Answer:

Step-by-step explanation:
The given triangle is a right angle triangle .
The known sides of the triangle that is opposite to angle y is 8 units while the side adjacent is 10 units.
The value of y can be calculated using the tangent ratio.

We solve for y to get,

We evaluate to obtain,

to the nearest degree
Answer: See explanation
Step-by-step explanation:
We are going to use the formula used in calculating direct proportion which is equal to:
y = kx
where,
x = speed of a processor in GHz
y = the cost in pounds
Therefore, y = kx
500 = 2k
Therefore, y = 2k
Answer:
X=-5
Step-by-step explanation:
Start by isolating the variable to one side. So from here we would add 68 to both sides. we will be left with -8 1/4x = -6.25x+10. Then add 6,25 to both sides to cancel on and get -2x=10. Divide both sides by -2 to get x=-5
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.