$18, P = $200, r = ?, t = 1.5 years. Find the annual interest rate.


I = $60, P = $750, r = 4%, t = ?. Find the amount of time. (sorry I added this one as well the other time I asked this no responded but you don't have to answer this if you want)

Answers

Answer 1

                                                  Question 1)

Given

Interest I = $18

Principle P = $200

t = 1.5 years

To determine

Interest rate r = ?

Using the formula

[tex]P = Irt[/tex]

[tex]r=\frac{I}{Pt}[/tex]

susbtituting I = 18, t = 1.5 and P = 200

[tex]r=\frac{18}{\left(200\times 1.5\right)}[/tex]

[tex]r = 0.06[/tex]

or

r = 6%       ∵ 0.06 × 100 = 6%

Therefore, we conclude that the interest rate required to  accumulate simple interest of $18.00  from a principal of $200 over 1.5 years is 6% per year.

                                                    Question 2)

Given

Interest I = $60

Principle P = $750

Interest rate = 4% = 0.04

To determine

Time period t = ?

Using the formula to calculate the time period

[tex]P = Irt[/tex]

[tex]t\:=\:\frac{P}{Ir}[/tex]

[tex]t=\frac{60}{\left(750\times 0.04\right)}[/tex]

[tex]t = 2[/tex] years

Therefore, the time required to  accumulate simple interest of $ 60.00

from a principal of $ 750 at an interest rate of 4% per year  is 2 years.


Related Questions


Drag the cards below to create an expression that is equal to
6/5 / * 5 6 pls help!!!

Answers

Answer:

6 divded by 5

Step-by-step explanation:

Ginger mows 3/4 acre in 7/4 hours. What is her unit rate of averse mowed per hour

Answers

1/3 good luck I hope it’s right

Plsssss help, i SUCK AT MATH :(

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Answer:

q>3<10

good luck :)

Pls help as fast as you can.

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I’m doing the exact same thing right now!!! Let me try to figure this

Answer: the 2nd one tan(- 5x/6)

Step-by-step explanation: because if you equal the numbers it will become a negative number i hope this helps :)

Sasha is becoming a stronger runner. Last year she ran five miles in 50 minutes. This year her timing improved by 20%. How long does it take her to run five miles?

Answers

Answer:

40 minutes

Step-by-step explanation:

Last year she ran five miles in 50 minutes

This year her timing improved by 20%. This means she runs 5 miles in 20% less time than last year

How long does it take her to run five miles?

= 50 minutes - 20% of 50 minutes

= 50 minutes - 20/100 * 50 minutes

= 50 minutes - 0.2 * 50 minutes

= 50 minutes - 10 minutes

= 40 minutes

This year, it takes her 40 minutes to run 5 miles

1.50 x 105
5.0 x 101
. ?

Answers

Answer:

225

505

Step-by-step explanation:

Answer:

157.5 and 505

Step-by-step explanation:

1.5 * 105

you can times both by 10 to get whole number

15*105 = 1575

add the decimal back

157.5

5 * 101 = 505

Kim ordered a few appetizers to share with friends. The total of her meal was
$29.53. She left $35 to cover the meal and the tip she left the waiter. What
percentage of the total is the tip?

Answers

Answer:

15%

Step-by-step explanation:

..

Help :((((((((((((((((

Answers

Answer:

k = 51

Step-by-step explanation:

You just have to substitute the variable into -7

k = -10t - 19

k = -10(-7) - 19

k = 70 - 19

k = 51

Donnie is considering two different DVD rental stores, both of which have a one-time membership fee and a fee per rented DVD.

The cost for renting DVDs at the first store is shown below:
Number of DVDs rented Cost ($)
1 5.50
2 7.00
3 8.50

The cost for renting DVDs at the second store is modeled by the linear function C = 5 + 2d, where d is the number of DVDs rented and C is the cost.

Compare the rates of change for each function and explain what this means in terms of the context.

Answers

Answer:

⇒Store i charges $4 for one-time membership fee and a fee of $1.50 per rented DVD

⇒Store ii charges $5 for one-time membership fee and a fee of $2 per rented DVD

⇒ Renting a DVD in shop {i} is cheaper than in shop {ii}

Step-by-step explanation:

In the first store, the equation for cost can be calculated as;

Find slope using the data set

Number of DVDs rented               Cost {$}

1                                                        5.50

2                                                        7.0

3                                                         8.50

m= Δy/Δx

m= 8.50 - 5.50 / 3-1

m= 3/2 = 1.5

Write the equation

m= Δy/Δx

1.5 = y-7/ x-2

1.5 { x-2 } = y-7

1.5 x - 3.0 = y-7

1.5x -3.0 + 7 = y

1.5 x + 4= y

C= 4 + 1.5 d  ------where d is the number of DVDs rented

Comparing the two equations that model the cost of renting DVDs

i) C= 4 + 1.5d

ii) C=5 + 2d

⇒Store i charges $4 for one-time membership fee and a fee of $1.50 per rented DVD

⇒Store ii charges $5 for one-time membership fee and a fee of $2 per rented DVD

For example 2 DVDs are rented in both store, you can find the store which is cheaper as;

i) C= 4 + 1.5d  = 4+ 1.5*2 = 4 + 3 = $7

ii) C=5 + 2d = 5 + 2 * 2 = 5 + 4 = $9

⇒ Renting a DVD in shop {i} is cheaper than in shop {ii}

   Renting a DVD from store (2) is costlier than renting from store (2).

Linear equation:  A linear equation represents the relation between two variables 'x' and 'y',

         y = mx + b

         Here, m = slope of the line

         b = y-intercept

For store (1),

Let the linear equation representing the cost for renting the DVDs is,

C = md + b

Here, m = slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

And 'd' = Number of DVDs

Let the two points lying on the line are (1, 5.5) and (2, 7),

So the slope will be,

[tex]m=\frac{7-5.5}{2-1}=1.5[/tex]

Equation of the line will be → C = 1.5d + b

Since, this line passes through a third point (3, 8.5),

Substitute the values in the equation of the line,

8.5 = 1.5(3)+ b

8.5 - 4.5 = b

b = 4

Hence, equation of the line for the cost of renting a DVD from store (1) will be,

C = 1.5d + 4 ---------(1)

For store (2),

Equation of the line has been given as,

C = 2d + 5 ------(2)

Equation (1) represents a fixed cost of $4 and $1.5 for renting each DVD.

Equation (2) represents a fixed cost of $5 and $2 for renting each DVD.

If Donnie rents a DVD from both the stores,

Cost for renting DVDs at store (1) → C = 1.5(1) + 4 = $5.5

Cost for renting one DVD at store (2) → C = 2(1) + 5 = $7

      Therefore, renting a DVD from store (2) is costlier than renting from store (2).

Learn more about the linear equations here,

https://brainly.com/question/4695400?referrer=searchResults

Will award if correct. Plz help

Answers

Answer:

f(x) = 4 · 4^x , f(x) = 4 · 2^x+2 , f(x) = 1/4 · 2^x+6

Step-by-step explanation:

Substitude x with a number.

Please give me Brainliest :)

How many solutions does this equation have?
6x + 2 = x + 2

Answers

Hey there! [tex]\bold{SUBTRACT\ x\ to\ BOTH\ SIDES}[/tex][tex]\bold{6x+2-x=x+2-x}[/tex][tex]\bold{Cancel \ out: x -x\ because\ it\ us\ 0}[/tex][tex]\bold{Keep: 6x-x\ because\ that\ helps\ solve\ for\ x}[/tex][tex]\bold{6x-x =5x}[/tex][tex]\bold{New\ equation: 5x+2=2}[/tex][tex]\bold{SUBTRACT\ 2\ to\ BOTH\ SIDES}[/tex][tex]\bold{5x+2-2=2-2}[/tex][tex]\bold{Cancel\ out: 2-2\ (on\ the\ LEFT\ SIDE)\ because\ that\ gives\ you\ 0 }[/tex][tex]\bold{Keep: 2-2\ (on\ the\ RIGHT\ SIDE)\ because\ it\ helps\ us\ solve\ for\ x}[/tex][tex]\bold{2-2=0}[/tex][tex]\bold{New\ equation: 5x=0}[/tex][tex]\bold{DIVIDE\ 5\ to\ BOTH\ SIDES}[/tex][tex]\bold{\dfrac{5x}{5}=\dfrac{0}{5}}[/tex][tex]\bold{Cancel\ out: \dfrac{5}{5} \ because\ it\ gives\ you\ 1}[/tex][tex]\bold{Keep: \dfrac{0}{5}\ because\ it\ helps\ solve\ for\ x}[/tex][tex]\bold{x=\dfrac{0}{5}}[/tex][tex]\boxed{\boxed{\bold{Answer: \boxed{\bold{x=0}} }}}\huge\checkmark[/tex]Good luck on your assignment and enjoy your day! ~[tex]\frak{LoveYourselfFirst:)}[/tex]

What year will it be when the comet appears for the 43rd time?
2236
2243
2229
2257

Answers

Answer:

Im guessing it 2236?

Step-by-step explanation:

What is the answer
5x2 + bx - 7 b=?

Answers

Answer:

The answer is 5x^2 + bx -7b

Step-by-step explanation:

The expression is not factorable with rational numbers.

Hoped this helped!

Solve the system of equations. 10y - 11x = -4 - 2y + 3x = 4​

Answers

Answer:

(4,4)

Step-by-step explanation:

The intersection point of 10y-11x=-4 and -2y+3x=4 is (4,4) on a graph.

As per linear equation, the solution of the given system of equations is x = 4, y = 4.

What is a linear equation?

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.

The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."

Given system of linear equation is:

10y - 11x = - 4 ......(1)

- 2y + 3x = 4​ ......(2)

Multiplying the equation (1) by 1 and Multiplying the equation (2) by 5 and then add both equations, we get:

   10y - 11x = - 4

+  (- 10y) + 15x = 20

-------------------------

    4x = 16

⇒ x = 4

Now, substituting the value of 'x' in the equation (2), we get:

- 2y + 3(4) = 4

⇒ - 2y + 12 = 4

⇒ - 2y = 4 - 12

⇒ - 2y = - 8

⇒ y = 4

Therefore, the solution of the given system of equations is x = 4, y = 4.

Learn more about a linear equation here: https://brainly.com/question/11897796

#SPJ2

Please help. 20 points! and brainliest!

Answers

Answer:

11: 14

12: 50

13: 25

Sorry if I’m incorrect, I tried my best

Step-by-step explanation:

Answer:

11. 14 students total

12. $2.00

13. 64 cows

Step-by-step explanation:

I think i got all of these right, I hope this helps you out a little bit

What is 32/50 reduced to lowest terms?

Answers

Answer:

32/50 reduced is 26/25.

Answer: 16/25

Step-by-step explanation:

- Factor 2 out of 32

- 2 (16)/50

-  16/25

Solve the system of equations. -12x-5y=40 and 12x-11y=88 x= y=

Answers

Answer:

(0,-8)

x=0

y=-8

Step-by-step explanation:

There are a couple of ways you can solve this I used what I think is called the elimination method

We first start by writing the equations in linear form (y=mx+b)

For the first one we have -12x-5y=40

we add 5y to both sides and subtract 40 to get

-12x-40=5y

divide by 5 to get

-12/5x-8=y

Then the second one we have

12x-11y=88

same deal here, add 11y and subtract 88 to get

12x-88=11y

divide by 11 and get

12/11x-8=y

We then set the two equations equal to each other and get

-12/5x-8=12/11x-8

We can add 8 to both sides and get

-12/5x=12/11x

Just by looking at it you can see that the only solution for x is 0

Plug in 0 to the first equation and get -12*0-5y=40

This means that -5y=40

Solve for y and get -8

Answer:

x=0 , y= -8

Step-by-step explanation:

Melodys family wants to go to Hawaii, which is a 3,700 mile airplane ride. Write the number of miles in scientific notation

Answers

Answer:

[tex]3.7*10^3[/tex]

Step-by-step explanation:

Step one:

given data

3,700 mile

In scienctific notation or in standard form  3,700 mile  is expressed as

[tex]3.7*10^3[/tex]

QUESTION 1
Calc
If the exchange rate is
£1 = $1.80
Work out the missing values
a) £520 = $.....
16.​

Answers

Answer:

$92.60

Step-by-step explanation:

Shelley reaches into a bag of candies and
chooses one without peeking. The bag holds
10 red, 21 orange, 12 green, and 9 yellow candies.

What is the probability that Shelley will select a green candy?

Answers

Answer:

12/52 or 23%

Step-by-step explanation:

take the total of all the candy and divide it by the number of green so there are 12 green and 52 over all so it would be 12/52

Answer:

3/13

Step-by-step explanation:

do the work for ur self

please help ASAP!! it’s for geometry

Answers

The answer is D.

Have a great day!

Express the relationship between x + 2 and -2x + 8 as a single equation​

Answers

Answer:

[tex]= -2x^2 +4x+ 16[/tex]

Step-by-step explanation:

From the given equation:

[tex](x+ 2 ) \ and \ (-2x +8)[/tex]

As a single equation, we have:

[tex]= (x + 2) \ \times \ ( -2x + 8) \ = 0[/tex]

open brackets

[tex]\implies -2x^2 +8x +(-4x) + 16[/tex]

[tex]= -2x^2 +4x+ 16[/tex]

HELP ME PLEASE POINTS WILL BE GIVEN JUST HELP ME PLEASE POINTS WILL BE GIVEN PLEASE JUST HELL

Answers

Answer:

I would say the answer is 5.03m^2

Step-by-step explanation:

Hope this helps! Please consider marking brainliest! I hope you have an amazing day. Always remember, your smart and you got this! -Alycia :)

Answer:

a

Step-by-step explanation:

Someone help me out lol

Answers

Answer:

(1)+49

(x+7)^2

(2) +16

(x+16)^2

(3) +25/4

(x+5/2)^2

Answer:

see explanation

Step-by-step explanation:

To complete the square

add ( half the coefficient of the x- term )²

x² + 14x

= x² + 2(7)x + 49

= (x + 7)²

----------------------------------------

x² - 8x

= x² + 2(- 4)x + 16

= (x - 4)²

-----------------------------------------

x² + 5x

= x² + 2([tex]\frac{5}{2}[/tex] )x + [tex]\frac{25}{4}[/tex]

= (x + [tex]\frac{5}{2}[/tex] )²

I don’t know how to do this:(

Answers

Answer:

me niether

Step-by-step explanation:

lol

The graph shows the relationship between time
and the number of soda bottles a machine can make use the points 4,180band (7,315) to find the number of soda bottles the machine can make each minute.

Answers

Answer:

45

Step-by-step explanation:

The points on the graph :

(4, 180) ; (7, 135)

x1 = 4 ; y1 = 180

x2 = 7 ; y2 = 315

The number of soda bottles the machine can make in a minute is the gradient or slope :

Gradient = change in y / change in x

Gradient = (y2 - y1) / (x2 - x1)

Gradient = (315 - 180) / (7 - 4)

Gradient = 135 / 3

Gradient = 45

Hence, the machine can make 45 soda bottles in a minute.

:(( !! CAN SOMONEE PLSS HELP ME WITH THIS ?? TYY!! :)

Answers

Answer:

The answer would be -10

Step-by-step explanation:

(-2)+2*(-2)-10

4-4-10

-10

What is not a multiple of 7

Answers

Answer:

34 is not a mulitple of 7

PLEASE HELP !!
Below is a list of locations that are close to Acrophobia.
.
Scorcher - 540.7 feet
• Dare Devil - 780.9 feet
• Goliath - 650.7 feet
• Splash Water Falls-630.9 feet
• Batman the Ride - 1280.17 feet
• Superman Ultimate Flight - 480.6 feet
• Six Flags Over Georgia Park Entrance - 1361.8 feet
• Gas Station - 2874.9 feet
• Nearby Neighborhood - 18764.8 feet
• Small Shopping Mall - 10763.8 feet
If you ride Acrophobia, which locations could you possibly see and at what angle(s)? Describe why you can't see
certain locations. Be sure to show all your work that justifies all your responses,

Answers

Answer:

ok what do you what me to do with it

Step-by-step explanation:

help pls !! Im awful with math and I already failed and this is a makeup test >-<​

Answers

Answer:

29.4 degrees

Step-by-step explanation:

a = 53 cm = opposite side to the angle

b = 94 cm = adjacent side to the angle [tex]\alpha[/tex]

tan = opp/adjacent = 53/94 = 0.5638

[tex]\alpha[/tex] = inverse tangent of .5638 = tan⁻¹ (.5638) = 29.4₋⁰

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