a. Use the appropriate formula to find the value of the annuity.
b. Find the interest.
Periodic Deposit
$3000 at the end of each year
Time
Rate
6% compounded annually
30 years
(round to the nearest dollar if needed)

Answers

Answer 1

Answer:

i think The final answer would be $3512.58

Step-by-step explanation:


Related Questions

Answer asap and only if yk 100% its correct

Answers

The first option is 100% correct. It is 180 and the other is 175. Please mark this brainliest

find the x- and y- intercepts of parabola y=5x^2-16x+10

Answers

Y-INTERCEPT

[tex]y = 5x^2 - 16x + 10[/tex]

The y-intercept is where the equation/curve/parabola cosses the y-axis.

The y-axis is where x = 0. (The x-axis is where y = 0)

To find the y-intercept:

[tex]\text{y-axis} \rightarrow \text{x = 0} \rightarrow y = 5(0)^2 -16(0) + 10 = 10[/tex]

The y-intercept must be at (0, 10)

X-INTERCEPT (ROOTS/SOLUTIONS)

[tex]y = 5x^2 - 16x + 10\\\text{make it equal 0}\\y = 0\\\therefore 5x^2 - 16x + 10 = 0[/tex]

We need to use the quadratic formula

The quadratic formula helps us find what values of [tex]x[/tex] make the equation = 0

Quadratic formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\frac{-(-16) + \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\\x = \frac{16 + \sqrt{256-200}}{10}\\x = \frac{16 + \sqrt{56}}{10}\\x = \frac{16 + 2\sqrt{14}}{10}\\x = \frac{8 + \sqrt{14}}{5}\\\\\\x=\frac{-(-16) - \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\text{doing the same thing...}\\\text{end up with...}\\x = \frac{8 - \sqrt{14}}{5}\\[/tex]

The x-intercepts are at:

[tex](\frac{8 + \sqrt{14}}{5}, 0)\\(\frac{8 - \sqrt{14}}{5}, 0)[/tex]

What is the perimeter of the woods, in miles? Round
you
answer to the nearest tenth.

Answers

The perimeter of the woods is 26 miles if each grid represents one mile in the figure.

What is the area of the rectangle?

It is defined as the space occupied by the rectangle which is planner 2-dimensional geometry.

The formula for finding the area of a rectangle is given by:

Area of rectangle = length × width

We know the perimeter of the rectangle = 2(length + width)

As we can see closely in the figure the perimeter of the wood is actually a perimeter of a rectangle if we shift vertical and horizontal lines to make it a complete rectangle.

Let's suppose each grid is expressing one mile.

So the length of the rectangle = 9 miles

The width of the rectangle = 4 miles

The perimeter of the woods  = 2(9+4) = 26 miles

Thus, the perimeter of the woods is 26 miles if each grid represents one mile in the figure.

Learn more about the rectangle here:

https://brainly.com/question/15019502

#SPJ1

help please fast .. this is in the class

Answers

Answer:

3 is correct answer

Step-by-step explanation:

root 2 and pi are irrational numbers

If you wanted to make $1219 by investing $4206 of 10 years in an account that pays simple interest, what interest rate you would need to achieve your goal? rate(%):​

Answers

Answer:

2.90 % rate

Step-by-step explanation:

Simple intrest (si) = $1219

Principal (p) = $4206

time (t) = 10yrs

rate (r) = ?

Now using formula,

r = ix100/p×t

r = 1219×100/4206×10

r = 2.90 ( in calculator it will show 2.898 if the third digit is more than 5 after the decimal in the second number 1 is added so it will be 2.90)

the prime factorization of 567 is blank.

Answers

So, the prime factorization of 567 can be written as 34 × 71 where 3, 7 are prime.

3,7 are prime hopes this helps

Sheila is 1.7 m tall her son is 109 cm tall how many meters taller is Sheila than her son

Answers

Answer:

61 cm or 0.61 m

Step-by-step explanation:

1. One meter is 100 cm, so you multiply 1.7 meters by 100 to get 170 cm.

2. Now that they are in the same units, to get their difference in height, you subtract Sheila's height from her son's (170 - 109) and get 61 cm.

3. Convert it back to meters by dividing by 100 and you get their difference in height in meters, 0.61 m.

Answer:

0.61

Step-by-step explanation:

One cenimeter is equivalent to 0.01 meter.

109cm • 0.01 = 1.09m

1.7m - 1.09m = 0.61m

Sheila is 0.61m taller than her son

Corrine picked 1/4 gallon of blackberries. She poured the berries equally into 4 containers. What fraction of a gallon is in each container?​

Answers

Answer:

1/16

Step-by-step explanation:

In the starting, Corrine had 1/4 gallon of blackberries. Now, she poured the berries equally into 4 containers. Therefore, the amount of berries in each container is:1/4 : 4=1/16​

Thus, each container has 1/16 of a gallon of blackberries.

Answer:

1/16 th of a gallon in each container.

Step-by-step explanation:

That would be 1/4 divided by 4.

1/4 / 4

= 1/4 * 1/4

= 1/16.

Ciera can swim 400 meters in 1 minute and 20 seconds. What is Ciera’s average rate in meters per second?

Answers

Answer:

5 meters per second.

Step-by-step explanation:

There are 60 seconds in 1 minute:

1 minute 20 seconds = 60 seconds + 20 seconds = 80 seconds.

Divide the amount of meters swam (400) with the total amount of seconds used (80) to get the average meters per second:

(400 meters)/(80 seconds) = 5 meters/second.

5 is your answer.

~

Answer:

5 MPS

Step-by-step explanation:

If Ciera can swin 400 meters in 1 minute and 20 seconds,

400 meters = 1 minute 20 seconds (1 1/3 minutes).

Divide both sides by 1 1/3.

400/ 1 1/3 = 300

Since it asks in seconds, divide by 60.

300/60=5

can anyone answer this ? or recommend a better website or app that’s good for doing algebra problems like these..

Answers

Answer:

  (A)  7/(m+4)

Step-by-step explanation:

When fractions have a common denominator, you add them by adding their numerators and using that sum with the common denominator.

Here, you may be able to cancel a common factor from numerator and denominator to simplify the expression further.

  [tex]\dfrac{4m-17}{m^2-16}+\dfrac{3m-11}{m^2-16}=\dfrac{4m-17+3m-11}{m^2-16}=\dfrac{7m-28}{m^2-16}\\\\=\dfrac{7(m-4)}{(m+4)(m-4)}=\boxed{\dfrac{7}{m+4}}[/tex]

The function h(T)= 200- 16t represents the height of a ball dropped from 200 feet.
How far had the ball traveled after falling for 7 seconds?

Answers

Answer: 112 feet

Step-by-step explanation:

Which of the following is a negative aspect of wind power?
A. It does not generate waste and has little impact on the ecosystem
B. There is no emission of greenhouse gases
C. It is more expensive than traditional fossil fuel power stations
D. It takes more coal-fired power stations to produce as much energy

Answers

Answer:

C is the answer, as wind turbines are more expensive

Which expression is equivalent to this polynomial?

x2 + 12

Answers

Answer:

Option A is the correct answer

A. [tex](x+2\sqrt3 i)(x-2\sqrt3 i)[/tex]

Step-by-step explanation:

[tex](x + 2 \sqrt{3} i)(x - 2 \sqrt{3} i) \\ \\ = {(x)}^{2} - (2 \sqrt{3} i)^{2} \\ \\ = {x}^{2} - {(2)}^{2} {( \sqrt{3} )}^{2} {i}^{2} \\ \\ = {x}^{2} -12 {i}^{2} \\ \\ = {x}^{2} - 12( - 1) \\ (\because i^2=-1) \\ = {x}^{2} + 12[/tex]

Question 2 (Essay Worth 10 points)
(03.02, 03.03, 03.04 MC)
The amount of money in an account may increase due to rising stock prices and decrease due to falling stock prices. Marco is studying the change in the amount of
money in two accounts, A and B, over time.
The amount f(x), in dollars, in account A after x years is represented by the function below:
f(x) = 10,125(1.83)*
Part A: Is the amount of money in account A increasing or decreasing and by what percentage per year? Justify your answer. (5 points)
Part B: The table below shows the amount g(r), in dollars, of money in account B after r years
r (number of years) 1
2
3
4
g(r) (amount in dollars) 9,638 18,794.10 36,648.50 71,464.58
Which account recorded a greater percentage change in amount of money over the previous year? Justify your answer. (5 points)
2

Answers

Answer:

Account A: Decreasing at 8 % per year

Account B: Decreasing at 10.00 % per year

Account B shows the greater percentage change

Step-by-step explanation:

Part A: Percent change from exponential formula

f(x) = 9628(0.92)ˣ

The general formula for an exponential function is

y = ab^x, where

b = the base of the exponential function.

if b < 1, we have an exponential decay function.

ƒ(x) decreases as x increases.

Account A is decreasing each year.

We can rewrite the formula for an exponential decay function as:

y = a(1 – b)ˣ, where

1 – b = the decay factor

b = the percent change in decimal form

If we compare the two formulas, we find

0.92 = 1 - b

b = 1 - 0.92 = 0.08 = 8 %

The account is decreasing at an annual rate of 8 %.The account is decreasing at an annual rate of 10.00 %.

Account B recorded a greater percentage change in the amount of money over the previous year.

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

1 - 60

2 - 120

3 - 60

4 - 120

5 - 60

6 - 120

7 - 60

8 - 120

Step-by-step explanation:

Via supplementary angles, you can conclude that angle 5 is 60. Because of vertical angles, angle 8 is 120 and angle 7 is 60. Because of alternate exterior angles, angle 1 is congruent to angle 7 and angle 2 is congruent to angle 8, meaning angle 1 is 60 and angle 2 is 120. Because of vertical angles, angle 3 is 60 and angle 4 is 120.

Select the correct answer.
Which question Is NOT a statistical question?
O A.
How many vehicles do Boston residents have per household?
• B.
How much money do Boston residents spend on transportation every day?
O C.
How many Boston residents use public transportation?
® D.
How many times per month do Boston residents use
public transportation?
O E.
How long does it take for Boston residents to travel to work?

Answers

Answer:

A.  How many vehicles do Boston residents have per household?

Step-by-step explanation:

A statistical question is that question, which is answered by collecting variable data. For example - “How old are the students in your neighborhood?”

So, here the question that is not statistical is How many vehicles do Boston residents have per household? As its answer can be 1 or 2 at maximum.

Whereas;

B.  How much money do Boston residents spend on transportation every day? This is statistical as you need to conduct survey for this to collect data.

C.  How many Boston residents use public transportation?  This also needs survey to collect data and data will be variable.

D.  How many times per month do Boston residents use public transportation?  This is also statistical as you have to gather data from many people.

E.  How long does it take for Boston residents to travel to work? This is also statistical as everyone will have a variable answer depending on the distance they travel.

Answer:

A

Step-by-step explanation:

have a good day

Evaluate the following:

csc(theta)

25/7

sec(theta)

25/24

cot(theta)

24/7

Answers

CosФ=24/25

Sin Ф=7/25 CoseceФ=25/7

TanФ=7/24 cotФ=24/7

SecФ=25/24

A balloon rises to 100 feet in 4 minutes and 125 feet in 5 minutes. Write and solve an equation to find the distance the balloon rises in 8 minutes. Use d for distance and m for minutes.
Write the equation and the answer separated by a semi-colon. Included the unit in your answer.
For example, d = 5m; 35 feet

Answers

Answer:

See below

Step-by-step explanation:

100 ft in 4 min     =   25 ft/min

125 feet in 5 min =   25 ft min

so the height is   d = 25 * m           d = height   m = minutes

25* 8 = 200 feet

22 people share 333 chocolate bars equally. Each chocolate bar is the same size.
About how much chocolate does each person get?

Answers

given:

22 people

333 chocolate bars

to find:

the amount of chocolate each person get.

solution:

[tex] \frac{333}{22} [/tex]

[tex] = 15.1363636364[/tex]

[tex] = 15.14[/tex]

[tex] = \frac{15.14}{1} [/tex]

[tex] \frac{15.14}{1} \times \frac{100}{100} [/tex]

[tex] = \frac{1514}{100} [/tex]

[tex] \frac{1514 \div 2}{100 \div 2} [/tex]

[tex] = \frac{757}{50} [/tex]

[tex] = 15 \frac{7}{50} [/tex]

Answer:

[tex]15\frac{7}{50}[/tex]

Step-by-step explanation:

Given that:

22 people share 333 chocolate bars equally. Each chocolate bar is the same size.

To Find:

About how much chocolate does each person get?

Solve:

Since, it given us that 22 people share 333 chocolate bars equally and how much chocolate does each person gets. Therefore we have to divide the chocolate bars by the number of people.

 [tex]22\overline{|\smallspace333}\:\:\:\:\:\:[/tex]

[tex]\begin{matrix}\:\:\:\:\:\:\:\:\emptyspace1\emptyspace5.13636\:\:\:\:\:\:\:\:\:\:\:\\ 22\overline{|\smallspace333.0}\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace2\emptyspace2}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\emptyspace1\emptyspace1\emptyspace3\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace1\emptyspace1\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace3\emptyspace0\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

       [tex]\underline{\emptyspace2\emptyspace2}\\80\\\underline{\emptyspace6\emptyspace6}\\140\\\underline{\emptyspace13\emptyspace2}\\8[/tex]

Rounding to nearest tenth: 15.14

Now put 15.14 over 1

[tex]\frac{15.14}{1}[/tex]

Multiply both by 100

[tex]\frac{15.14}{1}\times\frac{100}{100}[/tex]

[tex]=\frac{1514}{100}[/tex]

[tex]=\frac{1514\div2}{100\div2}[/tex]

[tex]=\frac{757}{50}[/tex]

Turning into mixed number:

[tex]15\frac{7}{50}[/tex]

Thus, each person get about [tex]15\frac{7}{50}[/tex] chocolate

Kavinsky

What is some Non examples of a logarithmic function?

Answers

Answer:

In other words, the only numbers you can plug into a log function are positive numbers. Negative numbers, and the number 0

Step-by-step explanation:

Answer: negative numbers and the number 0 are non logarithmic functions

Step-by-step explanation:

How can you show your work for 8800 divided by 4

Answers

The number 8800 is called the numerator or dividend, and the number 4 is called the denominator or divisor.

The quotient of 8800 and 4, the ratio of 8800 and 4, as well as the fraction of 8800 and 4 all mean (almost) the same:

8800 divided by 4, often written as 8800/4.

Read on to find the result of 8800 divided by 4 in decimal notation, along with its properties.

What is 8800 Divided by 4?
We provide you with the result of the division 8800 by 4 straightaway:

8800 divided by 4 = 2200

The result of 8800/4 is an integer, which is a number that can be written without decimal places.
8800 divided by 4 in decimal = 2200
8800 divided by 4 in fraction = 8800/4
8800 divided by 4 in percentage = 220000%
Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or decimals, including 8800 and 4, of course.

Nick bought a sweater for $16.75 and $28.92. estimate how much Nick spent on the sweater and pants.question 2 if Nick paid with $50 how much money will he receive in change?​

Answers

1. Round to the nearest whole dollar and add: 17 + 29 = $46

Estimated he spent about $46


2. subtract the two amounts from 50:

50-16.75 - 28.92 = $4.33 change back

14. During math class, Hallie created the following
riddle to ask her father at dinner.
I am thinking of a number such that 3 less than
twice that number is the additive inverse of 7.
What is the number?
Which inverse operations in the correct
sequence will solve the riddle?
A. Add 3; then multiply by 2.
B. Add 3; then divide by 2.
C. Multiply by 1/2;then subtract 3.
D. Multiply by 1/2;then divide by 3.

Answers

Answer:

A

Step-by-step explanation:

work backwards so do the opposite of what they told you

example: - you do +

multiply, you do divide etc etc

6.
What is the perimeter of a regular pentagon with a side length of 4.9 cm?

4.9 cm
29.4 cm
14.7 cm
24.5 cm

Answers

Answer: The answer would be 4.9 :)

Step-by-step explanation:P=24.5cm

P=5a=5·4.9=24.5cm

=4.9

NEED HELP ASAP PLEASEEE

Answers

Answer:

.......C........

Step-by-step explanation:

......

What is the measure of angle y in this figure?

Answers

Answer:

163

Step-by-step explanation:

Opposite degrees are equal in two lines. (Vertical Angles)

Answer:

y = 163°

Step-by-step explanation:

The measure of angle y  is 163 ° because vertical angles are congruent and congruent angles have the same measure.

find the value of x ( SHOW YOUR WORK )

Answers

12/6 = x/4 because it is an equal triangle
Solve for x and get 8

A man drove his car at 80km per hr for 1 and a quarter hrs .He rested for 45mins and then covered 240km, at the same time. Calculate his average speed for the whole journey​

Answers

Answer:

Probably 128 km/h, but maybe 98.5 km/h. See below.

Step-by-step explanation:

What does "at the same time" mean?

If it means that he covered the 240 km in the same time as he convered the 80 km, then this is how you solve it:

80 km in 1.25 hour

240 km in 1.25 hour

Total distance: 80 km + 240 km = 320 km

Total time: 1.25 hour + 1.25 hour = 2.5 hour

average speed = (total distance)/(total time) = 320 km / 2.5 hour = 128 km/h

If it means he covered the 240 km in the same time he covered the 80 km plus the rest, then this is how you solve it:

80 km in 1.25 hour

240 km in 1.25 hour + 45 min = 240 km in 1.25 houir + 0.75 hour = 240 km in 2 hour

Total distance: 80 km + 240 km = 320 km

Total time: 1.25 hour + 2 hour = 3.25 hour

average speed = (total distance)/(total time) = 320 km / 3.25 hour = 98.5 km/h

What is the area of this figure?

Answers

Answer:

35 cm^2

Step-by-step explanation:

First find the area of a square by multiplying its side lengths together: 5 * 5 = 25 cm^2.

Now find the area of the triangle by multiplying the base by the height and dividing by 2: 4 * 5 / 2 = 10 cm^2.

Therefore the total area of the figure is 25 + 10 = 35 cm^2.

11. 20% of a number is 6. What is the number?
A. 12
B. 26
C. 30
D. 48

Answers

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

Let's solve ~

Assume the number to be x, and let's proceed as per the given information :

[tex]\qquad \tt \dashrightarrow \: \dfrac{20}{100} \times x = 6 [/tex]

[tex]\qquad \tt \dashrightarrow \: \dfrac{x}{5} = 6[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 5 \times 6[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 30[/tex]

So, the correct choice is C

given:

20% of a number= 6.

to find:

the unknown number.

solution:

let the unknown be x.

[tex]20\% \times x = 6[/tex]

[tex] \frac{20}{100} = 6[/tex]

[tex]x = 6 \times \frac{100}{20} [/tex]

[tex]x = 30[/tex]

therefore, 20% percent of 30 is 6.

answer= option c

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