What do I put in the boxes if the answer is 1.74%?
1 answer:
If a credit card advertises an annual interest rate of 23%, then the equivalent monthly interest rate is 1.74%
The annual interest rate = 23%
The credit card interest rate the amount you have to pay to borrow the money from them. The credit card interest rate is usually expressed in yearly rate. This is called annual percentage rate.
The monthly interest rate =
=
= 1.0174
Then,
= (1.0174-1) × 100%
Subtract the terms first
= 0.0174 × 100%
Multiply it
= 1.74%
Hence, if a credit card advertises an annual interest rate of 23%, then the equivalent monthly interest rate is 1.74%
Learn more about annual percentage rate here
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Answer:
y = 3/4x - 2
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Slope Formula:
Step 1: Define
(0, -2) y-intercept
(4, 1) random point
Step 2: Find slope <em>m</em>
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y = 3/4x + b
Step 3: Write linear equation
y = 3/4x - 2
Answer:
(i) see first attached diagram
(ii) QR = 22.67 km (2 dp)
(iii) 243°
Step-by-step explanation:
A bearing is the angle in degrees measured clockwise from north.
<u />
<u>Part (i)</u>
see first attached diagram
<u>Part (ii)</u>
The angles marked in blue on the second attached diagram are Consecutive Interior Angles. In this case they add to 180° as the North lines are parallel.
The sum of angles around a point is 360°
⇒ m∠QPR (shown in red on the second attached diagram) = 360 - 150 - (180 - 15) = 45°
To calculate the distance between Q and R (marked in red on the attached diagram), use the cosine rule.
⇒ QR² = PR² + QP² - 2(PR)(QP)cos(QPR)
⇒ QR² = 32² + 24² - 2(32)(24)cos(45)
⇒ QR² = 513.8839841...
⇒ QR = √513.8839841...
⇒ QR = 22.67 km (2 dp)
<u>Part (iii)</u>
We need to find the angle marked in green on the third attached diagram.
To do this, we need to find the angle marked in pink and the angle marked in orange, then subtract them from 360°
Pink angle = 180 - 150 = 30° (using the same consecutive angle theorem as before)
Orange angle (o) using the sine rule:
⇒ sin(o)/32 = sin(45)/QR
⇒ sin(o) = 32sin(45)/22.67
⇒ sin(o) = 0.9981652337...
⇒ o = 86.52868176...°
Therefore, the green angle = 360 - 30 - 86.52868176... = 243° (nearest degree)
