12.
If $4204 is invested at 4% per year simple interest for 7 years, at what simple interest rate r would it need to be
invested for 5 years to earn the same amount of interest? Express r as a percentage correct to 2 decimal places.

Answers

Answer 1

The answer to this question is in the picture which is 0.56% to 2dp

12.If $4204 Is Invested At 4% Per Year Simple Interest For 7 Years, At What Simple Interest Rate R Would
Answer 2

Answer:

5.60%

Step-by-step explanation:

We can use the formula for simple interest to solve this problem. The formula is:

[tex]\boxed{\bold{SI =\frac{ P * T* R}{100}}}[/tex]

Where:

SI is the simple interest earnedP is the principal amount investedR is the interest rateT is the time period in years

If $4204 is invested at 4% per year simple interest for 7 years, the interest earned will be:

[tex]SI = \frac{4204 *4* 7}{100} = 1177.12[/tex]

In order to earn the same amount of interest of $1177.12, the investment of $4204 must be invested for 5 years at a simple interest rate of:

[tex]1177.12=\frac{4204*5*r}{100}[/tex]

Doing Criss cross multiplication

[tex]r=\frac{1177.12*100}{4204*5}[/tex]

r=5.60 %

To two decimal places, the interest rate r is 5.60 %.


Related Questions

For some particular website, the password must start
with the letter X. Then there must be 4 more charters, and each of those characters may be a
numeric digit or a letter of the alphabet. How many different passwords are possible?

Answers

Answer:

Step-by-step explanation:

I take it you are not allowed to mix cases. There are 26 lower case letters (a b c d e f...) to the alphabet and 0 to 9 (which is 1 of 10 choices). The total number of starting choices is

x 36 * 35*34 * 33  = 1413720 possible passwords.

What is the slope of a line parallel to the line with equation 5x−2y=11?


−112

−52

−25

52

Answers

Answer: 52

Step-by-step explanation: Using the slope-intercept form, the slope is 52 . All lines that are parallel to y=5x2−112 y = 5 x 2 - 11 2 have the same slope of 52 .

Suppose that at some future time every telephone in the
world is assigned a number that contains a country code
1 to 3 digits long, that is, of the form X, XX, or XXX,
followed by a 10-digit telephone number of the form
NXX-NXX-XXXX (as described in Example 8). How
many different telephone numbers would be available
worldwide under this numbering plan?

Answers

Using the Fundamental Counting Theorem, it is found that [tex]1.11 \times 10^{13}[/tex] different telephone numbers would be avaiable worldwide.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem:

For the code, considering that for each digit there are 10 possible outcomes, the number of options is [tex]n_1 = 10 + 10^2 + 10^3 = 1110 = 1.11 \times 10^3[/tex].For the number, there are 10 digits, each with 10 options, hence the number of options is [tex]n_2 = 10^{10}[/tex].

Hence, the number of different telephone numbers that would be avaiable is given by:

[tex]N = n_1n_2 = 1.11 \times 10^3 \times 10^{10} = 1.11 \times 10^{13}[/tex]

[tex]1.11 \times 10^{13}[/tex] different telephone numbers would be avaiable worldwide.

More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866

The diagnoal of a tv is 26 inches long . assuming that this diagonal forms a pair of 30 -60 - 90 right triangles , what are the exact length and width of the tv?

Answers


Answer: 13 inches by 13-√3 inches

Let

x-------> the length side of the TV

y-------> the width of the TV

d------> the diagonal of a TV

we know that

in a 30-60-90 right triangle
cos (30°) = √³/2

sin (30°) =1/2

d = 26 in

sin (30°) = ----> y = d * sin(30°)

cos (30°) = ----> x = d * cos (30°)

substitute the values

y = 26* = 13 in

x = 26³ = 13√√3 in

the length side of the TV is 13√3 in the width of the TV is 13 in

Answer: 13 inches by 13-√3 inches

I hope this helps! :)

MAX POINTS help me

The amplitude of this graph is 3 the maximum is 4 the minimum is -2 the period is 4 and the midline is 1 how would the function be written?

Answers

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

The required equation is :

[tex]\qquad \sf  \dashrightarrow \:a \sin(bx) + c[/tex]

Now, let's find the required values :

period (p) = 4

[distance between any successive Crest or trough]

a = - 3 (flipped)

b = 2π/p = 2π/4 = π/2

k = 1

Distance of starting position from origin = k

Now, plug in the values ~

[tex]\qquad \sf  \dashrightarrow \: - 3 \sin( \frac{ \pi}{2}x ) + 1[/tex]

General equation:-

Asin(bx)+c

So

Amplitude=A=-3

Min=-2 ,max=4

Hence

b=|(mn)|π/mxb=|-2|π/4b=2π/4b=π/2

midline =c=1

So plugin the values

y=-3sin(π/2x)+1

Which expression is equivalent to (x – 4)(2x2 – 3x + 7)?
A. -4x(2x2 – 3x + 7)
B. x(2x2 – 3x + 7) - 4
C. x(2x2 – 3x + 7) + 4(2x2 – 3x + 7)
D. x(2x2 – 3x + 7) - 4(2x2 – 3x + 7)

Answers

Answer:

A:

-4x(2x2 – 3x + 7)

Step-by-step explanation:

If F(x) and f-1(x) are inverse functions of each other and f(x) = 2x+5, what is f-1( 8) ?


O -1
O 3/2
O 41/8
O23

Answers

Answer:

the answer is 3/2........


Write an equation in standard form of the hyperbola described.
Vertex (10, 0); focus (-26, 0); center (0,0)

Answers

Check the picture below, so the hyperbola looks more or less like the one below, let's find the conjugate axis or namely the "b" component.

[tex]\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{cases} h=0\\ k=0\\ a=10\\ c=26 \end{cases}\implies \cfrac{(x-0)^2}{10^2}-\cfrac{(y-0)^2}{b^2} \\\\\\ c^2=a^2+b^2\implies 26^2=10^2+b^2\implies 676=100+b^2\implies \underline{576=b^2} \\\\\\ \cfrac{(x-0)^2}{10^2}-\cfrac{(y-0)^2}{576}\implies \boxed{\cfrac{x^2}{100}-\cfrac{y^2}{576}}[/tex]

The difference between two positive integers is2. If the smaller is added to the square of the larger the sum is 40. Find the integers

Answers

Answer:

4 and 6

Step-by-step explanation:

first you must write your let statements

let x = smaller integer

let y = bigger integer

y - x = 2

x + y^2 = 40

then you use substition to find your anaswer

x = y - 2

y - 2 + y^2 = 40

y^2 + y - 42 = 0

then find the numbers that add up to 1 and multiply to -42

-6 and 7

y^2 + 7y - 6y - 42

y(y + 7) - 6(y + 7)

(y - 6)(y + 7)

set both sides equal to 0

y = 6, -7

y must be positive so it is 6

then plug y into one of the equations to get your answer

6 - x = 2

x = 4

your answer is 4 and 6

solve for x !
[tex]x {}^{2} - 36 = 0[/tex]

thankyou ~​

Answers

Answer:

X = 6. Give brainliest

Step-by-step explanation:

Solution:

x² - 36 = 0

or x² = 36

or x² = 6²

Therefore, the value of x is 6.

Answer:

x^2-36=0

x^2-36+36=0+36

x^2=36

x=√(36),x=-√(36)

√(36) → 6

-√(36) → -6

x=6,x=-6

If the discriminant of a quadratic equation is equal to Negative 8, which statement describes the roots?

Answers

Answer:

There are two complex roots

Step-by-step explanation:

Answer:

A. There are two complex roots

Step-by-step explanation:

got it right on edg.2022 <3

A quadratic equation is shown below. x^2 – 16x + 50 = 0 Which of the following is an equivalent form of the above equation? (x - 1612 114 (x - 5)2 = 14 (x - 82 = 114 o O (r = 16)2 = 14​

Answers

Answer:

Step-by-step explanation:

( a ± b )² = a² ± 2ab + b²

~~~~~~~~~

x² - 16x + 50 = 0

( x² - 2(x)(8) + 64 ) - 64 + 50 = 0

( x - 8 )² - 14 = 0

( x - 8 )² = 14

Answer:

(x-8)^2=14

:)

Step-by-step explanation:

In the scale drawing below

Answers

Answer:

47.5m

Step-by-step explanation:

convert cm to metres 1.9cm×5=9.5m

Then times the side lengths with the amount of sides 9.5m×5=47.5m

In an experiment, the probability that event A occurs is 7/8, the probability that event B occurs is 7/9, and the probability that events A and B both occur is ¾ . What is the probability that A occurs given that B occurs?

Question 5 options:

0.829


0.125


0.762


0.964

Answers

Answer:

Here is answer

Step-by-step explanation:

sorry if it is wrong

I think 0.762 in the answer

Find the slope of the line passing through the points (7, -3) and (3, -7)

Answers

Answer

The slope is (2,4) and (1,2)

Step-by-step explanation:

The slope is (2,4) and (1,2) I think


d. Henrietta Hardworker normally earns $8.50 per hour in a given 40-hour work-
week. If she works overtime, she earns time and a half pay per hour. During the
month of October, she worked 40 hours, 50 hours, 45 hours, and 42 hours for the
four weeks. How much did she earn fotal for October?

Answers

Answer:

1432.25

Step-by-step explanation:

8.50 x 40 = 340

340 x  4 = 1360

half of 8.50 is 4.25

4.25 x 10 = 42.5

4.25 x 5 = 21.25

4.25 x 2 = 8.5

add

1360 + 42.5 + 21.25 + 8.5  = 1432.25

i hope i did my math right, good luck mate

Find the area of the parallelogram. of 6 m 10 m

Answers

Answer:

60m

Step-by-step explanation:

The formula for the area of a parallelogram is base x height.

b x h

6m x 10m = 60m

What is 594 minus 236?

Answers

Answer:

358

Step-by-step explanation:

the answer is 358 because

The amplitude of this graph is 3 the maximum is 4 the minimum is -2 the period is 4 and the midline is 1 how would the function be written is all I haven’t figured out

Answers

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

The required equation is :

[tex] \qquad \sf  \dashrightarrow \:y = a \sin(bx) + k[/tex]

Now, let's find the required values :

period (p) = 4

[distance between any successive Crest or trough]

a = - 3 (flipped)

b = 2π/p = 2π/4 = π/2

k = 1

Distance of starting position from origin = k

Now, plug in the values ~

[tex]\qquad \sf  \dashrightarrow \: - 3 \sin( \frac{ \pi}{2}x ) + 1[/tex]

julia help the teacher clean the tables in the classroom she notices that 1/4 of the tables are blue and 3/4 of the table are red. there are 8 tables in all how many are red?

Answers

The fraction illustrates that there are 6 red tables.

How to calculate the fraction?

Fron the information, Julia helps the teacher clean the tables in the classroom she notices that 1/4 of the tables are blue and 3/4 of the table are red.

Therefore, the numbers that are red will be:

= Fraction of red × Total number

= 3/4 × 8

= 6

Therefore there are 6 red tables.

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

how do i solve this?

Answers

Answer:

33

Step-by-step explanation:

to solve for each triangle remember its 1/2 base times height you have four of those so add those four sides to the area of the square.

key concept: 1/2(Base*Height)

Hello I need a little here with this

Answers

I may be wrong but I believe that <1=<2

Help picture below problem 16

Answers

Answer:

c²=a²+b². 13²=12²+b² 169=144+b². b² =√25=5

Step-by-step explanation:

13² = ?² + 12²

169 - 144 = ?²

√25 = ?

5 yards = ?

How many ounces are in 4 pounds?

4 ounces
56 ounces
64 ounces
72 ounces

Answers

Answer:

64

Step-by-step explanation:

16 ounces per pound

16 x 4

The answer would be C. 64

what is difntion of tautology?

Answers

a phrase or expression in which the same thing is said twice in different words.

I need some help on these 3 questions :)

Answers

The factor of the polynomial, the area of the pool and the simplified expression are all algebraic expressions

How to simplify the expressions?

Factor of the polynomial

The polynomial is given as:

2x^3 + 6x^2 + 6x + 18

Factor out 2

2x^3 + 6x^2 + 6x + 18 = 2(x^3 + 3x^2 + 3x + 9)

Factorize

2x^3 + 6x^2 + 6x + 18 = 2(x^2(x + 3) + 3(x + 3))

Factor out x + 3

2x^3 + 6x^2 + 6x + 18 = 2(x^2 + 3)(x + 3)

Expand

2x^3 + 6x^2 + 6x + 18 = (2x^2 + 6)(x + 3)

Hence, 2x^2 + 6 is a factor of the polynomial 2x^3 + 6x^2 + 6x + 18

The length of the pool

The given parameters are:

Area = 2x^3 - 29x + 12

Width = x + 4

The length is calculated as:

Length = Area/Width

This gives

Length = 2x^2 - 29x + 12/x + 4

Factorize the numerator

Length = (2x^2 - 8x + 3)(x + 4)/x + 4

Cancel out x + 4

Length = 2x^2 - 8x + 3

Hence, the length of the pool is 2x^2 - 8x + 3

Simplify the expression

The expression is given as:

(3s^2 - 2s + 1) [tex]\div[/tex] (s^2 - s + 2)

Evaluate the quotient

3 + (s - 5)/(s^2 - 5 + 2)

Hence, the simplified expression is 3 + (s - 5)/(s^2 - 5 + 2)

Read more about algebraic expressions at:

https://brainly.com/question/2164351

A recipe called for using 5 1/8 cups of flour before baking and another 8 7/9 cups after baking. What is the total amount of flour needed in the recipe?​

Answers

Answer: 13 [tex]\frac{65}{72}[/tex]

Step-by-step explanation:

    This question is asking us to find the total flour used, so we will add the two amounts together.

5 1/8 + 8 7/9

-

5 + 8 = 13

1/8 + 7/9 = 9/72 + 56/72 = 65/72

-

13 + 65/72 = 13 [tex]\frac{65}{72}[/tex]

        The recipe calls for 13 [tex]\frac{65}{72}[/tex] cups of flour.

A store pays 6% commission on the first $500 in sales and 8% on sales over $500 find the commission on an $800 sale

Answers

Answer:

Step-by-step explanation:

Multiplying the sales amount of 500$ and the commision rate of 6% results to

500(0.06)
=30.

Use the distributive property to write an expression that is equivalent to the expression below. 5(2x+7)

Answers

Answer:

[tex]10x+35[/tex]

Solution:Use the distributive property to simplify.The distributive property states the following:x(y+z)=xy+xz (x times y plus x times z)Now, simplify:[tex]5(2x+7)[/tex][tex]10x+35[/tex]I multiplied 5 times 2x and 5 times 35.Is [tex]10x+35[/tex] the final answer? Yes, we cannot simplify it anymore, because 10x and 35 are not like terms.

Hope it helps.

Do comment if you have any query.

A battery for an underwater drone is in the shape of a square prism is designed to draw in
searates that is then used to produce energy. The base of the battery has soe lengths of 15 centimeters and the heght of the
bertery is 10 centimeters. Find the volume of the battery.

Answers

Answer:

2250 cm^3

Step-by-step explanation:

Volume of sq prism - Base x Base x Height

15 x 15 x 10 = 2250

Other Questions
The radius of a circle is 5.9 centimeters. Enter the area of the circle, in square centimeters. Round your answer to the nearest hundredth. What state of matter has the most kinetic energy? A gas B liquid C solid Round 716.51 to the nearest hundredthA. 716B. 717C. 716.51D. 716.515Thank you to everyone thats helping me! A triangular garden has it sides 45m,40m and 50m . Then, find the cost of fencing it's boundary at the rate of Rs.60 per meter. Norah, a 93-year-old patient, is awake one evening while Jake, a nursing assistant, is cleaning her bedroom. What is most likely a good way that the nursing assistant can show compassion and build trust with his patient?A) He can teach Norah how to avoid making her room messy.B) He can ask Norah about the family members in photos on her desk.C) He can tell Norah about the best movies that are in theaters during the week.D) He can inform Norah of why it is important to stay on a certain sleep schedule. Find the slope and yintercept of the line in the graph. Express the answers as simplified fractions, if necessary.The slope is m = The yintercept is b = What factors do you think contributed to the reform movements of the 1800s Which human activity negativetly affects the stabiltiy of the environment?A. Recycling paper B. riding bicycles C. Cutting down all treesD. Planting A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day? Name two sides that appear to be intersecting, but not perpendicular Antigone tells her sister, "tis thine to show / if thou art worthy of thy blood or base." the word or tells you that base is being contrasted with worthy of thy blood. given that, what do you suppose base means? write your ideas here. .2. Which 3 items describe the SOCIAL impact of WWII and Texas?Impacts of WWII and Texas: Congress passed a national draft lawFarmers grew lots of crops to feed the troops People were required to ration their food and supplies 500,000 Texans--Anglos, African Americans, and Hispanics-moved from ruralareas to job markets in nearby citiesThe federal government created lots of military bases Shoppers had to bring stamp books to buy items.Women went to work to help the war effort ("Rosie the Riveter" Big cities in Texas saw lots of growthThe federal government created the "WASPS" (women pilots) Wartime industries grew in TexasFamilies planted victory gardensMexican Americans that fought were determined to seek equality...A 10.If Zoe paints the outside faces ofher shed and tho roof. what is thetotal surface area that she paints?CAA. 130 p2B. 155 p2C. 180 02D. 205 pp Who is the protagonist of La Peste by Albert Camus? A comparison between species: Biologists wish to compare the prevalence of a genetic mutation acrosstwo species of Neema Toads. In a sample of 9 Neema Toads of Species I, 0.6% had the mutation while in asample of 12 Neema Toads of Species II, 1% showed the mutation. Is there significant evidence to suggest adifference in the prevalence of the mutation across the two species? Conduct a hypothesis test at asignificance level of a = 0.01. what is the purpose of truth? Please help. I need to get to 70% Brainliest given to best answer.. What happens when a base dissolves? Part 1 , i really need help if anyone have the items for these please help