Answer:

Step-by-step explanation:


Here, we are required to determine after how many minutes will the two substances be at the same temperature.
The equation of when the two substances will be at the same temperature and the solution are as follows;
(a) The equation is 96.2 + 1.5(x) = 98.5 + 0.8(x).
(b) The solution is, x = 3.285minutes.
For substance A which is currently at 96.2° and rising at 1.5° each minute; It's temperature after x minutes is given as;
For substance B which is currently at 98.5° and rising at 0.8° each minute; It's temperature after x minutes is given as;
(a) For the two substances to be at the same temperature; T(a) must be equal to T(b).
The equation is therefore;.
96.2 + 1.5(x) = 98.5 + 0.8(x)
(b) To determine the solution;
1.5x - 0.8x = 98.5 - 96.2
0.7x = 2.3
x = 2.3/0.7
x = 3.285minutes.
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Answer:
$1,792
Step-by-step explanation:
3 1/2×36.40=116.48
116.48÷6.5%=1,792
$1,792
Answer:
2600 into the account earning 1% interest
2400 into the account earning 6% interest
Step-by-step explanation:
let x= account earning 1% interest
y= account earning 6% interest
we can write
x+y=5000 (equation 1)
.01x+.06y=170 (equation 2)
mulitply equation 1 by .01
.01x+.01y=50
subtract this from equation 2
(.01x+.06y)-(.01x+.01y)= 170-50
.05y= 120
y= 2400
Plug in y= 2400 into equation 1
x+2400=5000
x=2600