Answer:
Total amount that Matthew's bank will receive is $10099.81.
Step-by-step explanation:
We need to find the amount Matthew's bank will receive after lending him $8,000 for four years at an interest rate of 6 percent, compounded annually.
The formula for compound interest is:

Where A = future value
P= Principal Amount
r = interest rate
and n= time
So in the question we are given:
P= $8000
r = 6% or 0.06
t = 4 (since 4 yeras compounded annually)
A= 8000*(1+0.06)^4
A= 8000*(1.06)^4
A= 10099.81
So, total amount that Matthew's bank will receive is $10099.81.
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Answer:
Domain: (-∞, ∞)
Range: [-1, ∞)
Step-by-step explanation:
This is an absolute-value function. (Graphed below) The vertex is at (-3, -1) which consists of the minimum y-value of the function. Therefore:
Domain: (-∞, ∞)
Range: [-1, ∞)
Answer:
z = 3
Step-by-step explanation:
Since the points are collinear then the slopes between the points are equal.
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = P (2, - 3) and (x₂, y₂ ) = Q (3, - 2)
m =
= 1
Repeat with
(x₁, y₁ ) = Q (3, - 2) and (x₂, y₂ ) = R (8, z )
m =
=
, then
= 1 ( multiply both sides by 5 )
z + 2 = 5 ( subtract 2 from both sides )
z = 3
Answer: 14.7 grams
Step-by-step explanation:
Given : Henry has two pixie sticks full of delicious sugar.
Each pixie stick has 22 grams of sugary goodness.
Then, Total sugary goodness in 2 pixie sticks= 
Total persons = 3 [Including himself]
If he divides 2 sticks evenly among 3 persons , then the amount of sugary goodness each persons will receive
= Total sugary goodness in 2 pixie sticks divided by 3
grams
Hence, He will share 14.7 grams of sugary goodness with each of his friends.
The inequality that represents the possible ways nina can eat 12 or more grams of protein is 2x + 3y ≥ 12
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more number and variables.
Let x be the number of cheese squares that she eats and y is the number of turkey slices that she eats. If nina can eat 12 or more grams of protein, hence:
2x + 3y ≥ 12
The inequality that represents the possible ways nina can eat 12 or more grams of protein is 2x + 3y ≥ 12
Find out more on equation at: brainly.com/question/2972832
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