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Ilya [14]
4 years ago
5

$1,000 for 40 years at 8% annual simple interest

Mathematics
1 answer:
bekas [8.4K]4 years ago
5 0

Answer:

$3200

Step-by-step explanation:

1000x40x8/100

pls make me brainlist

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Find the component of a velocity vector of an airplane that is traveling 150 mph at 45° below horizontal.
pashok25 [27]
First, you need to remember how to obtain the answer. 
1) (velocity)*(cosine of the angle)2)(velocity)*(sine of the angle)
Since the plane is traveling 45 degrees below the horizon the angle that we will be using is 180+45=225. 
Therefore we will have, 
150* cos(225) = -81.31
150*sin(225) = -81.31
*In the unit circle, the coordinates of 225 are -squareroot(2) divided by 2 for both sin and cos, which explains why we have the same answer for both sin and cos. 
The answer being negative makes sense since the speed is decreasing due to the fact that the plane is traveling below horizontal. 
5 0
4 years ago
Read 2 more answers
The sum of the circumference of two circles is 38π cm and the sum of their areas is 193π cm². Calculate the radii of the circles
sdas [7]

Answer:

The radii of the circles are 12 cm and 7cm.

Step-by-step explanation:

Let the radii of the circles be r_{1}\ and\ r_{2}

Given:

Sum of circumference of two circles= 38π cm

Formula for circumference of a circle with radius r = 2πr

2\pi r_{1}+2\pi r_{2}=38\pi \\r_{1}+r_{2}=19------------1

Sum of areas of two circles= 193π cm²

Area of circle with radius r = πr²

\pi r_{1}^{2}+\pi r_{2}^{2}=193\pi \\r_{1}^{2}+r_{2}^{2}=193-------2

Substituting r2 = 19 - r1 in equation 2 we get:

r_{1}^{2}+(19-r_{1})^{2}=193\\2r_{1}^{2}-38r_{1}+168=0\\r_{1}^{2}-19r_{1}+84=0\\(r_{1}-12)(r_{1}-7)=0\\r_{1}=12\ or\ 7

Then r2 = 19 - r1

r_{2}=12\ or\ 7

7 0
3 years ago
Evaluate the expression 2m + n for m = 10 and n = 8.
Eduardwww [97]
2m + n 
2(10) + 8
the answer is 28
3 0
4 years ago
The ratio of hot dogs to hamburgers is 26:13. If the total number of lunch items is 117 how many hamburgers are there?
Lana71 [14]

If the total number of lunch items is 117, there will be 39 hamburgers there

<h3>Ratio and proportion</h3>

Fractions are written as a ratio of two numbers

Given

Total items = 117

If the ratio of hot dogs to hamburgers is 26:13, then the total hamburgers that are there is given as:

Hamburgers = 13/39 * 117
Hamburgers = 39

This shows that if the total number of lunch items is 117, there will be 39 hamburgers there

Learn more on ratio here: brainly.com/question/2328454

#SPJ1

7 0
2 years ago
Solve the following compound inequality. Graph the solutions.<br> x&lt;3 and x &gt; -3
ad-work [718]

Answer:

they are same

Step-by-step explanation:

3 0
4 years ago
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