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Andrei [34K]
2 years ago
13

This trapezoid-based right prism has a volume of 30 cm 3 30 cm 3 30, start text, space, c, m, end text, cubed.What is the area o

f the base of the prism?
Mathematics
1 answer:
Ne4ueva [31]2 years ago
5 0

The area base when the trapezoid-based right prism has a volume of, 6cm,5 cm, and 1 cm should be 6.

Calculation of the area

Here we assume

a = 6

b = 5

c = 1

Now we know that

<h3>What is the area of the trapezoid-based right prism?</h3>

Area=\frac{(a+b)}{2} \times c

Area=\frac{(6+5)}{2} \times 1\\Area=\frac{11}{2}\\ Area=5.5\\Area=6

= 6

Hence, The area base when the trapezoid-based right prism has a volume of, 6cm,5 cm, and 1 cm should be 6.

To learn more about an area here:

brainly.com/question/24682685

#SPJ1

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Answer:

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(b) The effective rate is r_E=4.759 \:{\%}.

(c) The time to reach ​$13,000 is 21.88 years.

Step-by-step explanation:

The definition of Continuous Compounding is

If a deposit of P dollars is invested at a rate of interest r compounded continuously for t years, the compound amount is

A=Pe^{rt}

(a) From the information given

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t=9 \:years

Applying the above formula we get that

A=4700e^{0.0465\cdot 9}\\A=7142.49

The future value after 9 ​years is $7142.49.

(b) The effective rate is given by

r_E=e^r-1

Therefore,

r_E=e^{0.0465}-1=0.04759\\r_E=4.759 \:{\%}

(c) To find the time to reach ​$13,000, we must solve the equation

13000=4700e^{0.0465\cdot t}

4700e^{0.0465t}=13000\\\\\frac{4700e^{0.0465t}}{4700}=\frac{13000}{4700}\\\\e^{0.0465t}=\frac{130}{47}\\\\\ln \left(e^{0.0465t}\right)=\ln \left(\frac{130}{47}\right)\\\\0.0465t\ln \left(e\right)=\ln \left(\frac{130}{47}\right)\\\\0.0465t=\ln \left(\frac{130}{47}\right)\\\\t=\frac{\ln \left(\frac{130}{47}\right)}{0.0465}\approx21.88

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