Answer:
The interest is
<h2>$ 769.50</h2>
Step-by-step explanation:
Simple interest is given by
where
P is the principal
R is the rate
T is the time given
From the question
The principal / P = $ 5700
The rate / R = 4.5%
The time given / T = 3 years
So the interest is
We have the final answer as
I = $ 769.50
Hope this helps you
(2x+3)+(x-6)= 180 [straight angle]
2x+x+3-6=180
3x=183
x=61
(All measure in degree)
Hope this can help.
We are given the rule for the set,
M= {x | x is an integer and -2 < x < 1}In words, this set translates to numbers that are integers and greater than -2 but less than 1.
The actual elements of the set are
M = { -1, 0}
There are only two elements.
W is the time Woody family used sprinkler.
C is the time Carter family used sprinkler.
Time used total: 50 hours.
W+C = 50 (1)
Total water used is 1900 L.
Woody family used: 40W;
Carter family used 35C.
Equation showing how much water both families used:
40W + 35 C =1900. (2)
We have a system with two equations and two variables. We can use substitution method to solve the system. From equation (1) we express W:
W=50 - C. (1a)
We substitute the variable in equation (2):
40(50 - C) +35C =1900.
We open the parenthesis
2000 -40C +35C =1900,
We combine like terms
2000 -5C =1900,
We subtract 2000 from both sides of the equation
-5C = 1900 - 2000,
We simplify
-5C = -100,
We divide by -5
C = 20.
We substitute the values of C in the equation (1a) and find the value of W:
W = 50 - C,
W = 50 -20 =30.
The Woody family used water for 30 hours and the Carter family used water for 20 hours.
We check our work to be sure we did not make any mistakes:
Total water used:
40 x 30 + 35 x 20 = 1200 + 700 = 1900 L.
Answer:
$295
Step-by-step explanation:
Let d represent the amount Danny contributed. Then Beth contributed (d+80) and Katie contributed ((d+80)-20) = (d+60). The total from the three friends is ...
d + (d+80) +(d+60) = $1025
3d = 885 . . . . . . . . . . . . . . . . . . . subtract 140
d = 295 . . . . . . . . . . . . . . . . . . . . divide by 3; Danny's contribution
Danny contributed $295.
