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Scrat [10]
2 years ago
15

Brody deposited 8,001 in a savings account with simple interest. Four months later the account held 8,267.70. What is the intere

st rate?
Mathematics
1 answer:
Travka [436]2 years ago
8 0

Answer:

R = 0.8333%/month

(R = 9.9996%/year)

Equation:

r = (1/t)(A/P - 1)

Calculation:

Solving your equation:

r = (1/4)((8267.7/8001) - 1) = 0.00833333

r = 0.00833333

Converting r decimal to R a percentage

R = 0.00833333 * 100 = 0.8333%/month

Calculating the annual rate

0.8333%/month × 12 months/year = 9.9996%/year.

The interest rate required to get a total amount, principal plus interest, of $8,267.70 from simple interest on a principal of $8,001.00 over 0.333333 years (4 months) is 0.8333% per month.

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1. Write the following sentence as an equation: the product of w and 15 is 165.
Talja [164]
W+15=165
W=165/15
W=11
6 0
2 years ago
. The indicated function y1(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to nd
Blababa [14]

The question is:

The indicated function y1(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to find a second solution y2(x) of the homogeneous equation

x²y'' - 7xy' + 16y = 0; y1 = x^4

Answer:

The second solution y2 is

A(x^4)lnx

Step-by-step explanation:

Given the homogeneous differential equation

x²y'' - 7xy' + 16y = 0

And a solution: y1 = x^4

We need to find a second solution y2 using the method of reduction of order.

Let y2 = uy1

=> y2 = ux^4

Since y2 is also a solution to the differential equation, it also satisfies it.

Differentiate y2 twice in succession with respect to x, to obtain y2' and y2'' and substitute the resulting values into the original differential equation.

y2' = u'. x^4 + u. 4x³

y2'' = u''. x^4 + u'. 4x³ + u'. 4x³ + u. 12x²

= u''. x^4 + u'. 8x³ + u. 12x²

Now, using these values in the original equation,

x²(u''. x^4 + u'. 8x³ + u. 12x²) - 7x(u'. x^4 + u. 4x³)+ 16(ux^4) = 0

x^6u'' + 8x^5u' + 12x^4u - 7x^5u' - 28x^4u + 16x^4u = 0

x^6u'' + x^5u' = 0

xu'' = -u'

Let w = u'

Then w' = u''

So

xw' = -w

w'/w = -1/x

Integrating both sides

lnw = -lnx + C

w = Ae^(-lnx) (where A = e^C)

w = A/x

But w = u'

So,

u' = A/x

Integrating this

u = Alnx

Since

y2 = uy1

We have

y2 = (Alnx)x^4 = (Ax^4)lnx

Therefore, the second solution y2 is

A(x^4)lnx

6 0
3 years ago
A designer wants to create an apartment in the shape of a right triangle as his new design. If he has three partitions that are
ella [17]

No, he can not do it

Step-by-step explanation:

To prove that the the given three sides can form a right triangle:

  1. Square the three sides
  2. Add the squares of the smaller two sides
  3. If the sum is equal to the square of the largest side, then the three given sides can form a right triangle
  4. If the sum is not equal to the square of the largest side, then the three given sides can not form a right triangle

∵ The designer has three partitions that are 14 , 9 and 20 feet

- Square the length of each partition

∵ 9² = 81

∵ 14² = 196

∵ 20² = 400

- Add the squares of the two smaller partitions 9 and 14

∵ 81 + 196 = 277

∵ The square of the largest partition = 400

∵ 277 ≠ 400

∴ The sum of the squares of the two smaller partitions is not

   equal to the square of the third partition

- To create the apartment in the shape of a right triangle he must

   have three partitions the sum of the squares of the two smaller

   partitions is equal to the square of the largest partition

∴ He can not create the apartment in the shape of a right triangle

No, he can not do it

Learn more:

You can learn more about the right triangles in brainly.com/question/4098846

#LearnwithBrainly

3 0
3 years ago
Represent in Interval notation
Ad libitum [116K]

Answer:  [5, \infty)

On a keyboard, you would write [5, infinity)

The square bracket means "include this value" and a curved parenthesis means "exclude this value". We cannot include infinity as it is not a number, so we always use parenthesis with either infinity.

y \ge 5 is the same as 5 \le y which is also the same as 5 \le y < \infty which may help lead to set up the interval notation answer.

4 0
3 years ago
7÷1/2<br>please answer me​
maks197457 [2]
To divide by a fraction, multiply by the reciprocal of that fraction

Multiply the numbers

14
8 0
2 years ago
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