Answer:
$259 532
Step-by-step explanation:
Step 1. Calculate the monthly payments on a 30-year loan.
The formula for the monthly payment (P) on a loan of A dollars that is paid back in equal monthly payments over n months, at an annual interest rate
of r % is

<em>Data:
</em>
We must express the interest rate on a monthly basis.
i = 6.55 %/yr = 0.545 83 %/mo = 0.005 4583
A = $425 500
n = 360 mo
<em>Calculation:
</em>




P = $2703.46
B. Total Payment (T) after 8 years
T = nP
T = 96 × 2703.46
T = $259 532
Michael will have paid $259 532 at the end of eight years.
Answer:
x=35
Angle measurements of the triangle from least to greatest:
35,40,105
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees.
So we know that 40+3x+x=180.
First step is to combine the like terms on the left hand side:
40+4x=180
Second step is to subtract 40 on both sides.
4x=140
Third step is to divide both sides by 4:
x=35
The angle that is given is the one that is 40 degrees.
So the angle whose measurement is x is really 35 degrees.
The angle whose measurement is 3x is real 3(35)=105 degrees.
In order from least to greatest we have:
35,40,105
If an expression has an equal to sign, it is called an equation.
If it has less than or greater than sign, then it is called inequality.
It is also an inequality if it has greater than or equal to or less than or equal to signs. ( ≥, ≤)
The sum of 1 & x is x+1
This sum is less than 5
So we have
x + 1 < 5
Now y minus 2 means
y - 2
Now it says 3 is less than (y-2)
So we get
3 < y - 2
1)
the sum of 1 and x is less than 5 => x + 1 < 5
2)
3 is less than y minus 2 => 3 < y - 2
Answer:
The answer is: The two shops never charge the same price for sundaes with the same number of scoops.
Step-by-step explanation:
Answer:
<u>The measure of the arc CD = 64°</u>
Step-by-step explanation:
The rest of the question is the attached figure.
It is required to find the measure of the arc CD in degrees.
as shown at the graph
BE and AD are are diameters of circle P
And ∠APE is a right angle ⇒ ∠APE = 90°
∠APE and ∠BPE are supplementary angles
So, ∠APE + ∠BPE = 180°
∠BPE + 90 = 180°
∴ ∠BPE = 180 -90 = 90° ⇒(1)
But it is given: ∠BPE = (33k-9)° ⇒(2)
From (1) and (2)
∴ 33k - 9 = 90
∴ 33k = 90 + 9 = 99
∴ k = 99/33 = 3
The measure of the arc CD = ∠CPD = 20k + 4
By substitution with k
<u>∴ The measure of the arc CD = 20*3 + 4 = 60 + 4 = 64°</u>