Answer:
x = 1, y = 2
Step-by-step explanation:
In the elimination method to solve a system of linear equations, one of the two equations is added/subtracted to the other, in order to eliminate one variable from the equation.
In this problem, we have the following two equations:
To solve the system, first we multiply by 2 both sides of the second equation, and we get:
So now the system is
Now we add the two equations, and we get:
So, we get
Now we can substitute this value of y into the eq.(2), and we get:
the loan is being amortized, so that doesn't matter for its future value, the simple case that the borrower is paying it in bits monthly.
so, we're really just looking for the future value of the Principal $15000, let's convert theat mixed fraction to improper fraction, and then to a percent format firstly.
![\bf \stackrel{mixed}{2\frac{3}{4}}\implies \cfrac{2\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{11}{4}}\implies \stackrel{decimal}{2.75} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B3%7D%7B4%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%204%2B3%7D%7B4%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B11%7D%7B4%7D%7D%5Cimplies%20%5Cstackrel%7Bdecimal%7D%7B2.75%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20~~~~~~%20%5Ctextit%7BCompound%20Interest%20Earned%20Amount%7D%20%5C%5C%5C%5C%20A%3DP%5Cleft%281%2B%5Cfrac%7Br%7D%7Bn%7D%5Cright%29%5E%7Bnt%7D)
how did we get 4811/4800? well, is really just the 1+(0.0275/12), which gives us about 1.0022917 but is a repeating decimal, so 4811/4800 is just the fraction version of it.
Loga x=n ⇔a^n=x
Therefore:
log₄ (x+20)=3
3⁴=x+20
64=x+20
x=64-20
x=44
Answer: x=44
Answer:
The system of inequalities that models the situation is
Step-by-step explanation:
Given:
Total number of banana bread and nut bread must be atmost 30
Cost of one banana bread = $2.50
Cost of one nut bread = $2.75
Kona wants to make at least $44
To Find:
The system of inequalities models the situation
Solution:
Let the number of banana bread loaves be x
Let the number of nut bread loaves be y
Then kona wants to make at most 3 loaves of bread,
So
-----------------(1)
Then By selling one banana braed to $2.50, and each loaf of nut bread sells for $2.75,Kona wants to make at least $44.
---------------------(2)
