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Mekhanik [1.2K]
3 years ago
7

What is interest earned on 3500 invested at 6% compounded quarterly or 12 years

Mathematics
1 answer:
enyata [817]3 years ago
6 0
\bf \qquad \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}\to &\$3500\\
r=rate\to 6\%\to \frac{6}{100}\to &0.06\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four}
\end{array}\to &4\\
t=years\to &12
\end{cases}
\\\\\\
A=3500\left(1+\frac{0.06}{4}\right)^{4\cdot 12}\implies A=3500(1.015)^{48}

so, the interest earned then will be  A - 3500.
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The graph of f(x) = (x – 8)^3 + 4, is the parent graph [g(x) = x^3] transformed 8 units to the right, and transformed 4 units up
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3 years ago
Which statement is true about the equation? 3y-6x=-3
Mekhanik [1.2K]
<span>B.When x=-4, y=-9 and when x=2, y=3.

</span><span>3y-6x=-3
3(-9) - 6(-4)= -3
-27 +24 =-3
-3 = -3

</span>
<span>3y-6x=-3
3(3) -6 (2) = -3
9 - 12 = -3
-3 = -3
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8 0
3 years ago
What is the area of Georgia rounded to the nearest square mile, The is square mile as 59,424.77?
bazaltina [42]

Answer:

59,425 sq mi

Step-by-step explanation:

When you want to round to the units place, you look at the digit in the number that is in the place to the right of that: the tenths place. Here, that digit is 7, which is more than 4. Because that digit is more than 4, 1 is added to the units place and all the digits to the right of that are dropped.

This gives you 59,424 +1 = 59,425.

_____

If the tenths digit were 4 or less, no change would be made to values in the units place or to the left of that. The tenths digit and digits to the right would be dropped.

... 59,424.3 ⇒ 59,424 . . . . . for example

7 0
3 years ago
Grayson biked 45 miles in 3 hours. Maya biked 26 miles in 2 hours. If they both kept a constant speed, how much faster did Grays
pantera1 [17]

Answer:

Grayson biked at a speed of 15 mph. Maya biked at a speed of 13 mph.

Grayson biked 2 mph faster than Maya.

Step-by-step explanation:

45/3 = 15

26/2 = 13

6 0
3 years ago
Please help ASAP!!! Thank you so much!!! Just want confirm my answer it is y=150x-50. A concession stand at a football game took
jekas [21]

Answer: You have the correct answer. It is y = 150x-50

Nice work on getting the correct answer. For anyone curious, the explanation is below.

=============================================

x = number of hours the stand is open

y = amount earned

(1,100) is from the fact the stand is open 1 hour and earns $100

(3,400) is due to the stand earning $400 after 3 hours.

Slope Formula

m = (y2 - y1)/(x2 - x1)

m = (400-100)/(3-1)

m = 300/2

m = 150 is the slope, and it is the amount earned per hour. It is the rate of change.

Use m = 150 and (x,y) = (1,100) to find the value of b as shown below

y = mx+b

100 = 150(1) + b

100 = 150 + b

100-150 = b

-50 = b

b = -50 is the y intercept and it is the starting amount they earn. The negative earning indicates that they spent $50 to set up the stand, which is the cost of buying the food, equipment, etc.

So we have m = 150 as the slope and b =  -50 as the y intercept.

Therefore, y = mx+b turns into y = 150x-50.

-------

As a check, plugging in x = 1 should lead to y = 100

y = 150x-50

y = 150(1)-50

y = 150-50

y = 100 and indeed it does

The same should be the case with (3,400). Plug in x = 3 and we should get y = 400

y = 150x-50

y = 150(3)-50

y = 450-50

y = 400, we have confirmed the answer by showing that the line y = 150x-50 goes through the two points (1,100) and (3,400).

3 0
3 years ago
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