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3 years ago

What is the solution to this equation

Mathematics

1 answer:

Lelechka [254]3 years ago

3 0

Answer:

Step-by-step explanation:

its B

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The acute angle of the right angle triangle are in the ratio of 4:5

Fiesta28 [93]

Answer:

Since the triangle is a right angled triangle, one of the angles is 90°. In the right angled triangle, the acute angles are in the ratio 4:5. Let the measures of the acute angles of the triangle in degrees be 4k and 5k, where k is a constant.

Step-by-step explanation:

hope it helps.

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3 years ago

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A 14 foot piece of string is cut into two pieces so that the longer piece is 2 feet longer than twice the shorter piece. Find th

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The lengths of th pieces are 10 foot and 4 foot.

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3 years ago

When the effective interest rate is 9% per annum, what is the present value of a series of 50 annual payments that start at $100

ser-zykov [4K]

Answer:

$1,109.62

Step-by-step explanation:

Let's first compute the future value FV.

In order to see the rule of formation, let's see the value (in $) for the first few years

End of year 0

1,000

End of year 1(capital + interest + new deposit)

1,000*(1.09)+10

End of year 2 (capital + interest + new deposit)

(1,000*(1.09)+10)*1.09 +10 =

$\bf 1,000*(1.09)^2+10(1+1.09)$

End of year 3 (capital + interest + new deposit)

$\bf (1,000*(1.09)^2+10(1+1.09))(1.09)+10=\\1,000*(1.09)^3+10(1+1.09+1.09^2)$

and we can see that at the end of year 50, the future value is

$\bf FV=1,000*(1.09)^{50}+10(1+1.09+(1.09)^2+...+(1.09)^{49}$

The sum

$\bf 1+1.09+(1.09)^2+...+(1.09)^{49}$

is the sum of a geometric sequence with common ratio 1.09 and is equal to

$\bf \frac{(1.09)^{50}-1}{1.09-1}=815.08356$

and the future value is then

$\bf FV=1,000*(1.09)^{50}+10*815.08356=82,508.35564$

The present value PV is

$\bf PV=\frac{FV}{(1.09)^{50}}=\frac{82508.35564}{74.35572}=1,109.616829\approx \$1,109.62$

rounded to the nearest hundredth.

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3 years ago

Which statement is true about a graph representing the data? Select two options

faust18 [17]

Answer:

Where are the graph options??? lol

Step-by-step explanation:

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‼️correct answer will get brainliest‼️

sveta [45]

48 qrts * 25 barrels per trip = 1200 qrts get picked up per trip

1200 qrts * 1 hr/7qrts = 171.43 hrs to fill all 25 barrels

171.43 hrs * 1 day/24hrs = 7.14 days

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3 years ago