How much interest will be earned on a $1600 investment at 7.72% compounded
quarterly for 9 years?

Answers

Answer 1
56% interest will be earned

Related Questions

Which pair of angles are vertical angles?

A) B) C) D)

Answers

Answer:

Step-by-step explanation:

The angles opposite each other when two lines cross. They are always equal.

here,vertically opposite angles are

angle RQW and angle TQU

angle RQV ang angle SQU

angle SQR and angle UQV

angle WQV and angle SQT

identify the angle type, then find the value of x

Answers

9514 1404 393

Answer:

acute anglex = 25

Step-by-step explanation:

The angle shown is 75°. It is less than 90°, so is an acute angle. (The diagram is misleading in that respect.)

__

The two marked angles are vertical angles, so have the same measure.

  3x° = 75°

  x = 25 . . . . . . . . divide both sides by 3°

graph the line with intercept 6 and slope
[tex] - \frac{3}{2} [/tex]

Answers

Given:

The y-intercept of a line = 6

The slope of the line = [tex]-\dfrac{3}{2}[/tex]

To find:

The graph of the given line.

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]

Where, m is the slope and b is the y-intercept.

Putting [tex]m=-\dfrac{3}{2}[/tex] and [tex]b=6[/tex] in the above equation, we get

[tex]y=-\dfrac{3}{2}x+6[/tex]

At [tex]x=0[/tex],

[tex]y=-\dfrac{3}{2}(0)+6[/tex]

[tex]y=0+6[/tex]

[tex]y=6[/tex]

At [tex]x=2[/tex],

[tex]y=-\dfrac{3}{2}(2)+6[/tex]

[tex]y=-3+6[/tex]

[tex]y=3[/tex]

Plot these two points (0,6) and (2,3) on a coordinate plane and connect them by a straight line to get the graph of the required line.

The required graph is shown below.

Find the center and radius of x^2 + y^2 +6x - 7=0

Answers

Answer:

The center (-3, 0)

9514 1404 393

Answer:

center: (-3, 0)radius: 4

Step-by-step explanation:

The desired parameters can be found by putting the equation into the standard form for the equation of a circle:

  (x -h)^2 +(y -k)^2 = r^2 . . . . . circle centered at (h, k) with radius r

The values of h and k will be half the coefficients of the linear x- and y-terms, respectively.

  x^2 +6x +9 +y^2 -7 = 9 . . . . . add 9 to complete the square

  (x +3)^2 +y^2 = 16 . . . . . . . . . add 7 to get the desired form

This equation shows us (h, k) = (-3, 0) and r = 4.

The center is (-3, 0), and the radius is 4.

The jackals howled loudly in the forest change in to interrogative ​

Answers

Answer:

did, the jackles howled loudly in the forest ?

Can y’all help me on question 18?!

Answers

Answer:

The answer is 220 cubic inches.

Step-by-step explanation:

To find the volume of the rectangular prism, use the formula for a rectangular prism, which is V= LWH. Next, plug in the information given from the question, and the formula will look like V= (10in) ([tex]5\frac{1}{2}[/tex] in) (4in).

Then, solve the equation for the answer, and the answer for the volume of the rectangular prism is 220 cubic inches.

220 Cubic ft. like the one above.

Leslie is a biologist. She’s going to randomly select one animal from her lab to study. There are five salamanders, three crayfish, and 12 minnows in her lab. What is P (salamander)?

Answers

p is salamander because the question doesn’t make sense

U.S. women aged 20 or over have a mean HDL cholesterol levels of 55mg/dl with a standard deviation of 15 mg/dl. Assume that the distribution is Normal. What proportion of women have HDL below 45 mg/dl or less?

Answers

Answer:

0.2514 = 25.14% of women have HDL below 45 mg/dl or less.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean HDL cholesterol levels of 55mg/dl with a standard deviation of 15 mg/dl.

This means that [tex]\mu = 55, \sigma = 15[/tex]

What proportion of women have HDL below 45 mg/dl or less?

This is the p-value of Z when X = 45. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{45 - 55}{15}[/tex]

[tex]Z = -0.67[/tex]

[tex]Z = -0.67[/tex] has a p-value of 0.2514

0.2514 = 25.14% of women have HDL below 45 mg/dl or less.

A teacher offers 8 extra credit assignments.what is the domain of this graph

Answers

C (0,1,2,3,4,5,6,7,8)
This is the answer because you’re given 8 coordinate points and the domain is also known as the x value which is the x axis so those numbers are 0-8

I NEED HELP PLZ, PLZ, I NEED HELP, I AM BEGGING YOU

Answers

Answer:

tn = 8n -7

Step-by-step explanation:

given : t2=9, t4=25

the formula is:

tn = t1 + (n-1) d

gonna find d first:

d = (25-9) /(4-2) = 16/2 = 8

and find tn1:

t1 = 9-8 = 1

so, tn = 1 + (n-1) (8) = 1 +8n -8

tn = 8n -7

Answer:

Solution given

n th term[tn]=?

1st term =a

difference =d

we have

t2=9

a+(n-1)d=9

a+(2-1)d=9

a+d=9

a=9-d..................[1]

again

t4=25

a+(n-1)d=25

a+(4-1)d=25

now

substituting value of a

9-d+3d=25

2d=25-9

d=16/2

d=8

substituting value of d in equation 1.

,a=9-8

a=1

we have

tn term =a+(n-1)d=1+(n-1)8=1+8n-8=8n-7

n th term =8n-7

Last year, nine employees of an electronics company retired. Their ages at retirement are listed below in years. Find the mean retirement age.56 65 62 53 68 58 65 52 56

Answers

Answer:

59.44

Step-by-step explanation:

Nine employees If an electronic company retired last year

The retirement ages are listed below

56, 65, 62, 53, 68, 58, 65, 52, 56

The mean retirement age can be calculated as follows

= 56+65+62+53+68+58+65+52+56/9

= 535/9

= 59.44

Hence the mean retirement age is 59.44

3y=150, what is the value of y-2​

Answers

Answer:

y = 48

Step-by-step explanation:

Start with the given 3y = 150.

Solve this for y by dividing both sides by 3:  y = 50

Then y - 2 = 50 - 2, or

        y    =    48

The value of y-2 is 48,

What is an equation?

Two expressions connected by an equal sign makes an equation.

Given is an equation, 3y = 150

Solving for y,

3y = 150

y = 150 / 3

y = 50

therefore, y-2 = 50-2

= 48

Hence, the value of y-2 is 48,

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A 200-liter tank initially full of water develops a leak at the bottom. Given that 20% of the water leaks out in the first 5 minutes, find the amount of water left in the tank 10 minutes after the leak develops if the water drains off at a rate that is proportional to the amount of water present.

Answers

Answer:

127.53 liters left after 10 minutes

Step-by-step explanation:

Let

[tex]A \to Amount[/tex]

[tex]t \to time[/tex]

Given

[tex]A(0) = 200[/tex] --- initial

[tex]A(5) = 200 * (1 - 20\%) = 160[/tex] --- the amount left, after 5 minutes

Required

[tex]A(10)[/tex] --- amount left after 5 minutes

To do this, we make use of:

[tex]A(t) = A(0) * e^{kt}[/tex]

[tex]A(5) = 160[/tex] implies that:

[tex]160 = 200 * e^{k*5}[/tex]

Divide both sides by 200

[tex]0.80 = e^{k*5}[/tex]

Take natural logarithm of both sides

[tex]\ln(0.80) = \ln(e^{k*5})[/tex]

[tex]\ln(0.80) = \ln(e^{5k})[/tex]

[tex]\ln(0.80) = 5k\ln(e)[/tex]

So, we have:

[tex]-0.223 = 5k[/tex]

Divide by 5

[tex]k = -0.045[/tex]

So, the function is:

[tex]A(t) = A(0) * e^{kt}[/tex]

[tex]A(t) = 200 * e^{-0.045t}[/tex]

The amount after 10 minutes is:

[tex]A(10) = 200 * e^{-0.045*10}[/tex]

[tex]A(10) = 200 * e^{-0.45}[/tex]

[tex]A(10) = 127.53[/tex]

Which of the following statements must be true

Answers

Answer:

only 3) is true. EC is equidistant (the same distance) to BD

Step-by-step explanation:

since we have no coordinates or other specific distance information for the various points and lines, we can only confirm statements that must be true for any placement of the lines inside a circle with the described attributes.

the distance EC could be the same as CB, but if we move ED further up or down in the circle (still parallel to CB), we can easily see, that this is not a general case.

the same for CB and BD.

since CB and BD are airways parallel to each other, the symmetry principle of a circle requires that the distance of EC is airways equal to the distance of BD for all such possible pairs of parallel lines inside the circle.

the graph itself gives an example that the distance CB and the distance ED do not have to be the same. they can be for certain pairs of parallel lines in the circle, but not for all of them.

What is the distance between 3x - 5y + 3 =0 and 6x - 10y -12 =0

Answers

9514 1404 393

Answer:

  (9/34)√34 ≈ 1.543

Step-by-step explanation:

The second equation can be rewritten as ...

  6x -10y -12 = 0

  3x -5y -6 = 0

  3x -5y = 6

__

The formula for the distance from point (x, y) to line ax+by+c=0 is ...

  d = |ax+by+c|/√(a²+b²)

Then the distance from a point to the first line is ...

  d = |3x -5y +3|/√(3² +(-5)²)

We know from the rearrangement of the second equation that points on its line satisfy (3x-5y) = 6. Substituting this value for (3x -5y) in the distance formula gives ...

  d = |6 +3|/√34

Simplifying and rationalizing the denominator gives a distance of ...

  d = (9/34)√34 ≈ 1.543

Which expression represents the total perimeter of her sandwich, and if x = 1.2, what is the approximate length of the crust?

Answers

A____________________

Which interval would not be used for the stems of a stem-and-leaf plot?
1
5
10
100

PLEASE HELP 100 IS NOT RIGHT

Answers

Answer:

I JUST DID IT ITS 5.

Answer:

5

Step-by-step explanation:

Dwayne improved his score on Commander
Quest from 65,720 to 88,722. By what percent
did his score increase?

Answers

Answer:

35%

Step-by-step explanation:

What was the numerical difference?

88722 - 65720 = 23002

Which number is the denominator for the % increase?

It must be 65720.

23002/ 65720  * 100 = 35%

So if we take 35% of 65720 and add it on  to 65720 what do we get.

35/100 * 65720 + 65720 = 88722 just as we should.

The running back for the Bulldogs football team carried the ball 7 times for a total loss of 8 3/4 yards. Find
the average change in field position on each run. Enter the average change as a simplified mixed number.
The average change in field position on each run was
yards.

Answers

Answer:

-1  1/4 yards

Step-by-step explanation:

7 carries

-8.75 yards  total yardage

    -.8.75 / 7  =  -1.25 yards average per carry

In mixed number ?    -1  1/4 yards          

What complex number is represented by the expression 7i5 + 9i8?

Answers

9514 1404 393

Answer:

  9 +7i

Step-by-step explanation:

i^2 = -1, so i^8 = (-1)^4 = 1, and i^5 = (-1)^2×i = i

Then ...

  7i^5 +9i^8 = 7i +9 = 9 +7i

15 34% is equal to which decimal

Answers

Answer:

0.44117647058824

15/34 as a decimal is 0.44117647058824.

Answer:

0,4411764706

Step-by-step explanation:

15/34=0,4411764706

Can y’all help me on question 3?!

Answers

9514 1404 393

Answer:

  60 gallons

Step-by-step explanation:

The area of the trapezoid-shaped wall is given by ...

  A = 1/2(b1 +b2)h

where b1 and b2 are the lengths of the parallel sides, and h is the perpendicular distance between them.

The area of the wall is ...

  A = (1/2)(5 ft + 15 ft)(6 ft) = 60 ft²

If it takes 1 gallon to cover 1 square foot, then it will take 60 gallons to cover 60 square feet.

Isha needs 60 gallons of paint.

Answer:

Isha needs 60 gallons of paints to the wall.

Step-by-step explanation:

The area of trapezoid shaped like wall is given by :-

Area of trapezoid = 1/2 × ( Base ¹ + Base ² ) × H

Where,

B ¹ and B ² are the length of bases and H is the perpendicular distance between them.

Area of wall = 1/2 × ( Base¹ + Base²) × Height

Where, according to question we have

Base ¹ = 5 t Base ² = 15 ftAnd , Height = 6 ft

substitute the values

Area = 1/2 × ( 5 ft + 15 ft ) × 6 ft

add the values of Base¹ and Base ²

Area = 1/2 × 20 ft × 6 ft

multiply

Area = 1 / 2 × 120 ft ²

divide

Area = 120 ft ² / 2 = 60 ft ²

It takes 1 gallon to cover 1 ft ². ... ( given)

So, For covering 60 ft ² it takes 60 gallons .

check

( 1 × 60 ) gallon = 60 ft ²

60 gallon = 60 ft²

What is the probability that Omar will get to drive the car after the first roll?

Answers

Answer:

1/6

Step-by-step explanation:

For Omar to drive, he has to get a six when a die is rolled ;

The probability that Omar will get to drive his car is :

Required outcome = (6) = 1

Total possible outcomes = (1,2,3,4,5,6)

P(rolling a 6) = required outcome / Total possible outcomes

P(rolling a 6) = 1/6

Probability of Omar driving his car is 1/6

The Coffee Counter charges ​$8.00 per pound for Kenyan French Roast coffee and ​$10.00 per pound for Sumatran coffee. How much of each type should be used to make an 18 pound blend that sells for ​$9.00 per​ pound?
The Coffee Counter should mix ___ pounds of Kenyan Roast coffee and ___ pounds of Sumatran coffee to make 18 pounds of a blend that sells for ​$9.00 per pound.

Answers

Answer:

x = 9

y = 9

Step-by-step explanation:

Given :

Let :

Kenyan French roast coffee = x

Cost per x = $8

Sumatran Coffee = y

Cost per y = $10

x + y = 18 - - - - (1)

8x + 10y = 9 * 18 ;

8x + 10y = 162 - - - - (2)

From (1):

x = 18 - y

Put x = 18 - y in (2)

8(18 - y) + 10y = 162

144 - 8y + 10y = 162

2y = 162 - 144

2y = 18

y = 9

x = 18 - y

x = 18 - 9

x = 9

A local running group collected data on the number of miles its group members run each week, x, and their average mile time, y. The results are shown in the table below. Weekly Mileage, x 10 25 12 10 15 20 22 25 20 24 Avg. Mile Time, y 9.3 8.75 8.2 5.5 6.3 8.5 6.7 6.35 5.45 6.25 Calculate the correlation coefficient using technology and interpret what it represents. The correlation coefficient of the data is -0.13, which means as the weekly mileage increases, the average mile time decreases. The correlation coefficient of the data is 0.87, which means as the weekly mileage increases, the average mile time increases. The correlation coefficient of the data is 0.87, which means as the weekly mileage increases, it has no affect on the average mile time. The correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.

Answers

Answer:

The correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.Step-by-step explanation:

The correlation coefficient of a data set describes how closely related two variables are. Correlation coefficients close to positive 1 show a strong positive correlation, while correlation coefficients close to negative 1 show a strong negative correlation. When a correlation coefficient is close to 0, it shows no correlation between the data.

For the given data set, calculate the correlation coefficient using technology.

This r-value is closer to 0 then it is to -1. Thus, the correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.

Answer:

The correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.Step-by-step explanation:

The correlation coefficient of a data set describes how closely related two variables are. Correlation coefficients close to positive 1 show a strong positive correlation, while correlation coefficients close to negative 1 show a strong negative correlation. When a correlation coefficient is close to 0, it shows no correlation between the data.

For the given data set, calculate the correlation coefficient using technology.

This r-value is closer to 0 then it is to -1. Thus, the correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.

PLEASE HELP ASAP !!! WILL MARK BRAINLIEST TO WHOEVER ANSWERS CORRECTLY

Answers

Answer:

See below.

Step-by-step explanation:

Alternate Interior Angles - 1

Alternate Exterior Angles - 2

Corresponding Angles - 4

Same-side Exterior Angles - 5

Same-side Interior Angles - 3

Answer:38292

A

Step-by-step explanation:w

jkwlw44444

Jill went on 8 hikes. The hikes were 6 miles, 4 miles, 2 miles, 3 miles, 7 miles, 5 miles, and 1 mile. What was the range of the lengths of Jill's hikes? :)

Answers

Answer:

range is 6

Step-by-step explanation:

The smallest number in this data set is 1 mile, the largest is 7 miles

the range is the difference between the biggest and smallest number so 7-1 = 6. The range is 6

No links please :) Love you guys stay safe 3

Answers

Answer:

C

Step-by-step explanation:

I've completed the test before. :)

there are 6 glass bottles and eight plastic bottles on a rack. I f one is chosen at random, what is the probability of picking a glass bottle? Which simulation can be used to represent this situation

Answers

Answer:

6:8

Step-by-step explanation:

6 is the ratio of glass bottles and 8 is the plastic or you can put 3:4 because you divide the number b 2

AD=7, BD=3, DE=6. Find BC

Answers

Answer:

the answer to this is 10 i think sorry if it is wrong

Step-by-step explanation:

The triangles are similar and the measure of BC = 60/7 units

What are similar triangles?

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be ΔABC

Let the second triangle be ΔADE

Now , ΔABC and ΔADE are similar triangles

where corresponding sides of similar triangles are in the same ratio

So , AD / AB = DE / BC

On simplifying , we get

7 / 10 = 6 / BC

Multiply by BC on both sides , we get

BC ( 7/10 ) = 6

Multiply by 10 on both sides , we get

7BC = 60

Divide by 7 on both sides , we get

BC = 60/7

Hence , the measure of BC = 60/7 units

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