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Firlakuza [10]
3 years ago
7

Suppose you invest 1,600 at an annual interest rate of 7.9% compounded continuously. How much will you have in the account after

10 years
Mathematics
1 answer:
Elina [12.6K]3 years ago
6 0

\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad  \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to& \$1600\\ r=rate\to 7.9\%\to \frac{7.9}{100}\to &0.079\\ t=years\to &10 \end{cases} \\\\\\ A=1600e^{0.079\cdot 10}\implies A=1600e^{0.79}\implies A\approx 3525.434

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For the question I just asked
guajiro [1.7K]

Answer:

a = 36

Step-by-step explanation:

We use pythagoras theorem here.

h = 60

p = 48

b = a

h² = p² + b²

60² = 48² + b²

3600 = 2304 + b²

b² = 3600 - 2304

b² = 1296

b = 36

7 0
3 years ago
on Thursday, 30 students went to after-school tutoring. On Friday, 6 students went. What is the percent decrease in the number o
joja [24]
Hey there! :)

The answer is 80%

6 ÷ 30 = 0.2 = 20%

100 - 20 = 80

Hope this helped :)
4 0
3 years ago
5m-8=2m+2 <br><br> what does m equal
vesna_86 [32]

Answer:

m = 10/3

<em>(as a decimal: m = 3.333...)</em>

<em />

Step-by-step explanation:

5m - 8 = 2m + 2

 5m - 8 = 2m + 2

- 2m       - 2m              <em>(make all "m" on one side to isolate variable)</em>

 3m - 8 = 2    

      + 8 + 8              <em>(get m entirely on 1 side)</em>

3m = 10

÷3      ÷3                         <em>(divide by 3 to get 1m)</em>

m = 10/3

<em>(as a decimal: m = 3.333...)</em>

<em />

<em />

hope this helps!! have a lovely day :)

5 0
2 years ago
Simplify 32 ⋅ 35. (4 points)<br><br> 37<br><br> 310<br><br> 97<br><br> 910<br> Pllllsssss help
postnew [5]

Answer:

what the heck is that i rhink you mess up

4 0
3 years ago
The function f(t) = 3(1 + 0.5)^nt models the weight in pounds of an alligator each year from its birth. Based on the function, w
masha68 [24]
<h2>Hello!</h2>

The answer is: 50% (0.5)

<h2>Why?</h2>

Exponential growth equations are use to predict the growth (in function of time) using proportional information.

We can calculate the exponential growth using the following formula:

y=S(1+r)^{t}

Where,

S, is the starting value

r, is the growth rate

t, is the time

So, we are given the function:

f(t) = 3(1 + 0.5)^{nt}

Where,

f(t), is the function,

3, is the starting value (lb)

0.5 (50%) is the growth rate

nt, is the time elapsed.

Hence,

From the given function, we know that the growth rate is equal to 0.5, and it's equal to 50%.

We can turn the growth rate given in real numbers to percent value by multiplying by 100

GrowthRate(Percentage)=0.5*100=50(Percent)

So, the growth rate is 50%.

Have a nice day!

5 0
3 years ago
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