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3 years ago

PLEASE HURRY!!!

Mathematics

2 answers:

schepotkina [342]3 years ago

6 0

9514 1404 393

Answer:

d. 76(cos(3π/16) +i·sin(3π/16))

Step-by-step explanation:

To form the product of 38cis(π/8) and 2cis(π/16), multiply the magnitudes and add the angles:

38cis(π/8) × 2cis(π/16) = (38×2)cis(π/8 +π/16) = 76cis(3π/16)

___

In this context, a·cis(b) ≡ a(cos(b) +i·sin(b))

Allisa [31]3 years ago

5 0

Answer:

Can confirm, the correct answer is D

Step-by-step explanation:

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Pls I need help someone pls help me

marta [7]

I think it’s 7.14 or atleast that’s what I got

7 0

3 years ago

Read 2 more answers

Nia and Trey both had sore throats, so their mom told them to gargle with warm salt water. Nia mixed 1 teaspoon salt with 3 cups

Harrizon [31]

Answer:

Each mixture has the same amount of salt for every 1 cup of water.

Step-by-step explanation:

It is provided that:

Nia mixed 1 teaspoon salt with 3 cups warm water.
Trey mixes 1 /2 teaspoon salt with one and 1/2 cups warm water.

The ratio of the number of teaspoons of salt to the number of cups of water is 1 : 3 in Nia's solution.

On dividing the amount of salt and the amount of water by 3, the ratio will be the same.

$\text{Salt}: 1\div3=\frac{1}{3}\\\\\text{Water}:3\div3=1\\$

Thus 1 : 3 is equivalent to the ratio $\frac{1}{3}:1$ , which means that Nia's solution has $\frac{1}{3}$ teaspoon of salt for every cup of water.

The ratio of the number of teaspoons of salt to the number of cups of water is $\frac{1}{2}:1\frac{1}{2}$ in Trey’s solution.

On dividing the amount of salt and the amount of water by $1\frac{1}{2}$ , the ratio will be the same.

$\text{salt}:\frac{1}{2}\div 1\frac{1}{2}=\frac{1}{3}\\\\\text{Water}:1\frac{1}{2}\div1\frac{1}{2}=1$

So Trey’s ratio is also equal to the ratio $\frac{1}{3}:1$ .

Since each mixture has the same amount of salt for every 1 cup of water, they are equally salty and taste the same.

4 0

3 years ago

Solve for X<br><br> 8 + x = 15

german

X = 7

I hope this help

3 0

3 years ago

Read 2 more answers

Mathew is watching a car race on TV. His favorite car covered 10 laps of 3.6 miles each in 18 minutes. What is average speed of

Karo-lina-s [1.5K]

In the given question, all the necessary information's are already provided. Using these information's it is easy to find the average speed of the car in miles per hour. It is given that the car covers 10 laps in 18 minutes and each lap is 3.6 miles in length.
Total distance covered by the car = (10 * 3.6) miles
   = 36 miles
Now we have to convert the time from minutes to hours. So
18 minutes = 18/60 hours
   = 3/10 hours
Now we can easily calculate the average speed of the favorite car of Mathew.
Average Speed = 36 * (10/3) miles/hour
   = 120 miles/ hour

8 0

3 years ago

11. Twyla and Tony have a 30/5 balloon mortgage for $389,900 with a rate of 4.85%. How much will they pay in interest over the l

kykrilka [37]

Answer:

Explanation:

Twyla and Tony with a balloon mortgage of 30/5 will make constant payments over the space of 5 years and then complete the bulk balloon payment for 25 years remaining.

Given mortgage loan value of $389900

Interest rate of 4.85%

We are asked to calculate the interest over the life of the loan.

We will calculate interest by calculating constant payments over the period of 5 years before balloon payment is due and adding them together then subtracting the mortgage loan given $389900

Formula for constant payments :

A= P×r×r(1+r)^n/(1+r)^n-1

Where A= constant/monthly payments

r= interest rate on the mortgage loan

n= number of payments = 30×12= 360

P= mortgage loan given

A= $389900×0.0485×0.0485(1+0.0485)^360/(1+0.0485)^360-1

=$389900×0.0485×1231340.79/25388468.94

=$389900×0.0485×0.04850

A= $917.142

Payment for five years(with interest)= $917.142×60= $55028.52

Calculate balloon payment:

FV= PV(1+r)^n - P((1+r)^n-1/r)

Where FV= future value of balloon payment

PV= initial loan given

r= interest rate on loan

n= number of payments

P= monthly payments

Substitute:

FV= $389900(1+0.0485/12)^60-917.142((1+0.0485/12)^60-1/0.0485/12)

=$389900×1.2738-917.142(0.2738/0.004041)

=$389900×1.2738-917.142×67.756

= 496654.62-62141.87

FV = $434512.75

Therefore total payment made with interest over the life of the loan= balloon payment+ constant payments for five years= $434512.75+$55028.52

6 0

3 years ago