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svlad2 [7]
3 years ago
10

Principal- $900, interest rate ordinary- 4%, term (days)- 45. find the interest

Mathematics
1 answer:
kirill [66]3 years ago
4 0

Answer:

hope this helps to find the interest

Step-by-step explanation:

450

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A pan of warm water (46∘ Celsius) was put in a refrigerator. After 15 minutes, the water's temperature was 27∘ C; 15 minutes aft
Cloud [144]

Answer:

The refrigerator was at around 13 ∘C

Step-by-step explanation:

Newton's Law of Cooling:

The rate of change of a body temperature  (amount of heat loss/time of loss) is directly proportional to the difference between its own temperature and the surroundings.

\frac{T(t2)-T(t1)}{t2-t1} = -h (T(t2) - Tenv)

T ⇒ temperature

t ⇒ time

Tenv ⇒refrigerator temperature

\frac{T(t2)-T(t1)}{t2-t1} ⇒ rate of change of he temperature

-h ⇒ constant of proportionality (negative because the temperature is decreasing inside the refrigerator)

We have 3 points:

time (minutes) - Temperature (∘ C)

0 (when the pan was put in the refrigerator) - 46

15 (after 15 minutes) - 27

30 (15 minutes after the first 15 minutes) - 19

\frac{27 - 46}{15 - 0} = -h (27 - Tenv)

\frac{19 - 27}{15 - 0} = -h (19 - Tenv)

Now we have a system of two equations and two variables

\frac{-19}{15} = -h (27 - Tenv)\\ \frac{19}{15} = h (27 - Tenv)\\ \frac{19}{15(27 - Tenv)} = h

\frac{19 - 27}{15 - 0} = -h (19 - Tenv)\\\frac{-8}{15} = -h (19 - Tenv)\\\frac{8}{15} = h (19 - Tenv)\\\frac{8}{15} = \frac{19}{15(27 - Tenv)} (19 - Tenv)\\8(27 - Tenv) = 19 (19 - Tenv)\\216 - 8 Tenv = 361 - 19 Tenv\\19 Tenv - 8 Tenv = 361 - 216\\11 Tenv = 145 \\Tenv = 145/ 11\\Tenv = 13. 18

The refrigerator was at around 13 ∘C

6 0
3 years ago
URGENT!!!! WILL GIVE BRANLIEST PLS HELP OR AT LEAST TAKE A LOOK!! I HAVE LESS THEN 10 MINUTES LEFT PLS!!!! IM LOOSING HOPE! SHAR
Sindrei [870]

Answer:

Ok

Step-by-step explanation:

:DDD

4 0
3 years ago
Please help me out ‼️
Westkost [7]

Answer:

7

Step-by-step explanation:

In similar triangles, corresponding elements are proportional. Then we get,

(2x + 1)/(x-1) = 10/4

4(2x +1)       = 10(x-1)

8x + 4         = 10x - 10

8x               = 10x - 14

2x               = 14

x                 = 7

Hope it helps and if it does, please mark me brainliest...

6 0
3 years ago
Read 2 more answers
Simplify your answer as much as possible.<br><br> -27=5v-2
Vinil7 [7]

hello there

the answer is ..... down below

I did the math for ya

hope this helps

thank you

best regards Queen Z

7 0
3 years ago
Read 2 more answers
Beinggreat78 answer fast please :')
Dovator [93]

Answer:

17662.5 sq. feet

Step-by-step explanation:

We know that the formula for Area of a Circle is A = \pi (r)^2.

r = radius; d = diameter, which is r*2


And so, in the question, it gives you that the diameter is 150, first we divide it by 2 to get the radius.

150/2 = 75

The question said to keep \pi =3.14, so then we plug in the equation-

A = 3.14 * 75^2


Then we use PEMDAS [Parenthesis; Exponents; Multiply & Divide; Add & Subtract] which would get us-

A = 3.14 * 5625 (first doing the Exponent)

And we continue-

A = 17662.5 (then multiple)

So our answer is-

17662.5 sq. feet

I hope this helps!
Please give brainliest!

Have a great day

3 0
2 years ago
Read 2 more answers
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