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djyliett [7]
3 years ago
12

Work out the balance for £1500 invested for 2 years at 3.7% per annum

Mathematics
1 answer:
pogonyaev3 years ago
4 0
Given:
Principal = 1,500
term = 2 years
interest rate = 3.7% per annum

Simple Interest = Principal * interest rate * term
S.I = 1,500 * 0.037 * 2
S.I = 111

Total value = 1,500 + 111 = 1,611

Compound interest
A = P (1+r/n)^nt
where n is the number of times interest is compounded. Assuming interest is only compounded once.

A = 1,500(1+0.037/1)^1*2
A = 1,500(1.037)²
A = 1,500(1.075369)
A = 1,613.0535

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Jeb is the local tennis pro at the country club, and he needs to know at what height the tennis ball needs to be when he hits it
suter [353]

Answer:

The height from ground, at which Jeb needs to hit the ball is 7.8 meters

Step-by-step explanation:

The given parameters are;

The distance away the tennis ball is hit = 20 meters;

The height of the tennis net = 0.3 m

The distance from the net the ball lands = 4 meters

The time the ball takes to land from the 0.3 m net height is given as follows;

t = √(h/(1/2×g)) = √(0.3/(1/2 × 9.8)) ≈ 0.2474

t ≈ 0.2474 seconds

The speed of the ball = Distance/Time = 4/0.2474 ≈ 16.166

The speed of the ball ≈ 16.166 m/s

The time it takes the ball to reach the net = 20/16.166 ≈ 1.24

The time it takes the ball to reach the net, tₓ ≈ 1.24 seconds

The height, hₓ the ball falls in 1.24 seconds is given as follows;

hₓ = 1/2·g·tₓ² = 1/2 × 9.8 × 1.24² = 7.5

The height, hₓ the ball falls in 1.24 seconds = 7.5 m

The height the ball falls in the time taken to reach the net from 20 meters = The height, hₓ the ball falls in 1.24 seconds

Therefore, the height at which Jeb needs to hit the ball = The height the ball falls in the time taken to reach the net from 20 meters + The height of the net = 7.5 m + 0.3 m = 7.8 m

The height at which Jeb needs to hit the ball = 7.8 m

4 0
3 years ago
Negative 12 - negative 50
seraphim [82]

Answer:

38

Step-by-step explanation:

if you're asking what (-12)-(-50) is the answer is 38 simple method to remember is KCF or KFC same thing just worded differently but it means keep change flip! hope that helped have a great day!!

5 0
2 years ago
Remo needs to buy a countertop for a bathroom. He calculated the area as 10 square feet. The actual area is 9.5 square feet. Wha
Digiron [165]

Answer:

The answer is either 5.26 or 5 I think its 5.26

Step-by-step explanation: The reason why I think its the two answers I said is because 10 is 10 percent of 100 so 9.5 is 9.5 percent which makes me think that

4 0
3 years ago
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Write the equation (in point-slope form) for the line parallel to y = x + 4 and passes
Tanya [424]

Answer:

y = x-7

Step-by-step explanation:

<u>Step 1:  Write the equation in point-slope form</u>

Point Slope Form:  y-y_{1}=m\left(x-x_{1}\right)

<u>Plug in the numbers and solve</u>

<u />y - (-2) = 1(x - 5)

y + 2 = x - 5

y + 2 - 2 = x - 5 - 2

y = x-7

Answer:  y = x-7

8 0
2 years ago
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Help please <br> Brainiest answer to whoever is first
Degger [83]
Should be 1204.75? use this answer to check your work!

My work:
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36 times 28 = 1008
6.5 times 8.5 = 55.25

(1008 + 252) - 55.25 = 1204.75
6 0
2 years ago
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