Answer:
y=(x-6)^2-13
Step-by-step explanation:
Answer: 11
Step-by-step explanation:
c(4)=-7+6(4-1)
c(4)= -7 + 6(3)
c(4)= -7 +18
c(4)= 11
Answer:
Zachary invests $470 into the account that earns 5% simple interest. At the end of 2 years, the account balance is $517
Step-by-step explanation:
I took the test
Answer:
Option D
Step-by-step explanation:
Given question is incomplete; here is the complete question.
Asako deposits $1000 into a bank that pays 1.5% interest compounded annually. Which inequality can she use to determine the minimum time in years 't' she needs to wait before the value of the account is 20% more than its original value?
A. 1000 . 1.01t > 1200
B. 1000 . 1.01t > 1.2
C. 
D. 
Formula to get the final amount by compounding is,
Final amount = 
Here, r = rate of interest
n = number of compounding in a year
t = Time or duration of investments (In years)
Initial amount = $1000
Final amount = 20% more than its original value = $(1000 + 0.2×1000) = $1200
r = 1.5% = 0.015
Inequality that represents the final amount 20% more than the initial value,
> 1200
> 1.2
Therefore, Option D will be the correct option.
Answer:
$17,277.07
Step-by-step explanation:
Present value of annuity is the present worth of cash flow that is to be received in the future, if future value is known, rate of interest is r and time is n then PV of annuity is
PV of annuity = ![\frac{P[1-(1+r)^{-n}]}{r}](https://tex.z-dn.net/?f=%5Cfrac%7BP%5B1-%281%2Br%29%5E%7B-n%7D%5D%7D%7Br%7D)
= ![\frac{3000[1-(1+0.10)^{-9}]}{0.10}](https://tex.z-dn.net/?f=%5Cfrac%7B3000%5B1-%281%2B0.10%29%5E%7B-9%7D%5D%7D%7B0.10%7D)
= ![\frac{3000[1-(1.10)^{-9}]}{0.10}](https://tex.z-dn.net/?f=%5Cfrac%7B3000%5B1-%281.10%29%5E%7B-9%7D%5D%7D%7B0.10%7D)
= ![\frac{3000[1-0.4240976184]}{0.10}](https://tex.z-dn.net/?f=%5Cfrac%7B3000%5B1-0.4240976184%5D%7D%7B0.10%7D)
= 
= 
= 17,277.071448 ≈ $17,277.07