Suppose Tabitha finds an annuity that pays 7.0% annual interest, compounded semiannually. She decides to invest $650
semiannually in this annuity for 5 years. How much interest does she earn during the 5 years?
Round your answer to the nearest cent.
Do NOT round until you have calculated the final answer.

Answers

Answer 1

Answer:

Rounded to the nearest cent, over 5 years she will earn $ 916.89.

Step-by-step explanation:

Since Tabitha found an annuity that pays 7.0% annual interest, compounded semiannually, and she decided to invest $ 650 semiannually in this annuity for 5 years, to determine how much interest she will earn during the 5 years the following calculation must be performed:

650 x (1 + 0.07 / 2) ^ 5x2 = X

650 x (1 + 0.035) ^ 10 = X

650 x 1,035 ^ 10 = X

916,889 = X

Thus, rounded to the nearest cent, over 5 years she will earn $ 916.89.

Answer 2

Answer: 1125.41

Step-by-step explanation:

First, let’s find out how much is in the account after 5 years. We will use the savings annuity formula

A(t)=d((1+r/n)n⋅t−1)r/n

to find the value of A(5). We know that r=0.07, d=$650, n=2 compounding periods per year and, t=5 years. Substitute these values into the formula.

A(5)=$650 ((1+0.07/2)5⋅2−1)/(0.07/2)

Simplifying gives

A(5)=$650 ((1.035)10−1)/(0.035),

thus

A(5)=$7,625.41.

The sum of all deposits D5 is given by 5⋅2⋅$650=$6,500. Now, substitute these numbers into

A(5)=D5+I5

and solve for I5. This gives

$7,625.41=$6,500+I5,

yielding the total interest paid as $1,125.41. Enter 1125.41 as the answer.


Related Questions

tiffany spent 2 1/8 hours studying 1 3/8 hours talking on the phone 100 percent of an hour on chores and 1.75 hours walking which of the following lists her activities in order of greatest to least amount of time F. Chores, phone, walk, study G. Chores, study, walk, phone H. Study, phone, walk, chores J. Study, walk, phone, chores

Answers

Answer: J - Study. walk. phone, chores

Which statement is true?
4
O A. As the value of a positive number
increases, the absolute value of
the number decreases.
O B. As the value of a positive number
decreases, the absolute value of
the number increases.
O C. As the value of a negative number
increases, the absolute value of
the number decreases.
5
O D. As the value of a negative number
decreases, the absolute value of
the number decreases.

Answers

The answer is b it depends on the number

option D is true statement. that is the absolute value of the negative number will decreases with decreases in negative number.

What is Absolute value of a number?

Absolute value describes the distance from zero that a number is on the number line, without considering its direction that is the absolute value of a number is never negative.

In other words Absolute value is the modulus of any number.

A ) False :  the absolute value of the positive number will increase with increase in positive number.

B )  False :  the absolute value of the positive number will decreases with decreases in positive number.

C)   False :  the absolute value of the negative number will increase with increase in negative number.

D)  TRUE:  the absolute value of the negative number will decreases with decreases in negative number.

Therefore, option D is true.

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John, Paul, and Sonia all attend the same school, but are in different grades. John is in the 6th grade, Paul in 7th, and Sonia in 8th. John get homework 65% of the time, Paul get homework 80% of the time, and Sonia get homework 85% of the time. Factoring all three students into the probability, what is the probability that on any given day only John gets homework

Answers

Answer:

0.0195 = 1.95% probability that on any given day only John gets homework

Step-by-step explanation:

What is the probability that on any given day only John gets homework?

John has a 65% probability of getting homework.

Paul has a 100 - 80 = 20% probability of not getting homework.

Sonia has a 100 - 85 = 15% probability of not getting homework.

Since these events are independent, the probability is the multiplication.

0.65*0.2*0.15 = 0.0195

0.0195 = 1.95% probability that on any given day only John gets homework

1/2 ÷ 3 = 4 2/3 ÷ x. Solve the proportion​

Answers

Answer:

x=28

Step-by-step explanation:

i hope my answer is correct. it's been a while since i've done this.

Need help on em punett sqaures

Answers

Answer:

Black Fur: 100%    White Fur: 0%

Step-by-step explanation:

    B     B

b  Bb  Bb              (all dominant)

b  Bb  Bb

Black Fur: 100%  White Fur: 0%

Answer:

B B

______

b | Bb | Bb |

b | Bb | Bb |

_____

Phenotype Probability (%):

Black Fur: 100%

White Fur: 0%

_____________________

Aling Nora bought 15 kilos of beef worth 1,845. How much is a kilo oof beef?​

Answers

Answer:

1845/15=123

Step-by-step explanation:

Step-by-step explanation:

I don't now just paiattention to the problem that willed be more like it thx

help please, also explain

Answers

Firstly, It says that the two triangles are similar .              

The scale factor is 2 as 12 / 6 = 2

25 + 85 = 110

180 - 110 = 70.

70 degrees

Answer:

A: 70

Step-by-step explanation:

Step One: This problem is tricky because it makes it seem more difficult than it really is. Because these angles are similar through the SAS theorem, their angles are the same. Similar means they are proportional triangles, but for this problem, the most important thing to know is that the angles of both triangles are the same. This means we can use the angles from the first triangle exactly the same way for the second triangle.

Step Two: Now that we have that out of the way, we also need to know that all angles in a triangle add up to 180 degrees.

Step Three: Ok, so we have all the information we need, so now we can solve the problem. As I've said, the angles from the first triangle are the same for the angles in the second triangle. So, we would do 85+ 25= 110.

Step Four: Lastly, we would do 180 (since all angles add up to 180)-110 to figure out the missing angle: 180-110=70 degrees.

Here it is sry and thx!

Answers

Answer:

B

Step-by-step explanation:

hard to explain xD

Answer:

#2

Step-by-step explanation:

1x60+45=105

2x60+45=165

3x60+45=225

4x60+45=285

An air conditioning system can circulate 430 cubic feet of air per minute. How many cubic yards of air can it circulate per​ minute?

Answers

Divide the number of cubic feet that it can circulate by the number cubit feet per cubic yard. That gives the number of cubic yards that it can circulate. It can circulate about 10.37 cubic yards per minute.

The air conditioning system can be circulate in 15.92 cubic yards of air per minute.

Here,

An air conditioning system can circulate 430 cubic feet of air per minute.

We have to find the cubic yards of air which can be circulate in per minute.

What is the value of cubic yard in cubic feet?

1 cubic yard = [tex](3 ft)^3[/tex] = 27 cubic feet.

Now,

1 cubic yard = [tex](3 ft)^3[/tex] = 27 cubic feet.

Hence, Cubic yards of air circulate in per minute = 430/27 = 15.92

So, The air conditioning system can be circulate in 15.92 cubic yards of air per minute.

Learn more about the cubic feet visit:

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what is the radius of a sphere whose surface area is 100cm²?

Answers

Answer:

r≈2.82

Step-by-step explanation:

Hope this helps and have a great day!!!

Step-by-step explanation:

that can help you

Please help with this

Answers

it's the first answer choice

Step-by-step explanation:

If you add all the pieces of data up and divide the total number by 8 (the amount of pieces of data) you will get the mean. For median you just order them from least to greatest and find the one in the middle. Lastly, for mode you just choose the number that shows up the most.

Use the spinner to find the theoretical probability of the event. Write your answer as a fraction or a percent rounded to the nearest tenth.
The theoretical probability of spinning a 1 is


PLEASE HELP ME!!!

Answers

1/6 I really don’t know if it’s right

What is 37/40 in simplest form

Answers

Answer:

It is already explained in simplest form

Step-by-step explanation:

It can be written as 0.925 in decimal form (rounded to 6 decimal places).

Need answers plz would be appreciated

Answers

Answer:

1) x=5

2) x=7

3) x=8

4) x=4

5) x=7

6) x=8

Step-by-step explanation:

Since each pair is similar, their sides are in ratio:

1)

(2x+2)/6=18/9

2x+2=2*6

2x=12-2

x=10/2

x=5

2)

(x-2)/4=10/8

x-2=1.25*4

x=5+2

x=7

3)

(3x-6)/12=24/16

3x-6=1.5*12

3x=18+6

x=24/3

x=8

4)

(2x+4)/15=16/20

2x+4=0.8*15

2x=12-4

x=8/2

x=4

5)

(x+2)/15=6/10

x+2=0.6*15

x=9-2

x=7

6)

(-3+x)/6=10/12

-3+x=6*(10/12)

x=5+3

x=8

I think it will be b but I don’t know

Answers

Answer:

yeah it is b

acute and scalene

Step-by-step explanation:

scalene means none of the sides equal

and also all sides are acute angles

Answer:

yep you are correct it would be answer b

Step-by-step explanation:

hope this helped you

For an F distribution, find the following:

(a) f 0.25,825
(b) f 0.10,12,15
(c) f 0.01,12,6

Answers

Answer:

1.39 ; 2.02 ; 2.90

Step-by-step explanation:

From the F - distribution calculator

F0.25, 8, 2 ;

u = 8 ; v = 25 ; cumulative probability = 1 - 0.25 = 0.75

F value = 1.39

F0.10,12,15 :

u = 12 ; v = 15 ; cumulative probability = 1 - 0.10 = 0.90

F value = 2.02

F0.01,12,6

u = 12 ; v = 6 ; cumulative probability = 1 - 0.01 = 0.90

F value = 2.90

find the least common factor of 4,5,6 no links or photo or I will report you​

Answers

Answer:

60

Explanation:

The new superset list is

2, 2, 3, 5

Multiply these factors together to find the LCM.

LCM = 2 x 2 x 3 x 5 = 60

In exponential form:

LCM = 22 x 31 x 51 = 60

LCM = 60

Therefore,

LCM(4, 5, 6) = 60

geometry math plz help

Answers

Answer:

1. mCD is equal to 84 degrees.

2. I believe that RPT would be equal to approximately 51 feet. I think I am right, but I am not 100% sure. I used formula though.

Step-by-step explanation:

1. In order to find the measure of CD, you would find the measure of AD and CD, because they add to 180, and from there you can take the answer, which will be the x value, and plug it back into measure CD's equation.

1. Add the equations of mAD and mCD and set them equal to 180, because together on the graph they add to 180 degrees, which is a semi-circle.  

19x-49+5x+37=180

24x-12=180

2. Solve.

24x-12=180

24x=168

x=7

3. Plug x back into mCD and find the answer!

19(7)-49=84

mCD= 84 degrees!

2. Arc Length Formula

2[tex]\pi[/tex]r degrees/360

2pi (14) 208/360≈51

Nigel has 1 cups of butter in his refrigerator. He wants to make cookies and cupcakes. The equation y = 0.5x represents the amount of
butter, in cups, y needed per dozen cookies, X. The table below shows the number of cups of butter needed based on the number of
cupcakes made

Answers

Wheres the table?? You said “the table below” and what are you asking for? I can always answer in the comments section

Answer:

37

Step-by-step explanation:

11 feet
Find the area of the square.
A = ft2

Answers

Answer:

area of square = side²

area of square=(11 feet)²

area of square=121 feet²

the volume of a sphere is increasing at a rate of 7 cm^3/s. Find teh rate of change when volume is 4pi/3

Answers

The question is incomplete. The complete question is :

The volume of a sphere is increasing at a rate of 7 cm^3/sec. Find the rate of change of its surface area when its volume is 4 pi / 3 cm^3. (Do not round your answer.)

Solution :

Volume of the sphere, [tex]$V=\frac{4}{3} \pi r^3$[/tex]

Given that [tex]$\frac{dV}{dt}= 7 \ cm^3/s $[/tex]

V = [tex]$\frac{4 \pi}{3} = \frac{4 \pi r^3}{3}$[/tex]

∴ r = 1

[tex]$\frac{dV}{dt} =\frac{4}{3} \pi .3.r^2 \ \frac{dr}{dt}$[/tex]

[tex]$7 = \frac{4}{3} ( \pi )(3) (1)^2 \frac{dr}{dt}$[/tex]

[tex]$\frac{dr}{dt}=\frac{7}{4 \pi}$[/tex]   cm/s

Surface area, [tex]$A = 4 \pi r^2$[/tex]

    [tex]$\frac{dA}{dt} = 8 \pi r \ \frac{dr}{dt}$[/tex]

[tex]$\frac{dA}{dt} = 8 \pi \times \frac{7}{4 \pi} \times 1$[/tex]

    [tex]$=14 \ cm^2/s $[/tex]

f(x)=-2x² + 3x-6, find f (3)

Answers

Answer:

f(3) = -15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

f(x) = -2x² + 3x - 6

f(3) is x = 3 for the function f(x)

Step 2: Evaluate

Substitute in x [Function]:                                                                                f(3) = -2(3)² + 3(3) - 6Exponents:                                                                                                        f(3) = -2(9) + 3(3) - 6Multiply:                                                                                                             f(3) = -18 + 9 - 6Add:                                                                                                                   f(3) = -9 - 6Subtract:                                                                                                            f(3) = -15

Answer:

f(3) = -15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Left to Right

Algebra I

Functions

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = -2x² + 3x - 6

f(3) is x = 3 for the function f(x)

Step 2: Evaluate

Substitute in x [Function]:                                                                                f(3) = -2(3)² + 3(3) - 6

Exponents:                                                                                                        f(3) = -2(9) + 3(3) - 6

Multiply:                                                                                                             f(3) = -18 + 9 - 6

Add:                                                                                                                   f(3) = -9 - 6

Subtract:                                                                                                            f(3) = -15

1.give the sequence 8.5.2.-1,...at what term will the number become -25? A.11th term B.10th term C.12th term D.20th term 2.which of the following is an algebraic esprression? A.3+5 B.n-1-14 C.3+5=8 D.x=53 3.what is the sum of the first 5 even numbers? A.30 B.20 C.10 D.50

Answers

Answer: 1. C(12) 2. B(n-1-14) 3. A(30)

Step-by-step explanation: For number one the nth term with common difference d and first term a is a+(n-1)d=nth term, plug in the values you have and solve for n to get 12. For number 2 an algebraic expression has a variable and a constant but doesn't have an equal sign. So it is B. For number three just add them up. Hope this helped!  

PLEASE HELP NO SCAM LINK OR REPORTED :) THANKS

Answers

Answer: b

Step-by-step explanation:

2x is x doubled

and then add 5 to the product

Pls help i'm lost il give brainly

Answers

Answer:

a= 16

b= -8

c= 6

d= -16

e= -4

Step-by-step explanation:

Answer:

Step-by-step explanation:

A= 16 degrees

B= -8 degrees

C= 6 degrees

D= -16 degrees

E= -4 degrees

Look at the image for the question:

Answers

9514 1404 393

Answer:

  te, tm, (m-e), t

Step-by-step explanation:

The problem statement tells you how to interpret the expressions and their parts.

Swap the top two expressions on the right and the list will be in the appropriate order:

tetmm-et

Last year, Manual opened an investment account with $5400. At the end of the year, the amount in the account had increased by 28.5%. How much is this increase in dollars? How much money was in his account at the end of last year?​

Answers

See below hope it helps

Answer:

Increase in dollars = $1,539

Balance in the account at the end of the year = $6,939

Step by step explanation:

5400*.285=$1539

So increase in dollars is $1,539


That is the money growth. Now add to initial balance to find the account total after the end of the year

5400+1539=$6,939

Money in the account at the end of the year $6,939

Find the range of the data. 26, 21, 27, 33, 24, 29

Answers

Answer:

33-21=9

Step-by-step explanation:

A dealer buys articles for R7500 and makes the price 30% higher.
What is the selling price of the articles?​

Answers

Answer:

9750

Step-by-step explanation:

profit amount = 30% of R 7500

= 30/100 *R 7500

= 2250

now

sp = R 7500 + R 2250

= R 9750

HELP ME PLEASE SOME ONE!

Answers

Answer:

240 inches cubed

I see you have 4 mins left

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