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soldier1979 [14.2K]
3 years ago
5

A sum is invested in a building society at 4% interest per annum and after 3 years

Mathematics
1 answer:
lesantik [10]3 years ago
7 0

Answer:

Original value of investment = £500 (Approx.)

Step-by-step explanation:

Given:

Rate per year = 4%

Number of year = 3 years

Value of investment after 3 year = £562.43

Find:

Original value of investment

Computation:

A = P[1+r]ⁿ

562.43 = P[1+4%]³

562.43 = P[1+0.04]³

562.43 = P[1.04]³

562.43 = P[1.1248]

Original value of investment = 562.43 / 1.1248

Original value of investment = 500.026

Original value of investment = £500 (Approx.)

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Write the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5)
Sedbober [7]

Answer:   \bold{y=-\dfrac{1}{3}x-1}

<u>Step-by-step explanation:</u>

(4, 1) & (2, -5)

First, find the slope (m) and then the perpendicular (opposite reciprocal) slope:

m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\m=\dfrac{-5-1}{2-4} = \dfrac{-6}{-2}=3\quad \rightarrow \quad m_{\perp}=-\dfrac{1}{3}\\

Next, find the midpoint of (4, 1) and (2, -5):

Midpoint=\bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{4+2}{2},\dfrac{1-5}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{6}{2},\dfrac{-4}{2}\bigg)\\\\\\.\qquad \qquad=(3, -2)

Lastly, input the perpendicular slope and the midpoint into the Point-Slope formula to find the equation of the line:

y - y_1 = m_{\perp}(x - x_1)\\\\y - (-2) = -\dfrac{1}{3}(x - 3)\\\\y + 2=-\dfrac{1}{3}x +1\\\\y =-\dfrac{1}{3}x - 1\\


6 0
3 years ago
PLEASE HELP! Answer only if correct, please. :)
s2008m [1.1K]

Answer:

Solid dot on -7 with the line going to the right towards 0

Step-by-step explanation:

5 0
3 years ago
لیست داده و
choli [55]

Given parameters:

Cost price of the article = Nu.28.30

Selling price of the article  = Nu.29.30

Unknown:

Gain percentage = ?

The gain percentage is the same as the percentage profit on a trade.

The formula is given as:

       Gain percentage  = \frac{Profit}{Cost price}  x 100

         Profit = Selling price  - Cost price

                   = Nu.29.30 - Nu.28.30  

                   = Nu. 1

Now input the parameters and solve;

            Gain percentage  = \frac{1}{28.3} x 100

                                          = 3.5%

The gain percent is  3.5%

3 0
3 years ago
A line has a slope of -6. Which of the following could describe two points on the line?
MrRa [10]

Answer:

A is the answer just did the quiz

5 0
3 years ago
The owner of the Koffee Shop pours the remainder of her old house blend, which is 40 % 40 % Colombian beans, into a 60 60 -pound
maks197457 [2]

Answer:

0.4h ; 60 - h ;18 - 0.3h ; 0.1h + 18

Step-by-step explanation:

Given that:

Old house blend = 40% Columbian beans

New house blend = 30% Columbian beans

h = number of pounds of old house blend

a.) pound of columbian bean in old house blend :

40% of h = 0.4h

b.) pound of new blend poured into the bean:

Size of bin = 60 pound

Size of bin - pound of old house blend

(60 - h)

c. Amount of columbian bean in pound of new house blend :

30% of (60 - h)

0.3 * (60 - h)

18 - 0.3h

D.) Amount of columbian bean in 60 pound bin

(Pound of columbian bean in old house blend + pound of Columbian bean in New house blend)

0.4h + (18 - 0.3h)

0.4h + 18 - 0.3h

0.1h + 18

4 0
3 years ago
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