Mathematics: Marking as brainiest a company deposits $10,000 in a bank account that earns 5% interest each year. write an inequality that could be used to determine the number of years, n, that it will take for the account to have at least $15,000.

2.64 - 1.9 zStep-by-step explanation:...

Marking as brainiest a company deposits $10,000

elijahdecent6070

05.01.2022

The inequality that represent this situation is $10,000(1+0.05n) \geq 15,000$

The minimum number of years is 10

Step-by-step explanation:

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=n\ years\\ P=\$10,000\\A\geq \$15,000\\r=5\%=5/100=0.05$

substitute in the formula above

$10,000(1+0.05n) \geq 15,000$

Solve for n

$(1+0.05n) \geq 1.5$

$0.05n \geq 1.5-1$

$0.05n \geq 0.5$

$n \geq 10$

therefore

The minimum number of years is 10

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