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Mrrafil [7]
2 years ago
5

You invest 5000 in an account at 5.5% per year simple intrest how much will you have in the account at the beginning of the 6th

year
Mathematics
1 answer:
Karo-lina-s [1.5K]2 years ago
3 0
I=Prt  Simple interest is the principle times the rate times the time.

The balance will be the principle plus that interest so:

B=P(1+rt), since P=5000 and the rate is 0.055

B=5000(1+0.055t) so at the beginning of the sixth year you will have earned five years of interest.

B=5000(1+0.055(5))

B=$6375
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If f(x) = -x-2, what is f¹(x)?
astra-53 [7]

Answer:

  1. f¯¹(x) =9x+18, for the pictorial(image) question
  2. what is the send question is it asking derivative or inverse
  3. If it is inverse f¯¹(x)=-x-2 as it is
  4. Or if it is derivative f'(x)=-1

Step-by-step explanation:

<h2>For the image question f(x)=1/9x-2,f¯¹(x)=?</h2>
  • f(x)=1/9x-2............given
  • y=1/9x-2................swapping f(x) by y to Easily write
  • x=1/9y-2................interchanging x and y
  • 1/9y-2=x................changeling side of equation
  • 9(1/9y-2)=(x)9.......multiplying both sides by 9 to override the fraction on the right side
  • y-18=9x
  • y=9x-18.................Return to where it were
  • <em><u>f¯¹(x)=9x+18</u></em>..........swap back f¯¹(x) in the y

<h2>For the question f(x)=-x-2,f¯¹(x)=?</h2>
  • following the ☝️ arrangement
  • y=-x-2
  • x=-y-2
  • -y-2=x
  • -y=x+2
  • y=-x-2
  • f¯¹(x)=-x-2
4 0
1 year ago
3. You want to have $4000 in your savings account after 2 years. Find the amount you should deposit for each of the situations d
pychu [463]

Answer:

Part A)

About $3767.34.

Part B)

About $3692.47.

Step-by-step explanation:

Part A)

Recall that compound interest is given by the formula:
\displaystyle A = P\left(1+\frac{r}{n}\right)^{nt}

Where <em>A</em> is the final amount, <em>P</em> is the initial amount, <em>r</em> is the interest rate, <em>n</em> is the number of times compounded per year, and <em>t</em> is the number of years.

To obtain $4000 after two years, let <em>A</em> = 4000 and<em> t</em> = 2.

Because the account pays 3% interest compounded monthly, <em>r</em> = 0.03 and <em>n</em> = 12.

Substitute and solve for <em>P: </em>

<em />\displaystyle \begin{aligned} (4000) & = P\left(1+\frac{(0.03)}{(12)}\right)^{(12)(2)} \\ \\ P & = \frac{4000}{\left(1+\dfrac{(0.03)}{(12)}\right)^{(12)(2)}} \\ \\ & \approx \$3767.34\end{aligned}

In concluion, about $3767.34 should be deposited.

Part B)

Recall the formula for continuous compound:

\displaystyle A = Pe^{rt}

Where <em>e</em> is Euler's number.

Hence, let <em>A</em> = 4000, <em>r</em> = 0.04 and <em>t</em> = 2. Substitute and solve for <em>P: </em>

<em />\displaystyle \begin{aligned}(4000) & = Pe^{(0.04)(2)} \\ \\ P & = \frac{4000}{e^{(0.02)(4)}} \\ \\ & \approx \$3692.47 \end{aligned}

In conclusion, about $3692.47 should be deposited.

8 0
2 years ago
Find the decimal expansion of 1/5
Lesechka [4]

Answer:

0.2

Step-by-step explanation:

\frac{1}{5}  = 0.2 \\

7 0
3 years ago
Find the distance between points A (10,-1) and B (-2,5). Round to the nearest tenth
bija089 [108]

Answer:

<h2>The answer is 13.4 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2}  +  ({y1 - y2})^{2} }  \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A (10,-1) and B (-2,5)

The distance is

|AB|  =  \sqrt{ ({10 + 2})^{2} +  ({ - 1 - 5})^{2}  }  \\  =  \sqrt{ {12}^{2}  +  ({ - 6})^{2} }  \\  =  \sqrt{144 + 36}  \:  \:  \:  \:  \:  \:  \:   \\  =  \sqrt{180}  \\  = 6 \sqrt{5}  \:  \:  \\  =13.416407

We have the final answer as

<h3>13.4 units to the nearest tenth</h3>

Hope this helps you

7 0
3 years ago
Which expression have a value between 7 and 8 π+4 2II √62 √48 √56​
lilavasa [31]

Answer:

square root 48

Step-by-step explanation:

It is square root 48 because it is between 7 and 8 not exactly if it was exactly 7 and 8 it would be square root 56

7 0
2 years ago
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