A 10 -foot ladder is leaning against a building. The base of the ladder is 3 feet from the side of the building. How high does t
1 answer:
Answer:
The ladder is 5.20 feet tall on the side of the building
Step-by-step explanation:
Here, we simply want to calculate the height the ladder is from the base of the building
To get this, we need a pictorial representation of what we have here.
From what we have here, we have a right-angled triangle with a hypotenuse of 10 foot and a base of 3 feet
We apply Pythagoras’ theorem to get how far is the tip of the ladder from the base of building
Pythagoras’ stated that the square of the hypotenuse equals the sum of the squares of the two other sides
In this case, let the height be x
So;
x^2 + 3^2 = 6^2
x^2 = 6^2 - 3^2
x^2 = 36 - 9
x^2 = 27
x = √27
x = 5.196 feet
which to two decimal places is 5.20 feet
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$991.38 × 0.199/12 = $16.44
The balance subject to the next month's finance charge will be
$991.38 +16.44 -410.00 = $597.82
The finance charge at the end of the second month will be
$597.82 × 0.199/12 = $9.91
The balance remaining after the second payment will be
$597.82 +9.91 -410.00 = $197.73
The finance charge applied at the end of the third month is
$197.73 × .199/12 = $3.28
so Marilyn can make one final payment of
$197.73 +3.28 = $201.01
to pay off the balance.
In all, Marilyn has paid 2×$410.00 +201.01 =
$1021.01 . . . . . . . . corresponds to the first choice
_____
In real life, Marilyn's credit card may not accrue any finance charge until after the first statement on which the charge appears. Thus the total cost of the purchase may be only $1004.02. The attached spreadsheet shows the beginning balance and the finance charges for each month for the two different scenarios.
$991.38 × 0.199/12 = $16.44
The balance subject to the next month's finance charge will be
$991.38 +16.44 -410.00 = $597.82
The finance charge at the end of the second month will be
$597.82 × 0.199/12 = $9.91
The balance remaining after the second payment will be
$597.82 +9.91 -410.00 = $197.73
The finance charge applied at the end of the third month is
$197.73 × .199/12 = $3.28
so Marilyn can make one final payment of
$197.73 +3.28 = $201.01
to pay off the balance.
In all, Marilyn has paid 2×$410.00 +201.01 =
$1021.01 . . . . . . . . corresponds to the first choice
_____
In real life, Marilyn's credit card may not accrue any finance charge until after the first statement on which the charge appears. Thus the total cost of the purchase may be only $1004.02. The attached spreadsheet shows the beginning balance and the finance charges for each month for the two different scenarios.