Simplify: 45÷3+2×8-12+30
2 answers:
You might be interested in
Answer:
$29,721
Step-by-step explanation:
We have been given that Wyatt is investing money into a savings account that pays 2% interest compounded annually, and plans to leave it there for 15 years. We are asked to find the amount deposited by Wyatt in order to have a balance of $40,000 in his savings account after 15 years.
We will use compound interest formula to solve our given problem.
, where,
A = Final amount after T years,
P = Principal amount,
r = Annual interest rate in decimal form,
n = Number of times interest is compounded per year,
T = Time in years.
Let us convert our given interest rate in decimal form.
Upon substituting our given values in compound interest formula, we will get:
Switch sides:
Upon rounding our answer to nearest dollar, we will get:
Therefore, Wyatt will have to invest $29,721 now in order to have a balance of $40,000 in his savings account after 15 years.
Answer:
(- 2, 15 ) and (2, 7 )
Step-by-step explanation:
Given the 2 equations
y = 3x² - 2x - 1 → (1)
2x + y = 11 → (2) ← subtract 2x from both sides
y = 11 - 2x → (3)
Substitute y = 3x² - 2x - 1 into (3)
3x² - 2x - 1 = 11 - 2x ( subtract 11 - 2x from both sides )
3x² - 12 = 0 ( add 12 to both sides )
3x² = 12 ( divide both sides by 3 )
x² = 4 ( take the square root of both sides )
x = ± = ± 2
Substitute these values into (3) for corresponding values of y
x = - 2 : y = 11 - 2(- 2) = 11 + 4 = 15 ⇒ (- 2, 15 )
x = 2 : y = 11 - 2(2) = 11 - 4 = 7 ⇒ (2, 7 )
we are given
we can find
we can distribute it
we can plug values
and we get
now, we can plug bounds
and we get
................Answer