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Crank
2 years ago
5

A shipping company borrows $70 million at 5% p.a. compound interest to build a new cruise ship. If it repays the debt after 3 ye

ars, how much interest will the company pay?
Mathematics
1 answer:
dem82 [27]2 years ago
5 0

Answer:

about 11.03 million

Step-by-step explanation:

Use the equation I = P(1+r/100)^n - P (I is the compound interest, P is the principle, r is the rate percent, and n is the number of years):

Substitute the values given:

I = 70,000,000(1 + 5/100)^3 - 70,000,000

Use a calculator to solve and you will get ~11.03 million.

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At Pizza Perfect, Ron and Harold make pizza crusts. When they work separately Ron finishes the job of making 100 crusts 1.2 hour
Arada [10]

Answer:  Ron take approximately 4.2 hours to make 100 crusts alone.

Step-by-step explanation:

Since we have given that

Number of hours taken by Ron before Harold = 1.2 hours

Number of hours taken by Ron and Harold together = 1.8 hours

We need to find the number of hours taken by Ron alone i.e. 'x'.

Let number of hours taken by Harold alone be '1.2-x'.

Let work done by Ron alone  = \dfrac{1}{x}

Work done by Harold = \dfrac{1}{x-1.2}

According to question, we get that

\dfrac{1}{x}+\dfrac{1}{x-1.2}=\dfrac{1}{1.8}\\\\\dfrac{x-1.2+x}{x(x-1.2)}=\dfrac{1}{1.8}\\\\\dfrac{2x-1.2}{x^2-1.2x}=\dfrac{1}{1.8}\\\\3.6x-2.16=x^2-1.2x\\\\x^2-1.2x-3.6x+2.16=0\\\\x^2-4.8x+2.16=0\\\\x=0.5,4.2

x-1.2 does not satisfied with x = 0.5 so, x = 4.2

Hence, Ron take approximately 4.2 hours to make 100 crusts alone.

7 0
2 years ago
Andre types 208 words in 4 minutes. Noah types 342 words in 6 minutes. Who types faster?
Hunter-Best [27]

Answer:

Noah

Step-by-step explanation:

For Andre you would divide 208 words by 4 minutes getting 52 words per minute. Then, for Noah divide 342 words by 6 minutes getting 57 words per minute. Noah types faster because he can type more words per minute.

7 0
2 years ago
9r+4d-2 use r=9 and d=2
Leto [7]

Answer:

87

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
On a coordinate plane, 2 triangles are shown. Triangle A B C has points (negative 1, 1), (negative 4, 1) and (negative 1, 5). Tr
Reptile [31]

Answer:

The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN.

8 0
2 years ago
Read 2 more answers
An object has a position given by r⃗ = [2.0 m + (5.00 m/s)t] i^ + [3.0 m − (3.00 m/s2)t2] j^ , where quantities are in SI units.
Anvisha [2.4K]

Answer:

Speed = 13.0m/s

Step-by-step explanation:

Given that velocity, v = (ai ± bj)m/s.

Because speed is scalar and has only magnitude, we can obtain it from the velocity by calculating only the magnitude given as:

Speed = (\sqrt{a^{2} + b^{2} } )m/s      ...Equation 1

From the question, we were given the position vector, r

The velocity can be obtained by differentiating r with respect to time, t

We have that differentiation of a constant is 0.

v = \frac{dr}{dt} = \frac{d}{dt}[(2.0+5.00t)i + (3.0 - 3.00t^{2})j]   \\\\v = 0 + 5.00i + 0 - (6.00t)j

At time t = 2.00s,

v = 5.00i - (6.00*2.00)j = 5.00i - 12.00j

To obtain the speed, we use equation 1

Speed = \sqrt{(5.00)^{2} + (12.00)^{2} } = \sqrt{25 + 144} \\ \\Speed = \sqrt{169} = 13.00m/s

<em>Therefore, the speed of the object at time t = 2.00s is 13.00m/s</em>

8 0
2 years ago
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