Let's start by solving the first equation.
a) -3 = 7 + 2t/3
To begin simplifying this equation, we should multiply both sides by 3 to get rid of the denominator on the right side of the equation.
-9 = 7 + 2t
Next, we should subtract 7 from both sides to cancel out the 7 on the right side.
-16 = 2t
Finally, we should divide both sides by 2.
t= -8
Now let's move on to the next equation.
b) 4(5x-2) = 7(2x+3)
Let's use the distributive property to get rid of the parentheses and their coefficients.
20x-8 = 14x + 21
Now, lets subtract 14x from both sides of the equation.
6x - 8 = 21
Next, let's add 8 to both sides of the equation.
6x = 29
And divide both sides by the coefficient of x, which is 6.
x = 29/6 or 4 5/6
Now for the last equation.
C) 2x - 6 = 20 - 2.5x
First, we should add 2.5x to both sides to cancel out the -2.5x on the right side of the equation.
4.5x - 6 = 20
Now, let's add 6 to both sides to get the variable term alone.
4.5x = 26
Finally, we should divide both sides by 4.5 to get x by itself.
x = 5 7/9
Hope this helps! :)
Answer:
The future value of loan amount after 4 months is $ 34,695.136
Step-by-step explanation:
Given as :
The loan principal = $ 34300
The rate of interest applied = 3.5 %
The time period = 4 months =
year
Let The amount after 4 months = $ A
<u>From compounded method</u>
Amount = Principal × ![(1+\dfrac{\textrm Rate}{100})^{Time}](https://tex.z-dn.net/?f=%281%2B%5Cdfrac%7B%5Ctextrm%20Rate%7D%7B100%7D%29%5E%7BTime%7D)
or, Amount = 34300 × ![(1+\dfrac{\textrm 3.5}{100})^{\frac{1}{3}}](https://tex.z-dn.net/?f=%281%2B%5Cdfrac%7B%5Ctextrm%203.5%7D%7B100%7D%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D)
or, Amount = 34300 × ![(1.035)^{\frac{1}{3}}](https://tex.z-dn.net/?f=%281.035%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D)
or, Amount = 34300 × 1.01152
∴ Amount = $ 34,695.136
Hence The future value of loan amount after 4 months is $ 34,695.136 Answer
40 choices for 1st slot
39 for 2nd (1 less)
38 for 3rd
40*39*38=59280 ways
<em><u>in </u></em><em><u>traingle</u></em><em><u> </u></em><em><u>ABC </u></em><em><u>and </u></em><em><u>traingle</u></em><em><u> </u></em><em><u>KTD </u></em>
<em><u>AB </u></em><em><u>=</u></em><em><u> </u></em><em><u>KT</u></em>
<em><u> </u></em><em><u> </u></em><em><u>BC </u></em><em><u>=</u></em><em><u> </u></em><em><u>TD</u></em>
<em><u> </u></em><em><u> </u></em><em><u>AC </u></em><em><u>=</u></em><em><u> </u></em><em><u>KD</u></em>
<em><u>now </u></em><em><u>about </u></em><em><u>angle </u></em>
<em><u>angle </u></em><em><u>A </u></em><em><u>=</u></em><em><u> </u></em><em><u>k</u></em>
<em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u>angle </u></em><em><u>B </u></em><em><u>=</u></em><em><u> </u></em><em><u>T</u></em>
<em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u> </u></em><em><u>angle </u></em><em><u>C </u></em><em><u>=</u></em><em><u> </u></em><em><u>D </u></em>
<em><u>hope</u></em><em><u> it</u></em><em><u> helps</u></em>
Answer: The answer would be A : t=0.55m+12;$21.90