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

Calculate the volume of a cuboid whose dimensions are 3.6cm 8.2cm 11cm

Answers

Answer:

[tex] 324.72 {cm}^{3} [/tex]

Step-by-step explanation:

Given,

Dimensions of a cuboid = 3.6cm, 8.2cm and 11cm

As we know,

Volume of a cuboid = length × breadth × height

Therefore,

Volume of the given cuboid

= 3.6cm × 8.2cm × 11cm

(On multiplying)

[tex] = 3.6cm \: \times 90.2 {cm}^{2} [/tex]

(On further multiplying)

[tex] = 324.72 {cm}^{3} (ans)[/tex]

Hello there! :)

V=lwh (length times width times height)

We are given that:

Length=3.6 cm

Width=8.2 cm

Height=11 cm

Plug the values into the formula for volume:

V=lwh

V=(3.6)(8.2)(11)

Multiply:

V=324.72 cm³ (cubic centimeters)

Remember, volume is measured in cubic centimeters.

Hope it helps. Please let me know if you have any questions.

~A smiley teen who adores helping others

[tex]MagicalNature :)[/tex]

Apply the distributive property to create an equivalent expression

Answers

Answer:

3e-3/2f-3/8

Step-by-step explanation:

You multiply everything in the parenthesis with 1/2. 1/2*6e=3e, 3f*1/2=3/2f, 3/4*1/2=3/8. This would be the answer.

What's the constant in 12n + 7 +13k⁴ + 4+ 39z​

Answers

Answer:

7, 4 or 11

Step-by-step explanation:

     No matter what n, k, or z is, 7 + 4 will always be constant. If you need to go farther, 7 + 4 is 11.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

can you please help out my daughter on this...​

Answers

Answer:

d

Step-by-step explanation:

I’m like 80% sure that the answer is c.

On a very hot summer day, 5% of the production employees at Midland States Steel are absent from work. The production employees are randomly selected for a special in-depth study on absenteeism. Assuming a binomial distribution, what is the probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent

Answers

Answer:

Answer:

60

Step-by-step explanation:

Given : On a very hot summer day, 5 percent of the production employees at Midland States Steel are absent from work. The production employees are randomly selected for a special in-depth study on absenteeism.

To find : What is the probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent?

Suppose that each of the numbers 0,1,2,3,4,5,6,7,8,9 is written on a piece of paper in a jar. If each number is equally likely, and x is the value of the number on the piece of paper, what is P(x < 6)

Answers

Answer:

10

Step-by-step explanation:

The value of P(x<6) is 1/2.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have,

The numbers 0,1,2,3,4,5,6,7,8,9 is written on a piece of paper in a jar.

So, P(x<6)

= P(x=5)+ P(x = 4)+ P(x=3) + P(x=2) + P(x=1)

= 1/10 + 1/10+ 1/10 + 1/10 + 1/10

= 5/10

= 1/2

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The radius of a circle is constantly increasing. At a certain moment, the rate of increase of the circumference is the same as the rate of increase of the area. At that moment, what is the area of the circle?
a. 1/pi
b.pi/4
c.4pi
d.pi
e.4/pi

Answers

rate of change circumference=rate of change area, derivative of circumference(2piR)=derivative of area(piR^2), 2pi=2piR, R=1, plug back into area formula: piR^2, pi(1)^2, area=pi :)

right ANSWERS only plz i need help on how to do it also not just the answer plz and thank u

Answers

Answer:

option c

Step-by-step explanation:

because 2x +1= 0

2x/2= -1

x= -1/2

What function is graphed below?

Answers

its the third option


My Kotwica is baking a few cakes for the bake sale for her school. Each cake requires 2
cups of sugar. How many cakes cun she bake if she has 7 1/3 cups of sugar?

Answers

She can only bake 3 cakes count up… 2…4…6 there is not enough for the 40th cake so she will have 1 1/3 cups of sugar left over. I hope that helps.

Help help help please good luck be honest

Answers

Answer:

A'(-6,4) B'(2,2) C'(-2,-2)

Step-by-step explanation:

The dilation is by 2. This just means you multiply each number by two. FOr example, for point a, multiply -3 by 2 and 2 by 2 to get (-6, 4).

Please any math experts helps thank you

Answers

Answer:

[tex]\frac{t^2-16}{t^2-8t+16}[/tex]

We can factorise the numerator which the difference of squares formula:

[tex]x^2-y^2=(x+y)(x-y)[/tex]

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

[tex]\frac{t^2-4^2}{t^2-8t+16} =\frac{(t+4)(t-4)}{t^2-8t+16}[/tex]

Next, factorise the denominator:

[tex]\frac{t^2-4^2}{t^2-8t+16} =\frac{(t+4)(t-4)}{(t-4)^2}[/tex]

[tex]\frac{(t+4)(t-4)}{(t-4)(t-4)}[/tex]

Cancel out the common factor of (t-4):

[tex]\frac{t+4}{t-4}[/tex]

Select the geometric figure that correctly matches with the following formula:

A=LW

Answers

Answer:

Square because the area of a square is length times width.

The formula matches with square.

What is Geometry?

A branch of mathematics that deals with the measurement, properties, and relationships of points, lines, angles, surfaces, and solids

As,

First, Area of circle  = πr²

Hence, it is not possible.

Second, square

Area of square = l * b = LW

Similarly for trapezium

Area= 1/2( a+ b)* h

Hence, the formula matches with square figure.

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Given that 6 >-2, which statements are true? Check all that apply. (2)(6)>(-2)(2) 6 --2 2 2. 0 (-2)(6)>(-2)(-2) 6 -2 -2 -2 (2)(6)​

Answers

Answer:

Gogogigi

Step-by-step explanation:

00.5 divide 53.342 give solution right answer=brainliest=10 points
☢️⚠☢️nonsense report☢️⚠☢️​

Answers

Answer:

Iᖴ 00.5÷53.342=0.009373476

Iᖴ 53.342÷00.5=106.684

Step-by-step explanation:

ᕼOᑭᗴ IT ᑕᗩᑎ ᕼᗴᒪᑭ YOᑌ ᒪOᐯᗴᒪOTՏ

10
Find the area of the shape.
Either enter on exact answer in terms of it or use 3.14 for it and enter your answer as a decimal.
units
Show Calculator

Answers

Answer:

(4-x)(x-4)=16-x2 help me please

Write an equation in slope-intercept form of the line shown.

Answers

Answer:

y=-3/2x+5

Step-by-step explanation:

The line intersects with points (2,2) and (4,-1). Slope intercept form is y=mx+b, where m is slope and b is the y intercept. The y intercept appears to be at (0,5), so b=5. As for the line, the formula for calculating slope is y2-y1/x2-x1 (the order of the points you use actually does not matter; you just have to make sure both coordinates from the same point are placed in the same part of the formula). -1-2/4-2=-3/2. Therefore, the slope is -3/2 (or -1.5 if you want a decimal).

A BIOCHEMICAL RESEARCH COMPANY PRODUCES 50% OF ITS INSULIN AT A PLANT IN KANSAS CITY, AND THE REMAINDER IS PRODUCED AT A PLANT IN JEFFERSON CITY. QUALITY CONTROL HAS SHOWN THAT.5% OF THE INSULIN PRODUCED AT THE PLANT IN KANSAS CITY IS DEFECTIVE, WHILE 1.35% OF THE INSULIN PRODUCED AT THE PLANT IN JEFFERSON CITY IS DEFECTIVE. WHAT IS THE PROBABILITY THAT A RANDOMLY CHOSEN UNIT OF INSULIN CAME FROM THE PLANT IN JEFFERSON CITY GIVEN THAT IT IS DEFECTIVE?

Answers

The probability that a randomly chosen unit of insulin came from the plant in Jefferson City given that is defective is 72.97%.

Given that a biochemical research company produces 50% of its insulin in Kansas and the rest in Jefferson, and 0.5% of Kansas's insulin is defective, while 1.35% of Jefferson's also is defective, to determine what is the probability that a randomly chosen unit of insulin came from the plant in Jefferson City given that it is defective, the following calculation must be performed:

0.5 + 1.35 = 1.85 1.85 = 100 1.35 = X 1.35 x 100 / 1.85 = X 72.97 = X

Therefore, the probability that a randomly chosen unit of insulin came from the plant in Jefferson City given that is defective is 72.97%.

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Simplify: 8√3 + 12√3

Answers

Answer:

20√3

Step-by-step explanation:

I need help. Im in 6th grade and I'm so confused. IT IS SAYING I NEED TO UPGRADE TO SEE THE ANSWER> NOO

Answers

Answer:

i can help with the problem

Dita adds 2 oz of milk to an 18 oz cup of coffee that is 10% milk. What is the percentage of milk in the resulting mixture?
SHOW YOUR WORK!

Answers

Increasing the amount of milk in the coffee increases the percentage of milk in the cup of coffee.

The resulting mixture is 19% milk

Reasons:

The known quantities are;

The volume of milk Dita adds to an cup of coffee = 18 oz

The percentage of milk in the cup of coffee = 10%

Required:

The percentage milk in the resulting mixture.

Solution:

Initial amount of milk initially in the cup of coffee = 10% × 18 oz = 1.8 oz

The total amount of milk in the resulting mixture = 2 oz + 1.8 oz =  3.8 oz

Volume of the resulting mixture = 2 oz + 18 oz = 20 oz

The percentage of milk in the resulting mixture is therefore;

[tex]\displaystyle \mathrm{Percentage \ of \ milk = } \frac{3.8}{20} \times 100 = 19\%[/tex]

The resulting mixture is 19% milk.

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what is 1/5 divided by 9?

Answers

Answer:

9/5

Step-by-step explanation:

Just divide the 9 by 1 so it'll be 9/5 hope it helps

Write the equation of the line that passes through the points (-9,9) and (8, -2).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer:

y + 2 = (11/17)(x - 8)

Step-by-step explanation:

Working with the x- and y-components of the given points, we see that the x component increases by 17 and the y-component decreases by 11.  Thus, the slope of this line is m = rise / run, or 11/17.

Start with the general point-slope form:  y - k = m(x - h) and use the coordinates of the 2nd point for h and k in this equation:

                                                                    y + 2 = (11/17)(x - 8)

                                                                     This is based on the point (-2, 8)

                                                                     and the slope 11/17.                                                                  

This result is the desired equation in point-slope form.  If we wish to reduce this, proceed as follows:

17(y + 2) = 11x - 88, or 17y + 34 = 11x - 88

This last result simplifies to 17y = 11x - 54, or y = (11/17)x -54/17 (which is in slope-intercept form).

y varies directly as x and x=20 when y=15. Find y when x=68

Answers

answer: when x=68, y = 51

help !! giving brainliest.

Answers

Answer:

i guess the 2nd one

.

.........

What is -3/2 as a decimal

Answers

Answer:

-1.5

Step-by-step explanation:

To convert a fraction to a decimal number divide the numerator (-3) by denominator (2)

Answer:

-1.5

Step-by-step explanation:

How do I do this problem?

Answers

Answer:

hey you can use scan and search

Answer:

I got : 0.42264973

Step-by-step explanation:

1/ -√3 + 1

-√3 = -1.73 ( 2 decimal place )

1/ -1.73 + 1

and found the answer

toby used 4 inches of tape to wrap a gift how much tape will he need to wrap 5 more of the same gift?

Answers

Answer:

20

Step-by-step explanation:

4*5 = 20%

please someone helpppp meeeeee

Answers

Answer:

b

Step-by-step explanation:

236

Answer:

my answer is C/386

Step-by-step explanation:

x/2+74+42+77=x

Math test urgent & any help would be greatly appreciated thank you the question is attached in the photo below

Answers

Answer:

Good luck on the test <333

Step-by-step explanation:

m<1 = ? // m<2 = ? // m<3 = ? // m<4 = ?

First I want to find the third angle because I see 93 degrees + 3 equals 180, so angle 3 is 87.

Now I find angle 2, because it seems as angle 2 is the same as 49 degrees.

Now for angle 1 and 4, we now that angles in a triangle sum to 180°. So for angle 1 the equation is 180 - (49 + 68), which is 63.

For angle 4 the equation is 180 - (49 + 87), which is 44.

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