1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kompoz [17]
3 years ago
13

James knows that he eventually wants to buy a motorcycle, and the model he has in mind costs $5,000. He has found a bank that wi

ll let him open a saving account with 7% interest that is compounded monthly. If he wants to buy his motorcycle in 5 years (he's still nervous), how much money should he invest in the account now
Mathematics
1 answer:
svetlana [45]3 years ago
4 0

Answer:

3527

Step-by-step explanation:

Using our compound interest formula we can plug in all of our given values and solve for P.

A(t)=P(1+r/n)^nt

5,000=P(1+0.07/12)^12(5)

P=5000/(1+0.07/12)^60

P≈$3,527

You might be interested in
What percentage describes the probability of an impossible event
stich3 [128]
50% chance
Explanation
It’s possible... might might not happen
7 0
2 years ago
The sets L and B are given below.
trapecia [35]

L= (-2, 2, 8) \\ B= (-2, 1, 2, 4, 8) \\ L \: n \: B \:  =  \: ( - 2, 2, 8) \\ L \: u \: B = ( - 2, 2, 1, 4, 8)

7 0
3 years ago
What is the derivative of x times squaareo rot of x+ 6?
Dafna1 [17]
Hey there, hope I can help!

\mathrm{Apply\:the\:Product\:Rule}: \left(f\cdot g\right)^'=f^'\cdot g+f\cdot g^'
f=x,\:g=\sqrt{x+6} \ \textgreater \  \frac{d}{dx}\left(x\right)\sqrt{x+6}+\frac{d}{dx}\left(\sqrt{x+6}\right)x \ \textgreater \  \frac{d}{dx}\left(x\right) \ \textgreater \  1

\frac{d}{dx}\left(\sqrt{x+6}\right) \ \textgreater \  \mathrm{Apply\:the\:chain\:rule}: \frac{df\left(u\right)}{dx}=\frac{df}{du}\cdot \frac{du}{dx} \ \textgreater \  =\sqrt{u},\:\:u=x+6
\frac{d}{du}\left(\sqrt{u}\right)\frac{d}{dx}\left(x+6\right)

\frac{d}{du}\left(\sqrt{u}\right) \ \textgreater \  \mathrm{Apply\:radical\:rule}: \sqrt{a}=a^{\frac{1}{2}} \ \textgreater \  \frac{d}{du}\left(u^{\frac{1}{2}}\right)
\mathrm{Apply\:the\:Power\:Rule}: \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1} \ \textgreater \  \frac{1}{2}u^{\frac{1}{2}-1} \ \textgreater \  Simplify \ \textgreater \  \frac{1}{2\sqrt{u}}

\frac{d}{dx}\left(x+6\right) \ \textgreater \  \mathrm{Apply\:the\:Sum/Difference\:Rule}: \left(f\pm g\right)^'=f^'\pm g^'
\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(6\right)

\frac{d}{dx}\left(x\right) \ \textgreater \  1
\frac{d}{dx}\left(6\right) \ \textgreater \  0

\frac{1}{2\sqrt{u}}\cdot \:1 \ \textgreater \  \mathrm{Substitute\:back}\:u=x+6 \ \textgreater \  \frac{1}{2\sqrt{x+6}}\cdot \:1 \ \textgreater \  Simplify \ \textgreater \  \frac{1}{2\sqrt{x+6}}

1\cdot \sqrt{x+6}+\frac{1}{2\sqrt{x+6}}x \ \textgreater \  Simplify

1\cdot \sqrt{x+6} \ \textgreater \  \sqrt{x+6}
\frac{1}{2\sqrt{x+6}}x \ \textgreater \  \frac{x}{2\sqrt{x+6}}
\sqrt{x+6}+\frac{x}{2\sqrt{x+6}}

\mathrm{Convert\:element\:to\:fraction}: \sqrt{x+6}=\frac{\sqrt{x+6}}{1} \ \textgreater \  \frac{x}{2\sqrt{x+6}}+\frac{\sqrt{x+6}}{1}

Find the LCD
2\sqrt{x+6} \ \textgreater \  \mathrm{Adjust\:Fractions\:based\:on\:the\:LCD} \ \textgreater \  \frac{x}{2\sqrt{x+6}}+\frac{\sqrt{x+6}\cdot \:2\sqrt{x+6}}{2\sqrt{x+6}}

Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions
\frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c} \ \textgreater \  \frac{x+2\sqrt{x+6}\sqrt{x+6}}{2\sqrt{x+6}}

x+2\sqrt{x+6}\sqrt{x+6} \ \textgreater \  \mathrm{Apply\:exponent\:rule}: \:a^b\cdot \:a^c=a^{b+c}
\sqrt{x+6}\sqrt{x+6}=\:\left(x+6\right)^{\frac{1}{2}+\frac{1}{2}}=\:\left(x+6\right)^1=\:x+6 \ \textgreater \  x+2\left(x+6\right)
\frac{x+2\left(x+6\right)}{2\sqrt{x+6}}

x+2\left(x+6\right) \ \textgreater \  2\left(x+6\right) \ \textgreater \  2\cdot \:x+2\cdot \:6 \ \textgreater \  2x+12 \ \textgreater \  x+2x+12
3x+12

Therefore the derivative of the given equation is
\frac{3x+12}{2\sqrt{x+6}}

Hope this helps!
8 0
2 years ago
Can you please help for 10 points
VARVARA [1.3K]

Hello!

First of all, we can see that our y-intercept is 0. As you can see, for every 1 x value, we have 3 y values. We divide, giving us a slope of 3.

Therefore, our equation is y=3x.

I hope this helps!

7 0
3 years ago
Read 2 more answers
What is 8+5+9+2+4+5+8+41+/8
Pavel [41]
The answer is 46.125 hope this helped :)
7 0
2 years ago
Read 2 more answers
Other questions:
  • The diameter of a circle is 10 meters. What is the area of the circle? (Use 3.14 for Pi and round to the nearest tenth.
    12·2 answers
  • Number one on wednesdsay <br>90&gt;-9(w+3)
    5·1 answer
  • Mary roller skates with a constant speed of 8 km/h. How long will she take to travel a distance of 16 kilometres?
    14·1 answer
  • Free brainlest if u help pls
    11·1 answer
  • Solve the simultaneous equation
    5·2 answers
  • Find the circumfrance and the area of a circle with a 5 ft radius. Use the value 3.14
    13·1 answer
  • Traingle PQR is shown below a rotation of 180 about point M followed by a dilation centered at M with scale factor 2 is applied
    10·1 answer
  • Tasha wants to graph a line that is parallel to the line with equation y = 3x. Give two examples of linear equations that repres
    5·1 answer
  • If the dot product of two nonzero vector v1 and v2 is zero, what dose this tell us
    11·2 answers
  • Which of the following it true about √3x2
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!