Step-by-step explanation:
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Burrito: 20
hot sauce: 80
taco: 400
Answer:
<u>The balance in the account after 10 years is US$ 2,442.81</u>
Step-by-step explanation:
1. Let's review the data given to us for answering the question:
Investment amount = US$ 2,000
Duration of the investment = 10 years
Annual interest rate = 2% compounded continuously
2. Let's find the future value of this investment after 10 years, using the following formula:
FV = PV * eˣ ⁿ
PV = Investment = US$ 2,000
number of periods (n) = 10 (10 years compounded continuously)
rate (x) = 2% = 0.02
e = 2.71828 (Euler's number)
Replacing with the real values, we have:
FV = 2,000 * (2.71828)^0.02*10
FV = 2,000 * 2.71828^0.2
FV = 2,000 * 1.2214027
<u>FV = US$ 2,442.81</u>
P(A)= 4+5+6= 15/2= 75%
P(B)= 6+4=10 5/10= 50%
P(C)= 5+4=9 6/9= 66.6%
First, we want to subtract the numbers within the parenthesis. However, to do this we must put each number over a common denominator. We can do his by multiplying
6
by the appropriate for of
1
:
2
3
(
6
−
5
6
)
⇒
2
3
(
[
6
6
×
6
]
−
5
6
)
⇒
2
3
(
36
6
−
5
6
)
⇒
2
3
(
31
6
)
Next, we can multiply the two fractions to complete the evaluation of the expression:
2
3
(
31
6
)
⇒
2
3
×
31
6
⇒
2
×
31
3
×
6
⇒
62
18
Now, we can factor the numerator and denominator so we can cancel common terms. This will give the simplest form of the fraction:
2
×
31
2
×
9
⇒
2
×
31
2
×
9
⇒
31
9
Hope this helps
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