Answer:
1137.
Step-by-step explanation:
8^3 = 8 times 8 times 8 (you multiply 8 by itself three times).
8 * 8 = 64.
64 * 8 = 512.
So 8^3 = 512.
5^4 = 5 times 5 times 5 times 5 (you multiply 5 by itself four times).
5^4 = 625.
We are left with 512 + 625.
512 + 625 = 1137.
Answer:
£4867.2
Step-by-step explanation:
Given data
P= £4500
T=2 years
R= 4%
The compound interest expression
A=P(1+r)^t
substitute
A= 4500(1+0.04)^2
A=4500(1.04)^2
A=4500*1.0816
A=£4867.2
Hence the balance is £4867.2
Answer:
Step-by-step explanation:
Given : An automobile manufacturing plant produced 30 vehicles today: 10 were sedans, 9 were vans, and 11 were trucks.
Number of combinations of n things taking r at a time :
Number of ways to choose two vehicles out of 30 vehicles :-
Number of ways to choose two trucks out of 11 vehicles :-
Now, the the probability that two trucks will be selected will be :-
<h3>
Answer: h(x) = 2x^2-2</h3>
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Explanation:
We shift the graph of g upward by 3 units. This means we add 3 onto g(x) like so
h(x) = g(x)+3
h(x) = (2x^2-5)+3
h(x) = 2x^2-5+3
h(x) = 2x^2-2
All points on g(x) move up by 3 units to get to a point on h(x). For instance, the y intercept (0,-5) on g(x) moves to (0,-2) on h(x).
When we say something like g(x)+3, we effectively mean y+3 to indicate an upward shift of 3 units. Recall that y = g(x) because they are both outputs.