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Alla [95]
3 years ago
14

A bank account earns 2.5% interest per year. If the account starts with $500, approximately how many years will it take for the

value of the account to be $750?
Mathematics
1 answer:
belka [17]3 years ago
4 0

Answer:

Step-by-step explanation:

Since we have an amount in the future of 750, we are going to use Future value formula; FV = PV (1+r)^t

where PV= Initial amount deposited

r= interest rate or discount rate

t = total duration of the investment

FV= 750

PV=500

r = 2.5% or 0.025 as a decimal

t = ?

Next, plug in the numbers into the formula;

750 = 500* (1+0.025)^t

divide both sides by 500;

750/500 = 1.025^t

Introduce <em>ln</em> on both sides

ln 1.5 = ln 1.025^{t}

ln 1.5 = t ln 1.025

0.4054651 = 0.0246926 t

Divide both sides by 0.0246926 to solve for t;

0.4054651/0.0246926 = t

t = 16.42

Therefore it will take 16.42 years

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Answer:

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f(x)=x^2+2x

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A runner was timed at 4 miles per hour. how many feet per minute did they run?​
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3 years ago
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HELP QUICK HAVE 5 MINS
Illusion [34]

m = 4b+3  mikes age

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The triangles below are similar. By what ratio was triangle XYZ enlarged by to create triangle LMN? Use this information to calc
aliina [53]

Answer:

Ratio: 3:2

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Step-by-step explanation:

"similar" means that all the angles are the same and the sides were all increased by the same proportion.

Thus, we know that MN/YZ = LM/XY = NL/ZX

First, we need to find the ratio. To do this, we write MN/YZ as a fraction, and simplify.

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12 * 3/2 = 18, so LN = 18.

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