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Gennadij [26K]
2 years ago
11

Ellis is going on a tour that costs $65 while on vacation. He was told to bring $118 to pay for the cost of the tour and dinner.

Which of the following inequalities represents the money Ellis can spend on dinner?
A. $118 + d < $65
B. $118 + d > $65
C. $65 + d > $118
D. $65 + d < $118
Mathematics
1 answer:
Olegator [25]2 years ago
3 0

Answer:

The answer should be D.

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Need help asap important! thanks so much!
a_sh-v [17]

Answer:

You would have $343.37 at the end of the 2 years.

Step-by-step explanation:

Interest earned is like bonus money the bank pays you just for keeping money

\mathrm{Compund\:Interest\:Formula}:\quad A =  P {  \left( 1+ \dfrac{ r  }{ n  }    \right)    }^{ nt  }

P: the starting balance of the account (also called initial deposit, or principal)

A: the new balance in the account after N years.

t: the number of years or time

r: the interest rate, (in decimal form)

n: the number of times the interest is compounded each year.

Annually = each year = 1

P =$300, r = 7%, t = 2, n = 1, A = ?

Substitute the numbers into the "Compound Interest Formula".

A =  300 {  \left( 1+ \dfrac{ 0.07  }{ 1  }    \right)    }^{ 1 \times  2  }

\mathrm{Anything\:divided\:by\:1\:gives\:itself}

A =  300 {  \left( 1+0.07  \right)    }^{ 1 \times  2  }

\mathrm{Add\:1\:and\:0.07\:to\:get\:1.07}

A =  300 \times   { 1.07  }^{ 1 \times  2  }

\mathrm{Multiply\:1\:and\:2\:to\:get\:2}

A =  300 \times   { 1.07  }^{ 2  }

\mathrm{Calculate\:1.07\:to\:the\:power\:of\:2\:and\:get\:1.1449}

A =  300 \times  1.1449

\mathrm{Multiply\:300\:and\:1.1449\:to\:get\:343.47}

A =  343.47

So you would have $343.37 at the end of the 2 years.

Look at the chart

\mathrm{Year}\quad \mathrm{Year\: Interest}\quad \mathrm{Total\:Interest}\quad \mathrm{Balance}\\\quad1\quad\quad\quad $21.00\quad\quad\quad\quad $21.00\quad\quad\quad\quad $321.00\\\quad2\quad\quad\quad $22.47\quad\quad\quad\quad $43.47\quad\quad\quad\quad $343.47

8 0
2 years ago
Jayden earned some money doing odd jobs last summer and put it in a savings account that earns 12% interest compounded monthly.
aivan3 [116]

Answer:

$220.18

Step-by-step explanation:

The amount A(n) accrued for P dollars saved at r% annual interest for a period of n years compounded k times is derived using the formula:

A(n)=P \left(1+\dfrac{r}{k}\right)^{nk}

In Jayden's case:

  • A(n)=$400
  • r=12%=0.12
  • n=5 years
  • k=12 Months

We want to determine the amount Jayden put in the savings account.

400=P \left(1+\dfrac{0.12}{12}\right)^{12*5}\\400=P \left(1+0.01}\right)^{60}\\400=P \left(1.01}\right)^{60}\\P=\dfrac{400}{\left(1.01}\right)^{60}}\\

P=\$220.18

Jayden earned $220.18 from doing odd jobs.

8 0
3 years ago
Find the measure of angle K. ​
atroni [7]

Answer:

m∠K = 97°

Step-by-step explanation:

The sum of the measures of the angles of a quadrilateral is 360

127 + 5x + 3 + 10x + 7 + 88 = 360

15x + 225 = 360

15x = 135

x = 9

m∠K = 10x + 7 = 10(9) + 7 = 90 + 7 = 97°

8 0
3 years ago
What is the measure of
Anastasy [175]

<em>Hey</em><em>!</em><em>!</em><em>!</em>

<em>here</em><em>'s</em><em> </em><em>your</em><em> </em><em>answer</em>

<em>X+</em><em>1</em><em>2</em><em>8</em><em>=</em><em>1</em><em>8</em><em>0</em><em>(</em><em> </em><em>sum</em><em> </em><em>of</em><em> </em><em>angle</em><em> </em><em>in</em><em> </em><em>straight</em><em> </em><em>line</em><em>)</em>

<em>or</em><em>,</em><em>X=</em><em>1</em><em>8</em><em>0</em><em>-</em><em>1</em><em>2</em><em>8</em>

<em>X=</em><em>5</em><em>2</em><em> </em><em>degree</em><em>.</em>

<em>So</em><em> </em><em>the</em><em> </em><em>value</em><em> </em><em>of</em><em> </em><em>X </em><em>is</em><em> </em><em>5</em><em>2</em><em> </em><em>degree</em><em>.</em>

<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em><em>.</em><em>.</em>

<em>Good</em><em> </em><em>luck</em><em> </em><em>on</em><em> </em><em>your</em><em> </em><em>assignment</em>

3 0
3 years ago
Read 2 more answers
I need help with finding side lengths... Please ASAP! Thanks
ratelena [41]

Step-by-step explanation:

  1. a . write the formula for finding area that is area= L by W so to get w will area over length so 4731/83= 57
  2. perimeter=2( L+ W ) so substitute so that it looks like this 318= 2(L + 72 ) then open the bracket 318= (2L + 144) then move 144 to the other side so 318 - 144 = 2L then you get 174= 2L divide both sides by 2 and your length is 87
8 0
3 years ago
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