Answer:
$62,490.65
Step-by-step explanation:
If we assume her deposits are at the beginning of the month, and that the interest is compounded monthly, the future value is that of an "annuity due." The formula is ...
FV = P(1+r/n)((1+r/n)^(nt)-1)/(r/n)
where r is the APR (.0276), n is the number of yearly compoundings (12), P is the monthly payment ($280), and t is the number of years (15). Putting the numbers into the formula and doing the arithmetic, we get ...
FV = $280(1.0023)(1.0023^180 -1)/(.0023) ≈ $62,490.65
Angelica's account balance after 15 years will be $62,490.65.
_____
If her deposits are at the end of the month, the balance will be $62,347.25.
Answer:
1. The larger number is 2x + 7. The smaller number is x.
Let x be the smaller number
(7 + 2x) + x = 43
Since they are all in addition, we can get rid of the parenthesis.
7 + 2x + x = 43
2x and x are similar variables, we can add them both together.
7 + 3x = 43
7 + (-7) + 3x = 43 + (-7)
3x = 36
3x/3 = 36/3
x = 12
Let's check
[7 + 2(12)] + 12
(7 + 24) + 12
31 + 12 = 43
Answer:
one pound per dinosaur
Step-by-step explanation:
Answer:
c. $467.29
Step-by-step explanation:
The total of balances is $9360. The payment can be computed using the amortization formula:
A = P(r/12)/(1 -(1 +r/12)^-n)
where A is the monthly payment, P is the principal (total balance), r is the annual rate, and n is the number of months.
Filling in your numbers, we have ...
A = $9360(0.18/12)/(1 -(1 +0.18/12)^-24) ≈ $467.29
Frank's monthly credit card payment will be $467.29.
as you may already know, to get the inverse of any expression, we start off by doing a quick switcheroo on the variables, and then solve for "y".
![\bf \stackrel{f(x)}{y}=x^3-9\implies \stackrel{\textit{quick switcheroo}}{\underline{x}=\underline{y}^3-9}\implies x+9=y^3\implies \sqrt[3]{x+9}=\stackrel{f^{-1}(x)}{y}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bf%28x%29%7D%7By%7D%3Dx%5E3-9%5Cimplies%20%5Cstackrel%7B%5Ctextit%7Bquick%20switcheroo%7D%7D%7B%5Cunderline%7Bx%7D%3D%5Cunderline%7By%7D%5E3-9%7D%5Cimplies%20x%2B9%3Dy%5E3%5Cimplies%20%5Csqrt%5B3%5D%7Bx%2B9%7D%3D%5Cstackrel%7Bf%5E%7B-1%7D%28x%29%7D%7By%7D)
