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OlgaM077 [116]
3 years ago
6

Joanna has been saving for retirement for 40 years. She made monthly deposits of $275 and earned 5.6% annual interest, compounde

d monthly. According to her account documents, after these 40 years, she has a balance of $491,730.35 in her account. How much of this did Joanna contribute and how much of this is interest?
Mathematics
1 answer:
ryzh [129]3 years ago
6 0

Joanna deposited $132000 and her interest amount is $359730.35

<u>Step-by-step explanation:</u>

Monthly deposit = $275

Interest = 5.6%

Time = 40 years

After 40 years her account balance = $491730.35

If she deposit $275 monthly then after 40 years she will have deposited ,

= 275 x 12 x 40

= $132000

The remaining is her interest amount.

Interest amount = 491730.35 - 132000

= $359730.35

Joanna deposited $132000 and her interest amount is $359730.35

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Which quantities are NOT constant in uniform circular motion? Select all that apply.. . Answer 1. Angular Velocity. 2. Angular p
bagirrra123 [75]
The quantities that are not constant in uniform circular motion are : 

1. Angular Velocity  , the direction keep changing in angular velocity so it's not constant

2. Angular position,  theta will keep on changing until it reach 360

3. Direction of centripetal acceleration

hope this helps
4 0
3 years ago
Please help asap....
Andrei [34K]

Find the area of the total circle and when you find that area, multiply it by 145/360 for that is how much of the circle that area is.

Area of circle, \pir^2 and 13.69 times 3.14 is 42.9866. Then multiply by 145/360 to get about 17.3 inches squared.

7 0
3 years ago
Please help! I've been working on this for a few days and I just don't understand, it's due in a few hours. Thank you.
never [62]

Answer:

Part A: α = arc tan (y/x) = tan⁻¹ (y/x)

Part B: quadrant II α = arc tan (- y/x) = arc (- tan (y/x)) = - tan⁻¹ (y/x) 180°>α>90°

            quadrant III α = arc tan (-y)/(-x) = arc tan (y/x) = tan⁻¹ (y/x) 270°>α>180°

            quadrant IV α = arc tan (- y/x) = arc (- tan (y/x)) = - tan⁻¹ (y/x) 360°>α>270°

Part C: quadrant II 180°>α>90°  α = tan⁻¹ (-6/1) = - tan⁻¹ 6 = 180° - 80.53° = 99.47°

Step-by-step explanation:

PART A:

In this case we will use trigonometric function tanα to calculate angle α:

tanα = y/x => α = arc tan (y/x) = tan⁻¹ (y/x)

This formula is use in general way and in first quadrant  90°>α>0°

Part B:

But in the other quadrants you must know to use unit circle to reduce angle from II, III and IV quadrant to the first quadrant.

If angle is in the quadrant II  180°>α>90° then

tanα = - tan (180°-α)

If angle is in the quadrant III  270°>α>180° then

tanα = tan (α-180°)

If angle is in the quadrant IV  360°>α>270° then

tanα =- tan (360°-α)

Part C:

vector w (x,y) = (-1,6) this vector lies in quadrant II      180°>α>90°

180°- α = tan⁻¹ (-6/1) = - tan⁻¹ 6 = 80.53°  => 180° - α = 80.53°

α = 180° - 80.53 = 99.47°

It's not easy to understand this, but it's not easy for me to explain.

God with you!!!

5 0
3 years ago
Pls help me with A, B, C
Mariulka [41]

Answer:

a. is 3

Step-by-step explanation:

(1/3)* (6+3) = 3

6 0
3 years ago
Which amount is a reasonable tip for an airport skycap? $2 total $2 per bag $5 per bag $10 per bag
Allushta [10]
Hey there!

Every bag is $2

Hope I helped!!

Let me know if you need anything else!

~ Zoe
3 0
3 years ago
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