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KengaRu [80]
3 years ago
7

Please help I will mark you as brainliest

Mathematics
2 answers:
irga5000 [103]3 years ago
5 0

Answer:

<u>3400</u> is your answer

Step-by-step explanation:

hope it helps you

have a great day!!

Vilka [71]3 years ago
3 0

Answer:

3999

Step-by-step explanation:

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How many solutions exist for the given equation?
ryzh [129]

Answer:

one

Step-by-step explanation:

3(x - 2) = 22 - x

3x - 6 = 22 - x

3x + x = 22 + 6

4x = 28

4x/4 = 28/4

x = 7

4 0
3 years ago
Read 2 more answers
2x + 5y = -3<br> 2x + 2y = 6
oee [108]

Answer:

(6, - 3 )

Step-by-step explanation:

Given the 2 equations

2x + 5y = - 3 → (1)

2x + 2y = 6 → (2)

Subtracting (1) from (2) term by term will eliminate the x- term

(2x - 2x) + (2y - 5y) = 6 - (- 3), that is

- 3y = 9 ( divide both sides by - 3 )

y = - 3

Substitute y = - 3 in either of the 2 equations and solve for x

Substituting y = - 3 in (1)

2x + 5(- 3) = - 3

2x - 15 = - 3 ( add 15 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Solution is (6, - 3 )

8 0
3 years ago
Read 2 more answers
Priscilla invests $10,000 in an account that compounds interest continuously and earns 11%. How long will it take for her money
Shkiper50 [21]

Answer:

Step-by-step explanation:

When the interest compounds continuously, our formula is

A(t)=Pe^{rt}

If we start with 10000 and are looking for how long, t, it takes to double, we are looking for how long it will take for our account to have 2 times 10000.  That's 20000.  Therefore, our equation is

20000=10000e^{.11t}

Divide both sides by 10000 to get

2=e^{.11t}

Take the natural log of both sides to "undo" that e:

ln(2)=ln(e^{.11t})

Again, since ln and e undo each other what we have now is

ln(2) = .11t and

\frac{ln(2)}{.11}=t so

t = 6.3 years

5 0
3 years ago
Which expression is equivalent to 7a³ (8a² + a)²-4a³?<br> Simplify.
valentina_108 [34]

7a³ (8a² + a)²-4a³ \\  \\ 7 {a}^{3}(8 { {a}^{2} + a)(8 {a}^{2} + a )} - 4 {a}^{3}  \\  \\ 7 {a}^{3} ( {8a}^{2} (8 {a}^{2} + a ) + a(8 {a}^{2} + a ) - 4 {a}^{3}  \\  \\ 7 {a}^{3} (64 {a}^{4}  +  8{a}^{3}  + 8 {a}^{3}  +  {a}^{2} ) - 4 {a}^{3}  \\  \\ 7 {a}^{3}  (64 {a}^{4}  +  16 {a}^{3}  +  {a}^{2} ) - 4 {a}^{3}  \\  \\ 448 {a}^{7}  + 112 {a}^{6}  + 7 {a}^{5}  - 4 {a}^{3}  \\  \\  {a}^{3} (448 {a}^{4}  + 112 {a}^{3}  + 7 {a}^{2}  - 4).

8 0
2 years ago
8. You recorded the time in seconds it took for 8 participants to solve a puzzle. The times were: 15.2, 18.8, 19.3, 19.7, 20.2,
Ivanshal [37]

Answer:

Xbar = 20.813

Median = 19.95

5 - number summary :

Minimum = 15.2

Q1 = 19.05; Q2 = 19.95 ; Q3 = 21.95 ; maximum = 29.4

Standard deviation, s = 4.068

Step-by-step explanation:

Given the data:

X : 15.2, 18.8, 19.3, 19.7, 20.2, 21.8, 22.1, 29.4

Ordered data:

15.2, 18.8, 19.3, 19.7, 20.2, 21.8, 22.1, 29.4

The mean (xbar) :

Xbar = Σx / n ; n = sample size = 8

Xbar = 166.8 / 8 = 20.8125

Xbar = 20.813

The median :

1/2 *(n+1)th term

1/2(9) = 4.5

(4 + 5)th term / 2

(19.7 + 20.2) / 2 = 19.95

The five number summary :

Minimum = 15.2

Lower quartile (Q1) = 1/4(9) = 2.25 ; (2nd + 3rd) term / 2

(18.8 + 19.3) / 2 = 19.05

Median (Q2) = 19.95

Upper quartile (Q3) :

3/4(9) = 6.75 = (6th + 7th) / 2

(21.8 + 22.1) / 2 = 21.95

Maximum = 29.4

The standard deviation, s = sqrt[(x - xbar)²/ (n-1)]

Using calculator ;

s = 4.068

5 0
3 years ago
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