If you deposit $6000 into an account paying 6% annual interest compounded
monthly, how long until there is $8000 in the account?

Answers

Answer 1

Answer:

It will take 4.4 years to gain $8000.

Step-by-step explanation:

Substitute the values in the formula.  

A = P (1+r/n) nt                    8000 = 6000 (1+0.06/12) 12t  

Use BEDMAS (order of operations) and solve the value in the brackets.

8000 = 6000 (1.005) 12t

Divide both sides by 6000  

1.3 = (1.005) 12t

Take the logarithm of both sides.  

log (1.3) = log (1.005) 12t

Include the exponent in the equation.

log (1.3) = (12t) (log 1.005)  

Divide both sides by log 1.005.

(log⁡(1.3))/(log⁡(1.005)) = 12t

Find out the log.  

52.6039 = 12t  

Divide both sides by 12.  

4.4 = t  

I'm attaching a word document where everything is organized.


Related Questions

what two numbers multiply up to -24 and add up to 2​

Answers

Answer: whatdidshesay

Step-by-step explanation:

What’s the missing side length?

Answers

4 yd. 9-5=4. Hope this helps!

Which of the following is an expression for "doubling a number n and dividing by 3"

Answers

Answer:

its 2n / 3 i hope it helped u thanks

Plz plz help I’m failing math and need help

Answers

Answer:

5 sweat shirts- $100

8 sweat shirts- $160

9 sweat shirts- $180

12 sweat shirts- $240

Step-by-step explanation:

Each sweat shirt costs $20

Matthew had 11.9 meters of string. He cut the string into pieces that were each 0.34 meter long.

How many pieces of string was he able to cut?

Enter your answer in the box.

Answers

Answer:

35

Step-by-step explanation:

11.9/0.34 = 35

Answer: 35

Answer:

35 pieces of string.

Step-by-step explanation:

Matthew was cutting a 11.9 meter piece of string into 0.34 meter pieces, to find the solution for this divide 11.9 by 0.34. If you want to know how to do this by hand I would use a khan academy video.

How far up the house would a ladder be resting if it is 25 ft long and 3 ft
away from the house? Round to the nearest tenth if necessary.
5.3 ft
21 ft
24.8 ft
25.2 ft

Answers

Answer:

C

Step-by-step explanation:

The last one is absurd. You can't have a ladder reaching higher than itself. The question is a Pythagorean problem.

Givens

a = 3

b = ?

c = 25 feet

Formula

a^2 + b^2 = c^2

Solution

3^2 + b^2 = 25^2

9 + b^2 = 625                  Subtract 9 from both sides.

b^2 = 625 - 9

b^2 = 616                        Take the square root of both sides.

b = sqrt(616)

b = 24.8

For kite JKLM, find m∠1.

Answers

Answer:

∠1=38°

Step-by-step explanation:

KM bisects ∠JML. Therefore, ∠JMN=∠LMN

∠JMN=∠LMN

38°=∠1

In a lab, 450 cells are present at the beginning of an experiment. The number of cells increased by 18% each hour. a) Write an exponential growth model giving the number of cells y present t hours after starting the experiment. b) Estimate the time when the number of cells is 1,030.

Answers

Answer:

Step-by-step explanation:

y = 450 × 1.18^t

:::::

450 × 1.18^t = 1,030

1.18^t = 1,030/450 = 103/45

t×ln(1.18) = ln(103/45)

t ≈ 5 hours

Please help we with this.

"a card is shaped like a rectangle, The card is 9 centimeters long and 4 centimeters wide. what is the area?"

answers:

49
36
13
5

Answers

Answer:

36

Step-by-step explanation:

To find area you multiply length×width which is the same as 9×4

9×4= 36

Answer:

36 centimeters

Step-by-step explanation:

A = l x w

A = 9 x 4

A = 36

PLEASE HELP ME WITH MATH!!
The question is: Thirteen plus 5 times a number is no more than 30.”

Answers

Let the number be x.

13 + 5x < 30

5x < 30 - 13

5x < 17

x < 17/5

Step-by-step explanation:

let number be x

equation= 13 + 5x =or<30

if 13+5x=30

5x=17

x=3.4

Need help plzzzzz will give Brainly est

Answers

Answer: 6 years

Step-by-step explanation:

The formula for the Simple interest is given as: = PRT

Since we've been given some values already, we slot it into the formula and this will be:

Interest = PRT

78.12 = 217 × 6% × T

78.12 = 217 × 0.06 × T

78.12 = 13.02T

T = 78.12/13.02

T = 6

Time = 6 years

subtract (7x - 3) -(5-3x)​

Answers

Answer:

4x-8

Step-by-step explanation:

7x-3-5-3x

combine like terms

7x-3x-3-5

4x-8

unless there is a value for x then that is all i can do

hope this helps:)

Answer: 10x - 8

Step-by-step explanation:

(7x - 3) -(5-3x)​

= (7x - 3) - 5 + 3x      Made them without ​parentheses. For -(5-3x), because there are - in front them, which means to multiply -1, so it become -5+3x.

= 7x - 3 - 5 + 3x

= 7x + 3x - 3 - 5

= 10x - 8

Alyssa uses 4 ounces of flour to make pancakes each morning how long will it take her to use up a 6 pound bag

Answers

there is 16 ounces in a pound so you would do 6 x 4 which equals 24 days or mornings it would take to use the 6 pounds

If Alyssa uses 4 ounces of flour to make pancakes each morning how long will it take her to use up a 6 pound bag is 24 days.

Number of days

Using this formula

Number of days=Number of ounces×Number of pound bag

Where:
Number of ounces=4 ounces

Number of pound bag=6

Let plug in the formula

Number of days=4×6

Number of days=24 days

Therefore  how long will it take her to use up a 6 pound bag is 24 days.\]

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can you begin solving x-2/x+3 ≥2 by multiplying both sides of the inequality by x+3? Explain your answer.

Answers

Answer:

yes, but there is a better way

Step-by-step explanation:

instead of multiplying x+3 on both sides, I would instead subtract 2 on both sides. If you do this, it would be easier to write this equation in standard form and find the intervals.

In summary, to solve the inequality (x - 2)/(x + 3) ≥ 2, we can multiply both sides of the inequality by x + 3 only when x > -3 to preserve the direction of the inequality.

To solve the inequality (x - 2)/(x + 3) ≥ 2, we need to consider the impact of multiplying both sides of the inequality by x + 3.

When multiplying both sides of an inequality by a positive number, the direction of the inequality remains the same. However, if we multiply both sides by a negative number, the direction of the inequality is reversed.

In this case, the expression x + 3 is in the denominator of the left side of the inequality. If we multiply both sides of the inequality by x + 3, we need to consider two scenarios:

If x + 3 is positive: In this case, we can multiply both sides of the inequality by x + 3 without changing the direction of the inequality.

If x + 3 is negative: Multiplying both sides of the inequality by x + 3 would require flipping the direction of the inequality.

Therefore, we need to ensure that x + 3 is positive before multiplying both sides by x + 3 to preserve the direction of the inequality.

To determine when x + 3 is positive, we set the denominator equal to zero and solve for x:

x + 3 = 0

x = -3

So, if x > -3, then x + 3 is positive.

In summary, to solve the inequality (x - 2)/(x + 3) ≥ 2, we can multiply both sides of the inequality by x + 3 only when x > -3 to preserve the direction of the inequality.

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Each bus for Philips Elementary School transports 40 students to school. There are 12 buses that transport students to school each day. How many students are transported to school each day by bus? Show your work.

Answers

Answer:

480 students are transported to school each day.

Step-by-step explanation:

Since there are 12 buses and each one of them transports 40 students that means that the total amount of students will be equal to...

12 x 40 = 480

Write an equivalent ratio described in the situation below. The ratio of boys to girls is 5/2

Answers

Answer:

5: 2 or 10: 4

Step-by-step explanation:

as a ratio, this would be 5: 2.

Im not sure if it's asking you to also make a new ratio that fits this, but if it is you could multiply both sides by 2 to get

10 : 4

Factor completely: 2x^3-12x^2+18x

Answers

Answer:

2x(x - 3)²

Step-by-step explanation:

We can simplify this a lot by first factoring 2x out of each term:

2x³ - 12x² + 18x

= 2x(x² - 6 + 9)

We can then factor the trinomial fairly easily, as it's a perfect square:

= 2x(x - 3)²

La profundidad de una alberca aumenta paulatinamente desde 0.80 metros hasta 3 metros en una longitud de 10 metros cual es el angulo de inclinacion de la alberca

Answers

Answer:

El ángulo de inclinación de la alberca es aproximadamente 12.407º.

Step-by-step explanation:

Puesto que conocemos la distancia horizontal ([tex]l[/tex]) y la variación en la profundidad ([tex]h[/tex]) de la alberca, en metros, podemos emplear la siguiente razón trigonométrica para calcular el ángulo de inclinación de la alberca ([tex]\alpha[/tex]), en grados sexagesimales:

[tex]\alpha = \tan^{-1}\left(\frac{h}{l} \right)[/tex] (1)

Si sabemos que [tex]l = 10\,m[/tex] y [tex]h = 2.20\,m[/tex], entonces el ángulo de inclinación de la alberca es:

[tex]\alpha \approx 12.407^{\circ}[/tex]

El ángulo de inclinación de la alberca es aproximadamente 12.407º.

what is the end behavior of
A(x)=(x+3)(x-4)(3x-7)(4x-3)

Answers

Answer:

Step-by-step explanation:

Since the highest power is x^4, y increases without bound as x approaches positive or negative infinity. So the end behavior is positive infinity.

HELP PLEASE 24 POINTS

Answers

Answer:

C

Step-by-step explanation:

A sports equipment researcher investigated how different types of wood used to make baseball bats might affect batting. The researcher selected a sample of 80 batters from summer baseball leagues and randomly assigned the batters to one of two groups: the ash bat group or the maple bat group. The mean number of hits for each group was recorded at the end of the season, and the difference in the sample means was calculated. Which of the following is the appropriate inference procedure for analyzing the results of the investigation?
A. A one-sample t-interval for a population mean
B. A one-sample t-interval for a sample mean
C. A matched pairs t-interval for a mean difference
D. A two-sample t-interval for a difference between sample means
E. A two-sample t-interval for a difference between population means

Answers

Answer:

E  

A two-sample  t -interval for a difference between population means

Step-by-step explanation:

i just took the test

The appropriate inference procedure for analyzing the results of the investigation is option E. A two-sample t-interval for a difference between population means

Analysis the results of the investigation:

Since the researcher selected a sample of 80 batters from summer baseball leagues and batters assigned to one of the two groups. So this means that the researcher is interested to know whether the mean no of hits should be different for two groups and both groups are independent to each other.

Therefore, The appropriate inference procedure for analyzing the results of the investigation is option E. A two-sample t-interval for a difference between population means

learn more about mean here: https://brainly.com/question/10132345

Work out the size of angle BCD

Answers

Answer:

sin62=BD/AB

BD=Sin62×AB

BD=Sin62×15

BD=13.24

ALSO,

Tan C = BD/BC

Tan C = 13.24/24

Tan C = 5.51 / 10

C = Tan^-1 ( 5.51 / 10 )

Answer:

∠BCD = 29°

Step-by-step explanation:

sin 62 = BD/15

0.8829 = BD/15

BD = 13.24

tan ∠BCD = 13.24/24 = 0.5517

∠BCD = 29°

An English instructor asserted that​ students' test grades are directly proportional to the amount of time spent studying. Lisa studies 4 hr for a particular test and gets a score of 72. At this​ rate, how many hours would she have had to study to get a score of 96​?

Answers

Answer:

12 hours.

Step-by-step explanation:

A car starting from rest accelerates at a rate of 7.5 m/s2. What is its final speed at the end of 4.0 seconds?

Answers

Step-by-step explanation:

initial velocity is 0

time is 4 seconds

acceleration is 7.5mper second square

using the formula s=ut+1/2at^2[distance equal to initial velocity times time plus half into acceleration times (time )squared] substitute s=0×4+2×7.5 ×4^2

s=0+7.5×16

s=120m

Help me with this pls

Answers

the answer is C) 180°
the answer is c!!!!!

Triangle DFE with coordinates D(0,0), F(3,0), and, E(3,1) is similar to triangle EHG. If vertex G has coordinates (9,3), what are the coordinates of vertex H?

Answers

Answer:

coordinates are (x,y)->(x+6,y+2)

F's coordinate is (3,0)

using the coordinates we get (9,2)

Therefore the coordinates are (9,2)

The required coordinates of vertex H are (6,2).

What is a Triangle?

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles.

Given that triangles DFE and EHG are similar.

This means that the ratios of the lengths of their corresponding sides are equal.

As per the question, we have:

DF/FH = DE/EG

Since DF = 3 and DE = 1, we can set up the following equation to find the length of FH:

FH = EG × (DF/DE)

Substituting the known values, we get:

FH = EG × (3/1)

As we know that EG = 6, we can substitute this value to find that FH = 18.

The coordinates of F are (3,0) and the coordinates of H are (x,y), we can set up the following equations to find the values of x and y:

x - 3 = 18

y - 0 = 2

Solving these equations, we find that x = 21 and y = 2.

Thus, the coordinates of vertex H are (6,2).

Learn more about the triangles here:

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help me please!!!!!!!!​

Answers

Answer:

16/19 students

New Answer:

3/5 students

Step-by-step explanation:

(7^0)*7^2. please solve this problem fast​

Answers

Answer:

49

Step-by-step explanation:

PLease mark brainliest

Which graph represents the same relation as the set {(-3,2).(5.5)(3,3).(3.-2)}}
Please hurry:(?

Answers

Answer:

b

Step-by-step explanation:

–7 + 8x2 – 4x




WHY WHY WHY

Answers

Answer:

3

Step-by-step explanation:

8*2 = 16 + -17 = -1 - 4 = 3

Answer:

3 if you accidentally put that x at the end there.

Step-by-step explanation:

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