4(4x + 6) - 7 = 77 - 4x......distribute thru the parenthesis
16x + 24 - 7 = 77 - 4x ...simplify
16x + 17 = 77 - 4x ...addition property of equality....add 4x to both sides
16x + 4x + 17 = 77 ...subtraction property ...subtract 17 from both sides
16x + 4x = 77 - 17...combine like terms
20x = 60 ....division property....divide both sides by 20
x = 60/20
x = 3
Answer:
can you please show attachments?
Answer:
<BCO = <BAO = 20degrees
Step-by-step explanation:
If <ABC measures 100 and is inscribed in a circle O. find <BAO and <BCO
To get <BAO and <BCO, we need to get <AOC first.
From the figure, it can be seen that triangle ABC is an isosceles trinagle. Hence;
<BAC + <BCA + 100 = 180
Since <BAC = <BCA
<BAC + <BAC = 180 - 100
2<BAC = 80
<BAC = 80/2
<BAC = 40
Also;
<BAO = <BCO and <BAO = <BAC/2
<BAO = 40/2 = <BCO
Hence <BCO = <BAO = 20degrees
Answer:
3·(x - 14) + 1 = - 4·x + 5
3·x - 42 + 1 = - 4·x + 5
3·x - 41 = - 4·x + 5
7·x - 41 = 5
7·x = 46
x = 46/7
Answer: In 7 years, Ms Acosta will earn $37,734.7
Step-by-step explanation:
From the information given, we find the increase using exponential growth formula
A= P(1+r)^t
Where p= the starting amount on the contract, given as $34000
r = rate, given at 1.5% = 1.5/100 = 0.015
t = time, given as 7years
Plug the values into the formula:
A = 34000(1 + 0.015) ^7
= 34000 (1.015)^7
34000 x 1.1098
A= $37,734.7
In 7 years, Ms Acosta will earn $37,734.7.
