Answer:
The amount invested at 5% was $39,000 and the amount invested at 7% was $11,000
Step-by-step explanation:
we know that
The simple interest formula is equal to

where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
Let
x-----> the amount invested at 5%
50,000-x -----> the amount invested at 7%
so

substitute in the formula above

solve for x



therefore
The amount invested at 5% was $39,000 and the amount invested at 7% was $11,000
Answer:
p-e< p < p+e
(0.061 - 0.025) < 0.061 < (0.061 + 0.025)
0.036 < 0.061 < 0.086
Step-by-step explanation:
Given;
Confidence interval CI = (a,b) = (0.036, 0.086)
Lower bound a = 0.036
Upper bound b = 0.086
To express in the form;
p-e< p < p+e
Where;
p = mean Proportion
and
e = margin of error
The mean p =( lower bound + higher bound)/2
p = (a+b)/2
Substituting the values;
p = (0.036+0.086)/2
Mean Proportion p = 0.061
The margin of error e = (b-a)/2
Substituting the given values;
e = (0.086-0.036)/2
e = 0.025
Re-writing in the stated form, with p = 0.061 and e = 0.025
p-e< p < p+e
(0.061 - 0.025) < 0.061 < (0.061 + 0.025)
0.036 < 0.061 < 0.086
If one move is 325 and there's 3 moves you have to multiply them together to get 975 but since the submarine is going down its a negative integer so the answer would be -975
Answer:
x=3
y=0
i hope this helps:)
Step-by-step explanation:
Answer:
A. 16 m
B. At t = 2 and t = 6
C. 8 seconds
Step-by-step explanation:
Maximum height is at the vertex
(4,16). So maximum height is 16 m at t = 4
The rocket is at a height of 12m at two distinct times:
At 2 seconds and again at 6 seconds
The rocket is in air when the height is not zero, I.e between t=0 and t=8
8-0 = 8 seconds