A) x = 0.296
B) x= 15
Step-by-step explanation:
Step 1:
(2/3) : x :: 4.5 :2
By using expansion method,
(2/3) × 2 = 4.5 x
x= (2/3) × 2 / 4.5
x = 0.296
Step 2:
(2/3) : (1/5) :: 50 :x
By using expansion method,
(2/3) x = (1/5) × 50
x= (1/5) × 50 / (2/3)
x = 15
1. The amount of money in the account after 10 years is 42,317.96 dollars.
2. it will take Pamela and Kevin 7.5 hours to complete the task together
<h3>How to find compound interest?</h3>
Question(1)
Using compound interest formula,
where
- p = principal
- r = rate
- n = number of times
- t = time
Therefore,
p = 30,000
r = 3.5% = 0.035
t = 10
n = 1
Therefore,
A = $42,317.96
Question 2:
Pamela takes 12 hours to complete a task.
Kelvin takes 20 hours to complete same task.
The time it will take both of them can be computed as follows:
using rate principle,
let
x = time it will take both of them to do the work together.
cross multiply
240 = 32x
x = 240 / 32
x = 7.5 hours
Therefore, it will take Pamela and Kevin 7.5 hours to complete the task together
learn more on compound interest and rate here: brainly.com/question/18104604
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Answer:
y=-4/5x-1 3/5
or you can write as
y=-4/5x-8/5
Step-by-step explanation:
m=y1-y2/x1-x2
m=0-(-4)/-2-3 input
m=4/-5 solve
m=-4/5
we will find y-intercept now
we will input the points and the slope into the equation to find b
y=-4/5x+b
0=-4/5(-2)+b input
0=8/5+b multiply
-8/5=b isolate b
-1 3/5=b make improper fraction mixed number
so the y-intercept is -1 3/5
if we plug everything in we have equation
y=-4/5x - 1 3/5
or write y-intercept as improper fraction like
y=-4/5x - 8/5
Answer:
Step-by-step explanation: