Answer:
x=1 y=7
Step-by-step explanation:
−5x+2y=9
y=7x
Substitute the second equation into the first
-5x +2(7x) = 9
Distribute
-5x +14x = 9
Combine like terms
9x=9
Divide by 9
9x/9 =9/9
x= 1
Now find y
y = 7(1)
y = 7
Answer:
I think the answer is A.
Step-by-step explanation:
Original shape: 7 x 5 x 225 x 6 x 12 x 45 = 25,515,000
A: 9 x 5 x 225 x 6 x 35 x 12 = 25,515,000
B: 14 x 10 x 255 x 12 x 24 x 45 = 462,672,000
C: 9 x 7 x 225 x 8 x 15 x 45 = 76,545,000
D: 8 x 4 x 225 x 6 x 12 x 35 = 18,144,000
This is probably not the way you would solve it but this is how I did it. Basically I multiplied all the numbers in each shape together.
<em>(also i'm not quite sure if this is right >.< sorry!)</em>
Answer:
$1445.11
Step-by-step explanation:
The formula to use would be:
![F=P(1+r)^t](https://tex.z-dn.net/?f=F%3DP%281%2Br%29%5Et)
Where
F is the future amount (what we want to find)
P is the present (principal) amount (this is 400)
r is the rate of interest, monthly (1.8% or 0.018)
t is the time in months (6 years = 6 * 12 = 72)
Now substituting, we get:
![F=P(1+r)^t\\F=400(1+0.018)^{72}\\F = 400(1.018)^{72}\\F=1445.11](https://tex.z-dn.net/?f=F%3DP%281%2Br%29%5Et%5C%5CF%3D400%281%2B0.018%29%5E%7B72%7D%5C%5CF%20%3D%20400%281.018%29%5E%7B72%7D%5C%5CF%3D1445.11)
After 6 years, the CD will be worth $1445.11
Answer:
7.)
Therefore FT is 33 unit.
8.)
Therefore SU is 98 unit.
Step-by-step explanation:
7.)
Given:
ΔFUT ~ ΔFHG
FU = 39
FH = 130
FG = 110
To Find:
FT = ?
Solution:
ΔFUT ~ ΔFHG ............Given
If two triangles are similar then their sides are in proportion.
![\dfrac{FU}{FH} =\dfrac{FT}{FG} \textrm{corresponding sides of similar triangles are in proportion}\\](https://tex.z-dn.net/?f=%5Cdfrac%7BFU%7D%7BFH%7D%20%3D%5Cdfrac%7BFT%7D%7BFG%7D%20%5Ctextrm%7Bcorresponding%20sides%20of%20similar%20triangles%20are%20in%20proportion%7D%5C%5C)
Substituting the values we get
Therefore FT is 33 unit.
8.)
Given:
ΔSTU ~ ΔFED
ST= 63
FE = 9
FD = 14
To Find:
SU = ?
Solution:
ΔSTU ~ ΔFED ............Given
If two triangles are similar then their sides are in proportion.
![\dfrac{ST}{FE} =\dfrac{SU}{FD} \textrm{corresponding sides of similar triangles are in proportion}\\](https://tex.z-dn.net/?f=%5Cdfrac%7BST%7D%7BFE%7D%20%3D%5Cdfrac%7BSU%7D%7BFD%7D%20%5Ctextrm%7Bcorresponding%20sides%20of%20similar%20triangles%20are%20in%20proportion%7D%5C%5C)
Substituting the values we get
![\dfrac{63}{9} =\dfrac{SU}{14}\\\\SU=\dfrac{882}{9}=98\\\\SU=98\ unit](https://tex.z-dn.net/?f=%5Cdfrac%7B63%7D%7B9%7D%20%3D%5Cdfrac%7BSU%7D%7B14%7D%5C%5C%5C%5CSU%3D%5Cdfrac%7B882%7D%7B9%7D%3D98%5C%5C%5C%5CSU%3D98%5C%20unit)
Therefore SU is 98 unit.