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klasskru [66]
3 years ago
9

Find the sum which amounts to Rs 9261 at 10% per annum compound interest for 18 months ,interest payable half yearly

Mathematics
1 answer:
AleksAgata [21]3 years ago
6 0

Find the sum which amounts to Rs 9261 at 10% per annum compound interest for 18 months ,interest payable half yearly

A=P(1+\frac{r}{n})^{nt} , where A is amount , r is rate =10% = 0.10 , n is intervals of compounding n=2 , t is time = 18 months=1.5 years

Lets plug in

9261=P(1+\frac{0.10}{2})^{2*1.5}

9261 = P(1.002)^{3}

9261 = P(1.006012008)

divide both sides by 1.006012008

P= Rs 9205.6555

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Will give any wanted points!! help quick!!
gayaneshka [121]

Here , the ratio <em><u>UV:</u></em><em><u>VW</u></em> and <em><u>UT:TS</u></em> will be in proportion , so ;

{:\implies \quad \sf \dfrac{UV}{VW}=\dfrac{UT}{TS}}

Putting the given values ;

{:\implies \quad \sf \dfrac{18}{36}=\dfrac{UT}{24}}

{:\implies \quad \sf UT=\dfrac{1}{2}\times 24}

{:\implies \quad \bf \therefore \quad \underline{\underline{UT=12 \:\: units}}}

4 0
2 years ago
−7x−6y=2<br> 7x+4y=−6<br> solve for x and y
ikadub [295]

Answer:

\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:x=-2,\:y=2}

Step-by-step explanation:

\begin{bmatrix}-7x-6y=2\\ 7x+4y=-6\end{bmatrix}

\mathrm{Substitute\:}x=-\frac{2+6y}{7}

\begin{bmatrix}7\left(-\frac{2+6y}{7}\right)+4y=-6\end{bmatrix}

\begin{bmatrix}-2-2y=-6\end{bmatrix}

\mathrm{For\:}x=-\frac{2+6y}{7}

\mathrm{Substitute\:}y=2

x=-\frac{2+6\cdot \:2}{7}\\\\x=-2

5 0
2 years ago
Gabriela has dinner at a cafe and the Cost of a meal is $45 because of the service she wants to give 15% tip
masha68 [24]

Answer:

$6.75 dollars

Step-by-step explanation:

6 0
3 years ago
Write and solve a system of equations to determine how many tickets were sold before and at the music festival. PLEASE HELPPP
strojnjashka [21]

b = number of tickets sold before

a = number of tickets sold after

cost of a ticket = number of tickets times cost per ticket

before cost = 39.95b

after cost = 54.95a

total cost = 925000

39.95b + 54.95a = 925000

total number tickets = 20000

b + a = 20000

we have

39.95b + 54.95a = 925000

b + a = 20000

multiply second equation by -39.95 and add to first equation

39.95b + 54.95a = 925000

-39.95b-39.95a = -799000 +

0b+15a = 126000

15a = 126000

divide bot sides by 15

a = 8400

sub back

b + a = 20000

b+8400 = 20000

minus 8400 both sides

b = 11600

11,600 tickets sold before

8400 tickets sold after

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%3D%20%20%5Cfrac%7B144%7D%7B25%7D%20" id="TexFormula1" title=" {x}^{
ss7ja [257]

Answer:

x²=144/25

x=±12/5

Step-by-step explanation:

Hope it helps u

4 0
3 years ago
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