1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Gennadij [26K]
3 years ago
13

Item 10 Find the amount of time. I=$450, P=$2400, r=7.5%

Mathematics
1 answer:
Alex787 [66]3 years ago
7 0
The answer is:  "2.5 years" . 
___________________________________________________
  Note:   I = P * r * t  ;    { " Interest = Principal * rate * time "} ; 

          →     Solve for "t" {"time", in years} ;  

Divide each side of the equation by "{P * r}"  ;  
   to isolate "t" on one side of the equation ;

→  I / (P * r)  = {P * r * t) / (P * r} ; 

to get:  " I / (P * r) = t " ;  

  ↔  t = I / (P * r) ; 

Given:  I = $450 ;  
  
            <span>P = $2400 ; 

            r = 7.5% = 7.5/100 = 0.075 ; 

Plug in these values into the formula to solve for the time, "t" :

        </span>→  t  =  I  /  (P  *  r )   ;  

                 =  $450  /   (<span>$2400 * 0.075) ;

                 =  </span>$450  /   ($2400 * 0.075) ;

                 =  $450 / $180 ; 

                 =  $45 / $18 ; 

                 =  ($45 ÷ 9) / ($18 ÷ 9) 

                 =  $5 / $2 ; 

                 =  2.5  ; 

        →  t  =  2.5 years.
_______________________________________________________
The answer is:  "2.5 years" . 
_______________________________________________________
You might be interested in
WILL MARK BRAINLIEST <br> What is the value of j?
LenKa [72]
I physically cannot tell you
4 0
2 years ago
Read 2 more answers
A scatter plot showed a positive correlation for 11 bowlers. As the number of strikes, s, a bowler made in a game increased, the
almond37 [142]

Answer:

s = 4

Step-by-step explanation:

The equation for the line of best fit for the data is p=25s+40.

Where p is no. of points and s is no. fo strikes

We need to find the number of strikes made by a bowler with 140 points.

Put p = 140

p=25s+40

140 = 25s+40

Subtract 40 to both sides,

140-40 = 25s+40-40

100 = 25s

⇒ s = 4

So, there are 4 strikes made by a bowler with 140 points.

5 0
2 years ago
The perimeter of a rectangular baking sheet is 58 inches and its area is 201.25 in.2. What are the length and width of the bakin
anzhelika [568]

Answer:

Length=17.5\ in\\\\Width=11.5\ in

Step-by-step explanation:

The formula for calculate the Area of a rectangle is:

A=lw

Where "l" is the lenght and "w" is the width.

And the formula for calculate the peimeter of a rectangle is:

P=2l+2w

Where "l" is the lenght and "w" is the width.

We know that the perimeter of the rectangular baking sheet is 58 inches and its area is 201.25 in². Then:

A=201.25\ in^2\\\\P=58\ in

<u>The steps are:</u>

1. Solve for the "l" from the formula A=lw:

A=lw\\\\l=\frac{A}{w}\\\\\l=\frac{201.25}{w}

2. Substitute l=\frac{201.25}{w} into the formula P=2l+2w and solve for "w":

58=2(\frac{201.25}{w})+2w\\\\58=\frac{402.5}{w}+2w\\\\58=\frac{402.5+2w^2}{w}\\\\58w=402.5+2w^2\\\\2w^2-58w+402.5=0

Applying the Quadratic formula x=\frac{-b\±\sqrt{b^2-4ac}}{2a}, we get:

x=w=\frac{-(-58)\±\sqrt{(-58)^2-4(2)(402.5)}}{2(2)}\\\\w_1=17.5\\\\w_2=11.5

3.  Substitute w_1=17.5 into l=\frac{201.25}{w}:

l=\frac{201.25}{17.5}=11.5

4. Substitute w_2=11.5 into l=\frac{201.25}{w}:

l=\frac{201.25}{11.5}=17.5

Therefore, since the value of the lenght of a rectangle must be greater that the value of the width, we can conclude that the lenght and the width of the rectangular baking sheet are:

l=17.5\ in\\\\w=11.5\ in

8 0
3 years ago
Plssssss help me pls no fake answers and pls no links and pls answer both questions
lozanna [386]

false for 4.

ture for the 1st one

brianliest me

4 0
2 years ago
Read 2 more answers
Help me for all these
ad-work [718]
1.) 3+2=?  ?=5 brothers             2.) 54+9=?  ?=63 students              3.) 15-9=?  ?=4

4.) 60-20=?  ?=40 children        5.) 50-15=?  ?=35 trees          6.) 14+4=?  ?=18 times


Don't know why you needed help with this but ok.
5 0
3 years ago
Other questions:
  • In a game, William and Mary take turns choosing cards at random from a bag. Each card shows a “W” or “M”. A player chooses a car
    8·1 answer
  • What is the cube root of 27a^12
    8·1 answer
  • The bird house and your friends yard cast a shadow that is 14 feet long your friend is 5 feet tall and Casts a shadow that's 3.5
    9·2 answers
  • ___is a variable that provides the input value of an equation
    8·1 answer
  • The area of a circle is 28.26 square centimeters. What is the circle’s diameter?
    10·1 answer
  • What is the measure of ∠x?
    6·2 answers
  • What is the value of the 7 in the number 53.75?<br> Give your answer as a fraction.
    6·2 answers
  • Plss help get this right so I can get a good grades plsss
    14·2 answers
  • In the isosceles trapezoid ABCD, find m
    6·1 answer
  • I) find, in terms of π, the curved surface area of a cone with circular base diameter 10cm and height 12cm.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!