Answer:
26°
Step-by-step explanation:
<DFG+<EFG = 180°( Being sum of adjacent angle in linear pair is 180°)
You can also write;
<DFG+<EFG = 180°( Being sum of supplementary angle is 180°)
By putting the value of those angles;
5y+3+(2y-5)=180
5y+3+2y-5=180
5y+2y-5+3 =180°
7y-2=180°
7y=180+2
7y=182
y=182/7
y=26°
Hence,
The value of y is 26°
Answer: The original price of the jacket is given in the question and it is $68.
The percent of discount given on the original price is 30%.
Then
The amount of discount given = (68 * 30/100) dollar
= 20.4 dollar
The discount amount is $20.4
Now after the deduction of the sale percentage, the selling price of the jacket can be easily deduced.
Then
Selling price of the jacket = (68 - 20.4) dollars
= 47.6 dollars
Step-by-step explanation:
Answer:
a=21
AB=23.9
BC=19.5
CD=(23.9)
AD=19.5
Step-by-step explanation:
Each pair of parallel sides are equal in a parallelogram. Sense both pairs use the same variable we can just choose the easiest to solve which would be:
a-1.5=19.5
add 1.5 to both sides
a=21
now substitute 21 in for a in each equation.
AB=CD so
AB=23.9
BC=AD so
BC=19.5
CD=(21)+2.9 so
CD=(23.9)
AD is given so
AD=19.5
Answer:
Future value of annuity (FV) = $13,782.12 (Approx)
Step-by-step explanation:
Given:
Periodic payment p = $500
Interest rate r = 13% = 13%/4 = 0.0325 (Quarterly)
Number of period n = 5 x 4 = 20 quarter
Find:
Future value of annuity (FV)
Computation:
![Future\ value\ of\ annuity\ (FV)=p[\frac{(1+r)^n-1}{r} ] \\\\Future\ value\ of\ annuity\ (FV)=500[\frac{(1+0.0325)^{20}-1}{0.0325} ] \\\\Future\ value\ of\ annuity\ (FV)=13,782.1219 \\\\](https://tex.z-dn.net/?f=Future%5C%20value%5C%20of%5C%20annuity%5C%20%28FV%29%3Dp%5B%5Cfrac%7B%281%2Br%29%5En-1%7D%7Br%7D%20%5D%20%5C%5C%5C%5CFuture%5C%20value%5C%20of%5C%20annuity%5C%20%28FV%29%3D500%5B%5Cfrac%7B%281%2B0.0325%29%5E%7B20%7D-1%7D%7B0.0325%7D%20%5D%20%5C%5C%5C%5CFuture%5C%20value%5C%20of%5C%20annuity%5C%20%28FV%29%3D13%2C782.1219%20%5C%5C%5C%5C)
Future value of annuity (FV) = $13,782.12 (Approx)
4x+x= 15 5x=15 x=3 Moses made 12 goals and Kyle made 3
