MATHEMATICS MIDDLE SCHOOL

What amount of money accumulate to $680.57 in 83 days at 4.6%?

Answers

Answer 1

Answer:

Answer:

$P=\$65,062.35$

Step-by-step explanation:

we know that

The simple interest formula is equal to

$I=P(rt)$

where

I is the interest 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

$t=(83/365)\ years\n P=?\n I=\$680.57\nr=0.046$

substitute in the formula above

$680.57=P(83/365)(0.046)$

$680.57*365=P(83)(0.046)$

$P=680.57*365/[(83)(0.046)]$

$P=\$65,062.35$

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The tires on your bicycle have a diameter of 20 inches. How many rotations does each tire make when you travel 500 feet? Round your answer to the nearest whole number.

Answers

A tire is a circle, therefore:

1) we have to calculate the circumference of this circle (tire of this bycicle)
C=dπ
diameter=20 in
C=20π in.

1 rotation=20π in

2)we convert 500 ft to in
1 foot=12 in;

1 foot------------------12 in
500 feet--------------- x

x=(500 ft * 12 in) / 1 foot=6000 in.

3) Now, we calculate the number of rotations:
1 rotation=20π in≈20*3.141592654... in≈62.93 in,

1 rotation--------------62.93 in
x--------------------------6000 in

x=(1 rotatiton * 6000 in) / 62.93 in≈95.5 rotations≈96 rotations.

Answer: 96 rotations.

Answer:96

Step-by-step explanation:

If f(x) = 3x + 2, find f(4)