I NEED HELP ASAP :(

PLEAAASE ANSWER ILL GIVE BRAINLY conjunction or disjunction: −7 < x – 3 ≤ 6

natulia [17]

Answer:

−4<x≤9

Conjunction

Step-by-step explanation:

-7 < x -3

x -3 ≤ 6

-7 + 3 < ( x - 3) + 3

(x -3) + ≤ 6 + 3

-4 < x -3 + 3

x - 3 + 3 ≤ 9

-4 < x

x ≤ 9

x > -4

x ≤ 9

5 0

4 years ago

A principal of $1900 was invested at 3.75% interest, compounded annually. Let be the number of years since the start of the inve

Anna11 [10]

Answer:

$y(t) = \$1900*1.0375^t$

Step-by-step explanation:

If y is the future value of the $1900 investment, in dollars, after t years at a rate of 3.75% per year, compounded annually. The exponential function that describes the relationship between the variables y and t is:

$y(t) = \$1900*(1.0375)^t$

This relationship means that for every year t, the amount y will increase by a factor of 1.0375.

8 0

3 years ago

Asap!!!!!!!!

Elza [17]

Answer: The amount that Sebastian has more than Avery is $1120

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

Considering Sebastian's investment,

P = 32000

r = 2.625% = 2.625/100 = 0.02625

n = 12 because it was compounded 12 times in a year.

t = 18 years

Therefore,.

A = 32000(1 + 0.02625/12)^12 × 18

A = 32000(1+0.0021875)^216

A = 32000(1.0021875)^216

A = 32000 × 1.603

A = 51296

The formula for continuously compounded interest is

A = P x e (r x t)

Where

A represents the future value of the investment after t years.

P represents the present value or initial amount invested

r represents the interest rate

t represents the time in years for which the investment was made.

e is the mathematical constant approximated as 2.7183.

From the information given,

P = 32000

r = 2.5% = 2.5/100 = 0.025

t = 18 years

Therefore,

A = 32000 x 2.7183^(0.025 x 18)

A = 32000 x 2.7183^(0.45)

A = 32000 × 1.568

A = 50176

The amount that Sebastian has more than Avery is

51296 - 50176 = $1120

4 0

3 years ago

A box contains 4 yellow tiles, 6 green tiles, and 10 purple tiles. Without looking, you draw out a tile and then draw out a seco

Sonbull [250]

4 yellow + 6 green + 10 purple = 20 total tiles

1st draw P purple: 10 purple/20 total
2nd draw P purple: 9 purple/19 total

Probability purple then purple (no returns): $\frac{10}{20} x \frac{9}{19}$
= 90/380
= 45/190
= 9/38

5 0

3 years ago

Calculate the length of the segment labeled x. Х 8 A- 12 20

IgorLugansk [536]

Answer:

x = 40

Step-by-step explanation:

Given 2 secants from an external point to the circle, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

8(8 + x) = 12(12 + 20)

8(8 + x) = 12 × 32 = 384 ( divide both sides by 8 )

8 + x = 48 ( subtract 8 from both sides )

x = 40

7 0

3 years ago

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