If an amount of $25,000 is deposited into a saving account at an interest rate 4%, compounded semi-annually, how long will it take to accumulate on this account $28,500? The function describing your balance is M(n) =25,000(1+0.04/2)^2n, where n is time in years. 20 points and WILL GIVE BRAINLIEST!

Answers

Answer 1

It will take 3.3 years to accumulate $28,500  on this account

According to the compound amount formula expressed as:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

P is the principal = $25,000

A is the amount = $28,500

r is the rate in decimal = 4% = 0.04

n = 2 (semi annualy)

Substitute the given parameters into the formula as shown:

[tex]28,500=25,000(1+\frac{0.04}{2} )^{2t}\\1.14=(1+0.02)^{2t}\\1.14 = (1.02)^{2t}\\ln1.14 = 2tln1.02\\2t=\frac{ln1.14}{ln1.02}\\2t= \frac{0.13103}{0.01980}\\2t= 6.6177\\t = 3.30yrs[/tex]

Hence it will take 3.3 years to accumulate $28,500  on this account

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Related Questions

There are 25 students in a class, and 6 of them will be chosen to go on a field
trip. How many ways can these students be chosen?

Answers

Answer: 150 ways.

Explanation: This question deals with a combination. To find the total number of ways these students may be arranged in a field trip, assuming that the combination does not repeat (there can only be one of each student in a given group of 6), one must simply multiply the number of students total, 25, by the number of students allowed in a group, which is 6. Therefore, 25 • 6 = 150, which gives us our answer.

In this picture B,D, and F are midpoints. AC=50, CE=60, and BD=35
DF=[?]

Answers

Answer:

25

Step-by-step explanation:

AC=50  ∴BC=25

DF is the opposite of BC ( take it as a square BCDF)

Triangle MAF has sides lengths 223, 258 , and 276. Find the measure of the largest angle. a) 68.72degrees b) 69.56degrees c)66.98degrees d) 70.45degrees

Answers

Answer:

Step-by-step explanation:

The largest angle will be opposite the longest side.

Use law of cosines

276² = 223² + 258² - 2(223)(258)cosθ

θ = 69.596009... = 69.60°

Which is closest to answer b)

Steven walked 3 miles and drove 24 miles. Maureen walked 3 miles and drove
18 miles. Who has the greater ratio of miles walked/miles driven?

Answers

Maureen has the greatest ratio


6. Elena writes the equation 6x + 2y = 12. Write a new equation that has:
a. exactly one solution in common with Elena's equation
b. no solutions in common with Elena's equation
c. infinitely many solutions in common with Elena's equation

Answers

Answer:

2x ×2y=15. then solve for equation x and y

Please solve these algebraic questions? THANKS

Answers

Step-by-step explanation:

Note: I'm only providing solutions for Problem 9.

9. Simplify the following by collecting like terms:

Combining like terms involve performing the required mathematical operations (using the PEMDAS rule).  The terms must have the same degree (or exponents).  

 

a) 3a + 7a  

Add the coefficients of both terms.  

3a + 7a  = 10a

b) 4n + 3n

Add the coefficients of both terms.  

4n + 3n = 7n

c) 12y - 4y

Subtract the coefficient of both terms.  

12y - 4y = 8y

d) 5x + 2x + 4x

Add the coefficients of all terms.  

5x + 2x + 4x = 11x  

e) 6ab - 2ab - ba

The last term, "ba," can be rewritten as, "ab."  Remember that with algebraic expressions such as "ab," it essentially involves multiplication of both variables within the same term. Thus, ab = a × b. The variables ab also have a numerical coefficient of 1:  1a × 1b.

Now, we can perform the subtraction on all terms:

6ab - 2ab - ab = 3ab.  

f) 7mn + 2mn - 2mn

Subtract 2mn from 2mn, which leaves you with 7mn:

7mn + 2mn - 2mn = 7mn  

g) 4y - 3y + 8

For this algebraic expression, you could only combine the terms with the same variable and degree. Therefore, you'll have to subtract 3y from 4y, leaving the constant, 8, unaffected.  

4y - 3y + 8 = y + 8

 

h) 7x + 5 - 4x

Similar to question g, only combine the terms with the same degree and variable, leaving the constant unaffected.

7x + 5 - 4x = 3x + 5

i) 6xy + xy + 4y

You could only combine the terms with the same set of variables and degree, which are the first two terms on this given question. You cannot combine the last term, 4y, into the other terms.  

6xy + xy + 4y = 7xy + 4y

j) 5ab + 3 + 7ba

Using the same reasoning as in question e: the last term, 7ba, can be rewritten as 7ab, for which you could combine with the first term, 5ab.

5ab + 3 + 7ba = 12ab + 3  

k) 2 - 5m - m  

Combine the like terms, which are the second and the last term.  

2 - 5m - m = 2 - 6m

l) 4 - 2x + x

Combine the like terms, which are the second and the last term.  

4 - 2x + x = 4 - x  

Precalc!! Please help

Answers

Answer:

Step-by-step explanation:

1

Use a table to find the solution to the situation.
Stan needs a mime. Mime A is offering his services for an initial $150 in addition to $25 per hour. Mime B
is offering her services for an initial $45 in addition to $40 per hour. When will the two mimes charge the
same amount of money?
The two mimes will charge the same amount of money after
hours.

Answers

Answer:

The answer is 3 hours

Step-by-step explanation:

Help plz I don’t understand how to do this math below

Answers

1. [tex] \frac{1}{3} \times \frac{2}{5} \\ \frac{1 \times 2}{3 \times 5} = \frac{2}{15} [/tex]

2. [tex] \frac{2}{5} \div \frac{3}{5} \\ \frac{2}{5} \times \frac{5}{3} \\ = \frac{2}{3} [/tex]

- BRAINLIEST answerer

1. When multiplying fractions, multiply the numerators and multiply the denominators:

1/3 x 2/5 = (1 X 2) / (3 X 5) = 2/15

2. When dividing fractions multiply by the inverse of the second fraction.

2/5 / 3/5 = 2/5 x 5/3 = 10/15 = 2/3

a patient is prescribed motrin 800mg, 1 tablet 3 times daily. What would the days supply be for 30 tablets?

Answers

Based on the number of tablets to be taken per day, the days supply for 30 tablets would be 10 days.

The patient is to take a tablet 3 times a day which means that they are to take:

= 1 x 3

= 3 tablets daily

If they have 30 tablets, this will last:

= Number of tablets / Tablets per day

= 30 / 3

= 10 days

In conclusion, it will take 10 days for the tablets to run out.

Find out more at https://brainly.com/question/13043215.

Help help please last question please correct I’ll give points

Answers

Answer:

First is translation then dialation darlin

Step-by-step explanation:

i say this because of the size of grid

use the given circle. Find the length s to the nearest tenth A. 33.5 cm B. 8.4 cm C. 16.8 cm D. 5.3 cm​

Answers

Answer:

16.8

Step-by-step explanation:

s = ∅ × r

= 2π/3 × 8

= 16/3 * π

= 16.75516

= 16.8

Answer:

C.) 16.8 is your answer

Step-by-step explanation:

a rectangle is made by joining two squares adjacent to each other as shown below. if one squared has an area of 144 squared centimeters what is the area of the rectangle?​

Answers

Answer:

Hello! After reading your question I have deduced that the correct answer is 288² cm.

Step-by-step explanation:

The way I came to this conclusion was as follows:

Firstly:

If said rectangle is two squares put side by side (adjacent), then a valid assumption is that both squares are the same size.

This is because all four sides of a square have to be equal.

Thus if the two squares are joined together on one side, then all the other sides of both the squares will be the same length.

Thus both of the squares are going to be the same size, so they will have the same area.

Secondly:

If the area of one square is 144² cm then the area of the other square should also be 144² cm.

Thus if you combine the areas of both the squares, that make up the rectangle, you are left with the area of the rectangle being 288² cm.

I hope this helped!

The hypotenuse of a right triangle is three times the length of one of its legs. The length of the other leg is four feet. Find the lengths of the three sides of the triangle. For non-integer answer(s), round your answer(s) to the nearest tenth.
___ feet, ___ feet, ___ feet

Answers

Answer:

Step-by-step explanation:

Let the other leg = x

x^2 + 4^2 = (3x)^2

x^2 + 4^2 = 9x^2

4^2 = 9x^2 - x^2

16= 8x^2

16/8 = x^2

x^2 = 2

x = sqrt(2)

The lengths of the sides

x = sqrt(2)      

other side =4

hypotenuse = 3*sqrt(2)

x = 1.4

other side= 4

hypotenuse = 3*1.4142

hypotenuse = 4.2

0.94 written as a fraction in simplest form

Answers

Its simplest form in fraction is 47/50

Faktor dari bilangan 18 adalah....

Answers

Step-by-step explanation:

1 x 18, 2 x 9, dan 3 x 6. Jadi, faktor dari 18 adalah 1, 2, 3, 6, 9, dan 18.

pls help with 4 4/7 -

see attached pic​

Answers

We cannot see your picture but it should be 8/8

is it linear??? plzzzzz

Answers

Answer:

Not a linear function

Step-by-step explanation:

3xy = 27 is not a linear function.

A linear function is given by f(x) = mx + b (in slope-intercept form), or Ax + By = C (in standard form).   An easier way of understanding the linear function is to envision that the variables (x and y), along with the constant,(y-intercept, are along the same line.  

Isolating y from the left-hand side:

3xy = 27  

On the left-hand side of the equation: 3xy involves a multiplication operation. Thus, 3xy  is the same as expressing it as  3·x·y.  

We cannot simply add or subtract x or y to isolate either one of the variables.  The proper mathematical operation to do so is by division.

Hence, we must divide both sides by 3x to isolate y:

[tex]\displaystyle\mathsf{\frac{3xy}{3x}\:=\:\frac{27}{3x}}[/tex]

[tex]\displaystyle\mathsf{y\:=\:\frac{9}{x}}[/tex]   ⇒ This is a reciprocal function, also known as an inverse function, where it is undefined when x = 0.  The graph of an inverse function is a hyperbola.      

Attached is the graph of  [tex]\displaystyle\mathsf{y\:=\:\frac{9}{x}}[/tex]  to show why it is not considered as a linear function. A linear function will show a straight line.  

Help help help help hep help help

Answers

Answer:

A' (-1,4)

B' (-4,3)

C' (-2,1)

Step-by-step explanation:

When reflecting a point across the y-axis, the x-coordinate changes signs, and the y-coordinate stays the same. The rule for a reflection across the y-axis is (x,y) -> (-x,y). For example, if we flip the coordinates (1,4) across the y-axis, new the coordinates are (-1,4).

there are 98 girls at Ross elementary there are 15 less boys then girls how many boys and girls are at Ross elementary​

Answers

Answer:

either 98 girls and 83 boys or 181 students in Ross elementary school

Step-by-step explanation:

98-15 is 83 so there are 98 girls and 83 boys there are also 181 students altogether.

Surface integrals of vector fields Find the flux of the following vector fields across the given surface with the specified orientation . You may use either an explicit or parametric description of the surface across the slanted face of the tetrahedron x in the first octant ; normal vectors point upward . F= langle0,0,-1 rangle; z = 4-x - y

Answers

Step-by-step explanation:

Surface integrals of vector fields Find the flux of the following vector fields across the given surface with the specified orientation. You may use either an explicit or a parametric description of the surface. F =( 0,0,-1) across the slanted face of the tetrahedron Z=4-x-y in the first octant; normal vectors point upward

Question 11 (5 points)
22
Find the volume of the solid. Use
7
for II.
5 cm
1 cm
6 cm

Answers

Answer:

Volume of solid = 5 cm *  1 cm  * 6 cm = 30 cm³

Step-by-step explanation:

The formula for volume of solid = Length * Width * Height

If a ≠ 0 and b ≠ 0 which of the following is equivalent to 2/3a 1/b?

Answers

Answer:

58

Step-by-step explanation:


Sue can ride her bike 14 km/hr faster than she can walk. It takes 17.5 min longer to walk 2.5 km
than to ride. Find Sue's walking speed.

Answers

Answer:

6 km/hr

Step-by-step explanation:

Sue can ride her bike 14 km/hr faster than she can walk. So for each step, add 14 km/hr.

Solve

[tex]-17.5r^2-245r+2100=0 \\\\r^2+14r-120=0 \\\\(r-6)(r+20)=0\\\\[/tex]

Therefore, it is 6.

Expand 5(2x-4) please please

Answers

Answer:

10x - 20

Step-by-step explanation:

Distribute 5 to each of the terms within the parentheses to get 5(2x) - 5(4) = 10x - 20.

What is the solution to (4 x 103) x (6 x 106), written in scientific notation?

Answers

Answer:

                       

Step-by-step explanation:

Answer is 2.4 x 10^10

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x2, x = y2; about y = 1

Answers

We have y = 22
D? y
= VE
Now we find the points of intersection first: 27?
-
VE
2 = 0, 1 so when x is O y is also 0
and when x is 1, y is also 1
Hence the points of intersection are (0,0) and (1,1)
Given it is rotated about y
=1
So using disk method, the volume is given by:

The volume of the solid obtained by rotating the region bounded by the given curves about [tex]y = 1[/tex] is [tex]\frac{11\pi}{30} [/tex] cubic units.

Procedure - Determination of the volume of a solid of revolution

Let [tex]f(x) = 1[/tex], [tex]g(x) = x^{1/2}[/tex] and [tex]h(x) = x^{2}[/tex], both [tex]g(x) [/tex] and [tex]h(x)[/tex] have the following intersection points: [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (1,1)[/tex]. This means that the interval of x-coordinates for the solid of revolution is [tex]x \in [0, 1][/tex].

The integral formula for the volume of the solid of revolution ([tex]V[/tex]), in cubic units, is:

[tex]V = \pi \int\limits^{1}_{0} {[h(x)-f(x)]^{2}} \, dx - \pi \int\limits^{1}_{0} {[g(x)-f(x)]^{2}} \, dx [/tex] (1)

After substituting on each function and simplifying terms we get the following integral:

[tex]V = \pi \int\limits^{1}_{0} {(x^{2}-1)^{2}} \, dx - \pi \int\limits^{1}_{0} {(x^{1/2}-1)^{2}} \, dx [/tex]

[tex]V = \pi\left[\int\limits^{1}_{0} {x^{4}} \, dx - 2\int\limits^{1}_{0} {x^{2}} \, dx -\int\limits^{1}_{0} {x} \, dx + 2\int\limits^{1}_{0} {x^{1/2}} \, dx \right][/tex]

And the volume of the solid of revolution is:

[tex]V = \pi \cdot \left(\frac{1}{5}-\frac{2}{3} -\frac{1}{2}+\frac{4}{3} \right)[/tex]

[tex]V = \frac{11\pi}{30} [/tex]

The volume of the solid obtained by rotating the region bounded by the given curves about [tex]y = 1[/tex] is [tex]\frac{11\pi}{30} [/tex] cubic units. [tex]\blacksquare[/tex]

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A rectangular garden is 5 ft longer than it is wide. Its area is 4550 ft. What are its dimensions?

Answers

Step-by-step explanation:

Area= lxb

L = 5+d

area= d(5+d)

4550=d²+5d

d²+5d-4550=0

d2+5d−4550=0

(d−65)(d+70)=0

d−65=0 or d+70=0

d=65 or d=−70

dimensions= 65, 70

The equilateral triangle with side 12 has altitude

Answers

Step by step explanation

What is the image of the point (-3, 4) after a rotation of 180° counterclockwise
about the origin?

Answers

Answer:

-3 ,-4

Step-by-step explanation:

Answer: ( 3 , -4)

Step-by-step explanation:

i got it wrong at first and it told me the right answer

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