Question 50.

a. Description

You walk 0.5 miles during 10 minutes, stop and wait for the bus during 4 minutes, then ride the bus for 2 miles during 4 minutes.

b. slopes

the slope of each line represents the average speed of every track.

1) first track

slope = 0.5 miles / 10 minutes = 0.05 miles / minutes.

Given that the slope is constant, you walked at a constant speed of 0.05 miles/minute.

2) second track

slope = 0 => you didn,t move (you were waiting the bus)

3) third track

slope = (2.5 - 0.5) miles / (18 min - 14 min) = 2 miles / 4 min = 0.5 miles / min

means the speed of the bus was constant and equal to 0.5 miles / min.

6 0

3 years ago

A sum of money is invested at 12% compounded quarterly. About how long will it take for the amount of money to double?

iVinArrow [24]

I'll use my own formula (similar to yours tho)

$A=P(1+ \frac{r}{n})^{nt}$
A=future amount
p=invested
r=rate in decimal
n=number of times per year compounded
t=time in years

so
when will A=2P
subsitute 2P for A
also quarterly means 4 times a year or n=4
and 12%=0.12=r
so

$2P=P(1+ \frac{0.12}{4})^{(4*t)}$
divide both sides by P
$2=(1+ \frac{0.12}{4})^{(4*t)}$
simplify
$2=(1+ 0.03)^{4t}$
$2=(1.03)^{4t}$
take the ln of both sides
$ln(2)=ln(1.03)^{4t}$
$ln(2)=4tln(1.03)$
$ln(2)=t(4ln(1.03))$
divide both sides by 4ln(1.03)
$\frac{ln(2)}{4ln(1.03)}=t$
use calculator
5.86244=t
about 5.9 years

4 0

3 years ago

Read 2 more answers

What is (8/9)divided by (6/7) and simplified

bazaltina [42]

Answer:

(28/27)

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers