Answer:
(1)
compound amount = 802.5 $
invest earned = 52.5 $
Step-by-step explanation:
total amount = 10000 $
let amount x invested in ventures A and remaining (1000-x) on ventures B
now,
6x/100 +23/400(1000-x ) = 588.75
{24x+23(1000-x)}/400 =588.75
x=235500-230000
x=5500
Amount invested on A = 5500$
Amount invested on B = 4500$
(2)
principle=750$
time= 1 year
effective invest rate = 7%
a) compound amount = p(1+(r/w)^t
=750{1+(7/100)}^1
=802.5$
b) invest earned = 802.5-700 = 52.5$
Answer:

Step-by-step explanation:
In this graph, we have the coordinate point (
). Without translations, cos(0) = 0, which means that the graph is shifted to the right by
. We also know that the graph is shifted down by 1 because we have the point
(
), but accounting for the right shift, this point should really by (
). cos(
) = -1, but on the graph it is -2, meaning that it is shifted down by 1.
Therefore, accounting for the right shift by
and the shift down by 1, our equation is
.
Answer:
The null hypothesis is
.
The alternative hypothesis is 
Step-by-step explanation:
Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years.
At the null hypothesis, we test if the mean is of 2.5 years, that is:

A study was then done to see if the mean time has increased in the new century.
At the alternative hypothesis, we test if the mean has increased, that is, if it is above 2.5 years. So

Answer:
Step-by-step explanation:
<u>We know that:</u>
<u>Solution:</u>
- 3 miles = 45 minutes
- => 1 mile = 45/3 minutes
- => 5 miles = 45/3 x 5
- => 5 miles = 15 x 5
- => 5 miles = 75 minutes
Hence, it takes 75 minutes for Jim to walk 5 miles.