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umka2103 [35]
2 years ago
15

$250 is invested at a bank that pays 7% simple interest. Calculate the amount of money in the account after 1 year,

Mathematics
1 answer:
allochka39001 [22]2 years ago
6 0

Answer:

267.5

302.5

372.5

600

Step-by-step explanation:

Simple interest

PV(1+it)

1 year:

250(1+.07)

267.5

3 years:

250(1+.07*3)

302.5

7 years:

250(1+.07*7)

372.5

20 years:

250(1+.07*20)

600

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I feed to find the circumference
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answer:

131.88 inches

step-by-step explanation:

  • know the formula: 2πr
  • now plug in what we have

2πr = circumference

2(21)(3.14)

= 131.88

6 0
2 years ago
Use the fundamental theorem of calculus to find the area of the region between the graph of the function x^5 + 8x^4 + 2x^2 + 5x
BaLLatris [955]

Answer:

The area of the region is 25,351 units^2.

Step-by-step explanation:

The Fundamental Theorem of Calculus:<em> if </em>f<em> is a continuous function on </em>[a,b]<em>, then</em>

                                   \int_{a}^{b} f(x)dx = F(b) - F(a) = F(x) |  {_a^b}

where F is an antiderivative of f.

A function F is an antiderivative of the function f if

                                                    F^{'}(x)=f(x)

The theorem relates differential and integral calculus, and tells us how we can find the area under a curve using antidifferentiation.

To find the area of the region between the graph of the function x^5 + 8x^4 + 2x^2 + 5x + 15 and the x-axis on the interval [-6, 6] you must:

Apply the Fundamental Theorem of Calculus

\int _{-6}^6(x^5+8x^4+2x^2+5x+15)dx

\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx\\\\\int _{-6}^6x^5dx+\int _{-6}^68x^4dx+\int _{-6}^62x^2dx+\int _{-6}^65xdx+\int _{-6}^615dx

\int _{-6}^6x^5dx=0\\\\\int _{-6}^68x^4dx=\frac{124416}{5}\\\\\int _{-6}^62x^2dx=288\\\\\int _{-6}^65xdx=0\\\\\int _{-6}^615dx=180\\\\0+\frac{124416}{5}+288+0+18\\\\\frac{126756}{5}\approx 25351.2

3 0
3 years ago
I will mark brainlest
vodka [1.7K]

20 Square units jit. now give me brainliest.

3 0
2 years ago
Solve for a.
lesya692 [45]
I am 100% sure that A equals -2.3
3 0
2 years ago
Read 2 more answers
if 5 litres of water are drawn from a cylindrical container of internal diameter 56cm find the drop in the level of water in the
AlexFokin [52]

Answer:

the drop in the level of water in the container is 2.03 cm

Step-by-step explanation:

The volume of a cylinder can be written as;

V = \pi r^2h=\frac{\pi d^2h}{4}  \\where;\\r = radius \\h = height \\d = diameter

the change in height when the volume changes can be derived by differentiating the equation.

dV =\frac{\pi d^2}{4} dh\\dh = dV\frac{4}{\pi d^2}

substituting the given values;

\left \{ {{dV=5 litres= 5000cm^3} \atop {d=56 cm}} \right.

dh = 5000\frac{4}{\pi * 56^2}\\dh = 2.03cm

the drop in the level of water in the container is 2.03 cm

4 0
3 years ago
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