6. Rudi deposited $100 at the end of each month in an annuity that paid 7.5%
compounded monthly. At the end of 6 years, the interest rate increased to 8.5%.
The deposits were continued for another 5 years. What is the amount of the
annuity at the last deposit? (4 marks)

Answers

Answer 1

Answer:

1005

Step-by-step explanation:


Related Questions

What is the average rate of change of f(x), represented by the table of values, over the interval [-2,3]?

Answers

Answer:

D. 0.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Average Rate of Change: [tex]\displaystyle \frac{f(b) - f(a)}{b - a}[/tex]

Step-by-step explanation:

Step 1: Define

Interval [-2, 3]

b = 3

a = -2

f(b) = f(3) = 5

f(a) = f(-2) = 2.5

Step 2: Find

Substitute [ARC]:                     [tex]\displaystyle \frac{5 - 2.5}{3 + 2}[/tex][Frac] Subtract/Add:                [tex]\displaystyle \frac{2.5}{5}[/tex][Frac] Divide:                           [tex]\displaystyle 0.5[/tex]

Round of 94136 to the nearest whole number

Answers

Answer:

94136

Step-by-step explanation:

It would just be the same thing because their is no decimal or fraction after the number and 94136 is already a whole number

simplfy the expression and combine like terms 4 (x - 2) + 2 (x + 1)

Answers

Answer:

6x-6

Step-by-step explanation:

First you use the order of operations and multiply 4(x)+4(-2)=4x-8 and then 2(x)+2(1)=2x+2. Then you add it all together, 4x+2x+2-8=6x-6.

(hope this helps!)

a standardized test has 125 questions with a total of 1300 points

Answers

Answer:

Ummmm.... Whats your qustion???? Im confused...

Step-by-step explanation:

What is the estimated probability that at least two of the puppies will be
female?
O A. 5/10 = 50%
O B . 8/10 = 80%
O C. 3/10 = 30%
O'D. 7/10 = 70%​

Answers

Given:

The results of the simulation.

Number of puppies = 4

To find:

The estimated probability that at least two of the puppies will be female.

Solution:

Let heads (H) = Female puppy.

Let tails (T) = Male puppy.

The results of the simulation are HHHH, TTTH, TTHH, HHTT, THTH, HTTH, HHHT, HHTT, HTHH, THTT.

Total outcomes = 10

The results having 2 or more H are HHHH, TTHH, HHTT, THTH, HTTH, HHHT, HHTT, HTHH.

Favorable outcomes = 8

Now,

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]\text{Probability}=\dfrac{8}{10}[/tex]

Probability in % is

[tex]\text{Probability}\%=\dfrac{8}{10}\times 100[/tex]

[tex]\text{Probability}\%=80\%[/tex]

The estimated probability that at least two of the puppies will be female is [tex]\dfrac{8}{10}=80\%.[/tex]

Therefore, the correct option is B.

Fill in the table using this function rule.

y=-2x+3

× -2, -1, 0, 1

Answers

Answer:

If x = -2, -1, 0, 1, then (In this order) y = 7, 5, 3, 1

Step-by-step explanation:

If you put in each value of "x" into the equation, you'll get the appropriate "y".

y= -2(-2)+3

y= 4+3

y= 7

y= -2(-1)+3

y= 2+3

y= 5

y= -2(0)+3

y= 0+3

y= 3

y= -2(1)+3

y= -2+3

y= 1

HELP PLZ

The PTA plans a spring carnival on a Saturday in April. If it's a sunny day, they estimate

that they will make $3,000, but if it rains, they will lose $600 because nobody will come.

There's a 30% chance of rain on Saturday. Create a probability model.

Answers

Answer:

The probability model is

= P(A or B)

Step-by-step explanation:

a) Data and Calculations:

Estimated revenue if the day is sunny = $3,000

Estimated loss if the day is rainy = $600

The probability of rain = 30%

Therefore, the probability of sunshine = 70% (100 - 30)

The probability model is based on the probability of rain or sunshine

= P(A or B)

= A*70% - B*30%

The outcome from either rain or sunshine

= ($3,000 * 70%)  -($600 * 30%)

= $2,100 - $180

= $1,920

Today is Lucy's birthday. She is 5 years old. How old is Lucy in months?

Answers

Answer:

60 months

Step-by-step explanation:

hope that helps

Answer:

60 months

Step-by-step explanation:

12 months in a year

12x1=12

12x2=24

12x3=36

12x4=48

12x5=60 (:

Simplify by combining Like Terms: 3x + 6 + 8x2 - 2x + 3x2

Answers

x + 6 + 16 + 6
answer: x + 28

Write the simplified form of the expression:
(-0.5z+0.9z)-(-0.3+0.9z)=

Answers

Answer:

[tex]=-0.5z+0.3[/tex]

Step-by-step explanation:

Given

[tex](-0.5z+0.9z)-(-0.3+0.9z)=[/tex]

Required

Simplify

Start by removing brackets

[tex]= -0.5z+0.9z+0.3-0.9z[/tex]

Collect Like Terms

[tex]=-0.5z+0.9z-0.9z+0.3[/tex]

[tex]=-0.5z+0.3[/tex]

Rajeev deposits $800 in a savings account earning interest at a rate of 4% compounded annually. How much is in his account after five years?

Answers

Answer:

960

Step-by-step explanation:

We know that 4 percent of 800 dollar is 32 dollar. So 32 time 5 (because it ask us how much after 5 year) is 160. Now we add it to 800 because it ask  the total in his account so it 960.

After five years, Rajeev have $960 in his account.

What is mean by Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

We have to given that;

Rajeev deposits $800 in a savings account earning interest at a rate of 4% compounded annually.

Here, Principal amount = $800

Rate = 4%

Time = 5 years

Hence,

Interest = PRT/100

            = 800 x 4 x 5 / 100

            = 160

Thus, Total amount after 5 years is,

⇒ 800 + 160

⇒ $960

Therefore, After five years, Rajeev have $960 in his account.

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ3

Need help there only one answer

Answers

Answer:

12 + 12x + 6y

Step-by-step explanation:

6(2 + x + x + y)

= 6( 2 + 2x + y)

= 12 + 12x + 6y

Hope it will help :)❤

PLZ HELP IF U DONT KNOW PLZ DONT ANSWER

Answers

the question mark is equal to -5 and if you need f than f is equal to -15

Answer:

f= -15

Step-by-step explanation:

Is x-3 a factor of f(x)=x^3-9x^2+22x-3

Answers

Answer: Yes

y-intercept: f(0)= -3

Eric bought a pizza pie, he ate 3/8 of the pie,karla ate 1/4 of the pie ,how much of the pizza did eat

Answers

Answer:

5/8 of the pizza was eaten

Step-by-step explanation:

1/4=2/8

2/8+3/8=5/8

Answer:

5/8

Step-by-step explanation:

3/8 + 1/4

1/4 x 2 = 2/8

3/8 + 2/8 = 5/8

Ugh Lets discuss that when someone posts a PlEaSe HeLp me I have been trying all nIgHt a million people go to that question but when I ask %) points and brainliest no one answers it.

Answers

Answer:

Huh?

Step-by-step explanation:

Answer:

I been trying to get someone to help answer 2 of my English questions and 1 spanish question for like 3 weeks and no one wants to help. But they want my help. Like what's up with that.

find the value of a? Need help ASAP

Answers

Is 9 an answer?
If it is I think 9

witch of the following best described perpendicular lines?

Answers

Answer: I have to make one up In geometry, a branch of mathematics, perpendicular lines are defined as two lines that meet or intersect each other at right angles (90°).

Step-by-step explanation:

(X)=x3-22x2+157x-360 divided by (x-8)

Answers

Answer: 45 tell me if im wrong

Step-by-step explanation:

Use the information to answer the question
A diver is swimming at an elevation of -8 feet when she starts to descend at a rate of 2 feet per second for 7 seconds.
What is the diver's elevation after she descends for 7 seconds? Enter the answer in the box.
feet

Answers

Answer:

-22 ft.

Step-by-step explanation:

So we know that the diver descends (goes deeper) at a rate of 2 feet per second.

We also know that he/she is already at an elevation of -8 feet.

The first we need to do to solve this question is to find out the number of feet the diver descends in 7 seconds:

We do this by multiplying the amount of time by the number of feet (7 x 2)

as we all know 7 x 2 = 14 feet

So the diver dove deeper by 14 feet.

Now we have to add 14 and 8 to find the divers new elevation:

14 + 8 = -22 ft.

The divers' elevation after descending for 7 seconds is -22 ft.

plz mark me brainliest if correct :)

The diver's elevation after she descends for 7 seconds will be -22 ft.

What is an expression?

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

So we know that the diver descends (goes deeper) at a rate of 2 feet per second.

We also know that he/she is already at an elevation of -8 feet. The first we need to do to solve this question is to find out the number of feet the diver descends in 7 seconds:

We do this by multiplying the amount of time by the number of feet (7 x 2)

As we all know 7 x 2 = 14 feet. So the diver dove deeper by 14 feet. Now we have to add 14 and 8 to find the diver's new elevation:

14 + 8 = -22 ft.

Therefore, the diver's elevation after she descends for 7 seconds will be -22 ft.

To know more about an expression follow

https://brainly.com/question/25808192

#SPJ2

What is the distance between point P1 and P2?

Answers

The rise is 1 and the run is 7

The trapezoid has an area of 115 sq. units.

Answers

Answer:

Its has an area 115 square ft

Step-by-step explanation:

A bag contains 1 green, 4 red, and 5 yellow balls. Two balls are selected at random. Find P(1 red and 1 yellow).

Answers

Answer:

1/5

Step-by-step explanation:

Answer:4/9

Step-by-step explanation:

If someone walks 6 2/3 miles our three day. How many miles how they walked per day

Answers

Answer:

Approx. 2.2 miles

Step-by-step explanation:

Convert 2/3 to a decimal, (.66)

Then, add it to the number 6. (6.6)

Divide the 6.6 miles by 3= 2.2.

Approx 2.2 miles a day

The ratio of boys to students is 3 to 7. If there are 20 girls in the school, then how many boys are in the school?

Answers

ANSWER- 1

3to 7 = 3x7= 21 boys

there are 20 girls and 21 boys so

21-20= 1
one more boy

what is the triangles congruence theorem could you use to prove the triangle ADE is congruent to Triangle CDE

A) side angle side triangle congruence
B) angle side angle triangle congruence
C) side side side triangle congruence
D) side side angle triangle congruences ​

Answers

Answer:

B) angle side angle triangle congruence

Step-by-step explanation:

In the diagram given, the two angles, <A and <E, and the included side, AE, are congruent to the corresponding two angles, <C and <E, and corresponding included side, CE.

Therefore, based on the ASA Congruence Theorem, we can conclude that both triangles are congruent to each other.

Given the following roots identify additional roots 10 and √3

Answers

Given:

Two roots of a function are 10 and [tex]\sqrt{3}[/tex].

To find:

The additional roots.

Solution:

According to irrational root theorem, if [tex]\sqrt{b}[/tex] is a root of a function, then [tex]-\sqrt{b}[/tex] is also a root of than function.

Two roots of a function are 10 and [tex]\sqrt{3}[/tex].

Using irrational root theorem, we can say that [tex]-\sqrt{3}[/tex] is also a root of that function.

Therefore, the additional root is [tex]-\sqrt{3}[/tex].

Pls anaerw this fast

Answers

Answer:

what do you need help with

i would like to know what kind of algebra that i was ?

Answers

Answer:

algebra  1

Step-by-step explanation:

Answer:

basic algebra

This chapter contains elementary algebra tutorials on the following topics:

1. Adding and Subtracting Algebraic Expressions, shows you how to do problems like: Simplify: −2[−3(x − 2y) + 4y].

2. Multiplication of algebra expressions, has examples like:

Expand (2x + 3)(x2 − x − 5).

3. Division of algebraic expressions, for example: (12a2b) ÷ (3ab2)

4. Solving Equations, like this one: 5 − (x + 2) = 5x.

5. Formulas and Literal Equations, which shows how to solve an equation for a particular variable.

6. Applied Verbal Problems shows why we are doing all this.

Step-by-step explanation:

HAHAHAHAHAHA LOL XD

does this graph show a function?

Answers

Answer:

I think no this graph doesnot show function

no

Answer: no

Step-by-step explanation:.

Other Questions
CanYouHelp meIts hard Pls help and show workings. Best get brainiest The table shows a proportional relationship between the weight on a spring scale and the distance the spring has stretched.a. Complete the table.b. Describe the scales you could use on the x and y axes of a coordinate grid that would show all the distances and weights in the table.distance (cm) weight (newtons)20 2855 1401 Graph the geometric sequence 6, 12, 24, 48 Mr. Bakhtawar, a Individual Person, has following information for the Tax Year 2020. His Annual Tax Certificate from Employer shows, Annual Gross Salaried Income of Rs. 1450,000. His employer has deducted WHT under Section 149 (Salary of Employee) Rs. 97200. His Mobile Tax Certificate shows WHT under Section 236 (Prepaid Telephone Card) Rs. 2355. He received share of Profit from Investment in a Business Rs. 750,000. He received Rent from Property as follow: o Shop Rent of 20,000 per month (Shop was rented for 11 Month Only) o Rent from Owned Flat Rs. 18,000 permonth (Flat was rent for full year) The details of his Personal Assets as follow: Balances June 30, 2019 June 30, 2020 Cash at Hand 150,000 180,000 Bank Account (Salaried) 421,000 659,000 Bank Account (Saving) 850,000 1265,000 Investment Securities (Saving Certificates and Prize Bonds) 1255,000 1550,000 Investment in Business 4,000,000 4,000,000 Property (Residential) 4,200,000 4,200,000 Property (Shop Rented) 3,500,000 3,500,000 Property (Flat Rented) 2,800,000 2,800,000 Calculate: Total Income subject to Normal Income Tax (Note: exclude from Income from Property as this is subject to Fixed/Final Tax) Tax Chargeable Normal Income Tax (on Income from Salary + Business) Fixed Income Tax (on Income from Property) Admitted Income Tax (Remaining Tax Liability) Total Inflow during the Tax Year 2020 (Reconciliation of Net Assets) His estimated Personal Expenses (Reconciliation of Net Personal Assets) Give 5 animals that producing fragmentation What is a group of two or more atoms that are held together by chemical bonds?A.) formulaB.) moleculeC.) mixtureD.) element HELP ME PLEASE an object appears fuzzy when seen though an ___________ material.if u get it right u get brainliest 1. What have modern observations shown sunspots to be? The trapezoid consists of a triangle and a parallelogram. The area of the trapezoid is 48 square feet. Find the length of the base of the triangle. Someone please help me At what points will Al be producing the most equal amounts of sandwiches and salads? At what point will Al not be using his resources efficiently? What point is not possible for production at this time?? A car battery is a 12V DC source. Typically you will find a fuse that can handle a 7 amp surge to power on the lights in your car. What resistance is that fuse protecting?*' 4xi + 5yi^8+ 6xi^3 + 2yi^4 which Principle of Design is related to PATTERN, EMPHASIS, and REPETITION? What is your innate immune system? What is a stimulus?the tiny bone in the middle ear that transmitssound waves to the cochleaanything in the environment that triggers aresponse from sensory receptorsthe proper term for the taste buds on thetongue and in the mouththe layer of the skin that detects pain Southemers who owned slaves made up __of the population a. 5%b. 30%c. 25%d.10% does anyone know any good spells The first stage of a space vehicle consumed fuel and oxidizer at the rate of 1.75 x 104 kg/s, with an exhaust speed of 2.40 x 103 m/s. Find the acceleration (in m/s2) of the vehicle just as it lifted off the launch pad on the Earth, if the vehicle's initial mass was 3.00 x 106 kg. (Note: You must include the force of gravity to solve the problem.)