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3 years ago

Which values of x are solutions to the inequality? x<−200 Select each correct answer. x=−210 x=−120 x=−200 x=−102 x=−201

Mathematics

1 answer:

lesantik [10]3 years ago

7 0

Answer:

x = - 120 and x = - 102

Step-by-step explanation:

Consider the given values of x less than - 200

these are x = - 120 and x = - 102

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Henry buys a large boat for the summer, however he cannot pay the full amount of $32,000 at

Anna007 [38]

Answer:

Monthly payments=$418.14

Total amount will be=down payment + 48×$418.14

$14000+$20070.84=$34070.84

Step-by-step explanation:

Loan payment per month=Amount to pay÷discount factor

Mathematically P=A÷D

where D is the discount factor calculated using the formula;

$\frac{(1+i)^n-1}{i(1+i)^n}$

where i=periodic interest rate=annual rate divided by number of payment periods

A is the amount to pay after downpayment

P is the loan monthly payment amount

n=number of periodic payments=payments per year times number of years

⇒In this question you find the discount factor then divide the amount remaining to pay with the discount factor to get monthly payments

Given;

Cost of boat=$32000

Down payment=$14000

Loan to pay=$32000-$14000=$18000

Annual rate=5.5%=i=5.5%÷12=0.458%⇒0.00458

Periodic payments, n=4×12=48

Finding the discount factor D;

$D=\frac{(1+i)^n-1}{i(1+i)^n} \\\\\\D=\frac{(1+0.00458)^{48} -1}{0.00458(1+0.00458)^{48} } \\\\\\D=\frac{1.2455-1}{0.005703} \\\\\\D=\frac{0.2455}{0.005703} =43.05$

To get the amount to pay monthly divide the loan to pay with the discount factor

$=\frac{18000}{43.05} =418.14$

Monthly payments=$418.14

Total amount will be=down payment + 48×$418.14

$14000+$20070.84=$34070.84

8 0

3 years ago

The sum of the angles of a triangle is 180 degrees. If one of the acute angles of a right triangle is 52 degrees, what is the me

Arada [10]

Answer:

An equation is $x+52\°+90\°=180\°$

Step-by-step explanation:

Let $x$ be the measure of the unknown acute angle.

According to angle sum property of a triangle, sum of all the angles of a triangle is equal to 180°.

One of the acute angles of a right triangle is equal to 52°.

Also, the triangle is a right angled triangle, one of the angle must be equal to 90°.

$x+52\°+90\°=180\°\\x+142\°=180\°\\x=38\°$

So, an equation is $x+52\°+90\°=180\°$

4 0

3 years ago

7x-x ............................ .

oee [108]

Answer:

Step-by-step explanation:

6 0

4 years ago

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Builtrite has calculated the average cash flow to be $12,000 with a standard deviation of $4,500. What is the probability of a c

UkoKoshka [18]

Answer:

Step-by-step explanation:

Use the normcdf( function on a basic calculator as follows:

normcdf(-1000, 9750, 12000, 4500). Result: 0.307. This is the area under the standard normal curve to the left of 9750.

But we want the area under the standard normal curve to the right of 9750, so we subtract this 0.307 from 1.000, obtaining the desired result: 0.693. This roughly corresponds with the last of the given possible answers, 69.15%.

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3 years ago

What is the volume of a hemisphere with a diameter of 8 inches?

USPshnik [31]

Answer:

Mind if ya brainiest meh

Step-by-step explanation:

The volume of the hemisphere is 1071.78 ft^3

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3 years ago