15 points!!! Find the volumes of these three figures
1 answer:
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Answer:
A = $44,778.84
A = P + I where
P (principal) = $10,300.00
I (interest) = $34,478.84 or 12 months
Step-by-step explanation:
Given: Yvonne bought a car for $10,300. After 3 years, the value of the car was $6,250. 50%
To find: In approximately what number of additional months will the value of Yvonne’s car be 50% of the price she originally paid?
Formula: ×
Solution: Divide your interest rate by the number of payments you’ll make in the year (interest rates are expressed annually). So, for example, if you’re making monthly payments, divide by 12. Multiply it by the balance of your loan, which for the first payment, will be your whole principal amount.
(This gives you the amount of interest you pay the first month.)
First, convert R as a percent to r as a decimal
r = R/100
r = 50/100
r = 0.5 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 10,300.00(1 + 0.5/12)(12)(3)
A = 10,300.00(1 + 0.041666667)(36)
A = $44,778.84
Henceforth:
The total amount accrued, principal plus interest, with compound interest on a principal of $10,300.00 at a rate of 50% per year compounded 12 times per year over 3 years is $44,778.84.
Answer:
Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.
Step-by-step explanation:
Given:
Let
A(x₁ , y₁) = (1 , 4) and
B( x₂ , y₂ ) = (-1 , 2)
To Find:
θ = ?
Solution:
Slope of a line when two points are given is given bt
Substituting the values we get
Also Slope of line when angle ' θ ' is given as
Substituting Slope = 1 we get
We Know That for angle 45°,
tan 45 = 1
Therefore
Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.