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Jlenok [28]
3 years ago
12

Please factor by grouping. Show work 12x^3+2x^2-30x-5

Mathematics
1 answer:
UkoKoshka [18]3 years ago
7 0
12x³ + 2x² - 30x - 5
2x²(6x) + 2x²(1) - 5(6x) - 5(1)
2x²(6x + 1) - 5(6x + 1)
(2x² - 5)(6x + 1)
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Fred is making a bouquet of carnations and roses. The carnations cost $5.25 in all. The roses cost $1.68 each. How many roses di
olga nikolaevna [1]

Answer:

8 roses

Step-by-step explanation:

First start by subtracting $18.69 by $5.25 because you already know how much the carnations cost and how much the bouquet cost in all. When you subtract 18.69 by 5.25 you should get $13.44. If each rose cost $1.68 then divide 13.44 by 1.68 to get the amount of roses in the bouquet.

8 0
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
Emma puts $10,000 in a simple interest account at a bank.
goldenfox [79]

Answer: Hi Hope This Helps :D

Step-by-step explanation:

We have to calculate the annual interest rate for the account. Formula for the simple interest is : I = P * r * t, where P is the investment, r is the annual interest rate and t is time in years. In this case: 1,800 = 10,000 * r * 4; 1,800 = 40,000 * r; r = 1,800 : 40,000; r = 0.045, or 4.5 %. Answer: The annual interest rate is 4.5 %

5 0
2 years ago
Find the circumference of a circle with a radius of 10. Leave in terms of pi
Alexus [3.1K]

The formula of a cirumference of a circle:

C=2\pi r

r - radius

We have r = 10. Substitute:

C=2\pi(10)=20\pi

<h3>Answer: C = 20π</h3>
6 0
3 years ago
Please help ! 1 &amp; 2 :) ​
Korolek [52]

Answer:

first one 401.76, second one 93.96

Step-by-step explanation:

7 0
3 years ago
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