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irakobra [83]
3 years ago
13

When renting canoes, there is an initial fee that is the same for all rentals and an hourly fee for

Mathematics
1 answer:
irga5000 [103]3 years ago
7 0

Answer:

c(h)=10h+15

Step-by-step explanation:

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Is millimeter mass or volume? And is quart mass or volume?
V125BC [204]
Both millimeters and quarts are units for volume. 
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3 years ago
An aeroplane X whose average speed is 50°km/hr leaves kano airport at 7.00am and travels for 2 hours on a bearing 050°. It then
Zigmanuir [339]

Answer:

(a)123 km/hr

(b)39 degrees

Step-by-step explanation:

Plane X with an average speed of 50km/hr travels for 2 hours from P (Kano Airport) to point Q in the diagram.

Distance = Speed X Time

Therefore: PQ =50km/hr X 2 hr =100 km

It moves from Point Q at 9.00 am and arrives at the airstrip A by 11.30am.

Distance, QA=50km/hr X 2.5 hr =125 km

Using alternate angles in the diagram:

\angle Q=110^\circ

(a)First, we calculate the distance traveled, PA by plane Y.

Using Cosine rule

q^2=p^2+a^2-2pa\cos Q\\q^2=100^2+125^2-2(100)(125)\cos 110^\circ\\q^2=34175.50\\q=184.87$ km

SInce aeroplane Y leaves kano airport at 10.00am and arrives at 11.30am

Time taken =1.5 hour

Therefore:

Average Speed of Y

=184.87 \div 1.5\\=123.25$ km/hr\\\approx 123$ km/hr (correct to three significant figures)

(b)Flight Direction of Y

Using Law of Sines

\dfrac{p}{\sin P} =\dfrac{q}{\sin Q}\\\dfrac{125}{\sin P} =\dfrac{184.87}{\sin 110}\\123 \times \sin P=125 \times \sin 110\\\sin P=(125 \times \sin 110) \div 184.87\\P=\arcsin [(125 \times \sin 110) \div 184.87]\\P=39^\circ $ (to the nearest degree)

The direction of flight Y to the nearest degree is 39 degrees.

7 0
3 years ago
An investment banker deposited $50,000 in an account earning a nominal 6% per year compounded continuously. How much was in the
Orlov [11]

Answer:

The amount in the account at the end of three years will be $59,861.

Step-by-step explanation:

The formula to compute the amount at the end of <em>t</em> years, compounded continuously is:

A=P\times e^{t\times i}

Here,

A = Amount at the end

P = Principal amount

i = interest rate

t = number of years.

It is provided that:

P = $50,000

i = 6%

t = 3 years

Compute the amount in the account at the end of three years as follows:

A=P\times e^{t\times i}

   =50000\times e^{(3\times 0.06)}\\=50000\times 1.19722\\=59861

Thus, the amount in the account at the end of three years will be $59,861.

5 0
3 years ago
6 tlist the first 5 multiples of 5
natali 33 [55]

Answer:

5 , 10 , 15 , 20 , 25 , 30 , 35 , 40 , 45 , 50 , 55 , 60

6, 12, 18 , 24 , 30, 36 , 42 , 48, 54, 60

30 and 60

5 0
3 years ago
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What is the simplest form of the number 64^2/3
finlep [7]
16, Rewrite 64 as 4 to the 3 power, apply the power rule and multiply the exponents, cancel the common factor and rewrite the equation and get 4 to the 2 power, which is equal to 16!
8 0
3 years ago
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