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3 years ago

. The value of a lottery prize doubles

Mathematics

1 answer:

inna [77]3 years ago

8 0

Answer: P(t) = $1000*2^t

Step-by-step explanation:

Ok, we know that in the week 1 the price is: p = $1000

After one week, the price doubles, so here we have: p = 2*$1000

After another week, the price doubles again, here the price is:

p = 2*(2*$1000) = $1000*2^2

Here we already can see the relation, for each week, we multiply the previous price by two, which will increase the exponent in the two by 1 unit.

Then, for week number t, the price will be:

P(t) = $1000*2^t

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Anton [14]

Answer:

2. x = 47

3. x = 2

Step-by-step explanation:

These problems involve proportions, or equivalent ratios. You can solve for 'x' in each by using cross-multiplication and division.

2. 28(7) = 4(x + 2)

Distribute = 196 = 4x + 8

Subtract 8 from both sides: 196 - 8 = 4x + 8 - 8 or 188 = 4x

Solve for x: x = 47

3. 2(2x + 7) = 11(3x - 4)

Distribute: 4x + 14 = 33x - 44

Add 44 to both sides: 4x + 14 + 44 = 33x - 44 + 44 or 4x + 58 = 33x

Subtract 4x from both sides: 4x + 58 - 4x = 33x - 4x or 58 = 29x

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4 0

3 years ago

What is the area in square units of the rectangle

Vsevolod [243]

$\bf \textit{area of a rectangle}\\\\
A=length\cdot width\qquad \qquad A=\cfrac{3}{7}\cdot \cfrac{2}{9}\implies A=\cfrac{6}{63}\implies A=\cfrac{2}{21}$

8 0

3 years ago

Help plz need answer asap

AlladinOne [14]

Answer:

The image that is correct is the one with yellow starting at positive 4 and green at negative 4. The solution is anything less than positive 4.

3 0

3 years ago

8 freshmen, 9 sophomores, 9 juniors, and 7 seniors are eligible to be on a committee.

loris [4]

Answer: 11113200

Step-by-step explanation:

We know that , the number of combination of choosing r things from n things is given by :-

$^nC_r=\dfrac{n!}{r!(n-r)!}$

Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-

$^8C_4\times ^9C_5\times^9C_2\times^7C_3$

$=\dfrac{8!}{(8-4)!4!}\times\dfrac{9!}{(9-5)!5!}\times\dfrac{9!}{(9-2)!2!}\times\dfrac{7!}{3!(7-3)!}\\\\ =\dfrac{8\times7\times6\times5\times4!}{4!4!}\times\dfrac{9\times8\times7\times6\times5!}{4!5!}\times\dfrac{9\times8\times7!}{7!2!}\times\dfrac{7\times6\times5\times4!}{3!4!}\\\\=11113200$

∴ The number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors = 11113200

6 0

3 years ago

(2n4 - 13n3 + 32n2 – 51n – 54) = (2n – 9)

Bezzdna [24]

Answer:

2n-9

Step-by-step explanation:

7 0

2 years ago