58 degrees
Explanation
If you have a triangle with the angle measures of abc as 58 degrees, 102 degrees and 20 degrees you can multiply them in order of abc so 58 degrees is angle a, 102 degrees is angle b and 20 degrees is angle c. Then you just put in angle a for d which would be 58 degrees and angle e for b 102 degrees and angle f for c which would be 20 degrees
Answer:
27 purple marbles
Step-by-step explanation:
- purple marbles- p
- blue marbles- b
Equations based on the given:
p= 2b +5 and p+b= 38
- 2b+5+b= 38 ⇒ 3b+5= 38 ⇒ 3b= 33 ⇒ b= 11
6
(2x+8) -> (2(5)+8)-> 18
18/3 is 6
Answer:
x=1, y= 7
Step-by-step explanation:
−5x+2y=9
y=7x
Substitute the second equation in for the first
-5x +2(7x) = 9
-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
First we need to calculate annual withdrawal of each investment
The formula of the present value of an annuity ordinary is
Pv=pmt [(1-(1+r)^(-n))÷(r)]
Pv present value 28000
PMT annual withdrawal. ?
R interest rate
N time in years
Solve the formula for PMT
PMT=pv÷[(1-(1+r)^(-n))÷(r)]
Now solve for the first investment
PMT=28,000÷((1−(1+0.058)^(−4))
÷(0.058))=8,043.59
The return of this investment is
8,043.59×4years=32,174.36
Solve for the second investment
PMT=28,000÷((1−(1+0.07083)^(
−3))÷(0.07083))=10,685.63
The return of this investment is
10,685.63×3years=32,056.89
So from the return of the first investment and the second investment as you can see the first offer is the yield the highest return with the amount of 32,174.36
Answer d
Hope it helps!
