9514 1404 393
Answer:
C. (9, 18)
Step-by-step explanation:
Given R(3, 5), a dilation by a factor of 3 will multiply each coordinate to give ...
(9, 15)
Then the translation up by 3 will give you the image coordinates ...
(x, y) ⇒ (x, y+3)
(9, 15) ⇒ (9, 15 +3) = (9, 18)
The coordinates of R' are (9, 18), matching choice C.
_____
<em>Comment on multiple choice answers</em>
As it often does, here it works to "guess" the answer that has the coordinates that are most-repeated. An x-coordinate of 9 is part of 3 answer choices; a y-coordinate of 18 is the only repeated value in the answer choices. If you were to guess, an appropriate guess would be (9, 18). That happens to be correct in this case.
Interest paid after 30 years is $494,546.99.
Solution:
Principal (P) = $195,000
Interest rate (r) = 4.3%
Time (t) = 30 years
n = number of times interest calculated per year
n = 1
Compound interest formula:
![$A=P\left(1+\frac{r}{n}\right)^{n t}](https://tex.z-dn.net/?f=%24A%3DP%5Cleft%281%2B%5Cfrac%7Br%7D%7Bn%7D%5Cright%29%5E%7Bn%20t%7D)
where A is the final amount
![$A=195000\left(1+\frac{4.3\%}{1}\right)^{1\times 30}](https://tex.z-dn.net/?f=%24A%3D195000%5Cleft%281%2B%5Cfrac%7B4.3%5C%25%7D%7B1%7D%5Cright%29%5E%7B1%5Ctimes%2030%7D)
![$A=195000\left(1+\frac{4.3}{100}\right)^{30}](https://tex.z-dn.net/?f=%24A%3D195000%5Cleft%281%2B%5Cfrac%7B4.3%7D%7B100%7D%5Cright%29%5E%7B30%7D)
![$A=195000\left(\frac{100+4.3}{100}\right)^{30}](https://tex.z-dn.net/?f=%24A%3D195000%5Cleft%28%5Cfrac%7B100%2B4.3%7D%7B100%7D%5Cright%29%5E%7B30%7D)
![$A=195000\left(\frac{104.3}{100}\right)^{30}](https://tex.z-dn.net/?f=%24A%3D195000%5Cleft%28%5Cfrac%7B104.3%7D%7B100%7D%5Cright%29%5E%7B30%7D)
A = 689546.99
Interest = Amount - Principal
= 689546.99 - 195000
= 494546.99
Interest paid after 30 years is $494,546.99.
Yo creo que es 1,504.5 gramos en total que compro María!!
Step by Step Solution
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STEP
1
:
Equation at the end of step 1
(((2y - 1)2) - 4 • (2y - 1)) + 4
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 4y2-12y+9
The first term is, 4y2 its coefficient is 4 .
The middle term is, -12y its coefficient is -12 .
The last term, "the constant", is +9
Step-1 : Multiply the coefficient of the first term by the constant 4 • 9 = 36
Step-2 : Find two factors of 36 whose sum equals the coefficient of the middle term, which is -12 .
-36 + -1 = -37
-18 + -2 = -20
-12 + -3 = -15
-9 + -4 = -13
-6 + -6 = -12 That's it
Answer:
the answer is C
Step-by-step explanation:
if there are 3 cups and he put seven in each then multiply 7 by 3 and you get 21 then take 3 away and you have 18