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KiRa [710]
3 years ago
10

Determine whether the statement is true or false. -3 ≥ -15

Mathematics
1 answer:
Sauron [17]3 years ago
4 0

let's recall that, on the number line, for the positive side, the farther from zero, the larger the number, thus 100 is a much larger number than 10.

now, on the negative side of the number line, the farther from zero, the smaller the number, thus -1 is much much larger number than -1,000,000,000.

is -3 ≥ -15, is -3 larger or equals to -15, well, certainly is not equal but is certainly larger, yes.

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kirill [66]
X + 7y = 180 - - - - - a
4x + 2y = 180 - - - - - - b

Multiple a by -2 and b by 7

-2x - 14y = - 360
28x +14y = 1260

Add the above equations:
26x = 900

The value of x is:
x = 900/26 = 34.6°

The value of y can be obtained by replacing the value of x in equation a

34.6 +7y = 180
7y = 180 - 35.6
y = 20.6°

Hope that helps you
5 0
4 years ago
Suppose an initial investment of $100 will return $50/year for 3 years (assume the $50 is received each year at the end of the y
nydimaria [60]

With a positive NPV, it shows that the investment is profitable.

It is a profitable investment with a positive NPV at a discount rate of 20%.

Data and Calculations

Initial investment = $100

Annual cash inflows = $50

Period of investment = 3 years

Discount rate = 20%

<h3>What is the present value?</h3>

Present value (PV) is the current value of a future sum of money or stream of cash flows given a specified rate of return.

Present Value (PV) annuity factor for 3 years at 20% = 2.106

Present value of annual cash inflows = $105.3 ($50 x 2.106)

Net Present Value (NPV) = $5.3 ($105.3 - $100)

Thus, with a positive NPV, it shows that the investment is profitable.

To learn more about the investment visit:

brainly.com/question/12957049

#SPJ1

4 0
2 years ago
40. Kaitlin bought $34.40 worth of compact discs. The sales tax is 6.5%. What was the total cost rounded to the nearest cent?
galina1969 [7]

Answer:

$34.64

Step-by-step explanation:

Change 6.5% into a decimal. (6.5)/100

Multiply $34.40 by .065. (.065)*(34.40)

Add $34.40 and 2.236. (34.40)+(2.236)

Round 36.636 to the nearest hundredth place.

You have your answer. ($36.64)


6 0
3 years ago
A coffee shop sells lattes for $4 and cappuccinos for $3. Last Friday, the sales totaled $252. If the number of lattes sold was
weeeeeb [17]

Answer:

          \large\boxed{\large\boxed{\text{54 lattes were sold}}}

Explanation:

This is a typical problem to solve with a system of two linear equations.

<u>1. Name the variables</u>:

  • L: number of lattes
  • C: numberof cappuccinos

<u>2. First equation</u>:

  • Lattes for $4 ⇒ sale from L lattes = 4L

  • Cappuccinos for $3. ⇒ sale fro C cappuccinos = 3C

  • Last Friday, the sales totaled $252 ⇒ 4L + 3C = 252

First equation: 4L + 3C = 252

<u>3. Second equation</u>:

  • The number of lattes sold was 6 more than 4 times the number of cappuccinos ⇒L = 6 + 4C

Second equation: L = 6 + 4C

<u>4. Solve the system:</u>

Substitute L on the first equation with 6 + 4C

  • 4 (6 + 4C) + 3C = 252

Solve:

  • Distributive property: 24 + 16C + 3C= 252
  • Add like terms: 24 + 19C = 252
  • Subtraction property of equalities: 19C = 252 - 24
  • Do the operation: 19C = 228
  • Division property of equalities:  C = 228 / 19
  • Do the operation: C = 12

Subsitute C = 12 in L = 6 + 4C

  • L = 6 + 4(12) = 6+ 48 = 54

<u>Answer: 54 lattes were sold</u>

4 0
4 years ago
Please help me with this
Tanzania [10]

Answer:

I think its b or d but I'm not sure

7 0
3 years ago
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