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1 year ago

If log 2 = x and log 3 = y, write each logarithm in terms of x and y.

Mathematics

1 answer:

ruslelena [56]1 year ago

7 0

Step-by-step explanation:

log18 = log2 + log3 + log3 = x + 2y.

log9 = log3 + log3 = 2y.

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Graph the equations to solve the system y=x+4 y= -x - 6

Mama L [17]

Answer:

(-5, -1)

General Formulas and Concepts:

<u>Algebra I</u>

Functions

Graphing

Reading a Cartesian Plane
Coordinates (x, y)

Solving systems of equations by graphing

Step-by-step explanation:

Where the 2 equations intersect is the solution to the systems of equations.

5 0

2 years ago

Find the perimeter of a triangle that has 3 equals sides each 6 centimeters long

aleksandrvk [35]

Answer:

18 centimeters

Step-by-step explanation:

The formula for finding the perimeter is side + base+side . There for you do 6+6+6

that gives you 18

5 0

2 years ago

What is the exact time t, in years, needed for the balance of an account that earns 5% annual 8. Interest compounded continuousl

Brums [2.3K]

Answer:

It takes 22.52 years for the balance to triple in value.

Step-by-step explanation:

Continuous compounding:

The amount of money earned using continuous compounding is given by the following equation:

$A(t) = A(0)(1+r)^t$

In which A(0) is the initial amount of money and r is the interest rate, as a decimal.

Interest rate of 5%.

This means that $r = 0.05$ , and thus:

$A(t) = A(0)(1+r)^t$

$A(t) = A(0)(1+0.05)^t$

$A(t) = A(0)(1.05)^t$

Time for the balance to triple?

This is t for which $A(t) = 3A(0)$ . So

$A(t) = A(0)(1.05)^t$

$3A(0) = A(0)(1.05)^t$

$(1.05)^t = 3$

$\log{(1.05)^t} = \log{3}$

$t\log{1.05} = \log{3}$

$t = \frac{\log{3}}{\log{1.05}}$

$t = 22.52$

It takes 22.52 years for the balance to triple in value.

3 0

2 years ago

Is 0.102 less than 3/7

Bond [772]

it is less than

3/7 ⇒ 0.42857142857

3 0

2 years ago

suppose you have three consecutive integers. The greatest of the three integers is twice as great as the sum of the first two. W

zvonat [6]

Answer:

0,1,2

Step-by-step explanation:

(x+2) = 2((x+1)+(x)

x+2 = 2x+2+2x

x+2 = 4x+2

-x -x

2 = 3x + 2

-2 -2

0/3 = 3x/3

0 = x

6 0

2 years ago