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3 years ago

Arrange to Least to Greatest: 1.4, 0, 0.14, 1/4, 1, -1/4

Mathematics

1 answer:

bulgar [2K]3 years ago

5 0

—1/4, 0, 0.14, 1/4, 1, 1.4

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Solve the following system of equations -2x + y = 1 -4x + y = -1

Katyanochek1 [597]

1. x=1/2y+−1/2
2. x=1/4y+1/4

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3 years ago

Read 2 more answers

7 less than two times the sum of 6 and a

Sophie [7]

Answer:

(2(6+a))-7

That is your answer!

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3 years ago

The local humane society currently has 60 cats if 300 animals are in the shelter what percent are the cats

Kaylis [27]

20% are cats.

20 cats/300 total animals=0.2

0.2 is the same thing as 20%.

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3 years ago

Is the function y=1/9x-6 linear or nonlinear?

Galina-37 [17]

It is in the form y = mx + b. therefore it is linear.

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3 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

3 years ago