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bixtya [17]
3 years ago
10

-21/3 - (-5) =

Mathematics
2 answers:
loris [4]3 years ago
8 0

Answer:   Yeah ik i have to do it too lol

but the answer is -2

Step-by-step explanation:

Vikentia [17]3 years ago
7 0

Answer:

-2

Step-by-step explanation:

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Over the summer, Janice spent 120 hours reading. She
zalisa [80]

Answer:

time spent reading science fiction= 18

time spent reading non-fiction=102

Step-by-step explanation:

15 percent off 120.00 is 102.00 The difference is 18.00

6 0
3 years ago
Ella invested $2,700 in an account paying an interest rate of 5.4% compounded
Dmitry [639]

Answer:

<em>The account will take 7 years to reach a value of $4,020</em>

Step-by-step explanation:

<u>Compound Interest </u>

When it occurs interest in the next period is then earned on the principal sum plus previously accumulated interest.

The formula is:

{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}

Where:

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Ella invested P=$2,700 in an account with an interest rate of r=5.4% (0.054) compounded monthly. Since there are 12 months in a year, n=12.

It will be calculated when will the account have a value of A=$4,020. Substituting all the values in the formula:

{\displaystyle 4,020=2,700\left(1+{\frac {0.054}{12}}\right)^{12t}}

Calculating:

{\displaystyle 4,020=2,700\left(1.0045)^{12t}}

Dividing by 2,700:

{\displaystyle \frac{4,020}{2,700}=\left(1.0045)^{12t}}

To solve this equation for t, we need to apply logarithms:

{\displaystyle \log\frac{4,020}{2,700}=\log\left(1.0045)^{12t}}

Applying the logarithm power rule:

\displaystyle \log\frac{4,020}{2,700}=12t\log 1.0045

Dividing by 12log 1.0045:

\displaystyle t=\frac{\log\frac{4,020}{2,700}}{12\log 1.0045}

Calculating:

t= 7.39 years

Rounding to the nearest year, the account will take 7 years to reach a value of $4,020

3 0
3 years ago
Read 2 more answers
What is the y intercept
Natasha_Volkova [10]

Answer:

0,-3

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Stella graphed y = 100 - 25/3 * x to represent the percentage of battery life remaining on her phone after x hours. What is a re
Leya [2.2K]

Answer:

from 0 to 12 hours, that is 0\leq x\leq 12

Step-by-step explanation:

Notice that the x represents the number of phone hours used, therefore it has to be a number larger or equal zero, but NOT a negative number.

So on one end we have that the number of phone hours used (x) must be larger or equal zero: x\geq 0

On the other hand, when the battery goes to zero, there are no more phone hours to use. We can find what is that other limit by making the battery percent (y variable) equal to zero, and solve the equation for x, thus giving us the upper limit of usable phone hours:

y=0=100-\frac{25}{3} x\\\frac{25}{3} x=100\\25 x = 100*3 = 300\\x = \frac{300}{25} = 12

Therefore, the upper limit for the number of usable phone hours is 12 hours.

Then we write:

0\leq x\leq 12 hours

4 0
3 years ago
Solve for x<br><img src="https://tex.z-dn.net/?f=%5Cbold%7Bx%20%7B%7D%5E%7B2%7D%20%2B%205x%20%2B%206%20%3D%200%7D" id="TexFormul
finlep [7]

Answer:

  • x = -2
  • x = -3

Step-by-step explanation:

\bf {x}^{2}  + 5x + 6 = 0

Write the equation in factored form.

\bf (x + 2)(x + 3) = 0

Separate equations, and set each factor to zero.

\bf x + 2 = 0

\bf x  + 3 = 0

Rearrange and isolate the variable to find the solutions

\bf x =  - 2

\bf x =  - 3

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

3 0
2 years ago
Read 2 more answers
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