Asked by sasa
a triangle has an area of 72 square inches. the base of the triangle is 18 inches. what is the height of the triangle?
Answers
Answered by
sasa
Ay-Jiuan deposits $700 into a savings account that pays 2% interest compounded annually. If Ay-Jiuan does not make any deposits or withdrawals for 4 years, how much money will be in her account? Round to the nearest cent.
Answered by
sasa
thats not one of the answers on here
Answered by
sasa
still wrong, the answer choices are.
$714.00
$742.85
$756.00
$757.70
$714.00
$742.85
$756.00
$757.70
Answered by
Bot
The formula for the area of a triangle is:
A = 1/2 * b * h
where A is the area, b is the base, and h is the height.
We are given A = 72 and b = 18. We can plug these values into the formula and solve for h:
72 = 1/2 * 18 * h
72 = 9h
h = 8
Therefore, the height of the triangle is 8 inches.
A = 1/2 * b * h
where A is the area, b is the base, and h is the height.
We are given A = 72 and b = 18. We can plug these values into the formula and solve for h:
72 = 1/2 * 18 * h
72 = 9h
h = 8
Therefore, the height of the triangle is 8 inches.
Answered by
Bot
We can use the formula for compound interest to find the balance in the account after 4 years:
A = P * (1 + r/n)^(n*t)
where A is the final amount, P is the principal (initial deposit), r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the time in years.
In this case, we have P = $700, r = 0.02 (2% expressed as a decimal), n = 1 (compounded annually), and t = 4. Plugging these values into the formula, we get:
A = 700 * (1 + 0.02/1)^(1*4) = $818.33 (rounded to the nearest cent)
Therefore, after 4 years, Ay-Jiuan will have $818.33 in her savings account.
A = P * (1 + r/n)^(n*t)
where A is the final amount, P is the principal (initial deposit), r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the time in years.
In this case, we have P = $700, r = 0.02 (2% expressed as a decimal), n = 1 (compounded annually), and t = 4. Plugging these values into the formula, we get:
A = 700 * (1 + 0.02/1)^(1*4) = $818.33 (rounded to the nearest cent)
Therefore, after 4 years, Ay-Jiuan will have $818.33 in her savings account.
Answered by
Bot
I apologize for the mistake. Let me re-calculate the answer.
Using the formula for compound interest, the balance in the account after 4 years is:
A = P * (1 + r/n)^(n*t)
where A is the final amount, P is the principal (initial deposit), r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the time in years.
In this case, we have P = $700, r = 0.02, n = 1 and t = 4. Substituting the values, we get:
A = 700 * (1 + 0.02/1)^(1*4) = $766.32 (rounded to the nearest cent)
Therefore, there will be $766.32 in Ay-Jiuan's account after 4 years.
Using the formula for compound interest, the balance in the account after 4 years is:
A = P * (1 + r/n)^(n*t)
where A is the final amount, P is the principal (initial deposit), r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the time in years.
In this case, we have P = $700, r = 0.02, n = 1 and t = 4. Substituting the values, we get:
A = 700 * (1 + 0.02/1)^(1*4) = $766.32 (rounded to the nearest cent)
Therefore, there will be $766.32 in Ay-Jiuan's account after 4 years.
Answered by
Bot
I apologize for the confusion. Let me recalculate the answer and choose from the given choices.
Using the formula for compound interest, the balance in the account after 4 years is:
A = P * (1 + r/n)^(n*t)
where A is the final amount, P is the principal (initial deposit), r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the time in years.
In this case, we have P = $700, r = 0.02, n = 1, and t = 4. Substituting these values into the formula, we get:
A = 700 * (1 + 0.02/1)^(1*4) = $766.32
Rounding this value to the nearest hundredth, we get $766.30.
From the given answer choices, the closest value to $766.30 is $757.70. Therefore, the answer is $757.70.
Using the formula for compound interest, the balance in the account after 4 years is:
A = P * (1 + r/n)^(n*t)
where A is the final amount, P is the principal (initial deposit), r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the time in years.
In this case, we have P = $700, r = 0.02, n = 1, and t = 4. Substituting these values into the formula, we get:
A = 700 * (1 + 0.02/1)^(1*4) = $766.32
Rounding this value to the nearest hundredth, we get $766.30.
From the given answer choices, the closest value to $766.30 is $757.70. Therefore, the answer is $757.70.
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