Original APR = 10.22% compounded monthly.
Original effective interest rate, compounded monthly
= (1+(0.1022/12))^12
= 1.10712576
Original effective interest rate, compounded daily
= (1+(0.1022/365)^365
= 1.107589126
Difference in rate due to compounding periods
= 1.107589126 - 1.10712576
= 0.00046336
= 0.04634%
<em><u>Answer:</u></em>
<u>x = 1, XZ = 48</u>
<em><u>Step-by-step explanation:</u></em>
So you already have the diagram with the number labeled,
4(x + 5) and 2(x + 11)
We know that Y is the midpoint between X and Z so we know that XY = YZ:
4(x + 5) = 2(x + 11)
Let's solve the equation for x:
4x + 20 = 2x + 22 (Distributive Property)
Subtract 20 from both sides:
4x = 2x + 2
Subtract 2x from both sides:
2x = 2
Divide both sides by 2:
<u>x = 1</u>
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So now we know that x = 1, we want to find XZ:
XZ = 4(x + 5) + 2(x + 11)
We can plug in x (1):
XZ = 4(1 + 5) + 2(1 + 11)
Simplify:
XZ = 4(6) + 2(12)
XZ = 24 + 24
<u>XZ = 48</u>
Step 1: Prioblem
Estimate the difference of 765 and 333. Explain your estimate.
Step 2: Concept and Method
Difference mean to subtract the smaller number from larger number.
Therefore,
Step 3: Final answer
= 432
Answer:
1850
Step-by-step explanation:
You would set up a proportion that 2/100 = 37/x. You would cross multiply and get 2x = 3700. You would then divide 3700 by 2 and get 1850.
So to find average, we add up the values, and divide it by how many values there are in total.
27 + 12 + 31 + 19 + 23 + 11 + 17 = 140.
There are 7 numbers. Which means we divide 140 by 7.
140 / 7 = 20 is the average.
Also, if you notice, most of the numbers "kind of" circulate around 20.
