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2 years ago

FINAL EXAM PLEASSE HELP

Mathematics

1 answer:

krok68 [10]2 years ago

3 0

f(3) = -4 as 3 lies between 2 and 5

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Figure A ~ Figure B Find the volume of Figure A

postnew [5]

9514 1404 393

Answer:

1 m³

Step-by-step explanation:

The ratio of volumes is the cube of the ratio of corresponding linear dimensions.

Va/Vb = ((2 m)/(8 m))³ = (1/4)³ = 1/64

Va = Vb(1/64) = (64 cu. m)/(64) = 1 cu. m

The volume of figure A is 1 m³.

4 0

3 years ago

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A new car is purchased for $17,000 and over time its value depreciates by one half every 3 years. What is the value of the car 1

Jet001 [13]

Answer:

The answer is "$238".

Step-by-step explanation:

Current worth $= \$ 17,000$

depreciates by $\frac{1}{2}$ in 3 years.

time= 19 years

depreciates rate=?

Using formula:

$\to \text{Worth= Current worth}(1- \frac{\text{depreciates rate}}{100})^{time}$

$\to A_t=A_0(1-\frac{r}{100})^t$

calculates depreciate value in 3 year $= \frac{1}{2} \times 17,000$

$= 8,500$

so,

$A_t=8,500\\\\A_0=17,000\\\\t=3\ years$

$\to A_t=A_0(1-\frac{r}{100})^t\\\\\to 8,500= 17,000(1-\frac{r}{100})^3\\\\\to \frac{8,500}{17,000}= (1-\frac{r}{100})^3\\\\\to \frac{1}{2}= (1-\frac{r}{100})^3\\\\\to (\frac{1}{2})^{\frac{1}{3}}= (1-\frac{r}{100})\\\\\to 0.793700526 = (1-\frac{r}{100})\\\\\to \frac{r}{100} = (1-0.793700526)\\\\\to \frac{r}{100} = (1-0.8)\\\\\to r= 0.2 \times 100 \\\\\to r= 20 \%$

depreciates rate= 20%

$\to \text{Worth= Current worth}(1- \frac{\text{depreciates rate}}{100})^{time}$

$= \$ 17,000 (1- \frac{20}{100})^{19}\\\\= \$ 17,000 (1-0.2)^{19}\\\\= \$ 17,000 (0.8)^{19}\\\\= \$ 17,000 \times 0.014\\\\= \$ 238$

4 0

3 years ago

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What expression is equivalent to 6+3(n-4)-8+2n

lorasvet [3.4K]

Answer:

Step-by-step explanation:

Comment

Begin by removing the brackets.

6+3(n-4)-8+2n

6 + 3n - 12 - 8 + 2n Collect like terms

3n + 2n + 6 - 12 - 8 Combine

5n - 14

Answer

5n - 14

4 0

2 years ago

How do i solve -6=b/18

asambeis [7]

Answer: b= -108

Step-by-step explanation:

-6=b/18

-6=b/2(3)^2

-18(6)=b

-108=b

b= -108

*I hope that this makes sense :)

3 0

3 years ago

ANSWER QUICK 13+5 3/4

Vaselesa [24]

Answer:

18.75 or 18 3/4

Step-by-step explanation:

4 0

3 years ago

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