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
barxatty [35]
3 years ago
13

Arturo has $120. Max has $90. In how many years will they both have the same amount of money if Arturo saves $90 per year and Ma

x saves $100? 
 
Arturo
$120
$210
$300
$390
Max
$90
$190
$290
$390
Year
0
1
2
3
 

Here is a problem that can also be solved by making a table. 

Amira has $80. Sasha has $40. 
 
In how many months will they both have the same amount of money if Amira saves $40 per month and Sasha saves $50? 
Mathematics
1 answer:
sashaice [31]3 years ago
8 0
1. Four Months until they have the same amount of money. ($390)

2.  Five months until they have the same amount of money. ($240)
You might be interested in
Given that cot θ = 1/√5, what is the value of (sec²θ - cosec²θ)/(sec²θ + cosec²θ) ?
Bogdan [553]

Step-by-step explanation:

\mathsf{Given :\;\dfrac{{sec}^2\theta - co{sec}^2\theta}{{sec}^2\theta + co{sec}^2\theta}}

\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{{sec}\theta = \dfrac{1}{cos\theta}}}}

\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{co{sec}\theta = \dfrac{1}{sin\theta}}}}

\mathsf{\implies \dfrac{\dfrac{1}{cos^2\theta} - \dfrac{1}{sin^2\theta}}{\dfrac{1}{cos^2\theta} + \dfrac{1}{sin^2\theta}}}

\mathsf{\implies \dfrac{\dfrac{sin^2\theta - cos^2\theta}{sin^2\theta.cos^2\theta}}{\dfrac{sin^2\theta + cos^2\theta}{sin^2\theta.cos^2\theta}}}

\mathsf{\implies \dfrac{sin^2\theta - cos^2\theta}{sin^2\theta + cos^2\theta}}

Taking sin²θ common in both numerator & denominator, We get :

\mathsf{\implies \dfrac{sin^2\theta\left(1 - \dfrac{cos^2\theta}{sin^2\theta}\right)}{sin^2\theta\left(1 + \dfrac{cos^2\theta}{sin^2\theta}\right)}}

\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{cot\theta = \dfrac{cos\theta}{sin\theta}}}}

\mathsf{\implies \dfrac{1 -cot^2\theta}{1 + cot^2\theta}}

\mathsf{Given :\;cot\theta = \dfrac{1}{\sqrt{5}}}

\mathsf{\implies \dfrac{1 - \left(\dfrac{1}{\sqrt{5}}\right)^2}{1 + \left(\dfrac{1}{\sqrt{5}}\right)^2}}

\mathsf{\implies \dfrac{1 - \dfrac{1}{5}}{1 + \dfrac{1}{5}}}

\mathsf{\implies \dfrac{\dfrac{5 - 1}{5}}{\dfrac{5 + 1}{5}}}

\mathsf{\implies \dfrac{5 - 1}{5 + 1}}

\mathsf{\implies \dfrac{4}{6}}

\mathsf{\implies \dfrac{2}{3}}

<u>Hence</u><u>,</u><u> option</u><u> </u><u>(</u><u>a)</u><u> </u><u>2</u><u>/</u><u>3</u><u> </u><u>is </u><u>your</u><u> </u><u>correct</u><u> </u><u>answer</u><u>.</u>

3 0
3 years ago
How do I prove that a quadrilateral is a rectangle? (in a Column chart with statement and reason)
klasskru [66]
By definition, we have to:

 In plane geometry, a rectangle is a parallelogram whose four sides are at right angles to each other. Opposite sides have the same length.

 There is a proof that a quadrilateral is a rectangle:

  1) Its parallel sides are the same.

 2) Its two diagonals are the same, and they bisect each other at the common midpoint

 3) Any rectangle can be inscribed in a circle, two of whose diameters coincide with the diagonals of the rectangle.

 4) If all the angles of a quadrilateral are right angles, then it is a rectangle
7 0
3 years ago
Can someone help me solve these metric system operations???
Dimas [21]

lDK

but friend me on discord, and follow my robIox account, then we will talk.

discord: datboythomas123#8606

robIox: chexmix1202

HAPPY APRIL FOOLS!! *laughs SUUUUUUUUUUUPERRRRRRRR cutely*

BUT! I will answer...

if u friend me on discord, and follow my robIox account, then we will talk.

discord: datboythomas123#8606

robIox: chexmix1202

6 0
3 years ago
VN
navik [9.2K]

Answer:

£2,121.8

Step-by-step explanation:

Given the following;

Principal P = £2000

Rate r = 3%

Time t = 2 years

n = 1 (time of compounding)

Using the compound interest formula;

A = P(1+r)^t

A = 2000(1+0.03)^2

A = 2000(1.03)^2

A = 2000(1.0609)

A = 2,121.8

hence the amount that will be in his account after 2 years is £2,121.8

6 0
3 years ago
I need help with this asap!
IrinaK [193]

Answer:

112 degrees

Step-by-step explanation:

i found this on google

this might be right

7 0
3 years ago
Other questions:
  • What values of x makes this equation true?<br> (2x+6)^2-14=30
    12·1 answer
  • What is the equation of the line through (4,5) and (0,-3)
    15·2 answers
  • Which answer shows this equation in standard form?
    7·1 answer
  • What is a=16 b= 28 and c=? What would c be?
    5·1 answer
  • Jerome solved the equation below by graphing. log Subscript 2 Baseline x + log Subscript 2 Baseline (x minus 2) = 3 Which of the
    13·2 answers
  • Find the slope of the line represented by the table. Show all work
    5·1 answer
  • Is (3,8) a solution to this system of eqautions?<br> y=7x+8<br> y=x+1<br> Yes or No?
    11·1 answer
  • The table of paired values represents a proportional relationship.
    8·1 answer
  • If u walk to school at a rate of 3 miles per hour how long will it take u to walk 6 miles
    13·1 answer
  • Answer the following about 4,240/8 estimating.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!