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3 years ago

Y = 3x x + y = 52 substitution method help quick show all work

Mathematics

1 answer:

AfilCa [17]3 years ago

8 0

Answer:

$x + 3x = 52 \\ 4x = 52 \\ x = 13 \\ y = 3x = 3 \times 13 = 39$

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Suppose a deposit of $ 2 , 000 in a savings account that paid an annual interest rate r (compounded yearly) is worth $ 2 , 209 a

arsen [322]

Answer:

5.1% (nearest tenth)

Step-by-step explanation:

Annual Compound Interest Formula

$\large \text{$ \sf A=P\left(1+r\right)^{t} $}$

where:

A = final amount
P = principal amount
r = interest rate (in decimal form)
t = time (in years)

Given:

A = $2,209
P = $2,000
t = 2 years

Substitute the given values into the formula and solve for r:

$\implies \sf 2209=2000\left(1+r\right)^{2}$

$\implies \sf \dfrac{2209}{2000}=(1+r)^2$

$\implies \sf 1.1045=(1+r)^2$

$\implies \sf \sqrt{1.1045}=1+r$

$\implies \sf r = \sqrt{1.1045}-1$

$\implies \sf r = 0.05095194942...$

$\implies \sf r = 5.095194942...\%$

Therefore, the annual interest rate is 5.1% (nearest tenth)

6 0

2 years ago

-2 (h - 5) < -12 Please some help me I don’t understand :(

Marysya12 [62]

Answer:

$h>11$

Step-by-step explanation:

We have the inequality:

$-2(h-5)$

Solve. Divide both sides by -2. Since we are dividing by a negative, we must flip the inequality sign. Thus:

$h-5>6$

Add 5 to both sides:

$h>11$

Therefore, our solution is all numbers greater than 11 .

This means that if we substitute any number greater than 11 into our original inequality, the inequality will be true.

6 0

3 years ago

in 2014 the attendance at jefferson schools fall festival was 600 in 2015 the attendance was 575 what was the percent change in

pantera1 [17]

$600 - 575 = 25$

$\dfrac{25}{600} \times 100\% = 4.17\%$

Answer : 4.17%

Hope this helps. - M

8 0

3 years ago

Find the number of bacteria after 10 minutes?

aleksandr82 [10.1K]

Answer:

Number of bacteria when t = 10 min is 3,000

Step-by-step explanation:

Given:

Number of bacteria in a culture by equation

Q(t) = 2(729^t)

Value of t = 10 min = 10 / 60 = 0.1667 hour

where t is number of hours

Find:

Number of bacteria when t = 0.1667 hour

Computation:

Given equation

Q(t) = 2(729^t)

Put t = 0.1667

Q(10) = 2(729⁰'¹⁶⁶⁷)

We know that;

a⁰ = 1

So,

Q(0.1667) = 2(729⁰)

Q(0.1667) = 3

Number of bacteria when t = 0 is 3,000

6 0

3 years ago

Solve for y and x 2+3x-1=4y And 2x-3=y

Natasha_Volkova [10]

Answer:

x = 2.6, y = 2.2

Step-by-step explanation:

if 4y = 2 + 3x - 1 and

y = 2x - 3,

4y = 2 + 3x -1 and 4y = 8x - 12 so

8x - 12 = 2 + 3x - 1

so 5x - 12 = 1,

5x = 13,

x = 2.6

If x = 2.6,

y = 5.6 - 3

so y = 2.2

Please mark me as Brainliest!

6 0

3 years ago