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Sergio039 [100]
3 years ago
14

A rectangular box has dimensions 4 ft by 5 ft by 2 ft. Increasing each dimension of the box by the same amount yields a new box

with volume six times the old. Find how much each dimension of the original box was increased to create the new box. Round your answer to two decimal places.
Mathematics
1 answer:
adell [148]3 years ago
5 0

Answer:

(4+x)(5+x)(5+x) = 700

x^3 + 14x^2 + 65x + 100 = 700

x^3 + 14x^2 + 65x - 600 = 0

x = 4.225

rounding = 4.23

Step-by-step explanation:

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41) Gabriella invests $8,193 in a retirement
nataly862011 [7]

Answer:

Option C. \$34,252.67  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=18\ years\\ P=\$8,193\\ r=0.08\\n=6  

substitute in the formula above  

A=\$8,193(1+\frac{0.08}{6})^{6*18}=\$34,252.67  

4 0
3 years ago
Simplify the following expression by combining like terms.<br> 3x + 4x² - 7x+ 9x2
EleoNora [17]

Answer:

13x² - 4x

Step-by-step explanation:

3x + 4x² - 7x + 9x² ← collect like terms

= (4x² + 9x² ) + (3x - 7x)

= 13x² + (- 4x)

= 13x² - 4x

7 0
2 years ago
What is - 3x - ( - 2 - 4x ) if x equals 5
m_a_m_a [10]
It would be 7 because -3 times 5
7 0
2 years ago
Ok so this isn't actual homework but I need help calculating this.
jeka57 [31]
Ok so there is 60 minutes in an hour and you have 107 minutes so
107-60 = 47 ( 60 has become an hour)

So we are left with 47 minutes, so add the hour to 7:45 which will make it 8:45 pm
Then add 15 to make it 9:00 pm ( 47 - 15 = 32)

And so then add 32 minutes to 9:00 pm 

Answer is 9:32 p.m.
7 0
3 years ago
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3 years ago
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