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riadik2000 [5.3K]
2 years ago
10

Sophie has $40 in an account. The interest rate is 5% compounded annually. To the nearest cent, how much interest will she earn

in 3 years? $
Mathematics
2 answers:
Tamiku [17]2 years ago
6 0

Answer:

$ 6.31

Step-by-step explanation:

The TOTAL amount in the account in 3 years will be

40 ( 1+.05)^3 = 46.31

  subtract the orignal 40 deposit to get the interest =6.31

alexdok [17]2 years ago
3 0

~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$40\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &3 \end{cases}

A=40\left(1+\frac{0.05}{1}\right)^{1\cdot 3}\implies A\approx 46.31~\hfill \underset{earned~interest}{\stackrel{46.31~~ - ~~46}{\approx 6.31}}

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If Morgan drinks 4 glasses of 12 ounces of water, then she drinks 48 fluid ounces throughout the day. There are 16 ounces in one pint. That means, Morgan drinks 3 pints of water!
3 0
3 years ago
The curves r1(t) = 4t, t2, t3 and r2(t) = sin(t), sin(5t), 2t intersect at the origin. find their angle of intersection, θ, corr
san4es73 [151]
First get the tangent vectors by differentiating r1 and r2 
r_1 '(t) = (4,2t,3t^2) \\  \\  r_2'(t) = (cos (t), 5 cos(5t), 2)
Evaluate at t=0
r_1' = (4,0,0) \\  \\ r_2' = (1,5,2)

Use identity for angle between 2 vectors:
u*v = |u| |v| cos \theta

Evaluate dot product and unit vectors:
u*v = (4,0,0)*(1,5,2) = 4 \\  \\ |u| = \sqrt{4^2 +0^2+0^2} = 4 \\  \\ |v| = \sqrt{1^2 + 5^2+2^2} = \sqrt{30}

Sub into identity and solve for theta:
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Answer:
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5 0
4 years ago
The dollar value of a car is a function f, . of the number of years, t, since the car was purchased. Thefunction is defined by t
Fofino [41]

Given the following question:

f(t)=12000\times(\frac{3}{5})^t

Part A:

I believe that the 12,000 tells us the orginal price of the car, or the price the car was purchased for. 12000 is the orginal price of the car.

Part B:

I believe that the 3/5 tells us the decline in value each year after the car has been purchased. Which is why t is the exponet is t was 2 you would have to multiply 3/5 by itself twice and then multiply it by 12000 which further decreases it's value. 3/5 represents the decline in value after T years.

Part C:

t = number of years

t = 3

\begin{gathered} f(t)=12000\times\frac{3}{5^{}}^3 \\ \frac{3}{5}^3=\frac{3}{5}\times\frac{3}{5}\times\frac{3}{5} \\ \frac{3}{5}\times\frac{3}{5}=\frac{9}{25} \\ \frac{9}{25}\times\frac{3}{5}=\frac{27}{125} \\ 12000\times\frac{27}{125}=2592 \\ v=2592 \end{gathered}

Value of the car after three years will be 2592.

4 0
2 years ago
Will give brainliest!!!!!! Please help!!!!!!!
timofeeve [1]

Answer:

Likely

Step-by-step explanation:

There are only 2 odd numbers so you’re more likely to get an even number than an odd one.

4 0
3 years ago
What is -15x +44= -1
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5 0
3 years ago
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