Answer:
-6
Step-by-step explanation:
x - 8 = -14
Add 8 to both sides of the equation
x - 8 + 8 = -14 + 8
x = -6
Answer:
Step-by-step explanation:
Answer: it will take 17.5 years to double his money in the account.
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $500
A = 500 × 2 = $1000
r = 4% = 4/100 = 0.04
n = 4 because it was compounded 3 times in a year.
Therefore,.
1000 = 500(1 + 0.04/4)^4 × t
1000/500 = (1 + 0.01)^4t
2 = (1.01)^4t
Taking log of both sides, it becomes
Log2 = 4tlog 1.01
0.301 = 4t × 0.0043 = 0.0172t
t = 0.301/0.0172
t = 17.5 years
Answer:
0.166666667, to round up it is 0.17
Step-by-step explanation:
Answer:
Slope= m = Δy/Δx = (y₂-y₁)/(x₂-x₁) = rise / run
Step-by-step explanation:
Hope that helps . Just plug in your values if you are given two points
for example: (3,4) = (x₂,y₂) (1,2) = (x₁,y₁)
Just substitute in the equation above
(4-2)/(3-1) = 2/2 =1
good luck
Answer:
15/4
Step-by-step explanation:
This is a proportion question
It says 1/2 crates of apple are used for every 3/4 crates of oranges
For 5/2 crates of apple, x crates of oranges will be needed.
To get x, we simply multiply 1/2 by x and equate it to 3/4 multiplied by 5/2
This means: 0.5x = 0.75 × 2.5
x = ( 0.75 × 2.5 ) ÷ 0.5 = 3.75
Hence for 5/2 crates for apple, she will need 15/4 crates of oranges.
