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fiasKO [112]
3 years ago
8

Tom opens a bank account and makes an initial deposit of $500. The banker tells Tom that he is going to revive an annual rate of

6% on his investment. Find the bank balance assuming Tom leaves the account untouched for 15 years.
Mathematics
2 answers:
daser333 [38]3 years ago
5 0

So for this you will be using an exponential equation, which is y=ab^x with a=initial value, b=growth/decay, y = total balance, and x = # of years


In this case, a = 500, and since with this problem the initial value is growing, you will add 100% to 6% to get 106%, or 1.06. The equation will be formed as such: y=500(1.06)^x


With this problem, just plug in 15 into x and solve for y: y=500(1.06)^{15}\\ y=1198.28


In short, after 15 years Tom will have $1198.28 in his account.

Vedmedyk [2.9K]3 years ago
5 0

Answer:

Tom will have $1,198.28 in 15 years

Step-by-step explanation:

A(t) = P(1 + r/n)^nt

A(15) = 500(1 + 0.06/1)^1(15)

A(15) = 500(1.06)^15

A(15) = 500(2.3965581931)

A(15) = 1198.27909655

A(15) = 1198.28

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Which of these is NOT an integer
Tema [17]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

Option A

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

\boxed{\text{Option A:}}\\\\3^{-5}\\\\\rightarrow \frac{1}{3^5}\\\\\rightarrow  \frac{1}{243}\\\\\ \text{This is \textbf{NOT} an integer.}}

⸻⸻⸻⸻

\boxed{\text{Option B:}}\\\\-3^5\\\\\rightarrow -3 * -3 * -3 * -3 * -3 \\\\\rightarrow \boxed{-243}\\\\\\\text{This \textbf{IS} an integer.}

⸻⸻⸻⸻

\boxed{\text{Option C:}}\\\\\frac{1}{3}^{-5} \\\\\rightarrow \frac{1}{(\frac{1}{3})^5}\\\\\rightarrow \frac{1}{\frac{1}{243} }\\\\\rightarrow \boxed{243}\\\\\\\text{This \textbf{IS} an integer.}

⸻⸻⸻⸻

\text{Option \textbf{A} does not simplify into an integer.}

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

7 0
2 years ago
30 points plus brainliest if you get it right with step by step explanation.
Leto [7]

Answer:

a. 150

b. y=150x+1200

Step-by-step explanation:

a. 1350-1200=150

b. if he opened it in 2005 he started his tutoring fee at 1200 that makes 1200 the y intercept

8 0
3 years ago
Find the surface area of this rectangular prism: Don't forget to show the unit of measure.
Ann [662]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the attachment of the prism is not given.

From the attachment:

L =10cm -- Length

W = 4cm -- Width

H=5cm -- Height

Required

Determine the volume

So, the volume is:

Volume = Length * Width (* Height

Volume = 10cm * 4cm * 5cm

Volume = 200cm^3

8 0
3 years ago
Корень x-5=корень 3-x
Firlakuza [10]
√(x-5) = √(3-x)
|x-5| = |3-x|
x-5= 3-x
2x = 8
x=4
4 0
3 years ago
The length of a rectangle is 5 more than twice the width. the perimeter is 130 inches. what is te area
Brut [27]
The length of a rectangle:
L =  2 W  + 5
The perimeter:
P = 2 L + 2 W
130 = 2 · ( 2 W + 5 ) + 2 W
130 = 4 W + 10 + 2 W
130 - 10 = 6 W
120 = 6 W
W = 120 : 6
W = 20 in
L = 2 · 20 + 5
L = 40 + 5
L = 45 in.
Finally the area:
A = L · W
A = 20 · 45
A = 900 in²
3 0
3 years ago
Read 2 more answers
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