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krok68 [10]
3 years ago
14

You have ​$75 in your bank account. Each week you plan to deposit ​$7 from your allowance and ​$20 from your paycheck. The equat

ion bequals75plus​(20plus7​)w gives the amount b in your account after w weeks. How many weeks from now will you have ​$235 in your bank​ account?
Mathematics
1 answer:
suter [353]3 years ago
3 0
In 6 weeks you will have 237
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nirvana33 [79]

Answer:

DGF = 106

Step-by-step explanation:

Bisects means to divide in half, with two equal parts

DGF = DGE + EGF

DGE = EGF

DGF = DGE + DGE

DGF = 53+53

DGF = 106

8 0
3 years ago
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Two people start from the same point. One walks east at 4 mi/h and the other walks northeast at 8 mi/h. How fast is the distance
kvasek [131]

Answer:

5.89 mi/h

Step-by-step explanation:

This problem can be solved by using different methods. I will use vectors since it's the simplest way in which we can solve it. This can be solved by using related rates of change though.

First, we start by drawing a diagram with the velocity vectors.

A= velocity of the first person

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C= velocity in which they are moving away from each other.

Since there is no acceleration in the problem, we can suppose we are talking about constant speeds, so the velocity at which they are moving away from each other will always remain constant. (It doesn't matter what time it is, the velocity will always be the same)

Having said this we can solve this problem by using the components, by using law of cosines or graphically. I will use law of cosines. The idea is to find the length of side c.

Law of cosines:

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so we can solve the formula for C so we get:

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and now we can substitute the values we know:

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C=\sqrt{16+64-32\sqrt{2}}

C=\sqrt{80-32\sqrt{2}} mph

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C=5.89 mph

4 0
3 years ago
Is Jeff correct or incorrect?
bulgar [2K]
Jeff is correct because:

2 sides of a triangle must always be longer than the other side, so:

12+8>19
19+8>12
12+19>8

Since all of them are true, Jeff is correct
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rodikova [14]
5/12 < 3/6
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3 years ago
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Drupady [299]
Rewrite the equation in exponential form, use the definition of a log and then simplify and you should get x= e^4/12 or 4.55
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3 years ago
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