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Anna11 [10]
2 years ago
10

Solve the inequality 2(4x-3)>-3(3)+5x

Mathematics
1 answer:
Sholpan [36]2 years ago
5 0

Answer:

x > -1\\

Step by step explanation:

~~~~~2(4x-3) > -3(3)+5x\\\\\implies 8x-6 > -9+5x\\\\\implies 8x > -9+6+5x\\\\\implies 8x > -3+5x\\\\\implies 8x -5x > -3\\\\\implies 3x > -3\\\\\implies x > -\dfrac 33\\\\\implies x > -1

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A $7,600 par value bond sells for $7,373 . The coupon rate is 5.30% . What is the current yield
marta [7]

Answer:

Current yield = 5.46%

Step-by-step explanation:

Current yield is calculated by dividing the annual income (coupon) on the bond divided by the current price of the bond

Current  yield = Annual coupon / Current price

In this case,

Face value or Par value = $7,600

Price of the bond = $7,373 (shows it is a discount bond since the price < FV)

Coupon rate = 5.30%

Next, calculate the Coupon payment in dollars;

Annual coupon PMT = Coupon rate * Face value

Annual coupon PMT = 0.053 * 7,600 = $402.8

Therefore, Current Yield = 402.8 / 7,373 = 0.05463

Current yield = 5.46%

5 0
4 years ago
A person came to work at 8:30 am, went out at 11:45 am, had lunch, came in at 12:30 pm, and left at 5:15 pm. How many hours did
Vlad1618 [11]
Hello!

The person started working at 8:30 and stopped at 11:45 for lunch. That means that person worked 1 hour and 15 minutes before taking a lunch break.

The lunch break doesn't count because the person wasn't "working" then.

Next, this person worked from 12:30 to 5:15, which means they worked 4 hours and 45 minutes.

Add this up with the 1 hour and 15 minutes from before:

4 h 45 min + 1 h 15 min = 6 hours

This person worked a total of 6 hours.
8 0
3 years ago
Find the area of the parallelogram
Angelina_Jolie [31]

Answer:

3484 ft^{2}

Step-by-step explanation:

a = bh

a = 67 x 52

a = 3484

6 0
2 years ago
Read 2 more answers
Which function increases the fastest?​
Lapatulllka [165]
Considering we are looking for an increasing function, all negative xs are incorrect, which only leaves A and C left

Because C is a logarithmic function this means it will increase exponentially faster than a standard function like A

So the answer is C
8 0
3 years ago
a fruit punch has three ingredients: apple juice, orange juice and cranberry juice. if 1/3 of the drink is apple juice and 1/2 i
spin [16.1K]

Answer:

1/6:1/3:1/2

Step-by-step explanation:

1/2 is the same as 3/6 and 1/3 is the same as 2/6 so 3/6+2/6=5/6 which means that all the leftover space must be cranberry juice, which is 1/6.

5 0
3 years ago
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