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3 years ago

Solve for x:

Mathematics

2 answers:

Nana76 [90]3 years ago

8 0

Answer:

Step-by-step explanation:

PolarNik [594]3 years ago

4 0

(-9/8)x - 7 = -25
(-9/8)x - 7 + 7 = -25 + 7
(-9/8)x = -18
((-9/8)x)/(-9/8) = -18/(-9/8)
x = 18 × (8/9)
x = 16

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A family purchased tickets to a museum and spent a total of $38.00. The family purchased 4 tickets. There was a $1.50 purchasing

Naya [18.7K]

Answer:

4 (x+1.50) = $38.00

Explanation:

The family purchases 4 tickets. Each tickets cost x dollars with a purchase fee of $1.50. So we need to multiply 4 times the sum of x plus $1.50. The total cost of the tickets needs to be $38.00.

8 0

4 years ago

If the purchase price for a house is $218,500, what is the monthly payment if you put 3.5% down for a 30 year loan with a fixed

artcher [175]

218,500 - (3.5% down payment) =
210,852.50
30 years = 360 months
rate 6.5%
Use the loan payment formula (REALLY complex - see attached).
rate = 6.5/1,200 = 0.005416667 

monthly payment = (rate + [rate / (((1 + rate)^months) -1)] * principal
monthly payment = (0.005416667 + [0.005416667 / (((1.005416667)^360)-1)] * principal
monthly payment = (0.005416667 + [0.005416667 / (((1.005416667)^360)-1)] * principal
monthly payment = 0.005416667 + [(0.005416667 / 6.9917988084 -1)] * 210,852.50 
monthly payment = 0.005416667 + [(0.005416667 / 5.9917988084)] * 210,852.50 
monthly payment = 0.005416667 + [(0.005416667 / 5.9917988084)] * 210,852.50 
monthly payment = (0.005416667 + 0.0009040135) * 210,852.50
monthly payment = 0.0063206805 * 210,852.50
monthly payment = 1,332.73

Answer is a.

Calculator to check your answers:
http://www.1728.org/calcloan.htm

3 0

4 years ago

Read 2 more answers

60. In the given figure, PTR is tangent of a circle. If AT=PT and ZAPT=20°, what is the value of ZABT?

Alchen [17]

The value of angle ABT is 40 degrees if PTR is the tangent of a circle option (a) 40° is correct.

<h3>What is a circle?</h3>

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

It is given that:

A circle is shown in the picture.

PTR is the tangent of a circle.

AT=PT

Angle APT=20°

Let O is the center of the circle:

Angle BOT = 2 Angle PAT = 40 degrees

BO = TO = r

Angle BOT = Angle TBO = (1/2)(180 - 40) = 70 degrees

RTP is the tangent

OT ⊥ PTR

Angle OTA = 90 - Angle ATR = 50 degrees

Angle ABT = 180 - Angle PAT - Angle BTA

= 180 - 20 - (170 + 50)

= 40 degrees

Thus, the value of angle ABT is 40 degrees if PTR is the tangent of a circle option (a) 40° is correct.

Learn more about circle here:

brainly.com/question/11833983

#SPJ1

3 0

2 years ago

This set of points is on the graph of a function.

Shtirlitz [24]

Problem 1)

(-3,9) is one point on the original function, so (9,-3) is on the inverse. We swap x and y. The point (9,-3) isn't listed so we move onto the next.

(-1,1) is on the original so (1,-1) is on the inverse. Again we swap x and y. Choice D matches with this. So D is one of the answers.

Choice A is also an answer since (0,0) swaps to (0,0)

Choice C is also an answer since (2,4) swaps to (4,2)

In summary, the answers are A, C, D

======================================================================
Problem 2)
Replace f(x) with y. Swap x and y. Then solve for y

f(x) = 4x+3
y = 4x+3
x = 4y+3
x-3 = 4y+3-3
x-3 = 4y
4y = x-3
4y/4 = (x-3)/4
y = (x-3)/4
y = x/4-3/4
y = (1/4)x-3/4

which matches with choice A, so choice A is the answer

======================================================================
Problem 3)
Replace g(x) with y. Swap x and y. Then solve for y

g(x) = (-4/3)x + 2
y = (-4/3)x + 2
x = (-4/3)y + 2
x-2 = (-4/3)y + 2-2
x-2 = (-4/3)y
(-3/4)(x-2) = (-3/4)(-4/3)y
(-3/4)(x-2) = y
y = (-3/4)(x-2)
y = (-3/4)x+(-3/4)(-2)
y = (-3/4)x+3/2 ... answer is choice C

======================================================================
Problem 4)

The first two are invertible while the last two are not. The last two fail the horizontal line test so they don't have an inverse.

======================================================================
Problem 5)

It's a bit tricky to determine what the answer choices are saying but I'm assuming they are referring to fourth roots. If so, then we have

f(x) = x^4+7
y = x^4+7
x = y^4+7
x-7 = y^4+7-7
x-7 = y^4
y^4 = x-7
FourthRoot(y^4) = FourthRoot(x-7)
y = FourthRoot(x-7)

which is written as $\sqrt[4]{x-7}$

3 0

3 years ago

Chris went to the store 88 times last month. She buys 73 pencils each time she goes to the store. How many pencils did Chris buy

zheka24 [161]

Answer: 88 x 73 = 6,424

7 0

3 years ago