WHAT IS THE FORMULA FOR 1,OOO DOLLARS WITH 5% INTEREST COMPOUNDED FOR 8 YEARS

Mathematics

1 answer:

stellarik [79]2 years ago

7 0

Answer:

Is it compounded monthly, weekly, yearly, or continuously?

Step-by-step explanation:

then the formula would be P=A/(1+r/n)^tn where r is interest rate as a decimal, A is the initial value, t is the time and n is the number of times compounded in a unit 't'. Plugging in the values, we would get 1000/(1+.05/1)^8(1)=$1477.46

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how large is the acceleration of a 60 kg runner if the friction between her shoes and the pavement is 500 n?

melomori [17]

The force of friction is given in the scenario:

Force = 500 Newton

and the mass of the runner is 60 kg

To find the acceleration we need to use the relation between force, mass, and the acceleration of the object:

$F=m\times a$

Where 'F' represents the force, 'm' represents the mass, and 'a' represents the acceleration.

Plugging the value of variables we get:

$500=60\times a$

Solving for 'a' (acceleration) we get:

$a= \frac{500}{60} =8.33$ Newton/kilogram or meters/ second squared

So the acceleration of the runner is 8.33 meters/ second squared.

8 0

3 years ago

You find 72 coins consisting only of nickels, dimes, and quarters, with a face value of $10.20. However, the coins all date from

Oliga [24]

Answer:

You have found 24 nickels.

Step-by-step explanation:

Let N be the number of nickles, D be the number of dimes and Q be the number of quarters. The number of coins and their face values are given by the following expressions, respectively:

$N+D+Q=72\\0.05N+0.10D+0.25Q=10.20$

As of now we have three variables and two expressions, the final expression needed to solve the linear system is given by the amount offered by the coin dealer:

$10N+20D+15Q=1,060$

Solving the linear system:

$N+D+Q=72\\5N+10D+25Q=1,020\\10N+20D+15Q=1,060\\\\10N-10N+20D-20D+15Q-50Q=1,060-(2*1,020)\\-35Q=-980\\Q=28\\\\5N-10N+10D-10D+25Q-10Q=1,020-720\\-5N+15Q=300\\-5N=300-(15*28)\\N=24$