difference between the lengths of the trails is 6 kilometers
Step-by-step explanation:
<u><em>The complete and correct question is</em></u>
The diagram shows two different nature trails in a state park. The solid line shows the Dogwood Trail. The dashed line shows the Elm Trail.
Which of the following statements are true about the lengths of the trails? Check all that apply.
1.The total length of the Dogwood Trail is 16 kilometers.
2.The total length of the Dogwood Trail is 24 kilometers.
3.The Elm Trail is longer than the Dogwood Trail.
4.The difference between the lengths of the trails is 2 kilometers.
5.The difference between the lengths of the trails is 6 kilometers.
<u><em>The picture in the attached figure</em></u>
step 1
Find the value of a
Applying the Pythagorean Theorem in the right triangle ABC
step 2
Find the value of b
Applying the Pythagorean Theorem in the right triangle CDE
step 3
Find the total length of the Dogwood Trail (solid blue line)
The total length is equal to
---> by segment addition postulate
substitute the given values
substitute the value of a and b
step 4
Find the total length of the Elm Trail (dashed red line)
The total length is equal to
---> by segment addition postulate
substitute the given values
<u><em>Verify the following statements</em></u>
Part 1) The total length of the Dogwood Trail is 16 kilometers
The statement is false
Because
The total length of the Dogwood Trail is 24 kilometers (see the explanation)
Part 2) The total length of the Dogwood Trail is 24 kilometers
The statement is true (see the explanation)
Part 3) The Elm Trail is longer than the Dogwood Trail
The statement is false
Because
The Elm Trail is smaller than the Dogwood Trail
Part 4) The difference between the lengths of the trails is 2 kilometers
The statement is false
Because
The difference is equal to
Part 5) The difference between the lengths of the trails is 6 kilometers
The statement is true
Because
The difference is equal to
It looks like you're given
Then by the additivity of definite integrals this is the same as
(presumably this is what the hint suggests to use)
Then by the fundamental theorem of calculus, we have
Answer:
$311.74
Step-by-step explanation:
A financial calculator computes the payment amount to be $311.74.
___
Your graphing calculator may have the capability to do this. Certainly, such calculators are available in spreadsheet programs and on the web.
___
The appropriate formula is the one for the sum of terms of a geometric series.
Sn = a1·((1+r)^n -1)/(r) . . . . . where r is the monthly interest rate (0.005) and n is the number of payments (480). Filling in the given numbers, you have ...
$620827.46 = a1·(1.005^480 -1)/.005 = 1991.4907·a1
Then ...
$620827.46/1991.4907 = a1 ≈ $311.74
