Answer:
y = 2x-13
Step-by-step explanation:
The equation for a line is
y = mx+b where m is the slope and b is the y intercept
y = 2x+b
We know a point so we have a y and an x, so we can solve for b
-1 = 2(6) +b
-1 =12+b
Subtract 12 from each side
-1-12 = 12-12+b
-13 =b
Substitute this into y = 2x+b
y = 2x-13
Answer:
(A) 4.03 x 10^14
Step-by-step explanation:
403,000,000,000,000
Scientific notation is of the form
a * 10 ^b
where a is a number from 1 to a number less than 10
Put the decimal in the number
403,000,000,000,000.
We need to move the decimal 14 places to the left to get the number to be between 1 and 10
4.03000000000000 so the b is 14
Since we moved it to the left b is positive
We can drop the extra zeros at the end (after the last nonzero digit)
4.03 *10^14
Answer: In 5 years it will be worth £455
Step-by-step explanation:
Step 1
Given
The cost of the T.V. for Colin = £530.
The rate of depreciation per year = 3%
Time/ period = 5 years
Formulae to be used
F = P X (1 - r) ^ n
where
F = the future value after depreciation
P = the present value.
r =the interest rate per time period
n = the time/ periods
Step 2--- SOLVING
F = P X (1- r) ^ n
F= 530 x (1-0.03) ^ 5
=530 x 0.858734
=£455.129
Rounding up to the nearest penny where appropriate = £455
3/9 + 1/2 = 5/6
2 1/3 + 2 1/4 = 4 and 7/12
The measure of <FCD is 77 degrees
<h3>Circle geometry</h3>
From the given diagram, we have the following:
m<FCD + 90 + m<F = 180 degrees
Given the following parameters
m<BEO = 13 degrees = m<F
Substitute into the formula:
m<FCD + 90 +13 = 180 degrees
m<FCD = 180 - 103
m<FCD = 77 degrees
Hence the measure of <FCD is 77 degrees
Learn more on circle geometry here; brainly.com/question/24375372