It’s -7/2
If it’s wrong I’ll correct it in the comments
Answer:
Domain: real numbers greater than or equal to -3
Range: equal to -4, 2 and 3
Step-by-step explanation:
A calculator says,
a) account balance: $208.12, so interest earned = $8.12
b) account balance: $1040.60, so interest earned = $40.60
c) account balance: $83,248.32, so interest earned = $3,248.32
_____
The compound interest multiplier for one year is (1 +r/n)^n, where r is the annual rate and n is the number of compoundings in a year. For this problem, you have r=.04, n=4.
Answer:
x = 6, y = 5
Step-by-step explanation:
5x - 4y = 19 -------> equation 1
x + 2 = 8 --------> equation 2
<u>Step 1</u> : Subtract 2 on both sides in equation 2.
x + 2 - 2 = 8 - 2
x = 6
<u>Step 2</u> : Substitute the value of x is equation 1.
5 ( 6 ) - 4y = 19
( 5 * 6 ) - 4y = 19
30 - 4y = 10
<u>Step 3</u> : Subtract 30 on both sides.
30 - 30 - 4y = 10 - 30
- 4y = - 20
<u>Step 4</u> : Multiply - 1 on both sides.
- 1 * - 4y = - 1 * - 20
4y = 20
<u>Step 5</u> : Divide 4 on both sides.
4y / 4 = 20 / 4
y = 5
<u>Hence</u>,
x = 6
y = 5
Answer: Choice A
L = 65 - 15d; discrete
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Explanation:
He starts with 65 cm of bread. After the first day he has 65-15 = 50 cm left over. After the second day he has 65-15*2 = 35 cm left over, and so on.
In general, he has 65-15d centimeters left over after d number of days have elapsed. For example, if d = 3 days pass by, then he has 65-15d = 65-15*3 = 65-45 = 20 cm left over.
So that's why the equation we're after is L = 65-15d where d is the number of days, and L is the amount left over in cm.
The number of days is discrete because we're dealing with the set of nonnegative numbers {0,1,2,3,4,...}. We can't have d = 2.5 for instance.
Because the input variable d is discrete, this automatically means L is discrete as well. Consider a finite domain such as {0,1,2,3}. This finite domain would map to the finite range {65,50,35,20}. These two finite sets are sufficient to say we have a discrete function.
A discrete function leads to a discrete graph which is simply a set of points. You would <u>not</u> connect the dots to form a straight line (simply leave the points as separate islands).
