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2 years ago

What principal amount would yield an interest of $36 in 3 years at 3%? P=

Mathematics

1 answer:

luda_lava [24]2 years ago

4 0

Answer: Let principle sum be x

Time = 3 years

Rate = 3% per annul

SI = $36

SI = \frac{P*R*T}{100}

36 = \frac{x*3*3}{100}

x = 36* \frac{100}{9}

x = 400

So the sum that would yield interest of $36 is $400

Step-by-step explanation:

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Jet001 [13]

Answer:

18 inches

Step-by-step explanation:

54*1/3=18(inches)

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2 years ago

Two sides of a triangle are 8 m and 9 m in length and the angle between them is increasing at a rate of 0.06 rad/s. Find the rat

Lelechka [254]

<h2>Rate at which area is increasing is 1.08 m²/s.</h2>

Step-by-step explanation:

Area of triangle is with side a and b and angle C between them is given by

A = 0.5 ab SinC

Here we need to find how area changes with a and b fixed and C is changing,

$\frac{dA}{dt}=\frac{d}{dt}\left (0.5 absinC\right )\\\\\frac{dA}{dt}=0.5ab\frac{d}{dt}\left (sinC\right )\\\\\frac{dA}{dt}=0.5abcosC\frac{dC}{dt}$

We have

a = 8 m

b = 9 m

$C=\frac{\pi}{3}rad\\\\\frac{dC}{dt}=0.06rad/s$

Substituting

$\frac{dA}{dt}=0.5\times 8\times 9\times cos\left ( \frac{\pi}{3}\right )\times 0.06\\\\\frac{dA}{dt}=1.08m^2/s$

Rate at which area is increasing is 1.08 m²/s.

4 0

3 years ago

What do the grid boxes in a punnett square represent?.

san4es73 [151]

Answer:

All the possible allele combinations in the offspring.

Step-by-step explanation:

8 0

2 years ago

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What is 20,700,0000 in standard notation?

alexdok [17]

Answer:

2.07 x 10^4

Step-by-step explanation:

8 0

3 years ago

Express sin(3theta) in terms of sin (theta)

BigorU [14]

3∅ can be rewritten as (2∅+∅)
sin(3∅) = sin(2∅ + ∅)
Opening brackets on the right hand side;
= sin2∅ cos ∅ + cos2∅sin∅
This simplifies to;
= 2sin∅cos^2∅ + sin∅ (1- 2sin^2∅)
= sin∅ (2cos^2∅ + 1 - 2sin^2∅)
= sin∅ (2(1 - sin^2∅) +1-2sin^2∅)
= 3sin∅ - 4sin^3∅

7 0

2 years ago

Read 2 more answers