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Anastasy [175]
3 years ago
7

Suppose you invest $400 at an annual interest rate of 7.6% compounded continuously. How much will you have in the account after

1.5 years? Round the solution to the nearest dollar.
Mathematics
1 answer:
likoan [24]3 years ago
6 0
\bf ~~~~~~ \textit{Compounding Continuosly Interest Earned Amount}\\\\
A=Pe^{rt}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$400\\
r=rate\to 7.6\%\to \frac{7.6}{100}\to &0.076\\
t=years\to &1.5
\end{cases}
\\\\\\
A=400e^{0.076\cdot 1.5}\implies A=400e^{0.114}
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How to estimate to the nearest tens 671×32
aleksandrvk [35]

20, 100

Step-by-step explanation:

You look at the tens column, in this case the numbers would be "7" in the "671" and the "3" in the "32". If you're rounding the tens column you look at the ones column and if the number is bellow 5 you round down, if its 5 nd over you round up. Since the number is 1 in the ones column that means the 7 will round down so it would be "670", for "32" the number is "2" (which is bellow 5) so we will round down again to "30". This will leave you with the equation 670×30 which is 20, 100.

8 0
2 years ago
How do you express the ratio 3.5 : 2.5 in its simplest form?
marishachu [46]

Answer:

2.5×2=5

3.5×2=7

RATIO OF 2.5 AND 3.5 IS EQUAL TO 5:7

PLZZ MARK MY ANSWER BRAINIEST

Step-by-step explanation:

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3 years ago
Please help!! MATH | WILL MARK BRAINLIEST!! 40 POINTS
madreJ [45]

Answer:

y = 9 cos [(⅕pi)x]

Step-by-step explanation:

Amplitude = 9

Period = 10

2pi/10 = pi/5

3 0
3 years ago
2748 mile flight 6 hours
Karo-lina-s [1.5K]
We Know, speed = Distance / Time
Here, Distance = 2748 miles
Time = 6 hours

Substitute their values in to the expression,
Speed = 2748 / 6 = 458 Miles / Hour

So, the speed would be: 458 miles/hour

Hope this helps!
7 0
3 years ago
-5x-18y=-28 and -10x+9y=-11 solve elimination
Dmitry [639]

Answer:

\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}

x=2,\:y=1

Step-by-step explanation:

Given the equations

-5x-18y=-28

-10x+9y=-11

solving the system of the equation by elimination method

\begin{bmatrix}-5x-18y=-28\\ -10x+9y=-11\end{bmatrix}

\mathrm{Multiply\:}-5x-18y=-28\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-10x-36y=-56

\begin{bmatrix}-10x-36y=-56\\ -10x+9y=-11\end{bmatrix}

-10x+9y=-11

-

\underline{-10x-36y=-56}

45y=45

\begin{bmatrix}-10x-36y=-56\\ 45y=45\end{bmatrix}

solve 45y=5 for y:

45y=45

\frac{45y}{45}=\frac{45}{45}

y=1

\mathrm{For\:}-10x-36y=-56\mathrm{\:plug\:in\:}y=1

solve -10x-36\cdot \:1=-56 for x:

-10x-36\cdot \:1=-56

-10x-36=-56

Add 36 to both sides

-10x-36+36=-56+36

-10x=-20

\frac{-10x}{-10}=\frac{-20}{-10}

x=2

\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}

  • x=2,\:y=1
5 0
3 years ago
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