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3 years ago

6

Can someone help me with this and explain: Compute 28P7

1 answer:

sp2606 [1]3 years ago

3 0

Using the factorial notation of the permutation formula, we get:

$nPr = \frac{n!}{(n - r)!}$
$28P7 = \frac{28!}{(28 - 7)!}$
$= 28 \cdot 27 \cdot 26 \cdot 25 \cdot 24 \cdot 23 \cdot 22$
$= 5 967 561 600$

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A random two digit number (10-99) is drawn. Find P(odd number)

Mars2501 [29]

Answer:

P(odd number) = 0.5

Step-by-step explanation:

There are 90 members in the set (10, 11, 12, .. , 97, 98, 99)

When we have an even number of consecutive numbers, the number of even numbers equals the number of odd numbers. This means that half of the numbers in this set are even and half of them are odd.

So the probability of P(odd number) = 0.5

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3 years ago

Derive the equation of the parabola with a focus at (2, 4) and a directrix of y = 8. f(x) = −one eighth (x − 2)2 + 6 f(x) = one

vfiekz [6]

Answer:

A

Step-by-step explanation:

For any point (x, y ) on the parabola the focus and directrix are equidistant

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$\sqrt{(x-2)^2+(y-4)^2}$ = | y - 8 |

Squaring both sides gives

(x - 2)² + (y - 4)² = (y - 8)²

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8y = - (x - 2)² + 48

y = - $\frac{1}{8}$ (x - 2)² + 6 → A

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3 years ago

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Joseph received a $20 gift card for downloading music. Each downloaded song costs $1.29. Explain how to write and solve an inequ

beks73 [17]

Answer:

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Step-by-step explanation:

Lets take the number of songs he download = x

So $1.29x = $20

So "x" = 20/4.29 = 15.5

So songs he can purchase = 15 songs

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3 years ago

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How many orders of magnitude is $1000 than a nickel?

Leto [7]

I'm pretty sure it is a $20 bill...

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3 years ago

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Help plzzz thank you !

VashaNatasha [74]

Answer:

a. Ameribank-$15,157.50

b. Capital Two-$4,646.25

Step-by-step explanation:

a. Tad's savings is $15,000, we calculate his total amount at the end of the year for each bank:

#Ameribank

$A=P+I=P+PRT\\\\=15000+15000\times 0.0105\times 1\\\\=\$15,157.50$

#Huffington( we use the effective rate to calculate the compound amount):

$i_m=(1+i/m)^m-1\\\\=(1+0.0095/12)^[12}-1=0.009541\\\\A=P(1+i_m)^n\\\\=15000(1.009541)^1\\\\=\$15,143.12$

#Sixth-Third, Take 1 yrs=52 weeks:

$i_m=(1+i/m)^m-1\\\\=(1+0.01/52)^{52}-1=0.01005\\\\A=15000(1.01005)^1\\\\=\$15,150.74$

#Hence, Ameribank is the best option as his money grows to $15,157.50 which is greater than all the remaining two options.

b. We use the compound interest formula $A=P(1+r/n)^{nt}$ to determine which bank gives the best option:

#Capital Two. r=3.75%, n=12,t=4

$A=P(1+r/n)^{nt}\\\\=4000(1+0.0375/12)^{12\times4}\\\\=\$4,646.25$

#J.C Morgan, t=2, r=3.55% n=12

$A=P(1+r/n)^{nt}\\\\=4000(1+0.0355/12)^{12\times 2}\\\\=\$4,293.87$

#Silverman Slacks, n=12,t=3, r=3.65%

$A=P(1+r/n)^{nt}\\\\=4000(1+0.0365/12)^{12\times3}\\\\=\$4,462.14$

We compare the investment amounts after t years:

$Capital>Silver>Morgan=4646.25>4462.14>4293.87$

Hence, Capital two is the best option with an investment amount of $4,646.25

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3 years ago

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