Carter deposited $146.00 into a new savings account that earns 13% interest compounded
quarterly. How long will it take for the balance to grow to $239.00?
Round your answer to the nearest month.

___ years and ___ months

Answers

Answer 1

Answer:

it should be around 4 months I believe

Step-by-step explanation:

146.00(1+0.13/4)^(4×4)


Related Questions

How did u find 12? Because In my answer choices it doesn’t have 12

Answers

Answer:

Salamat sa puntos

Step-by-step explanation:

filipino ako

the sides of a triangle are 54,31,and 69. use the phone ythagorean theorem to determine if the triangle is right acute or obtuse.

Answers

Answer:

obtuse

Step-by-step explanation:

a² + b² = c²

Let's use the two shorter sides as legs.

a² + b² = 31² + 54² = 961 + 2916 = 3877

c = √3877 = 62.2655...

For the triangle to be a right triangle, the third side would have to have a length of 62.2655. The actual length of the third side is 69. 69 is greater than 62.3, so the angle between the sides 31 and 54 must be greater than 90°. Therefore the triangle is an obtuse triangle.

You want to bake a 20" diameter pizza. Give exact answers.

a. What should be the circumference of the pan?
b. What is the area of the pizza?
c. If you cut the pizza into 8 congruent slices, what is the area of one slice?
d. What is the length of the crust of one slice?

Answers

Step-by-step explanation:

pizza = circle

the area of a circle is

pi×r²

r = radius (half of the diameter). in our case 20/2 = 10".

the circumference of a circle is

2×pi×r

again, r = radius.

in our case that gives us

a.

2×pi×r = 2×pi×10 = 20×pi = 62.83185307... "

b.

the area of the pizza is

pi×10² = 100×pi = 314.1592654... in²

c.

it is 1/8 of the whole area, of course.

314.1592654... / 8 = 39.26990817... in²

d.

it is 1/8 if the whole circumference, of course.

62.83185307... / 8 = 7.853981634... "

Anna surveyed 300 of the students in her school about their favorite color. 186 students said their favorite color was red. What percentage of the surveyed students said their favorite color was red

Answers

Answer:

62 %

Step-by-step explanation:

186   out of 300

186/300 = .62    this represents 62%

Find the arc length of the semicircle.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.

Answers

Answer:

18.852

Step-by-step explanation:

Formula to find the arc of semi circle is :

Arc length = π r

Given that,

diameter ⇒ 12

So, the radius will be,

Radius ⇒ 12 / 2

            ⇒ 6

Let us solve now.

Arc length = π r

                  = 3.142 × 6

                  = 18. 852

Consider the function
f(x) = x² ln(x)
Find the second derivative and use it to calculate f''(1). Type your answer in the space below.

Answers

Answer:

y'=(1/x^2-3/x^4)*(1+15x^2)+(-2/x^3+12/x^5)(x+5x^3)

Step-by-step explanation:

We know that (x2)′=2x and that (ln(x))′=1x, soOr, putting x in evidence

a regular polygon has 33 sides find the size of each interior angle

Answers

Answer:

169.09 degrees

Step-by-step explanation:

Interior Angle of a polygon with 33 sides = (n-2) x 180/n degrees = (33-2) x 180/33 degrees = 169.09 degrees

given:

33 sides

to find:

the size if each interior angle.

solution:

[tex] \frac{360}{33} [/tex]

[tex] = 10.91[/tex]

[tex]180 - 10.91[/tex]

[tex] = 169.09[/tex]

[tex] \frac{169.09}{33} [/tex]

[tex] = 5.12[/tex]

hence, the size of each interior angle is 5.12°

Help! I got it wrong the first time

Answers

Answer:

The correct correspondence is B.

Can somebody help me with this it's the last question and i'm somehow very confused

Answers

The rule would be: Multiply the number of tablespoons by 3

Because based on the graph u see that for 1 tablespoon you have 3 teaspoons and for 2 tablespoons you have 6 teaspoons, for 3 tablespoons you have 9 teaspoons e.t.c.

1 x 3 = 3
2 x 3 = 6
3 x 3 = 9

So it’s just no. of tablespoons x 3 = no. of teaspoons

Hope this helped :)

You're really good at investing

Answers

Answer:

What do you mean by "You are really good at investing" ?

Step-by-step explanation:

Thank you please give brainliest

What is the vertex of f(x)=x2−8x+15 ?

Answers

Answer:

(4,-1)

i strongly believe that is the answer, pls mark as brainlist

Pls pls pls pls help po

Answers

Answer:

Here I did the working

Explanation:

Just use the formula of parallelogram

Parallelogram*

Given the points M = (8, 4, –3) and N = (–12, 6, –7), find Vector M N. in component form.

Vector M N = LeftAngleBracket 4, negative 10, 10 RightAngleBracket.
Vector M N = LeftAngleBracket negative 4, 10, negative 10 RightAngleBracket.
Vector M N = LeftAngleBracket 20, negative 2, 4 RightAngleBracket.
Vector M N = LeftAngleBracket negative 20, 2, negative 4 RightAngleBracket.

Answers

Considering the points M and N, the vector MN is component form is given by:

MN = [-20, 2, -4]

How to find a vector given two end-points?


The vector is given by the subtraction of the coordinates of the endpoint by the coordinates of the start point.

In this problem, for vector MN, we have that:

The endpoint is N = (–12, 6, –7).The start point is M = (8, 4, –3).

Hence:

MN = N - M = [-12 - 8, 6 - 4, -7 - (-3)] = [-20, 2, -4]

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Answer:

D on edge ( MN = (-20, 2 , -4)

Step-by-step explanation:

Leaf U. Allone needs to borrow $120,000 from his local bank for the home he is buying. The bank offers a 30 year mortgage at an APR of 6.5%.

A) How many monthly payments would it take to pay off the 30 year loan?

B) What is her monthly payment on the 30 year loan?

C) What is the total paid to the bank over 30 years?


D) How much of that is interest?

Answers

Answer:

A) It would take 360 monthly payment to pay of the 30-year loan.

B) Her monthly payment would be $650.

C) The total paid back to bank over 30 years would be $234,000

D) The total amount of interest was $114,000 (95% interest back to the bank after 30 years).

Step-by-step explanation:

6.5 percent *120000 =

(6.5:100)*120000 =

(6.5*120000):100 =

780000:100 = 7800

6.5% of 120,000 is 7,800.

Every year Leaf U. Allone has to pay $7,800 to the bank.

12 months in a year.

7,800 ÷ 12 = $650

Every month Leaf U. Allone has to pay $650 to the bank.

Over 30 years of paying 7,800

Multiply 7,800 * 30

= $234,000

To find the interest,

subtract 120,000 from 234,000

= $114,000 in interest.

Meaning the home value went up.

The cost of a first-class postage stamp in 1962 was 4. In 1999 it is 33. The cost was (and is) growing exponentially. What was the growth rate? What will be the cost of a first-class postage stamp in 2010?

Answers

Answer:

The growth rate was 5.87%

Step-by-step explanation:

Time interval is t=1999−1962=37 yearsInitial cost in 1962 was a=4 unit Final cost in 1999 was y=33 unit Exponential growth function :y=a(1+r)t;a>0,r>0,ris rate of growth in decimal form.y=a(1+r)tor33=4(1+r)37 or(1+r)37=334or(1+r)37=8.25 , taking log on bothsides we get, 37log(1+r)=log(8.25) orlog(1+r)=log(8.25)37orlog(1+r)≈0.24769(1+r)=100.24769or1+r≈1.0587∴r=0.0587 orr%=0.0587⋅100≈5.87%The growth rate was 5.87% [Ans]

Determine the probability of having 1 girl and 3 boys i a 4 child family assuming boys and girls are equally likely

Answers

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Im glad i could help out.

The annual number of burglaries in a town rose by 50% in 2012 and fell by 10% in 2013. hence the total number of burglaries increased by 40% over the two year period.
a. by what percent has the number of burglaries actually changed in the two-year period?
b. by what percent would the crime have to decrease in the second year in order for the change over the two-year period to actually be a 40% increase?

Answers

Answer:

a) 35%

b) 6.67%

Step-by-step explanation:

a) The annual number of burglaries in 2012 would be 150% and since in 2013, it fell by 10%:

10% of 150 is 15 so 150-15 = 135%.

The actual percentage increase of burglaries is 135% - 100% = 35% not 40%.

b) In the second year, the percentage would have to decrease by 10% of the initial 150% so [tex]\frac{10}{150}[/tex] = [tex]\frac{1}{15}[/tex] which as a percentage would be 6.66666....% or 6.67%.

The number of burglaries actually changed in the two-year period will be 35% and the crime have to decrease in the second year in order for the change over the two-year period to actually be a 40% increase will be 6.7%

Burglaries

It is act of breaking and entering a dwelling at night to commit a felony such as theft.

How to solve this problem?

The steps are as follow:

Let us assume that the annual number of burglaries in 2011 are 100. After that there is 50% increase in 2012 so the number of burglaries will be: 100(1.50) = 150.Burglaries after the 10% reduction in 2013 would be: 150(.90) = 135So there will be change in burglaries over the two-year period = (135 / 100) - 1 = 35% To know how much burglaries would have to reduce in order to have a 40% change in burglaries we would be using the following formula:

(x - 100) / 100 = 0.40

x - 100 = 40

x = 140

Change in burglaries over the two-year period to have 40% increase = (140 / 150) - 1 = 6.7%

So, burglaries after the 10% reduction in 2013 would be 35% and change in burglaries over the two-year period to have 40% increase will be 6.7%.

Learn more about burglaries here:

https://brainly.com/question/6203610

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Christine exercises more than 40 minutes per day.
Use t to represent Christine's amount of exercise (in minutes per day).

Answers

Answer:

t=40+

Step-by-step explanation:

I couldn't really tell what you meant by that question

The exam scores in Bryan's class are Normally
distributed with a mean of 88 points and a standard
deviation of 1.5 points.
Exam Scores
83.5 85 86.5 88 89.5 91 92.5
Score
Which statements are true? Check all that apply.
□ About 16% of all exam scores are less than 86.5
points.
About 16% of all exam scores are greater than 89.5
points.
About 68% of the test scores fall between 85 and 91
points.
About 84% of all exam scores are less than 89.5
points.
About 84% of all exam scores are greater than 89.5
points.
0

Answers

Using the Empirical Rule, it is found that the correct statements are given by:

About 16% of all exam scores are less than 86.5 points.About 16% of all exam scores are greater than 89.5 points.About 84% of all exam scores are less than 89.5 points.

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of  the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.

We also have to consider that the normal distribution is symmetric. Then, alog with the mean of 88 and standard deviation of 1.5, the correct statements are given by:

About 16% of all exam scores are less than 86.5 points(more than 1 standard deviation below the mean, the percentage, considering the symmetry, is 0.5 x 32 = 16%).About 16% of all exam scores are greater than 89.5 points, due to the same explanation as above.About 84% of all exam scores are less than 89.5 points, as the percentage is 50%(all below the mean) + 50% x 68%(one standard deviation above the mean) = 84%.

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Answer:

Step-by-step explanation:

Fill in the correct values in the statements.

About 68% of the observations will fall within

⇒ 1.5 points of the mean of

⇒ 88 points.

About

⇒ 95% of the observations will fall within 3 points of the mean.

About 99.7% of the observations will fall within

⇒ 4.5 points of the mean.

a - 1 = 70; a = 71 solution or not a solution??​

Answers

solution

hope it helps...!!!

5(x - 20) = 1/2 (4x + 4)


Show your work

Help

Answers

Answer: 334

Step-by-step explanation: Find the steps in the file

Answer:

34

Step-by-step explanation:

1. Expand 5(x - 20):

Use the distributive property to distribute 5 to x and -20

5x - 100

2. Expand [tex]\frac{1}{2} (4x + 4)[/tex]:

Use the distributive property to distribute [tex]\frac{1}{2}[/tex] to 4x and 4

2x + 2

3. Add 100 to both sides:

5x - 100 = 2x + 2

5x - 100+100 = 2x + 2+100

5x = 2x + 102

4. Subtract 2x from both sides:

3x = 102

5. Divide both sides by 3:

x = 34

hope this helps!

what is the area of the figure

Answers

Answer:

Explanation:

So you want to start by finding the area of the big square.

We know the width of the big square is 60cm. The length of the big square is

19

+

24

+

13

=

56

Big square

A

r

e

a

=

L

W

=

56

60

=

3360

Now let’s find the little square inside the bigger square. We see from the picture that the width is 34 and the length is 24cm. Using the same formula, we can find the area of the little square.

Little square

A

r

e

a

=

L

W

=

24

34

=

816

The area is enclosed in the area of the big square minus the area of the little square.

3360

816

=

2544

So the area enclosed is

2544

c

m

2

Step-by-step explanation:

HELP A marble paperweight shaped similar to a prism weighs 0.2 lb. How much does a similarly shaped marble paperweight weigh if its length, width, and height are tripled?


5.4 lb


0.6 lb


0.8 lb


1.8 lb

Answers

Answer:

0.6 lbs

0.2 ×3=0.6

explanation

Trust

1. The final scores from the last five games of two basketball teams are given.

Jumping Jackrabbits: 70, 65, 72, 80, 73

Leaping Lizards: 61, 47, 70, 63, 54

(a) Determine the MAD of each data set. In your work, show the mean and the absolute deviation of

each data value in each set.

(b) Compare and interpret the MADs in context of the situation.

Answer:

Answers

Using it's concept, it is found that:

a) For the Jumping Jackrabbits, the MAD is of 3.6 and for the Leaping Lizards, the MAD is of 6.8.

b) Due to the higher value of the MAD, the Leaping Lizards have less consistent scores than the Jumping Jackrabbits.

What is the mean absolute deviation of a data-set?

The mean of a data-set is given by the sum of all observations divided by the number of observations.The mean absolute deviation(MAD) of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.The mean absolute deviation represents the average by which the values differ from the mean.

Item a:

For the Jumping Jackrabbits, the mean and the MAD are given by:For the Jumping Jackrabbits, the MAD is of 3.6 and for the Leaping Lizards, the MAD is of 6.8.

M = (70 + 65 + 72 + 80 + 73)/5 = 72

MAD = (|70 - 72| + |65 - 72| + |72 - 72| + |80 - 72| + |73 - 72|)/5 = 3.6.

For the Leaping Lizards, the mean and the MAD are given by:

M = (61 + 47 + 70 + 63 + 54)/5 = 59

MAD = (|61 - 59| + |47 - 59| + |70 - 59| + |63 - 59| + |54 - 59|)/5 = 6.8.

For the Jumping Jackrabbits, the MAD is of 3.6 and for the Leaping Lizards, the MAD is of 6.8.

Item b:

Due to the higher value of the MAD, the Leaping Lizards have less consistent scores than the Jumping Jackrabbits.

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6. A circle has a circumference whose length is 25pi . Find the length of an arc whose
central angle is 90°.

Answers

Answer:

So, A 90° central angle cuts off an arc which has length 90/360 = 1/4 of the circumference. Therefore, length of arc = (1/4)(25π) = 25π/4.

Step-by-step explanation:

espero te sirva

find the mean, median and mode of the following data set: 8, 12, 15, 3, 7, 10, 15

Answers

given:

8, 12, 15, 3, 7, 10, 15

to find:

mean, median and mode.

solution:mean:

to find mean you'll have to add all of the numbers and divide by the number of numbers in the data set.

[tex] \frac{(8 + 12 + 15 + 3 + 7 + 10 + 15)}{7} [/tex]

[tex] = \frac{70}{7} [/tex]

[tex] = 10[/tex]

median:

to find median you'll have to order the numbers either in descending or ascending, and find the number in the middle.

[tex]3 \: 7 \: 8 \: 10 \: 12 \: 15 \: 15[/tex]

=10

mode:

most frequently occurred number is the mode.

[tex] = 15[/tex]

Please any math experts can help me convert this thank you so much

Answers

Step-by-step explanation:

First comes the turn of 5 / 9

Lets see how it is done

1 covert it to decimal by division

By division we get 0.555555555

2 now converting it to percentage by multiplication

Multiply 0.55555555 by 100

We get 55.555555 this the percent form

Same process can be repeated to get the answer to second part

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Zach's step counter tracked how many steps he took each day for a week. Number of steps 2,000 4,000 6,000 8,000 10,000 What was Zach's median number of steps?

Answers

the median of his steps will be five thousand

Answer: 8,000

Step-by-step explanation: Did it on IXL

A purse contains $7.60 in quarters and dimes. In all, there are 40 coins. How many of each kind are there?


I NEED 2 EQUATIONS!!!!!!!

Answers

.25x+.10y=7.6
x+y=40.

28/100 = ?/10 + 8/100. this is the second time i asked i need help on my work

Answers

Answer:

2/10

Step-by-step explanation:

28/100 - 8/100 = 20/100 = 2/10

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