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2 years ago

Be my friend with your a Tauras, Leo, or Capicorn. I love those zodiac signs!

Mathematics

2 answers:

34kurt2 years ago

4 0

Answer:

Step-by-step explanation:

garri49 [273]2 years ago

3 0

same i love them they are too dangerous

plz mark me as brilliant answer

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If Free Yer Assets Bank (FYAB) will give you 0.25% compounded quarterly and I.M.A.Q.T.π bank will give you 0.23% interest compou

ivann1987 [24]

Answer:

FYAB gives a better deal.

Step-by-step explanation:

Compound interest:

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

Continuously compounded interest:

$A = Pe^{rt}$

For the quarterly compounded interest, r = 0.25%, and n = 4.

$2P = P(1 + \dfrac{0.0025}{4})^{4t}$

$1.000625^{4t} = 2$

$\log (1.000625^{4t}) = \log 2$

$4t(\log 1.000625) = \log 2$

$t = \dfrac{\log 2}{4\log 1.000625}$

$t = 277$

For the continuously compounded interest, r =0.23%

$A = Pe^{rt}$

$2P = Pe^{0.0023t}$

$2 = e^{0.0023t}$

$\ln 2 = \ln e^{0.0023t}$

$\ln 2 = 0.0023t$

$t = \dfrac {\ln 2}{0.0023}$

$t = 301$

The quarterly compounded doubles in 277 years.

The continuously compounded doubles in 301 years.

Answer: FYAB gives a better deal.

7 0

2 years ago

The distribution of IQ scores can be modeled by a normal distribution with mean 100 and standard deviation 15.

evablogger [386]

Answer:

4.4% of the population with IQ between 120 and 125.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 100

Standard Deviation, σ = 15

We are given that the distribution of IQ scores is a bell shaped distribution that is a normal distribution.

a) Let X be a person's IQ score.

Then, density functions for IQ scores is given by:

$P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{z^2}{2}}\\\\\text{where,}\\\\z = \frac{x-\mu}{\sigma}\\\\P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{(x-\mu)^2}{2\sigma^2}}\\\\P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{(x-100)^2}{450}}$

b) P(population with IQ between 120 and 125.)

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

$P(120 \leq x \leq 125) = P(\displaystyle\frac{120 - 100}{15} \leq z \leq \displaystyle\frac{125-100}{15}) = P(1.33 \leq z \leq 1.66)\\\\= P(z \leq 1.66) - P(z < 1.33)\\= 0.952 - 0.908 = 0.044 = 4.4\%$

$P(120 \leq x \leq 125) = 4.4\%$

6 0

2 years ago

Solve each system by graphing -6-3x=-2y -2y=-6-3x

omeli [17]

These are the same line when you graph. So there are infinite solutions to this system.

7 0

3 years ago

WILL MARK BRAINLIEST TO THE BEST ANSWER!!

ruslelena [56]

$\dfrac{12^3}{12^7} = 12^{3 - 7} = 12^{-4} = \dfrac{1}{12^4}$

Answer: B

8 0

2 years ago

Read 2 more answers

Your family goes to a Southern-style restaurant for dinner. There are 7 people in your family. Some order the chicken dinner for

butalik [34]

Answer:

a) 4 people ordered streak dinner

b) 3 people ordered chicken dinner

Step-by-step explanation:

Let the number of people that ordered steak dinner be x

and the number of people that ordered chicken dinner be y

From the question,

There are 7 people in your family

Hence, we can write that

x + y = 7 ...... (1)

Also from the question

Some order the chicken dinner for $13 and some order the steak dinner for $18 and the total bill was $111.

We can then write that

13y + 18x = 111 ...... (2)

From equation (1)

x + y = 7

Then,

x = 7 - y ...... (3)

Put this into equation (2)

13y + 18x = 111

13y + 18(7 - y) = 111

13y + 126 - 18y = 111

-5y = -15

5y = 15

y = 15 / 5

y = 3

Put the value of y into equation (3) to get x

x = 7 - y

Then

x = 7 - 3

x = 4

Hence, 4 people ordered streak dinner

and 3 people ordered chicken dinner

a) 4 people ordered streak dinner

b) 3 people ordered chicken dinner

3 0

2 years ago