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krok68 [10]
3 years ago
11

Mark invests £12000 in a savings account. the account pays 1.5% compound interest per year. work out the value of her investment

after two years?
Mathematics
1 answer:
mars1129 [50]3 years ago
7 0

Answer:

FV= £12,362.7

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= £12,000

Number of periods (n)= 2 years

Interest rate (i)= 1.5% = 0.015

<u>To calculate the Future Value, we need to use the following formula:</u>

FV= PV*(1 + i)^n

FV= 12,000*(1.015^2)

FV= £12,362.7

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masya89 [10]
4+5=9 divided by 3 is 3 times 4 is 12. so it's 12

hope this helps;)

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3 years ago
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The speed that a tsunami can travel is modeled by the equation s = 356 startroot d endroot , where s is the speed in kilometers
Naddika [18.5K]

The approximate depth of water for a tsunami traveling at 200 kilometers per hour is 0.32 km.

<h3>What is speed?</h3>

Speed can be calculated as the ratio of distance traveled to the time taken.

The speed that a tsunami can travel is modeled by the equation

s = 356√d, where s is the speed in kilometers per hour and d is the average depth of the water in kilometers.

S = 356√d

200 = 356√d

√d = 200/356

= 0.5618

d = 0.5618^2

= 0.316 km

d = 0.32 km.

Thus, The approximate depth of water for a tsunami traveling at 200 kilometers per hour is 0.32 km.

Learn more about speed;

brainly.com/question/4723349

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2 years ago
For fun question
ZanzabumX [31]
Consider the function f(x)=x^{1/3}, which has derivative f'(x)=\dfrac13x^{-2/3}.

The linear approximation of f(x) for some value x within a neighborhood of x=c is given by

f(x)\approx f'(c)(x-c)+f(c)

Let c=64. Then (63.97)^{1/3} can be estimated to be

f(63.97)\approxf'(64)(63.97-64)+f(64)
\sqrt[3]{63.97}\approx4-\dfrac{0.03}{48}=3.999375

Since f'(x)>0 for x>0, it follows that f(x) must be strictly increasing over that part of its domain, which means the linear approximation lies strictly above the function f(x). This means the estimated value is an overestimation.

Indeed, the actual value is closer to the number 3.999374902...
4 0
3 years ago
-4(n - 6) = 12<br><br> Solve the Equation.
Romashka-Z-Leto [24]
-4(n - 6) = 12

n - 6 = -12/4   divide both sides by -4

n - 6 = -3

n = -3 + 6    add both sides by 6

n = 3

hope that helps, God bless!
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3 years ago
How did we transform from f(x) =x2 to g(x) = -3x2
Oksi-84 [34.3K]

Answer:

  f(x) is reflected over the x-axis and vertically scaled by a factor of 3

Step-by-step explanation:

If you compare the two functions, you see that ...

  g(x) = -3f(x)

Multiplication by -1 effects a reflection over the x-axis. (All y-values are transformed to their opposite.)

Multiplication by 3 is a vertical scaling by a factor of 3.

Taken together, f(x) is reflected over the x-axis and vertically scaled by a factor of 3.

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3 years ago
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