Answer:
1
2
− 1
9
8
Step-by-step explanation:
Greetings I am BrotherEye
Answer: How find the volume of a triangular pyramid?
Triangular pyramid volume formula
In words: the volume of a triangular pyramid is one-third of the product of the base area and the pyramid's height
Step-by-step explanation:
Now in mathematical terms Use the formula for the volume of a triangular pyramid: V=13Ah , where A = area of the triangular base, and H = height of the pyramid.
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It will take 19 years and 6 months for the account value to reach 2900 dollars
Step-by-step explanation:
Given
Principal amount = 1400 dollars
Rate = 5.5 %
Final value = A = 2900
We have to find t
So,
The formula for simple interest is:

Putting values

Dividing both sides by 0.055

Rounding off to nearest tenth
19.5 years
Hence,
It will take 19 years and 6 months for the account value to reach 2900 dollars
Keywords: Interest, simple interest
Learn more about interest at:
#LearnwithBrainly
Answer:
1) The terminal side lies in quadrant 2
2) cosФ = -15/17
3) tanФ = -8/15
Step-by-step explanation:
1) First, we should realize that since sinФ = 8/17, it is positive. Thus, Ф must be in quadrants 1 or 2. And since cosФ is negative, Ф must be in quadrant 2 because cos, sin, and tan are all positive in quadrant 1
2) Next, we must realize that the sides given are a 8-15-17 right triangle. And in this case, since sinФ = 8/17, cosФ should be 15/17. But since cosФ is negative, cosФ = -15/17
3) Lastly, tanФ is opposite/adjacent. Since opposite of Ф is 8 and adjacent of Ф is 15, then tanФ should be 8/15, but since Ф is in quadrant 2, then tanФ is -8/15
For simple interest, the formula is I = PRT, where I = interest, P = principal borrowed or deposited, R = rate as a decimal, and T = time in years.
Your information:
I = (870)(0.08)(5)
I = 348
Add the interest to the principal for your total balance
348 + 870 = $1218 will be the total balance in the account.