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Xelga [282]
3 years ago
7

The breadth of a rectangular garden is 2/3 of its legth. If its perimeter is 40cm, find its dimensions.

Mathematics
1 answer:
Arisa [49]3 years ago
6 0

Answer:

12; 8

Step-by-step explanation:

length-x

breadth-2/3x

2(x+2/3 x)=40

2×5/3x=40

10/3x=40

x=40÷10/3

x=40×3/10

x=12 (cm) length

2/3×12=8 (cm) breadth

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Find the accumulated value of an investment of $14,000 at 10% compounded semiannually for 11 year
kifflom [539]

Given:

Principal = $14000

Rate of interest = 10% compounded semiannually.

Time = 11 years.

To find:

The accumulated value of the given investment.

Solution:

Formula for amount or accumulated value after compound interest is:

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

Where, P is the principal values, r is the rate of interest in decimal, n is the number of times interest compounded in an year and t is the number of years.

Compounded semiannually means interest compounded 2 times in an years.

Putting P=14000,r=0.10,n=2,t=11 in the above formula, we get

A=14000\left(1+\dfrac{0.10}{2}\right)^{2(11)}

A=14000\left(1+0.05\right)^{22}

A=14000\left(1.05\right)^{22}

A\approx 40953.65

Therefore, the accumulated value of the given investment is $40953.65.

8 0
3 years ago
Read 2 more answers
Nicole took a taxi from her house to the airport. The taxi company charged a pick-up fee of $2.90 plus $1.75 per mile. The total
arlik [135]

9514 1404 393

Answer:

  24 miles

Step-by-step explanation:

The total fare is the sum of the pickup fee and the mileage charge. For xx miles, the mileage charge will be 1.75xx, so the total is ...

  1.75xx +2.90 = 44.90 . . .  equation for xx

  1.75xx = 42.00 . . . . . subtract 2.90

  xx = 24 . . . . . . . . . divide by 1.75

The number of miles in Nicole's taxi ride was 24.

8 0
3 years ago
A dog walker charges a flat rate of $6 per walk plus an hourly rate of $30. How much does the dog walkercharge for a 45 minute w
leonid [27]

hello

from the question given, the dog walker charges a flat rate of $6 and an extra $30 per hour.

we can write out an equation in function notation

let the number of hours be represented by x

f(x)=6+30x

now we can proceed to solve the cost of the walk for 45 minutes

\begin{gathered} 1hr=60\min s \\ \text{xhr}=45\min s \\ x=\frac{45}{60} \\ x=\frac{3}{4} \\ \text{therefore 45mins = 3/4 hours} \end{gathered}

now we can input the value into the equation and know the cost for 45 minutes walk

\begin{gathered} f(x)=6+30x \\ x=\frac{3}{4} \\ f(x)=6+30(\frac{3}{4}) \\ f(x)=6+22.5 \\ f(x)=28.5 \end{gathered}

from the calculation above, the cost of 45 minutes walk will cost $28.5

6 0
1 year ago
Error error error error error
emmainna [20.7K]
Error error error error error error error

8 0
4 years ago
Using the equation y = 3x – 5, what would the output be for an input of 2
Licemer1 [7]

Answer:

Step-by-step explanation:

y = 3x - 5.....input values are x and output values are y

so if ur input (x) is 2.....sub 2 in for x and find ur output (y)

y = 3x - 5

y = 3(2) - 5

y = 6 - 5

y = 1 <=== ur output value

3 0
3 years ago
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