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2 years ago

A fish tank in the shape of a cuboid has length 60cm, depth 30 cm and height 30 cm.

Mathematics

1 answer:

Elena-2011 [213]2 years ago

5 0

Answer:

54 liters

Step-by-step explanation:

the right term to describe the capacity is volume

volume = height × length × width

(depth and height have the same meaning)

volume = 30 × 30 × 60

volume = 54000 cm³

1 liter = 1 dm³

54000 cm³ = 54000÷ 1000

(why divided by 1000 not 10? because its cm³ which means cm × cm × cm => 10 × 10 × 10)

54000 cm³ = 54 dm³

then

54 dm³ = 54 liters

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The graph shows the amount of water that remains in a barrel after it begins to leak. The variable x represents the number of da

vivado [14]

A = ( 15 , 15 )

B = ( 6 , 33 )

$slope = \frac{y(b) - y(a)}{x(b) - x(a)} \\$

$slope = \frac{33 - 15}{ 6 - 15} \\$

$slope = \frac{18}{ - 9} \\$

$slope = - 2$

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7 0

3 years ago

11. Mr Lee bought a second hand car for

Marrrta [24]

Answer :

Depends on the rate compound interest is accrued. See answers.

Step-by-step explanation:

We need the compound interest formula which is:

$A = P (1+\frac{r}{n} )^{nt}$

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

It doesn't say how frequently the interest is compounded, so we will do monthly, quarterly, and yearly.

MONTHLY

So we know the car costs $25,480 and he made a down payment of $10,000. By subtracting the down payment from the purchase price we find the loan amount.

$25,480 - $10,000 = $15,480

P = 15,480

r = 4.75% = .0475

n = 12 (12 months in a year)

t = 2

Plug everything into the compound interest formula.

$A = P (1+\frac{r}{n} )^{nt}$

$A = 15480(1+\frac{.0475}{12})^{12*2}$

$A = 15480(1+\frac{.0475}{12})^{24}$

$A = 15480(1+.00396)^{24}$

$A = 15480(1.00396)^{24}$

$A = 15480*1.0992$

$A = $17016.14$

Mr. Lee paid $17,016.14 when the bill came due at 2 years with interest compounded monthly.

QUARTERLY

P = 15,480

r = 4.75% = .0475

n = 4 (4 quarters in a year)

t = 2

$A = P (1+\frac{r}{n} )^{nt}$

$A = 15480(1+\frac{.0475}{4})^{4*2}$

$A = 15480(1+\frac{.0475}{4})^{8}$

$A = 15480(1+.0119})^{8}$

$A = 15480(1.0119)^{8}$

$A = 15480*1.099$

$A = 15480(1.099)$

$A = 17013.20$

Mr. Lee paid $17,013.20 when the bill came due at 2 years with interest compounded quarterly.

YEARLY

P = 15,480

r = 4.75% = .0475

n = 1

t = 2

$A = P (1+\frac{r}{n} )^{nt}$

$A = 15480(1+\frac{.0475}{1})^{1*2}$

$A = 15480(1+\frac{.0475}{12})^{2}$

$A = 15480(1+.0475})^{2}$

$A = 15480(1.0475)^{2}$

$A = 15480*1.0973$

$A = 16985.53$

Mr. Lee paid $16,985.53 when the bill came due at 2 years with interest compounded yearly.

4 0

4 years ago

What is the value of a in the equation below? 2a + 3 = 4a + 5<br> Please show work :)

Temka [501]

The answer is .75=a

2a+3=4a+5
-2a -2a
3 = 4a+5
-5 -5
3 = 4a
3/4 4/4
.75 = a

7 0

4 years ago

What is the least common multiple of these two denominators?<br> 3/6,2/12

Reptile [31]

Answer:

the answer is 6

7 0

3 years ago

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The area of a trapezoid is given by the formula

VARVARA [1.3K]

Answer:

ok I don't know but thanks for the points

5 0

3 years ago

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