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3 years ago

1 litre of water has a mass of 1 kg. Find the volume in litres of the water in a bottle if the water has a mass of 78 g.

Mathematics

1 answer:

shusha [124]3 years ago

6 0

If 78g is 0,78kg then the volume in litres is the same (0,78L) I think it's right. Hope this helped!

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One-fifth of an unknown number is 16. What is the unknown number?

makkiz [27]

Answer:

It would be 80.

Step-by-step explanation:

You could use the inverse operation to find the number which would be

16 x 5 = 80. You can also inverse it to find the answer.

80/5=16. Hope this helps!

6 0

3 years ago

Help please, I need help

mel-nik [20]

Answer:

No, it is not.

Step-by-step explanation:

This is not proportional, however, it is linear

7 0

3 years ago

A company has developed a wristband for monitoring blood sugar levels without requiring direct blood samples. It is interested i

djverab [1.8K]

Answer:

B. Choose a random sample of people from the local area and random times throughout the day and measure their blood sugar using both the wristband and standard blood test.

Step-by-step explanation:

This is because here we are using a sample that is not limited to one time(like lunch time as option 1), the blood reading are of the same person(unlike option 3) and is not biased due to selective sample collection(like patients in a hospital who normally will show a greater range of results)

5 0

4 years ago

Clark and Lana take a 30-year home mortgage of $128,000 at 7.8%, compounded monthly. They make their regular monthly payments fo

svp [43]

Answer:

Step-by-step explanation:

From the given information:

The present value of the house = 128000

interest rate compounded monthly r = 7.8% = 0.078

number of months in a year n= 12

duration of time t = 30 years

To find their regular monthly payment, we have:

$PV = P \begin {bmatrix} \dfrac{1 - (1 + \dfrac{r}{n})^{-nt}}{\dfrac{r}{n}} \end {bmatrix}$

$128000 = P \begin {bmatrix} \dfrac{1 - (1 + \dfrac{0.078}{12})^{- 12*30}}{\dfrac{0.078}{12}} \end {bmatrix}$

128000 = 138.914 P

P = 128000/138.914

P = $921.433

∴ Their regular monthly payment P = $921.433

To find the unpaid balance when they begin paying the $1400.

when they begin the payment ,

t = 30 year - 5years

t= 25 years

$PV= 921.433 \begin {bmatrix} \dfrac{1 - (1 - \dfrac{0.078}{12})^{25*30}}{\dfrac{0.078}{12}} \end {bmatrix}$

PV = $121718.2714

C) In order to estimate how many payments of $1400 it will take to pay off the loan, we have:

$121718.2714 = \begin {bmatrix} \dfrac{1300 (1 - \dfrac{12.078}{12}))^{-nt}}{\dfrac{0.078}{12}} \end {bmatrix}$

$121718.2714 = 200000 \begin {bmatrix} (1 - \dfrac{12.078}{12}))^{-nt} \end {bmatrix}$

$\dfrac{121718.2714}{200000 } = \begin {bmatrix} (1 - \dfrac{12.078}{12}))^{-nt} \end {bmatrix}$

$0.60859 = \begin {bmatrix} (1 - \dfrac{12}{12.078}))^{nt} \end {bmatrix}$

$0.60859 = (0.006458)^{nt}$

$nt = \dfrac{0.60859}{0.006458}$

nt = 94.238 payments is required to pay off the loan.

How much interest will they save by paying the loan using the number of payments from part (c)?

The total amount of interest payed on $921.433 = 921.433 × 30(12) years

= 331715.88

The total amount paid using 921.433 and 1300 = (921.433 × 60 )+( 1300 + 94.238)

= 177795.38

The amount of interest saved = 331715.88 - 177795.38

The amount of interest saved = $153920.5

6 0

4 years ago

What is the median of 3, 2, 3, 6, 7, 5, 9?

sdas [7]

Answer:

The value of the middle-most observation is called the median of the data.

First arrange the given numbers in ascending order,

2,2,3,5,7,9,9,10,11

Here n=9, which is odd.

Where, n is the number of the given number.

median = value of

4 0

2 years ago

Read 2 more answers