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stira [4]
3 years ago
9

How much money should be invested at 5% interest, compounded quarterly, so that 7 years later the investment will be worth $5000

? This amount is called the present value of $5000 at 5% interest.
Mathematics
1 answer:
vampirchik [111]3 years ago
8 0
\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\to &\$5000\\
P=\textit{original amount deposited}\\
r=rate\to 5\%\to \frac{5}{100}\to &0.05\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, four times}
\end{array}\to &4\\
t=years\to &7
\end{cases}
\\\\\\
5000=P\left(1+\frac{0.05}{4}\right)^{4\cdot 7}\implies 5000=P(1.0125)^{28}\\\\\\ \cfrac{5000}{(1.0125)^{28}}=P
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You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute?
Korvikt [17]

Answer:

3520.176 feet per minute

Step-by-step explanation:

First, we must convert 40 miles per hour (mph) to miles per minute (mpm):

40 mph = 40 miles/hour / 60 minutes/hour = 0.6667 miles per minute

Next, we convert miles per minute to feet per minute by multiplying 5280 ft per mile:

0.6667 mpm = 0.6667 miles/minute * 5280 ft/mile = 3520.176 feet per minute

8 0
2 years ago
Segment A'B' is parallel to segment AB.<br>What is the length of segment AB?
Nonamiya [84]

Answer:

7.5

Step-by-step explanation:

5/6=x/9

cross multiply

6x=45

x=45/6

x=7 3/6 = 7 1/2 = 7.5

7 0
3 years ago
ASAP - 15 points
Reptile [31]

Answer:

A) 2b+24x

Step-by-step explanation:

7b+3x-5b+21x

7b-5b+3x+21x

2b+3x+21x

2b+24x

8 0
2 years ago
If the volume of a sphere is 660 mm, what is the radius of the sphere, to the nearest tenth of a millimeter?
n200080 [17]

Answer:

Radius= 5.4

Step-by-step explanation:

Formula for Sphere- V= 4/3(pi)• r^3

r=(3 V/4 pi) = (3•660/4•pi)= 5.40114 (5.4)

5 0
2 years ago
What values for q (0 ≤q≤2π)<br> satisfy the equation?<br><br> 22√sin q + 2 = 0
Vesna [10]
Answer:
\frac{3 \pi }{4} , \frac{7 \pi }{4}

Explanation:
2√2 sin(q) + 2 = 0
2√2 sin(q) = -2
sin(q) = \frac{-2}{2 \sqrt{2} }
sin(q) = \frac{- \sqrt{2} }{2}

Now, we know that:
sin (45) = \frac{ \sqrt{2} }{2}

From the ASTC rule, we know that the sine function is negative in the third and fourth quadrant.
This means that:
either q = 90 + 45 = 135° which is equivalent to \frac{3 \pi }{4}
or q = 270 + 45 = 315° which is equivalent to \frac{7 \pi }{4}

Hope this helps :)
6 0
3 years ago
Read 2 more answers
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