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Aliun [14]
4 years ago
15

Which of the following postulates states that a quantity must be equal to itself?

Mathematics
1 answer:
ivann1987 [24]4 years ago
7 0
The reflexive postulate states that a quantity must be equal to itself
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Point A’ is the image of Point A when point A is rotated about the origin B. What angle in the counterclockwise direction is A r
liberstina [14]

Answer:

90 degrees

Step-by-step explanation:

8 0
3 years ago
BRAINLIEST ASAP! PLEASE HELP ME :)
Afina-wow [57]

Answer:

\large \boxed{\textbf{30.54 yr}}

Step-by-step explanation:

For species A,

P =2000e^{0.05t}

For species B,

P =5000e^{0.02t}

When their populations are equal,

\begin{array}{rcl}2000e^{0.05t} & = & 5000e^{0.02t}\\e^{0.05t} & = & 2.5e^{0.02t}\\0.05t & = & \ln2.5 + 0.02t\\0.05t & = & 0.9163 + 0.02t\\0.03t & = & 0.9163\\t& = & \dfrac{0.9163}{0.03}\\\\& = & \mathbf{30.54}\\\end{array}\\\text{The populations of species A and B will be the same in $\large \boxed{\textbf{30.54 yr}}$}

The diagram below shows the population of Species A overtaking that of Species B in about 30.5 yr.

3 0
4 years ago
Paul is saving for a down payment to buy a house. The account earns 13% interest compound quarterly, and he wants to have $15,00
Tatiana [17]

Answer:

The principal must be = $8991.88

Step-by-step explanation:

Formula for compound interest is:

A = P(1 + \frac{r}{n})^{nt}

Where A is the amount after 't' years.

P is the principal amount

n is the number of times interest is compounded each year.

r is the rate of interest.

Here, we are given that:

Amount, A = $15000

Rate of interest = 13 % compounded quarterly i.e. 4 times every year

Number of times, interest is compounded each year, n = 4

Time, t = 4 years.

To find, Principal P = ?

Putting all the given values in the formula to find P.

15000 = P(1 + \frac{13}{400})^{4\times 4}\\\Rightarrow 15000 = P(1 + 0.0325)^{16}\\\Rightarrow 15000 = P(1.0325)^{16} \\\Rightarrow 15000 = P \times 1.66817253\\\Rightarrow P = \dfrac{15000}{1.66817253}\\\Rightarrow P \approx \$8991.88

So, <em>the principal must be = $8991.88</em>

4 0
3 years ago
1 Roxie is coloring a rectangle sheet of paper. If the base of the rectangle is 8 inches and the height is 11 inches. What is th
kotykmax [81]
88 inches. Area = base x height so 8 x 11 = 88
3 0
3 years ago
Evaluate y=x/7+15 when y=21
Ad libitum [116K]

Answer:

x = 42

Step-by-step explanation:

y = x/7 + 15 ; y = 21

21 = x/7 + 15

21 - 15 = x/7

6 = x/7

x = 6 × 7

x = 42

Thus, The answer is 42

<u>-TheUnknownScientist</u>

3 0
3 years ago
Read 2 more answers
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