a) For principal amount P, interest rate r, and number of years t, the amortization formula for the monthly payment A is ...
... A = P(r/12)/(1 -(1 +r/12)^(-12t))
... A = 22500·(0.06/12)/(1 -(1 +0.06/12)^(-12·20)) ≈ 161.20
The monthly payment is $161.20.
b) After 240 payments, the amount repaid is
... $161.20·240 = $38,688
c) (22500/38688)·100% = 58.2% is paid toward principal
The remaining amount, 41.8% is paid toward interest.
⇒ Solutions
<span>To solve the given problem you first have to plug all the numbers in....
324 m</span>²<span> is the SA so 324 m</span>²<span> = 2[(5m </span>× <span>12m) + (5m </span>× <span>h) + (12m </span>× <span>h)]
You want to find the variable h so first start by dividing 342 by 2 which will make your equation simpler to solve.
= 162 m</span>²<span> = (5m </span>× <span>12m) + (5m </span>× <span>h) + (12m </span>× <span>h)
Multiply your "lw" together 5m </span>× <span>12m = 60m</span>²<span> and you have
162 m</span>² <span>= 60 m</span>²<span> + (5m </span>× <span>h) + (12m </span>× <span>h)
You can subtract 162 m</span>²<span> by 60 m</span>²<span> leaving 102 m</span>²<span> = (5m </span>× <span>h) + (12m </span>× <span>h)
Then combine your like terms of h....5m </span>× <span>h + 12m </span>× <span>h = 17m </span>× <span>h so you now have
102m</span>²<span> = 17m </span>× <span>h and to get (h) by itself to solve for it you can then divide by 17 leaving 6m = (h) making your height equal 6 meters.
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(SA/2 - lw) = (h(l+w) ...... Subtract terms not containing (h)
(SA/2 - lw) ÷ <span>(l+w) = (h) ..... Divide by the coefficient of (h) </span>
(324/2 - 5 × 12) ÷ <span>(5+12) = (h) ... Plug in the numbers
</span>
(162 - 60) ÷ <span>17 = (h) = 6 ... Answer </span>
2x+x=36
Kim's Sister age
2x+x=36 Add "x and 2x"
3x=36 Divide both sides by 3
÷3 ÷3
x=12
Kim's sister is 12 years old
Soo....
Multiply that by two to get Kim's age
12•2=24 Kim is 24 years old.
Answer: 55.5 (A.)
Step-by-step explanation:
Since angle A = 29 and angle B = 41, angle C must be equal to 110
180 = m<A + m<B + m<C
180 = 29 +41 + m<C
180 = 70 + m<C
110 = m<C
Therefore, side c must be the longest, side b must be the second longest, and side a must be the shortest.
Since side length a, angle A, and angle B are known, one can use the law of sines to solve for side b.
Law of Sines: sinA/a = sinB/b = sinC/c
sinA/a = sinB/b
sin29/41 = sin41/b
b(sin29/41) = sin41
b = 41(sin41)/(sin29)
b = 55.48
b = 55.5
Notice that in ur sequence, there is a common difference of 5...that means u add 5 to each number to get to the next number.
so 2 consecutive terms would be : x and x + 5
x + x + 5 = 503
2x + 5 = 503
2x = 503 - 5
2x = 498
x = 498/2
x = 249
x + 5 = 249 + 5 = 254
so ur 2 numbers are : 249 and 254