Answer:
17x+4
Step-by-step explanation:
4(5x+1)-3x
20x+4-3x
17x+4
Given Information:
Principle amount = P = $6,000
Interest rate = r = 4% = 0.04
Period in years = t = 5
Required Information:
How much interest will he earn in 5 years = ?
Answer:
Amount of interest = $1,299.92
Step-by-step explanation:
Using the formula given in the question,
Where B is the final amount, P is the initial amount, r is the interest rate and t is the number of years
The amount of interest earned is
Therefore, Quincy has earned $1,299.92 in terms of interest by investing $6,000 in a savings account at the rate of 4% annual interest for a period of 5 years.
Answer: 109.1 degrees
Step-by-step explanation:
To find the angle between the given vectors, we will use the formula below:
Cos(θ) = (U.V)/ |U|.|V|
Where
U = 13i - 8j
V = 2i + 9j
U.V = (2x13) + (-8×9)
U.V = 26 - 72
U.V = - 46
|U| = sqrt ( 13^2 + 8^2)
= sqrt ( 233) = 15.264
|V| = sqrt( 2^2 + 9^2)
= sqrt ( 85 ) = 9.22
Substitute all the value of the parameters into the formula
Cos ø = -46 / (15.3 × 9.2)
Cos ø = - 46 / 140.72
Cos Ø = - 32687
Find the cos inverse of the value
Ø = cos^-1( -32687)
Ø = 109.079 degrees
Therefore, the angle between the given vectors to the nearest tenth of a degree is 109.1 degrees
Answer:
first of all the formula
y = mx+c
where m is slope and c is y-intercept.
now substitute the values-
y = 2x - 5
(for the slope here is 2 and the part where the line intercepts y axis is -5
therefore
y = 2x-5
