Answer:
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
P represents the principal or initial amount invested or collected as a loan.
R represents interest rate.
T represents the duration of time in years before the loan is bald back.
From the information given,
P = 1290
I = 5.75
Since there are 365 days in a year,
t = 65/365 = 0.1781 years
Therefore,
5.75 = (1290 × r × 0.1781)/100
5.75 = 229.749r/100 = 2.29749r
r = 5.75/2.29749
r = 2.5027
Rounding to the nearest percent,
r = 3%
speed of current is 1.5 mi/hr
Answer:
let the rate in still water be x and rate of the current be y.
speed down the river is:
speed=distance/time
speed=14/2=7 mi/h
speed up the river is:
speed=(14)/(3.5)=4 mi/hr
thus total speed downstream and upstream will be:
x+y=7...i
x-y=4.......ii
adding the above equations i and ii we get:
2x=11
x=5.5 mi/hr
thus
y=5-5.5=1.5 mi/r
thus the speed in still waters is 5.5 mi/hr
speed of current is 1.5 mi/hr
140 is the solution of the inequality
Step-by-step explanation:
The inequalities are used just like equations.
Given
Total amount to be raised = $950
Price of one ticket = $2.50
The inequality that represents the situation is:
2.50x≥950
Dividing both sides by 2.50

140 is the solution of the inequality
Keywords: Inequality, cost
Learn more about inequalities at:
#LearnwithBrainly
Answer:
angle <B = 76
Step-by-step explanation:
The measure of an exterior angle is equal to sum of two interior angles that is not adjacent to the exterior angle.
We can write the following equation with this information to find the value of angle <B
<B + 71 = 147 subtract 71 from both sides
<B = 76
Answer:
He lost 29 points
Step-by-step explanation:
He lost 29 points. He lost 5 points for each of the 8 questions so -5 x 8 = -40 points, then add 11 = -29