Answer:
$13,795
Step-by-step explanation:
15500/x=100/11
(15500/x)*x=(100/11)*x - we multiply both sides of the equation by x
15500=9.0909090909091*x - we divide both sides of the equation by (9.0909090909091) to get x
15500/9.0909090909091=x
1705=x
x=1705
now we have:
11% of 15500=1705
X: earn per hour during the week
y: earn per hour during the weekend
13x + 14y = 250.90
15x + 8y = 204.70
Multiply the first equation by 4 and the second equation by 7
52x + 56y = 1003.6
105x + 56y = 1432.90
Subtract the first equation from the second:
53x = 429.30
x = 429.30/ 53
x = 8.10
Solve any of the equation for y:
15x + 8y = 204.70
y = [204.70 - 15(8.10)]/8 = 10.40
y - x = 10.40 -8.10 = 2.30
Answer: she earns $2.30 per hour more during the weekend than during the week.
Answer:
x = 4
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 1² = 9²
x² + 1 = 81 ( subtract 1 from both sides )
x² = 80 ( take square root of both sides )
x = 
= 
= 
× = 4
Answer:
The formula is
A=p (1+r/k)^kt
A future value?
P present value 4100
R interest rate 0.04
K compounded monthly 12
T time 10 years
A=4,100×(1+0.04÷12)^(12×10)
A=6,112.41. ..answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given:
∠DCE ≅ ∠DEC
∠B ≅ ∠F
DF ≅ BD
To prove:
ΔABC ≅ ΔGFE
Solution:
Statements Reasons
1). ∠DCE ≅ ∠DEC 1). Given
2). ∠ACB ≅ ∠GEF 2). Vertically opposite angles to the
congruent angles.
3). ∠B ≅ ∠F 3). Given
4). DB ≅ DF 4). Given
5). DC + CB ≅ DE + EF 5). Segment addition postulate
6). DC ≅ DE 6). Property of isosceles triangle
7). CB ≅ EF 7). Transitive property
8). ΔABC ≅ ΔGFE 8). ASA property of congruence
