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Vika [28.1K]
4 years ago
8

A man has $ 10,000 to invest. He invests $ 4000 at 5 % and $ 3500 at 4 %. In order to have a yearly income of $ 500, he must inv

est the remainder at:
(a) 6 % , (b) 6.1 %, (c) 6.2 %, (d) 6.3 %, (e) 6.4 %
Mathematics
1 answer:
Pani-rosa [81]4 years ago
3 0

Hello again!

when he invested $4000 at 5% he increased his income from 0 to 200

adding 4% of 3500 increased it by 140

totaling to $340

he has $2500 left. and he needs $160 more income

160 is 6.4% of 2500

so he needs to invest the remaining $2500 at 6.4% to get the last $160

of his income

I hope this helps, and have a nice day!

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Are these polygons similar ? Explain why or why not.
expeople1 [14]

Answer:

Yes, the polygons are similar.

Step-by-step explanation:

A similar polygon is a polygon that shares the same scale factor as another polygon. A scale factor is a number you can multiply each side by to get a similar figure,


Step 1:

Divide a few of the sides. You do not need to divide every side to find the ratio, but do at least 2 or 3 to guarantee that the scale factor remains the same throughout the sides. Let’s divide a few pairs of sides.

27/18=1.5

30/20=1.5

21/14=1.5

Step 2:

To really be safe, even though we can clearly tell this is a similar figure, is we can multiply each side on the right figure by 1.5, our scale factor, and see if we generate the sides on the left figure.

18*1.5=27

20*1.5=30

14*1.5=21

And this is why the polygons are similar :)

4 0
2 years ago
The length of a rectangle is six times its width. If the perimeter of the rectangle is 98 yd , find its area.
kumpel [21]
P=2(W + L)
p= 2W + 2L
98=2W + 2(6W)
98=2W + 12W
98=W
98/14=14W/14
W=7

L= 6W
L = 6(7)
L= 42

CHECK
p=2(7 +42)
p=2(49)
p= 98

Area of a rectangle = W X L
Area of a rectangle = 7 X 42
Area of a rectangle = 294
4 0
3 years ago
Michelle draws a card from a standard deck of 52 cards. She replaces the card and draws a second card. What is the probability t
erma4kov [3.2K]
To draw a heart, one would be choosing 1 card of 13 possible hearts, and 0 from the remaining 39 non-hearts. With respect to the entire deck, one would be choosing 1 card from 52 total cards. So the probability of drawing a heart is

\dfrac{\dbinom{13}1\cdot\dbinom{39}0}{\dbinom{52}1}=\dfrac{13\cdot1}{52}=\dfrac14

When Michelle replaces the card, the deck returns the normal, so the probability of drawing any card from a given suit is the same, \dfrac14. In other words, drawing a spade is independent of having drawn the heart first.

So the probability of drawing a heart, replacing it, then drawing a spade is \dfrac14\cdot\dfrac14=\dfrac1{16}.
4 0
3 years ago
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How to find the recursive formula?
Alex787 [66]
Did you find your answer
4 0
3 years ago
Would this be Side Side side
kifflom [539]

Answer:

yes

Step-by-step explanation:

6 0
3 years ago
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