Y=6x+9. y=6x+2. Therefore y=6x+9=6x+2. 6x+9=6x+2. 6x-6x=2-9. 0=-7. This is not true. So this is- No solution
Answer:
so the answer is 5
Step-by-step explanation:
20/4=5
Answer:
c = 42.5
Step-by-step explanation:
The legs of the triangle are a and b and the hypotenuse is c
Let a be the shorter leg
The hypotenuse is 5 more than the longest leg
c = b+5
The shortest leg is 20
a = 20
We can use the Pythagorean theorem
a^2 +b^2 = c^2
Substituting in what we know from above
20 ^2 + b^2 = (b+5)^2
FOIL (b+5)^2 = b^2 +5b+5b +25 = b^2+10b+25
400 + b^2 = b^2+10b+25
Subtract b^2 from both sides
400+b&2-b^2 = b^2 -b^2 +10b+25
400 = 10b+25
Subtract 25 from both sides
400-25 = 10b+25-25
375 = 10b
Divide by 10
375/10 = 10b/10
37.5 = b
But we want to find c
c=b+5
c = 37.5+5
c = 42.5
Emma needs to invest $55,050.14.
<h3><u>Compound interest </u></h3>
Given that Emma is going to invest in an account paying an interest rate of 2.6% compounded quarterly, to determine how much would Emma need to invest, to the nearest cent, for the value of the account to reach $66,000 in 7 years, you should perform the following calculation:
- Principal amount x (1 + rate / number of annual compositions)^(years x number of annual compositions) = Interest
- X x (1 + 0.026/4)^(7x4) = 66000
- x x (1 + 0.0065)^28 = 66000
- x x 1.0065^28 = 66000
- x x 1.198907 = 66000
- X = 66000 / 1.198907
- X = 55050.14
Therefore, Emma needs to invest $55,050.14.
Learn more about compound interest in brainly.com/question/7420113