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gregori [183]
3 years ago
14

50 POINTS ILL GIVE BRAINLIEST ! random answers will be reported!

Mathematics
2 answers:
nlexa [21]3 years ago
5 0

Answer:

4)P = $615.38.   5)P = $1,482.35

Step-by-step explanation:

<em><u>4)P = $615.38</u></em>

Equation:

P = A / (1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year.

Solving our equation:

P = 640 / ( 1 + (0.04 × 1)) = 615.38461538462

P = $615.38

The principal investment required to get a total amount, principal plus interest, of $640.00 from simple interest at a rate of 4% per year for 1 years is $615.38.

<em><u>2)P = $1,482.35</u></em>

Equation:

P = A / (1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 12%/100 = 0.12 per year.

Solving our equation:

P = 2016 / ( 1 + (0.12 × 3)) = 1482.3529411765

P = $1,482.35

The principal investment required to get a total amount, principal plus interest, of $2,016.00 from simple interest at a rate of 12% per year for 3 years is $1,482.35.

Akimi4 [234]3 years ago
5 0
Отзовись ярму рыцарь бы б
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Is 30/12 and 40/16 equivalent?
Flura [38]
30/12 in simplest form is 5/2 (cause 6 * 5 = 30 and 6 * 2 = 12)
40/16 in simplest form is 5/2 (cause 8 * 2 = 16 and 8 * 5 =40)
so yes they're equivalent;
30/12 = 40/16
Hope that helps :D have a nice day!
5 0
3 years ago
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The diameter of a circle is 16 centimeters. How would you calculate the area?
Y_Kistochka [10]

Answer: 201.06

Step-by-step explanation:

To find the area of a circle with the radius, square the radius, or multiply it by itself. Then, multiply the squared radius by pi, or 3.14, to get the area. To find the area with the diameter, simply divide the diameter by 2, plug it into the radius formula, and solve as before.

Hope this helps!

6 0
3 years ago
Kryptonite is a material found on the planet Krypton and has various effects, most importantly on Superman. The most common type
Rashid [163]

Answer:

The maximum amount of red kryptonite present is 33.27 g after 4.93 hours.

Step-by-step explanation:

dy/dt = y(1/t - k)

separating the variables, we have

dy/y = (1/t - k)dt

dy/y = dt/t - kdt

integrating both sides, we have

∫dy/y = ∫dt/t - ∫kdt

㏑y = ㏑t - kt + C

㏑y - ㏑t = -kt + C

㏑(y/t) = -kt + C

taking exponents of both sides, we have

\frac{y}{t} = e^{-kt + C}  \\\frac{y}{t} = e^{-kt}e^{C} \\\frac{y}{t} = Ae^{-kt}   (A = e^{C})\\y = Ate^{-kt}

when t = 1 hour, y = 15 grams. So,

y = Ate^{-kt}\\15 = A(1)e^{-kX1}\\15 = Ae^{-k}(1)

when t = 3 hours, y = 30 grams. So,

y = Ate^{-kt}\\30 = A(3)e^{-kX3}\\30 = 3Ae^{-3k} (2)

dividing (2) by (1), we have

\frac{30}{15}  = \frac{3Ae^{-3k}}{Ae^{-k}} \\2 = 3e^{-2k}\\\frac{2}{3} = e^{-2k}

taking natural logarithm of both sides, we have

-2k = ㏑(2/3)

-2k = -0.4055

k = -0.4055/-2

k = 0.203

From (1)

A = 15e^{k} \\A = 15e^{0.203} \\A = 15 X 1.225\\A = 18.36

Substituting A and k into y, we have

y = 18.36te^{-0.203t}

The maximum value of y is obtained when dy/dt = 0

dy/dt = y(1/t - k) = 0

y(1/t - k) = 0

Since y ≠ 0, (1/t - k) = 0.

So, 1/t = k

t = 1/k

So, the maximum value of y is obtained when t = 1/k = 1/0.203 = 4.93 hours

y = 18.36(1/0.203)e^{-0.203t}\\y = \frac{18.36}{0.203}e^{-0.203X1/0.203}\\y = 90.44e^{-1}\\y = 90.44 X 0.3679\\y = 33.27 g

<u>So the maximum amount of red kryptonite present is 33.27 g after 4.93 hours.</u>

3 0
3 years ago
0.9/0.5 = a/10 Plz help
jonny [76]

Answer:

18

Step-by-step explanation:

10/0.5 = 20

20 * 0.9 = 18

7 0
3 years ago
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A number is 2 tens more than 993. What is the number?
Effectus [21]

Answer:

1013

Step-by-step explanation:

993 + 10 + 10.

4 0
3 years ago
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