how long would it take an investment of $25000 to amount to $40 000 at a flat rate of 9.5% per annum?​

Answers

Answer 1

Answer:

it will take approximately 6.32 annum(years) to reach $40000

Step-by-step explanation:

9.5% of $25000 = $2375

$40000 - $25000 = $15000 so you need to make an interest of $15000 overall to reach $40000

since you make $2375 each year therefore

$15000 ÷ $2375 will give you the number of years to reach $40000

hence 15000 ÷ 2375 = 6.315

approximately = 6.32 annum(years)


Related Questions

A bycycling club has 18 members,of which 11 are males and the rest females. What is the ratio of males to all club members

Answers

Answer:

11 : 18

Step-by-step explanation:

to figure out number of female members (not neccessary to solve this problem)

18 members = male + female members

18 members = 11 members + female members

-11                      -11

---------------------------------------------------------------------

7 members = female members

ratio of males to all club members

11 : 18

The percentage error in measuring a clothe is 40% if the error committed is 10cm what is the original Value of the measurement??​

Answers

25
cross multiply:
40% - 10
100% - x
so 40x = 1000
x=25

What is the vertex of this quadratic function? y=6(x+1)2-9 Please Help!

Answers

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ y = 6(x+1)^2-9\implies y = 6[x-(\stackrel{h}{-1})]^2\stackrel{k}{-9}\qquad \qquad \stackrel{vertex}{(-1~~,~~-9)}[/tex]

Can somebody help me I’m confused on how solving the equation

Answers

Answer:

You answer is.

(d)YesA = -9

Step-by-step explanation:

Example Problem.

y = 2^ (x - h) + k

y = 8^(x-0) - 9

The h = 0 so there no transition left/right.

There is a k = -9 which means transition down/up but it is a negative so down.

Domain: all real number ( -inf , +inf)

Range: (k, inf) -> (-9, +inf)

k = -9 is also y=-9 that the graph can't pass.

Solve this system of equations. -2x-4y=-12

Answers

Answer:

x = 6 and y = 3

Step-by-step explanation:

Your equation: -2x-4y=-12

__________________________________________________

First, we'll solve for x.

You need to divide -2x on both sides.

**We'll exclude/forget the -4y since we're not dealing with it right now.

-2x = -12

x = 6

When dividing with negatives, if both of the numbers are negatives they shall cancel and become positive.

-12 divided by -2 is 6 positive.

Therefore, x = 6

_______________________________________________________

Next, we'll solve for y

The same thing as last, we'll exclude our -2x since we're not dealing with it anymore.

-4y = -12

-12 divided by -4 is a positive answer since the two negatives cancel out.

-12/ -4 = 3

Therefore, y = 3

________________________________________________________

The proper vocabulary of the "x" and the "y" are x-intercept and y-intercept.

We just solved for both.

Simplify the expression.
(m^-1 m^5/m^-2)^-3

a)- 3m^4/m^2
b)-m^216
c)m^18
d)1/m^18

Answers

d) 1/m^18

Explanation:
(m^-2/m-1m5)^3
m^-6/m^-3m^15
1/m^6 / m^15/m^3
1/m^6 / m^12
1/m^6 (1/m^12)
1/m^18

let me know if you want clarification

Answer:

[tex]D)\frac{1}{m^{18} }[/tex]

Step-by-step explanation:

Multiply [tex]m^{-1}[/tex] by [tex]m^{5}[/tex] by adding the exponents.

Use the power rule [tex]a^{m} a^{n} =a^{m+n}[/tex] to combine exponents.

[tex](\frac{m^{-1+5} }{m^{-2} } )^{-3} \\[/tex]

Add -1 and 5.

[tex](\frac{m^{4} }{m^{-2} } )^{-3}[/tex]

Move [tex]m^{-2}[/tex] to the numerator using the negative exponent rule [tex]\frac{1}{b^{-n} } =b^{n}[/tex].

[tex](m^{4} m^{2} )[/tex]

Multiply [tex]m^{4}[/tex] by [tex]m^{2}[/tex] by adding the exponents.

Use the power rule [tex]a^{m} a^{n} =a^{m+n}[/tex] to combine exponents.

[tex](m^{4+2} )^{-3}[/tex]

Add 4 and 2.

[tex](m^{6} )^{-3}[/tex]

Multiply the exponents in [tex](m^6)^{-3}[/tex]

Apply the rule and multiply exponents, [tex](a^m)^n=a^{mn}[/tex].

[tex]m^{6*-3}[/tex]

Multiply 6 by -3.

[tex]m^{-18}[/tex]

Rewrite the expression using the negative exponent rule [tex]b^{-n} =\frac{1}{b^{n} }[/tex].

[tex]\frac{1}{m^{18} }[/tex]

I’m confused can someone help?

Answers

Answer:

(a) check the first one, and the second one

(b) check the last one

Step-by-step explanation:

This is quite easy actually.

(A)

3x+24 = 3 * x + 3 * 8

3(x+8) using distribute property.

3x + 24

You cannot simplify 3x+24 any further

And 3(8x+1) just doesn't work

since it's multiplying

The "*" is an X sign

(B)

The first, second, and third are not correct

But the last one is.

mollie wants to measure the capacity of the kitchen sink she has a 1 L container and a 10 mL container which should she use

Answers

Answer:

1 L

Step-by-step explanation:

Kitchen sinks are pretty large in terms of volume in Liters

use the 1 L container

Find the quotient of 3/5 and 2/3
Give your answer as a fraction in its simplest form.

Answers

The quotient is 9/10

ANSWER QUICK FOR A. AND B. !

Answers

Answer: a=4

b=1600x

Step-by-step explanation:

Eight pounds of peanuts cost $24.00. Six pounds of walnuts cost half as much.

Answers

Answer:

1 pound of peanuts cost 3 dollars

1 pound of wallnuts costs 2 dollars

Step-by-step explanation:

24/6=4

12/6=2

Please somebody help me. I’m begging.

Answers

Answer:

d=1

Step-by-step explanation:

d=2*r

r=(1/2)

d=2*(1/2)=1

What is the f(3) for:
F (x) = 2x^2 + 5 (x-2)

Answers

2(3)^2 + (15-10)
18+5
23
That should be it

ents
Suppose a furniture builder has two models of a bookcase: standard and artisan. The standard
model requires 4 hours to assemble and 2 hours for finishing touches. The artisan model requires 2
hours to assemble and 2 hours for finishing touches. Based on their current staffing, they can
manage a maximum number of assembly hours available is 48 per day, and the maximum number
of finishing hours available is 44 per day.
Let x = the number of standard model bookcases produced per day and y = the number of artisan
model bookcases produced per day.
Write the system of inequalities that represents the maximum number of bookcases that can be
produced in one day.

Answers

Answer:

48 ≥ 4x + 2y

44 ≥ 2x + 2y

    First, we will look at assembling hours.

"The standard model requires 4 hours to assemble [and] the artisan model requires 2 hours to assemble"

    We also know they have 48 hours per day for assembly, x is standard model and y is artisan model.

48 = 4x + 2y

    Lastly, they do not need to make that many, but they can so we will use greater than or equal to.

48 ≥ 4x + 2y

    Now let us look at finishing hours.

"The standard model requires ... 2 hours for finishing touches. The artisan model requires ... 2 hours for finishing touches."

    We also know they have 44 hours per day for assembly, x is standard model and y is artisan model.

44 = 2x + 2y

    Again, they do not need to make that many, but they can so we will use greater than or equal to.

44 ≥ 2x + 2y

2. Find the probability of throwing a 10 with a pair of dice and choosing a red from a standard deck of cards.​

Answers

Answer:

Step-by-step explanation:

You can get 10 with a pair of dice with:
4 + 6, 6 + 4, 5 + 5

out of a possibile 36 results

There are 52 cards in a standard deck of cards. Reds make up half of them (hearts and diamonds) , meaning theres a 50/50 chance of pulling red

10/36 * 1/2 = 5/36 chance of throwing 10 + pulling red

the circumference of the hub cap of a tire is 79.38 cm. Find the area of this hub cap. use 3.14 for pi

Answers

Answer:

ans 19785.719

Step-by-step explanation:

formula πr^2

Arderi Air Conditioning sells one primary model of air conditioner. Each unit of this model costs them $61.25 to produce, but it sells for $142.50 apiece. Arderi Air Conditioning employs three salespeople, each of whom earns a different commission per unit sold, as shown on the following table. Salesperson Commission/Sale Mary $36.25 Jay $28.50 Abby $25.75 Last month, Arderi Air Conditioning had a total fixed overhead cost of $7,622.25. It is known that one salesperson sold 51 units, one salesperson sold 43 units, and one salesperson sold 54 units. Which arrangement of sales would cause Arderi Air Conditioning to break even? a. Mary sells 54 units; Jay sells 51 units; Abby sells 43 units b. Mary sells 54 units; Jay sells 43 units; Abby sells 51 units c. Mary sells 43 units; Jay sells 51 units; Abby sells 54 units d. Mary sells 43 units; Jay sells 54 units; Abby sells 51 units Please select the best answer from the choices provided

Answers

The arrangement of sales which would cause Arderi Air Conditioning to break even is Mary sells 54 units; Jay sells 51 units; Abby sells 43 units.

What is a break even point?

The break even point is the point at which the cost of production of an item to produce is equal to the revenue generated after selling it.

Arderi Air Conditioning sells one primary model of air conditioner. Each unit of this model costs them $61.25 to produce, but it sells for $142.50 apiece. Thus,

Cost price C=$61.25Sells price S=$142.50

Arderi Air Conditioning employs three salespeople, each of whom earns a different commission per unit sold, as shown in the following table.

Salesperson  Commission/Sale     Mary            $36.25     Jay               $28.50   Abby              $25.75

It is known that one salesperson sold 51 units, one salesperson sold 43 units, and one salesperson sold 54 units. Thus, the total AC sold is,

[tex]n=51+43+54\\n=148[/tex]

Now, the selling price is $142.50. Thus, the revenue after selling 148 units is,

[tex]R=148\times142.50\\R=21090[/tex]

The cost price is  $61.25. Thus, the cost of production of 148 units is,

[tex]R=148\times61.25\\R=9065[/tex]

Last month, Arderi Air Conditioning had a total fixed overhead cost of $7,622.25. Suppose, Mary sells 43 units; Jay sells  units; Abby sells 54 units. Thus, the total cost,

[tex]C_t=7622.25++9065+43\times36.25 +51\times28.50 +54\times25.75\\ C_t=21090[/tex]

The total cost is equal to the total revenue. This point is break even point.

Thus, the arrangement of sales which would cause Arderi Air Conditioning to break even is Mary sells 54 units; Jay sells 51 units; Abby sells 43 units.

Learn more about the break even point here;

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Answer:

c.

Mary sells 43 units; Jay sells 51 units; Abby sells 54 units

Help plssssssssssssssssssss I NEED THIS TODAY!! PLS

Answers

Answer:

The first 1 is the answer (a)

Step-by-step explanation:

A is correct have a good day

Simplify this fraction to the lowest terms 14/12

Answers

Answer:

1 1/6 or 7/6

Step-by-step explanation:

Divide both 14 and 12 by 2

PLEASE HELP ASAP DUE TOMORROW

Answers

The area of the shaded part of the given figure is 60 square inches'

How to calculate the area of a composite shape.

The given figure is made up of a rectangle and 2 similar triangles

Area of the shaded part = Area of rectangle + area of 2 triangles

From the figure

Area of rectangle = 12 * 4 = 48 square in

Area of one triangle = 0.5(6)(4) = 12 square in

Area  of the figure = 48 + 12

Area  of the figure = 60 square inches'

Hence the area of the shaded part is 60 square inches.

Learn more on area of composite figure here: https://brainly.com/question/15981553

In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.3 inches, and standard deviation of 1 inches. What is the probability that the height of a randomly chosen child is between 53.3 and 55.3 inches

Answers

Answer:

a) We need to find p(x<68.15)

Standardize x to z, we have, z = (68.15-μ)/σ

=(68.15-57)/8.1

=1.38

Reading from standard normal tables,

p(z<1.38) =0.9162.

b) We need to find p(x>54.4)

Standardize x to z, we have, z = (54.4-μ)/σ

=(54.4-57)/8.1

=-0.32

Reading from standard normal tables,

p(z>-0.32) = 0.6255

Laurence earned scores of 87, 80, 75, and 85 on four biology tests. What score must he earn on his next test to have an 85 average?

A. 95
B. 98
C. 80
D. 85

Answer: 98

Answers

To get an 85 average, Laurence needs a score of 25 on his upcoming biology exam.

What is math average?

The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics.

                 When calculating the average for a set of data, we first sum up all the values and divide the result by the total number of values.

Average = (sum of values) / (number of values)

The total of Laurence's marks on the first four biology exams can be calculated using the following formula

Sum of scores = 87 + 80 + 75 + 85

= 327

We need the total of all five scores to be 85 x 5 = 425 in order to obtain an average of 85 for five tests.

Therefore, We need the total of all five scores to be 85 x 5 = 425 in order to obtain an average of 85 for five tests.

Next score = (sum of all five scores) - (sum of first four scores)

= (85 x 5) - 327

= 25

Therefore, To get an 85 average, Laurence needs a score of 25 on his upcoming biology exam.

Learn more about average

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could i have some quick help factoring trinomials?

Answers

Solution 1

6x² + 34x -126x² + 36x -2x -126x(x+6)-2(x+6)(6x-2)(x+6)

Solution 2

48c²-160c+10012c² - 40c + 2512c² - 30c -10c + 256c(2c-5) -5(2c-5)(6c-5)(2c-5)

Solution 3

-6x-51xy+27xy²3x(-2-17y+9y²)3x(-2-18y+y+9y²)3x(-2(1+9y)+y(1+9y))3x(9y+1)(y-2)

#1

6x²+34x-126x²+36x-2x-126x(x+6)-2(x+6)(x+6)(6x-2)

#2

48c²-160c+100

Cancel by 4

12c²-40c+2512c²-30c-10c+25(2c-5)(6c-5)

#3

-6x-51xy+27xy²3x(-2x-17y+9y²)

Plutonium-240 decays according to the function Q(t) = Qoe^-kt
where Q
represents the quantity remaining after t years and k is the decay constant,
0.00011... To the nearest 10 years, how long will it take 36 grams of
plutonium-240 to decay to 12 grams?

Answers

Answer:

  9990 years

Step-by-step explanation:

The exponential function with given values filled in can be solved for the unknown using logarithms.

__

  Q(t) = 12 = 36e^(-0.00011t)

  1/3 = e^(-0.00011t) . . . . . . divide by 36

  ln(1/3) = -0.00011t . . . . . . take natural logs

  t = ln(1/3)/(-0.00011) . . . . divide by the coefficient of t

  t ≈ 9990 . . . years

Paige used 1 1/2 cups of flour and 1/4 cup of butter to make 12 muffins. How much flour and butter would palat
need for 18 muffins?

A. 3 cups flour and 3/4 cup butter

B. 2 3/4 cups flower and 1/8 cup butter

C. 2 cups flower and 1/2 cup butter

D. 2 1/4 cups of flower and 3/8 cup butter

Answers

Answer:

D

Step-by-step explanation:

To turn the fraction of 1 1/2 to decimal would be : 1.50 add fifty percent because you have to add 6 to 12 and six is half, so you add half. Half of 150 is 75 so add them you get 225 and as a fraction, that's 2 1/4. Already you have the first part done. Since there is only one answer with 2 1/3 your answer has to be D.

Over the last 16 years Johanna saved some of her pay each month. She now has $46000. She decided to invest some of it at 5.25%

Answers

Answer:

what is the question?

do you have to find how much she is investing?

What is the Area of the circle

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Area of circle :

[tex]\qquad \sf  \dashrightarrow \:\pi r {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \pi\times (3.5) {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:12.25 \: \pi[/tex]

[tex]\qquad \sf  \dashrightarrow \:38.465 \: \: unit {}^{2} [/tex]

Answer:

38.465 units²

Step-by-step explanation:

The formula to find the area of a circle is πr². Simply substitute the radius in the formula to find the area.

Substituting the radius in the formula:

⇒ πr²

⇒ π(3.5)²                                                                        [Radius (r) = 3.5 units]

Evaluating the area:

⇒ π x 12.25

⇒ 3.14 x 12.25

38.465 units²

help me help me help me​

Answers

Answer:

read step by step

Step-by-step explanation:

6 is +4.

19, 23, 27, 31

7 is all perfect square numbers

25, 36, 49, 64

8 is x2.

32, 64, 128, 256

9 is each number multiplied by the next. ex: 1x2=2, 2x3+6, 3x4=12

so the next few would be 30, 42, 56, 72

Compare using inequalities <>, or
During February in Du Bois, Pennsylvania the temperature was -23 degrees at 11 am. The temperature was -6 degrees
at 7 pm.
-0)
A)
-23 >-6
B)
-23<-6
O
-6<-23
D)
-6=-23

Answers

Answer:

B. - 23 < -6

Step-by-step explanation:

1) Zero helps mark directions in value Choose ALL contexts that correctly describes zero.

A) elevation:0 feet is called the ground floor

B bank account below 5D is a
negative balance

C)electricity an object that has 0 charge is neutral

D) buildings on an elevator, o represents the sea level
temperature temperature above is a negative temperature

E) temperature : temperature above 0 is a negative temperature

Answers

Answer: A,C,D

Step-by-step explanation:

Answer:

bank account and electricity

Step-by-step explanation:i tried the other one and it was all incorrect

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